Answer:
148.59
Step-by-step explanation:
Inflation is kind of similar to interest and with that bieng said we can (kind of ) use the same formula
the time between 2034 and 2014 is 2034-2014= 20
100(1.02)²⁰=148.5947396
which we can round to 148.59
148.5 is the cost in 2034 of an item that costs $100 in 2014
What is Simple Interest?Simple interest is a quick and easy method of calculating the interest charge on a loan
[tex]A=P(1+r)^{t}[/tex]
where A is the Actual amount
P is Initial amount
t is time period
r is rate of interest
Given,
The rate of inflation measures the percentage increase in the price of consumer goods
The rate of inflation in the year 2014 was 2% per year.
2% is converted to decimal by dividing with 100
2/100=0.02
The time gap between 2014 and 2034 is
2034-2014=20 years
The initial amount is 100
A=100(1+0.02)²⁰
A=100(1.02)²⁰
A=100×1.485
A=148.5
Hence 148.5 is the cost in 2034 of an item that costs $100 in 2014.
To learn more on Simple interest click:
https://brainly.com/question/25845758
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Weekly demand for a certain brand of a golf ball at The Golf Outlet is normally distributed with a mean of 35 and a standard deviation of 5. The profit per box is $5.00. Write an Excel formula that simulates the weekly profit:
= 5 * 35 * NORMSINV(RAND())
= 5* NORMINV(RAND(), 35, 5)
= 5 * RANDBETWEEN(5, 35)
= NORMINV(RAND(), 5 * 35, 5)
Answer:
= 5 * NORMINV(RAND(), 35, 5)
Step-by-step explanation:
From the given information:
The total weekly profit is achieved by the multiplication of the unit profit (5) and the weekly demand.
Here, the weekly demands obey a normal distribution where the mean = 35 and the standard deviation = 5.
Using the Excel Formula:
The weekly profit can be computed as:
= 5 * NORMINV(RAND(), 35, 5)
Three bags contain 3 red, 7 black; 8 red, 2 black, and 4 red & 6 black balls
respectively. 1 of the bags is selected at random and a ball is drawn from it. If the ball
drawn is red, find the probability that it is drawn from the third bag.
Answer:
[tex]Probability = \frac{4}{15}[/tex]
Step-by-step explanation:
B1 = first bag
B2= second bag
B3 = third bag
Let A = ball drawn is red
Since, there are three bags.
Probability of choosing one bag= P(B1) = P(B2) = P(B3) = 1/3.
From B1: Total balls = 10
3 red + 7 black balls.
Probability of drawing 1 red ball from it , P(A) = 3/10.
From B2: Total balls = 10
8 red + 2 black
Probability of drawing 1 red ball is, P(A) = 8/10
From B3 : Total Balls = 10
4 red + 6 black
Probability of drawing 1 red ball, P(A) = 4/10 .
To find Probability given that the ball drawn is red, that the ball is drawn from the third bag by Bayes' rule.
That is , P(B3|A)
[tex]=\frac{\frac{1}{3} \times \frac{4}{10}} { \frac{1}{3} \times \frac{3}{10} + \frac{1}{3} \times\frac{8}{10} + \frac{1}{3} \times \frac{4}{10}}[/tex]
[tex]=\frac{4}{30} \times \frac{30}{15}\\\\=\frac{4}{15}[/tex]
Therefore, the probability that it is drawn from the third bag is 4/15.
Answer:
4/15
Step-by-step explanation:
Solution of conditional probability problem:
Given:
Bags (3R,7B), (8R,2B), (4R,6B)
Let
P(R,i) = probability of drawing a red AND from bag i
P(R, 1) = 3/10 * (1/3) = 3/30
P(R, 2) = 8/10 * (1/3) = 8/30
P(R, 3) = 4/10 * (1/3) = 4/30
Let
Let P(R) = probability of drawing a red from any bag
P(R) = sum P(R,i) for i = 1 to 3 using the addition rule
= 3/30 + 8/30 + 4/30
= 15/30
= 1 / 2
Conditional Probability of drawing from the third bag GIVEN that it is a red
= P(3 | R)
= P(R, 3) / P(R)
= 4/30 / (1/2)
= 8/30
= 4 / 15
(Since all bags contain 10 balls, by intuition, 4 red from third / 15 total red = 4/15)
The equation and graph show the cost to rent movies from two different companies. The cost is a function of the number of movies rented.The description best compares the two functions?
The equation and graph show the cost to rent movies from two different companies. The cost is a function of the number of movies rented.The description best compares the two functions?
here the pic and pls brainly me hege
Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call center is required to answer 75 calls each day. Assume the call times are independent. What is the expected total amount of time in minutes the operator will spend on the calls each day
Answer:
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n-values of normal variable:
Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is [tex]M = n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]
Calls to a customer service center last on average 2.8 minutes.
This means that [tex]\mu = 2.8[/tex]
75 calls each day.
This means that [tex]n = 75[/tex]
What is the expected total amount of time in minutes the operator will spend on the calls each day
This is M, so:
[tex]M = n\mu = 75*2.8 = 210[/tex]
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Construct a frequency polygon that represents the following data regarding the selling prices of houses sold in 2006 for a particular neighborhood find the midpoint
Class Frequency
78787 – 98786 9
98787 – 118786 8
18787 – 138786 9
138787 – 158786 4
158787 – 178786 8
Answer:
See attachment for polygon
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Class} & {Frequency} & 78787 - 98786 & 9 &98787 - 118786 & 8 & 118787 - 138786 & 9 & 138787 - 158786 & 4 & 158787 - 178786 & 8 \ \end{array}[/tex]
Required
The frequency polygon
First, we calculate the midpoint of each class.
This is the average of the class limits
So, we have:
[tex]x_1 = \frac{78787 + 98786}{2} = \frac{177573}{2} = 88786.5[/tex]
[tex]x_2 = \frac{98787 + 118786}{2} = \frac{217573}{2} = 108786.5[/tex]
----
--
-
[tex]x_5 = \frac{158787 + 178786}{2} = \frac{337573}{2} = 168786.5[/tex]
(138787 + 158786)/2
So, the table becomes:
[tex]\begin{array}{ccc}{Class} & {Frequency} & {x} &78787 - 98786 & 9 & 88786.5 & 98787 - 118786 & 8 & 108786.5 & 118787 - 138786 & 9 & 128786.5 & 138787 - 158786 & 4 & 148787.5 & 158787 - 178786 & 8 & 168786.5\ \end{array}[/tex]
See attachment for frequency polygon
If Clive was charged $3.92 for a minute 38 call, what is Clive's per minute base rate?
Assessment
Cymraeg
Isaac plans a hidden treasure game.
Treasure is hidden under the sand in a tray. The tray for the sand is a cuboid: 0.8 m long,
0.6 m wide and 0.1 m deep. Sand comes in 25 kg bags with an approximate volume of
17,000 cm?
How many bags must Isaac buy to completely fill the tray?
3
Isaac needs to buy
bags of sand.
2
Answer:
So, to fill the tray completely , he needs 3 bags of sand.
Step-by-step explanation:
Tray dimensions,
length = 0.8 m
Width = 0.6 m
height = 0.1 m
Volume of one sand bag = 17000 cm^3
Let the volume of the tray is V.
V = length x idth x height
V = 0.8 x 0.6 x 0.1 = 0.048 m^3
Number of sand bags
[tex]n=\frac{0.048}{17000\times 10^{-6}}\\\\n = 2.82[/tex]
So, to fill the tray completely , he needs 3 bags of sand.
What is the inverse function of y = 2x - 8
Answer:
Step-by-step explanation:
y = 2x-8
2x = y+8
x = 0.5y+4
inverse function: y = 0.5x+4
which elements in the following set are integers -8,3/4,-0.18,0,0.16,5,-2/7,6
Answer:
345
Step-by-step explanation:
a) Write 5^17 x 5^2 as single power of 5
Answer:
When we multiply two number with the same base but different power, the power gets added.
So, the answer is:
5^17*5^2
=5^(17+2)
=5^19
Find the percent of decrease from 46 songs to 41 songs. Round to the nearest tenth of a percent if necessary.
percent of decrease
%
Answer:
10.9 %
Step-by-step explanation:
46 - 41 = 5
5/46 * 100% = 10.8695652174%
Rounded
10.9 %
Explain why the square root of a number is defined to be equal to that number to the 1/2 power
9514 1404 393
Answer:
(x^(1/2))(x^(1/2)) = x^(1/2 +1/2) = x^1 = x
Step-by-step explanation:
The rule of exponents is ...
(x^a)(x^b) = x^(a+b)
From which ...
(x^a)(x^a) = x^(a+a) = x^(2a)
So, if we want two identical factors that have a product of x = x^1, then the exponents of those factors will be such that ...
x^(2a) = x^1
2a = 1
a = 1/2
The square root is defined as one of two identical factors that have a product equal to the specified value. That is ...
(√x)(√x) = x
Above, we have shown that ...
(x^(1/2))(x^(1/2)) = x
so, we can conclude ...
√x = x^(1/2)
_____
Additional comment
In like fashion, we can show that the n-th root of a number is the same as that number to the 1/n power. It's really a matter of definition. Since the square of x^(1/2) is x, we call x^(1/2) the square root. It is used commonly enough that it has its own symbol: √x.
Answer:
Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
Step-by-step explanation:
What translation maps ABC to A'B'C'?
HELP PLEASE MATH PROBLEM
Answer:
x=41
Step-by-step explanation:
LM =JM
154=4x-10
154+10=4x
164=4x
164/4=4x/4
41=x
hope this is helpful
化學製程中溫度的影響 為研究化學製程中溫度對產量之影響，我們在 3 種溫度下各生產 3批產品，結果如下表。請建立 ANOVA 表。在 0.05 顯著水準檢定不同的溫度是否會影響平均產量。
溫度
50℃ 60 ℃ 70℃
產品1 14 20 13
產品2 15 11 18
產品3 12 15 16
Answer:
Step-by-step explanation:
產品 1 14 20 13
產品 2 15 11 18
產品 3 12 15 16
What is the answer plz?
Answer:
[tex]1\frac{9}{12}[/tex]
Step-by-step explanation:
Convert any whole numbers to improper fractions
[tex]\frac{9}{4}-\frac{3}{6}[/tex]
Find the LCM of the denominators and use multiplication to change the denominators to the LCM
[tex]\frac{27}{12}-\frac{6}{12}[/tex]
Subtract
[tex]\frac{21}{12}[/tex]
Simplify
[tex]1\frac{3}{4}[/tex]
[tex]1\frac{9}{12}[/tex] can be simplified to [tex]1\frac{3}{4}[/tex] so the answer is [tex]1\frac{9}{12}[/tex]
pls help, no rush I just get really stressed when I don't know the answer to a problem, pls explain ur reasons :)
9514 1404 393
Answer:
2. correct
3. addition property of equality
4. substitution property of equality
Step-by-step explanation:
You're asked for the Reasons, so you need to examine the Statements to see how you get from one line to the next.
The first line of Statement 2 differs from Statement 3 in that m∠GHI has been added to both sides of the equation (ignoring the typo in statement 3). The reason you can add the same thing to both sides of an equation is given by the Addition Property of Equality.
Statement 3 differs from Statement 4 in that one of the m∠GHI has been replaced by m∠JKL. We can do this replacement because those measures are equal to each other. Replacement of equals by equals is allowed by the Substitution Property of Equality.
Somebody please help me asap
Answer:
sum of angles in a triangle = 180°
180-(90+21)
= 69
pls am I correct
Ivan runs a cake shop. Renting the
shop costs him $1600 per month,
and he makes a profit of $16 on each
cake he sells. Ivan wants a profit of at
least $2000 a month.
Solve for the integer x in the following. 2^x = 16
Is triangle XYZ = ABC ? If so, name the postulate that applies. A. Congruent - ASA B. Congruent - SAS C. Might not be congruent D. Congruent - SSS
The run scored in a cricket match by 11 players is as follows: 7, 16, 121, 51,101, 81, 1, 16, 9, 11, and 16. Find the mean of this data
HELP HELPPP!!!у- 3
|
у+
у- 3
3
What is the common denominator of y+
3
in the complex fraction
5 2
9* Зу
?
Зу(у – 3)
у(у – 3)
Зу
О 3
Answer:
The common denominator of [tex]y + \frac{y-3}{3}[/tex] is 3
Step-by-step explanation:
Given
The complex fraction
Required
The common denominator
To solve this, we need not consider the whole complex fraction.
We only consider
[tex]y + \frac{y-3}{3}[/tex]
Take LCM
[tex]y + \frac{y-3}{3} = \frac{3y - (y-3)}{3}[/tex]
Single out the denominator, i.e. 3
Hence, the common denominator of [tex]y + \frac{y-3}{3}[/tex] is 3
6 Write 89.4945 correct to (a) nearest whole number, [1] (b) two decimal places.
Answer:
a)89
b)89.45
Step-by-step explanation:
PLS HELP! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!
PLS PROVIDE A STEP BY STEP EXPLANATION! ❤️
Exact Surface Area = 378pi
Approximate Surface Area = 1186.92
The approximate surface area uses pi = 3.14
The units are cm^2 or "square cm".
=========================================================
Work Shown:
SA = surface area of cylinder
SA = 2*pi*r^2 + 2*pi*r*h
SA = 2*pi*7^2 + 2*pi*7*20
SA = 2*pi*49 + 2*pi*140
SA = 2*49*pi + 2*140*pi
SA = 98pi + 280pi
SA = 378pi ..... exact surface area
SA = 378*3.14
SA = 1186.92 ..... approximate surface area
----------
Side note: The diameter 14 cuts in half to get the radius r = 7
Answer:
1187.52
Step-by-step explanation:
Use the formula [tex]2\pi rh+2\pi r^{2}[/tex].
r= 7 (half of your diameter, which is 14)
h = 20
Fill in your radius and height.
[tex]2\pi (7)(20)+2\pi (7^{2})[/tex]
Enter your equation into a calculator and you'll get 1187.52202.
When rounded to the nearest hundredths, you get 1187.52
3. A pair of sneakers that costs $60.50 is on sale for 20% off. Find the DISCOUNT. (5 Points) $20 O $12.01 $12.10 $48.40
Answer:
12,10
Step-by-step explanation:
60,50:100x20=12.10
A company reports the following income statement and balance sheet information for the current year:
Net income $216,060
Interest expense 38,130
Average total assets 2,290,000
Determine the return on total assets. If required, round the answer to one decimal place.
Answer:
9.4
Step-by-step explanation:
The net income for theis company is $216,060
The average total assets is 2,290,000
Therefore the return on total assets is
= 216,060/2,290,000
= 0.0943×100
=9.4
Use Pythagorean Theorem to find each missing length
please help with the steps
Answer:
25 is A and 26 is B
Step-by-step explanation:
25) a²+b²=c²
missing side can be=b
to find the missing side subtract 6.7² from 12.6²
b²=12.6²-6.7²
b²=158.76-44.89
the square root of b²= the square root of 113.87
b=10.67
the missing side is equal to 10.7(1d.p)
26) a²+b²=c²
c= hypotenuse
10.8²+11²=c²
116.64+121=c²
c²=237.64
the square root of c²= the square root of 237.64
c=15.42(2d.p)
the hypotenuse is=15.4
The places that I have "the square root of" you must replace it with the square root sign. I'm using my phone so I wasn't sure how to insert a square root sign.
What is the radius for the circle given by the equation x^2+(y-1)^2=12?
Round your answer to the nearest thousandth.
9514 1404 393
Answer:
3.464
Step-by-step explanation:
Comparing the given equation to the standard form equation of a circle:
(x -h)^2 +(y -k)^2 = r^2
we find the center to be (h, k) = (0, 1) and the radius to be √12 = 2√3.
The problem statement tells us to round the radius to the nearest thousandth, so it will be ...
2√3 ≈ 3.4641016 ≈ 3.464 . . . radius of the circle
PLEASEEE HELP ME I WILL MARK YOU JF YOU HELP ME PLEASE
Given:
A figure of a construction.
To find:
The correct option that represent the given construction.
Solution:
We know that, if a transversal line intersect two parallel lines, then the corresponding angles are equal.
In the given figure, two corresponding angles are constructed by using the compass.
Since the corresponding angles are equal, therefore the construction represents the parallel lines through a point.
Therefore, the correct option is B.
