Answer:
Disobedience of the law or it may be ignorance
Explanation:
It may be that the kids didnt see the sign or it might be ignorance
Eve files a suit against Financial Associates, Inc. (FA), to enforce an oral contract that would otherwise be unenforceable under the Statute of Frauds. The court could enforce such a contract if
Answer:
Eve foreseeably, justifiably, and detrimentally relied on a promise by FA
Explanation:
In this situation, the court could enforce such a contract if Eve foreseeably, justifiably, and detrimentally relied on a promise by FA. Meaning that the consequences that occurred were caused by the promise that was made to Eve by Financial Associates, Inc. (FA), which ultimately led to Eve making decisions that she otherwise would not have done if FA never made that promise.
An account related with another account on the financial statements that 1) directly reduces the related account and 2) has an opposite normal balance than the related account, is a(n) Multiple Choice Permanent account Temporary account Contra account.
Answer:
Contra account.
Explanation:
A contra account is an account that has an opposite of what is the normal balance for the class of such an account. a company would be able to report the original amount and in so doing also be able to report the reduction and then what is the net amount would be reported. in other words such an account is used to reduce the value of another related account. And thereafter the net value is what is going to be reported.
You are considering acquiring a common share of Sahali Shopping Center Corporation that you would like to hold for 1 year. You expect to receive both $1.25 in dividends and $35 from the sale of the share at the end of the year. The maximum price you would pay for a share today is __________ if you wanted to earn a 12% return. A. $31.25 B. $32.37 C. $38.47 D. $41.32
Answer:
B. $32.37
Explanation:
The computation of the maximum price for paying the share today is shown below:
Let us assume the buying price be x
Now we applying the following formula
Return = (sale price - buy price + dividend) ÷ (buy price)
12% = ($35 - x + $1.25) ÷ x
0.12 = $36.25 - x
1.12x = $36.25
x = $36.25 ÷ 1.12
= $32.37
Hence, the correct option is B.
The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 6 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. (a) Determine the null and alternative hypotheses that the magazine will test. Upper H 0: mu equals 6 Upper H 1: mu less than 6 (b) Both engines took exactly 11 minutes to seize. What conclusion might the magazine make based on this evidence? A. The infomercial's claim is not true. B. The infomercial's claim is true.
Answer: (a)Null hypothesis: [tex]H_0:\mu=6[/tex]
Alternative hypothesis: [tex]H_a:\mu<6[/tex]
(b) Conclusion: A. The infomercial's claim is not true.
Explanation:
Let [tex]\mu[/tex] be the mean number of hours drove without oil .
(a) Since the woman drove 6 hours without oil because of the engine treatment.
We expect that this is too high to drive without oil
So, the hypothesis in this case would be
Null hypothesis: [tex]H_0:\mu=6[/tex]
Alternative hypothesis: [tex]H_a:\mu<6[/tex]
(b) 11 minutes is much lower than 6 hours.
That means it supports the alternative hypothesis.
Conclusion: A. The infomercial's claim is not true.
(I) Countries with more economic freedom during the past quarter of a century had a lower average per capita GDP.(II) Countries with more economic freedom during the past quarter of a century generally achieved higher rates of economic growth.Question 40 options:
Answer:
I. False
II. True
Explanation:
Economic freedom refers to the human right to own and control private property and decide how your labor should be used. When Economic freedom exists, people are able to contribute freely to the economy in a way that they prefer in a stable environment that supports their ventures.
Evidence has shown that in countries where people have the liberty to engage in business as they see fit, the Economies grew faster and had a higher average GDP per capita than countries that did not.
This is why developed countries (usually have higher economic freedom) are better off than a lot of developing countries where several factors such as corruption hinder economic freedom.
One identical unit is purchased on each of the following three dates and at the respective costs: June 1 at $10 June 2 at $15 July 4 at $20 The company sells two units during the period. Conclude which inventory items are sold first and which unit remains in ending inventory if the company is using the FIFO cost flow assumption.A. The June 1 at 10 is sold; the June 2 at $15 and July 4 at $20 remain in ending inventory.B. The June 1 at 10 and the June 2 at $15 are both sold; the July 4 unit remains in ending inventory.C. The June 2 at $15 and the July 4 at $20 are both sold; the June 1 at $10 remains in ending inventory.
Answer:
B. The June 1 at 10 and the June 2 at $15 are both sold; the July 4 unit remains in ending inventory.
Explanation:
FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold
2 units were sold. the June 1 and June 2 units would be the items sold because they were the first to be purchased according to the dates.
the ending inventory would be the the July 4 unit
Harley-Davidson disciples share a common, deeply held attraction to the brand. Harley appeals include: freedom, independence, power, and authenticity. Harley-Davidson doesn't just sell motorcycles. It sells self-expression, lifestyles, aspirations, and dreams. This illustrates core customer values
Answer: Brand personality
Explanation:
Brand personality is what the customers can easily relate to about a particular brand. To develop and maintain a strong brand, having a brand personality is vital.
From the question, we are informed that Harley appeals include freedom, independence, power, and authenticity and that Harley-Davidson doesn't just sell motorcycles, it sells self-expression, lifestyles, aspirations, and dreams. This illustrates brand personality.
True, its illustrated Core Customer Value.
Core customer values refers to the perception of what a product or service of a company is worth to a customer against the effort of buying such product.
These values are what attracts customers to a product or a firm.Question sometime asked by customer that what do i gain from this product despite being costlier? The Core values the customer got from the product or firm keeps the attraction.In conclusion, the values are displayed effectively by product or firms in other to persuade new customer as well as to attract existing customers.
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Crane Sales Company uses the retail inventory method to value its merchandise inventory. The following information is available for the current year:
Cost Retail
Beginning inventory $ 30,000 $ 45,000
Purchases 190,000 260,000
Freight-in 2,500 —
Net markups — 8,500
Net markdowns — 10,000
Employee discounts — 1,000
Sales revenue — 205,000
If the ending inventory is to be valued at the lower-of-cost-or-market, what is the cost-to-retail ratio?
a) $220,000 ÷ $315,000
b) $222,500 ÷ $305,000
c) $222,500 ÷ $313,500
d) $222,500 ÷ $303,500
Answer:
c) $222,500 $313,500
Explanation:
Calculation for cost-to-retail ratio
COST
Beginning inventory $ 30,000
Add: Purchases $190,000
Add: Freight-in $2,500
Cost=$222,500
RETAIL
Beginning inventory $ 45,000
Add: Purchases $260,000
Add: Net markups $8,500
Retail = $313,500
Therefore the cost-to-retail ratio will be $222,500 $313,500
On April 1, Aloe, Inc. factored $80,000 of its accounts receivable without recourse. The factor retained 10% of the accounts receivable as an allowance for sales returns and charged a 5% commission on the gross amount of the factored receivables. What amount of cash did Aloe receive from the factored receivables
Answer: $68,000
Explanation:
Based on the information that have been provided in the question, the amount of cash that Aloe receive from the factored receivables will be:
= $80,000 - (10% × $80,000) - (5% × $80,000)
= $80000 - $8000 - $4000
= $80,000 - $12,000
= $68,000
ADAP Advisers is offered a large block of ACME stock (a NYSE-listed issue) by an institutional investor at a 20% discount to the current market price, if ADAP Advisers is willing to buy the block that day. Which statement is TRUE if ADAP purchases the block for its own account rather than for its customers
Options :
A. This action is prohibited without exception, since ADAP Advisers is benefiting at the expense of its customers
B. This action is permitted if ADAP Advisers rebates any profit that it earns to its customers when it sells the block
C. This action is permitted if the purchased stock is not a suitable investment for ADAP's customers
D. This action is permitted if the block is purchased in the Third Market during the hours that the NYSE is closed
Answer: C.) This action is permitted if the purchased stock is not a suitable investment for ADAP's customers
Explanation: ADAP being a professional in the aspect of advisory investment, have a legal and ethical responsibility or obligation called fiduciary duties to their clients, both buyers and sellers. Therefore it is always very important to keep this at the forefront of their dealings in other to avoid soiling their reputation and integrity. Therefore, even though the stock offered to ADAP advisers is at substantial discount, ADAP advisers must ensure that the stock is a suitable investment for it's customers before offering it to them.
The fact that ADAP purchased the stick on it's own account may reasonably infer that the stick is not a suitable investment for it's customers.
A disadvantage of couponing is…? radio_button_unchecked Low redemption rates. radio_button_unchecked Reduces consumer’s perceived risk associated with trial of a new brand. radio_button_unchecked Encourages repeat purchase. radio_button_unchecked Helps coax users to trade up to more expensive brands. SUBMIT
Answer:
Correct Answer:
1. Low redemption rates.
Explanation:
Couponing is the situation whereby discount in form of Coupons are offered to customers over a specific product that is on sale. It is similar to product discount other than the fact that, the discount is based on the coupon card.
The disadvantage of offering coupons is that you would be giving a discount to people who would buy your products even without them anyway thereby leading to low redemption rate. This can be costly and also increases the risk of incurring losses.
Answer:
Low redemption rates.
Explanation:
Couponing is a kind of promotion used by businesses in giving discounts to their customers for products purchased. it is done using coupon cards.
Low redemption rate simply means the number of people that make use of the coupon card in purchases as a percentage of number of coupon cards distributed. The implications of low redemption rates as a disadvantage of couponing means lower sales for the business and this could consequently cause losses as this indicates that promotion was not effective. In other words, low sales using coupons increases cost to company lowering profit and maybe causing losses
The beta of Ricci Co.'s stock is 3.2, whereas the risk-free rate of return is 9 percent. If the expected return on the market is 18 percent, then what should investors expect as a return on on Ricci Co.?
Answer:
Investors expect a return of 37.80 %.
Explanation:
The return that investors expect is the cost of equity to Ricci Co.
Cost of Equity = Return on Risk Free Security + Beta × Risk Premium
Where,
Risk Premium = Return on Market Portfolio - Return on Risk Free Security
= 18.00% - 9.00%
= 9.00 %
Cost of Equity = 9.00% + 3.2 × 9.00 %
= 37.80 %
Wilma is one of five equal members of Polar, LLC. This year, Polar generates $5 million in profits. The company reinvests $4 million into the company, leaving $1 million to be divided equally among the members. How are federal income taxes paid o
Answer:
c. Wilma (and each of the members) pays taxes on their $1 million share ($5 million divided by 5) of profits.
Explanation:
Data provided in the questions
Generated profits = $5 million
Reinvested amount into the company = $4 million
Out of which $1 million is to be divided equally
based on the above information, the federal income tax should be paid by 5 members of $1 million each
Hence, the option c is correct
And all other options are wrong
A registered representative reads in that morning's newspaper that "Asian securities markets appear to have finally bottomed out." Based on this information, the registered representative calls each of her customers and says "Now is the time to buy Asia Fund." This action by the registered representative is:
Answer: Is a prohibited practice, since a suitability determination was not made for each client.
Explanation:
One of the major reasons of going into a particular field or specialization in market is if you really wanted and can suit the market you're going into. Emergency entry into the market sometimes can fail, the fact every opportunity opens up doesn't mean you'll jump into it; one thing to consider is; is it suitable for my organization to go after, then get to know the pros and cons, weigh them, then decide.
Suppose a firm has two types of customers but cannot tell which type of buyer the customer is before a purchase is made. If the firm wanted to use quantity discounting, it should charge _____ per unit for any quantity purchased or _____.
Complete Question:
Suppose a firm has two types of customers but cannot tell which type of buyer a customer is before a purchase is made. One group of customers has an inverse demand of P = 100 – 10Q, while another group of customers has an inverse demand curve of P = 110 – 22.5Q. If the firm wanted to use a quantity discount pricing scheme, what prices should it set? Assume that the marginal cost of production is constant at $20.
A) The firm could charge $65 per unit for any quantity purchased or $60 per unit if buying 4 or more units.
B) The firm could charge $50 per unit for any quantity purchased or $40 per unit if buying 8 or more units.
C) The firm could charge $25 per unit for any quantity purchased or $20 per unit if buying 2 or more units.
D) The firm could charge $85 per unit for any quantity purchased or $75 per unit if buying 6 or more units.
Answer:
Option A. The firm could charge $65 per unit for any quantity purchased or $60 per unit if buying 4 or more units.
Explanation:
Group One Customers:
We will find the price and quantity by using the following relationship:
Marginal Revenue = Marginal Cost
But the first step would be to calculate marginal revenue.
Step1: Calculate Marginal Revenue
The price and quantity relation of group one customers is given as under:
P = 100 - 10Q
Now we will use total revenue equation which is given as under:
Revenue = Price * Quantity
Here
Price = 100 - 10Q
By putting this in the above equation, we have:
Revenue = (100 - 10Q) * Q
Revenue = 100Q - 10Q^2
Taking derivative on both sides we have:
Marginal Revenue = 100 - 2*10*Q = 100 - 20Q
Now as we know that:
Marginal Revenue = Marginal Cost
Here
Marginal Revenue = 100 - 20Q
Marginal Cost = $20
By putting values, we have:
$100 - 20Q = $20
$100 - $20 = 20Q
Q = $80 / $20 = 4 Units
Now putting this value in the price equation we have:
Price = $100 - 10*4 = $60
Group Two Customers:
We will find the price and quantity by using the following relationship:
Marginal Revenue = Marginal Cost
But the first step would be to calculate marginal revenue.
Step1: Calculate Marginal Revenue
The price and quantity relation of group one customers is given as under:
P = 110 – 22.5Q
Now we will use total revenue equation which is given as under:
Revenue = Price * Quantity
Here
Price = 110 - 22.5Q
By putting this in the above equation, we have:
Revenue = (110 - 22.5Q) * Q
Revenue = 110Q - 22.5Q^2
Taking derivative on both sides we have:
Marginal Revenue = 110 - 2*22.5*Q
Marginal Revenue = 110 - 45Q
Now as we know that:
Marginal Revenue = Marginal Cost
Here
Marginal Revenue = 110 - 45Q
Marginal Cost = $20
By putting values, we have:
$110 - 45Q = $20
$110 - $20 = 45Q
Q = $90 / $45 = 2 Units
Now putting this value in the price equation we have:
Price = $110 - 22.5*2 = $65
The data extracted from the above two scenario is as under:For Group 1, Price is $60 and Quantity is 4 UnitsFor Group 2, Price is $65 and Quantity is 2 UnitsHence the option A is correct.
Todd is the owner of TodVac, a producer of high performance commercial vacuum cleaners based in Texas. Todd knows that some companies use technology that has been proven over the years to efficiently create components very similar to the components in his vacuums. Unfortunately, Todd has never seen this technology and does not have a clue how it works. How should Todd go about learning how to improve his production with time-tested technology?
Answer:
The internet is good place to learn
Explanation:
From an economic perspective, Todd stands to spend less if he decides to carry out an extensive research on the internet.
Vacuum cleaners are more than ever before been refunished with modern technology.
With simply a tap of a button on Google, Todd can look the various technologies used by or companies that has been proven over the years to efficiently create components very similar to the components in his vacuums.
On January 15, 2021, Bella Vista Company enters into a contract to build custom equipment for ABC Carpet Company. The contract specifies a delivery date of March 1. The equipment was delivered on March 31. The contract requires full payment of $75,000 30 days after delivery. The revenue for this contract should be recorded on
Answer:
31 March 2021
Explanation:
The contract should be recorded on 31 March 2021 because according to the US Generally Accepted Accounting Principles, revenue should be recognize in the book only when service has been rendered to the customer, the selling price of product is fixed and confirmation of service arrangement and amount to be collected.
With regards to the above scenario, since the equipment was not delivered until 31 March, then 31 of March will be recognized.
The occurrence that most likely would have no effect on current year net income is the Group of answer choices sale in current year of an office building contributed by a stockholder in 45 years ago. collection in current year of a dividend from an investment. correction of an error in the financial statements of a prior period discovered subsequent to their issuance. stock purchased 14 years ago deemed worthless in the current year.
Answer:
Correction of an error in the financial statements of a prior period that was discovered before issuance.
Explanation:
A prior period adjustment is the correction of an accounting error that occurred in the past and was recorded on a prior year financial statements which is corrected by adjusting the carrying amount of the impacted assets and liabilities as of the first accounting period reported , with an offset to the beginning retained earning balance in that same period
The retrospective correction of prior period error as described above does not affect the current period figures but only the prior period comparative figures.
The receipt of dividends and interest from abroad as a result of ownership of foreign assets by a country's residents is recorded as what:____________.
Answer:
income-generating assets under the current account of the balance of payment.
Explanation:
In international trade to balance of payments between countries looks at inflow and outflow of funds as a result of trade.
When there is balance of trade deficit the country imports from others. When there is balance of payment surplus the country exports to others.
The fund movement is recorded in various accounts. These are current account, capital account, and financial account.
The current account is used to record funds recieved from goods, services, income, and current transfers.
The receipt of dividends and interest from abroad as a result of ownership of foreign assets by a country's residents is recorded as
income-generating assets under the current account of the balance of payment.
Frame Co. has an 8% note receivable dated June 30, 20X1, in the original amount of $150,000. Payments of $50,000 in principal plus accrued interest are due annually on July 1, 20X2, 20X3, and 20X4. In its June 30, 20X3, balance sheet, what amount should Frame report as a current asset for interest on the note receivable
Answer:
$8,000
Explanation:
Given the following:
Interest rate on notes receivable = 8%
Original principal balance = $150,000
Amount due by July 1 = $50,000
Therefore, in the June 30, 20X4 balance sheet, the original principal balance that has been outstanding will be :
$150,000 - $50000 = $100,000
Therefore, only $100,000 has been outstanding and is due for calculation in the interest on accounts receivable on June 30.
Interest rate * principal balance due at the date
8% * $100,000
0.08 * $100,000
= $8,000
The amount that should Frame report as a current asset for interest on the note receivable is $8,000.
What is note receivable?A note receivable is defined as a written promise to acquire a particular amount of cash from some other party on one date/s. This is addressed as an asset by the bearer of the note.
Computation of notes receivable:
According to the given information,
Notes receivable interest rate = 8%
Original principal Amount = $150,000
Due amount on July 1 = $50,000
Hence, in the balance sheet of the June 30, 20X4, the actual amount of principal balance that has been outstanding is:
[tex]=\text{Original Principal Amount -Due Amount}\\\\=\$150,000 -\$50000\\=\$100,000[/tex]
Therefore, the outstanding amount would be $1,00,000 and is due for calculation in the interest on accounts receivable on June 30.
Now the amount of note receivable is:
[tex]\text{Interest Rate} \times \text{Principal Balance Due at the Date}\\\\8\%\times \$1,00\\\\\$8,000[/tex]
Therefore, note receivable is $8,000.
Learn more about note receivables, refer to:
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The owners of a local deli routinely try to develop new menu items and seek better ways of helping their customers; this is an example of Multiple Choice the production objective. innovation. MBO. efficiency. synergy.
Answer: Innovation
Explanation:
Innovation simply means a creative thought that brings about a new concept, new idea or a better way of doing something.
The owners of a local deli routinely try to develop new menu items and seek better ways of helping their customers is an example of innovation.
Businesses in a country are listed by size: small, medium, and large. Explain why business size is an example of an ordinal-scaled variable.
Answer:
The business-size contain values that may be used as a rank or order of a categorical variable.
Explanation:
Business size is an example of an ordinal scaled variable because it has a value that is used to rank the categorical variables. However, the variable size in the business is used to categorizing the business in small, medium, and large forms. moreover, the ordinal scaled variable exhibits the variables where the order matters but the difference between orders does not matters. That is why business size is an ordinal scaled variable.
There are three key reasons for putting the customer into customer solutions in selling: (1) considerable time and effort is necessary to fully understand a specific customer's requirements; (2) effective customer solutions are based on relationships among sellers and buyers; and (3)
Answer:
Consultative selling is central to providing novel solutions for customers, thereby creating value for them
Explanation:
The customer is not actually buying product in most cases, he is actually buying solution of its problems which means that
Analyzing customer's requirements is to make sales because if we don't know what actually the customer is demanding then we can't satisfy our customer. Effective customer relationship play vital role in making sales.Consultative selling helps in meeting the requirement of the customer, building customer loyalty by recommending them best option. This helps in generating value for both customers and suppliers.The government decides to increase its expenditures by $350. The multiplier in this economy is 4 and the tax rate is 22 percent. The net effect of this expansionary fiscal policy is to: Group of answer choices
Answer:
Increase the budget shortage by $42
Explanation:
The government decides to increase expenditure by $350
The multiplier in the income is 4
The tax rate is 22%
= 22/100
= 0.22
The first step is to calculate the increase in income
= $350×4
= 1,400
The tax revenue which will be derived from the new income can be calculated as follows
= 0.22×1,400
= 308
Therefore, the net effect can be calculated as follows
Net effect= $350-$308
= $42
Hence the net effect of this expansionary fiscal policy is to make an increase in the budget shortage by $42
A properly licensed agent in Illinois, Missouri, and Iowa has a client who moves from Illinois to Michigan on July 1, 2014. On September 1 of that year, the agent sells him 100 shares of a nonexempt security in a nonexempt transaction. On October 1, 2015, the client discovers that the agent's firm never licensed him in Michigan and that the agent is subject to civil liability to the purchaser. The statute of limitations for this sale runs out on
Answer: September 1, 2017
Explanation: The statute of limitation could be explained as a window period within which a civil violation or case may be filed by a plaintiff. Once this window period expires, the defendant may raise a claim against such case with respect that statute of limitation has been violated. In the scenario described above, the offense could be regarded as a professional malpractice with a statute of limitation of two years after the discovery of the incident which in this case is October 1, 2015, hence the statute of limitation of the sale will run out 2 years after October 1, 2015 which is September 1, 2017.
Explain why the following are examples of monopolistic competition.
a) There are a number of fast-food restaurants in town, and they compete fiercely. Some restaurants cook their hamburgers over open flames. Others fry their hamburgers. In addition, some serve broiled fish sandwiches, while others serve fried fish sandwiches. A few serve ice cream cones for dessert, while others offer frozen ice cream pies.
b) There are a vast number of colleges and universities across the country. Each competes for top students. All offer similar courses and programs, but some have better programs in business, while others have stronger programs in the arts and humanities. Still others are academically stronger in the sciences.
Answer: In both situations, several companies are offering similar but not identical products, which means there is an imperfect competition.
Explanation:
In businesses, monopolistic competition occurs if different businesses offer differentiated products. This means that even when products are similar they have unique characteristics that cause one product cannot replace others. This occurs in the two examples presented because features such as different methods to cook hamburgers, or products such as fish sandwiches or ice cones in the first example make each of the restaurants to have differentiated products. This also applies to the second example, as some colleges are better in business, others in arts, others in science, etc.
Moreover, in monopolistic competition, there is imperfect competition because due to the differences in products the product of one business cannot directly compete or replace the products of another. Also, this causes the prices can be increased.
Spencer Co. has a $280 petty cash fund. At the end of the first month the accumulated receipts represent $51 for delivery expenses, $159 for merchandise inventory, and $20 for miscellaneous expenses. The fund has a balance of $50. The journal entry to record the reimbursement of the account includes a:
Answer:
Credit to cash $230
Explanation:
Preparation of the Journal entry for the reimbursement of the account of Spencer Co.
Based on the information given we were told that the company spent the amount of $51 for delivery expenses, the amount of $159 for merchandise inventory, and the amount of $20 for miscellaneous expenses from their petty cash fund at the end of the month, which means that the journal entry to record the reimbursement of the account will be:
Dr Delivery expenses $51
Dr Merchandise inventory $159
Dr Miscellaneous expenses $20
Cr Cash $230
(To record petty cash reimbursement)
When the price of a product is p dollars each, suppose that a manufacturer will supply 2p - 8 units of the product to the market and that consumers will demand to buy 300 - 2p units. At the value of p for which supply equals demand, the market is said to be in equilibrium. Find this value of p.
Answer:
77
Explanation:
The computation of the value of P is shown below:-
As we know that
at Market equilibrium,
Supply = Demand
So, the equation will be
Number of units supplied = Number of units in demand
2p - 8 = 300 - 2p
Now we solve it
2p + 2p = 300 + 8
4p = 308
p = 308 ÷ 4
= 77
Therefore we have solved the above equation to determine the value of the P
an object travels 16 metre in 4 seconds and then another 16 metre in 2second what is the average speed of the object
Answer:
6m/s
Explanation:
Given the information :
an object travels 16 metre in 4 seconds and then another 16 metre in 2second.
what is the average speed of the object?
First portion of travel:
Distance = 16 meters
Time = 4 seconds
Second portion:
Distance = 16 meters
Time = 2 seconds
Speed is calculated as the proportion of distance traveled to the time taken.
Speed = distance / time
First portion :
Speed attained
Distance / time = speed
16 meters / 4 seconds = 4m/s
Second portion:
Speed attained
Distance / time = speed
16 meters / 2 seconds = 8m/s
Average speed :
(first portion + second portion) / 2
(4m/s + 8m/s) / 2
12m/s ÷ 2
= 6m/s
You need to have $30,250 in 17 in years. You can earn an annual interest rate of 4 percent for the first 5 years, 4.6 percent for the next 4 years, and 5.3 percent for the final 8 years. how much do you have to deposit today?
Answer:
The amount that has to be deposited today is $6205.63
Explanation:
The given parameters are;
The annual interest rate for the first 5 years = 4 percent
The annual interest rate for the next 4 years = 4.6 percent
The annual interest rate for the final 8 years = 5.3 percent
Let the amount deposited be X, we have;
X × (1 + 0.04)⁵ + X × (1 + 0.04)⁵×(1.046)⁴ + X × (1 + 0.04)⁵×(1.046)⁴ ×(1.053)⁸ = $30,250
X ((1.04)^5 + (1 + 0.04)^5×(1.046)^4 + (1 + 0.04)^5×(1.046)^4 ×(1.053)^8) = $30,250
X × 4.875 = $30,250
X = $30,250/$4.875 = $6205.63
The amount that has to be deposited today = $6205.63.
