HELP ME IM GONNA CRY PLEASE
A car was purchased for $20,000. The car depreciates by 22% of each year.
a) What is the value of the car when it is 12 years
old?
b) How long will it take for the car to be worth less than $100?

Answers

Answer 1

Hello, a car was purchased for $20,000.

This is the initial value.

The car depreciates by 22% of each year.

After 1 year, the value is the initial value 20,000 minus 22% of 20,000.

[tex]20000-20\%*20000=20000\cdot (1-20\%)=20000\cdot (1-0.20)=20000\cdot 0.8=16000[/tex]

After 2 years, the value is.

[tex]20000\cdot 0.8\cdot 0.8=20000\cdot0.8^2=12800[/tex]

Let's take n a positive integer, after n years, the value is.

[tex]\large \boxed{\sf \bf \ 20000\cdot0.8^n \ }[/tex]

a) After 12 years, the value is.

[tex]20000\cdot0.8^{12}=1374.389...[/tex]

This is rounded to $1,374

b) We need to find n such that

[tex]20000\cdot0.8^n=100\\\\ln(20000)+nln(0.8)=ln(100)\\\\n=\dfrac{ln(100)-ln(20000)}{ln(0.8)}=23.74...[/tex]

This is around 23.75 meaning 23 years and 75% of 1 year (meaning 9 months).

So to be worth less than $100, 23 years and 9 months are required.

Thank you


Related Questions

Solve for x.

13(x-3) = 39

x=1
x=4
x=6
x= 10

Answers

Answer:

x=6

Step-by-step explanation:

13(x-3) = 39

Divide each side by 13

13/13(x-3) = 39/13

x-3 = 3

Add 3 to each side

x-3+3 = 3+3

x = 6

Answer:

x=6 ,is right.

6-3=3&multiply 13=39

so answer is x=6

mark brainleast plz

-56 divided by -8 find the quotient

Answers

Answer:

7

Step-by-step explanation:

We can see that we have a negative number divided by a negative number, so the negatives cancel each other out.

[tex]56\div8[/tex]

We know that 8 will go into 56 7 times, so [tex]-56\div-8=7[/tex].

Hope this helped!

Answer:

7

Step-by-step explanation:

choose the function where the graph is given below

Answers

Answer:

B

Step-by-step explanation:

You could've graphed your choices and find which one is a perfect match.

Forgot how to do this please help, thank you.

3m + 2x=-3, solve for x

Answers

Answer:

[tex]\boxed{x =\frac{-3m-3}{2}}[/tex]

Step-by-step explanation:

[tex]3m + 2x=-3[/tex]

[tex]\sf Subtract \ 3m \ from \ both \ sides.[/tex]

[tex]3m + 2x-3m=-3-3m[/tex]

[tex]2x=-3-3m[/tex]

[tex]\sf Divide \ both \ sides \ by \ 2.[/tex]

[tex]\displaystyle \frac{2x}{2} =\frac{-3-3m}{2}[/tex]

[tex]\displaystyle x =\frac{-3m-3}{2}[/tex]

Answer:

x=\frac{-3-3m}{2}

Step-by-step explanation:

1st step: Subtract 3m from both sides. 3m+2x-3m=-3-3m

2nd step: Simplify. 2x=-3-3m

3rd step: Divide both sides by 2. \frac{2x}{2}=-\frac{3}{2}-\frac{3m}{2}

Final step: Simplify. x=\frac{-3-3m}{2}

To test the belief that sons are taller than their​ fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their​ fathers? Use the alphaequals0.10 level of significance.​ Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
Height of Father Height of Son
72.4 77.5
70.6 74.1
73.1 75.6
69.9 71.7
69.4 70.5
69.4 69.9
68.1 68.2
68.9 68.2
70.5 69.3
69.4 67.7
69.5 67
67.2 63.7
70.4 65.5
Which conditions must be met by the sample for this​ test? Select all that apply.
A. The sample size is no more than​ 5% of the population size.
B. The differences are normally distributed or the sample size is large.
C. The sample size must be large.
D. The sampling method results in a dependent sample.
E. The sampling method results in an independent sample.
Write the hypotheses for the test. Upper
H 0 ​:
H 1 ​:
Calculate the test statistic. t 0=? ​
(Round to two decimal places as​ needed.)
Calculate the​ P-value. ​P-value=?
​(Round to three decimal places as​ needed.) Should the null hypothesis be​ rejected?
▼ Do not reject or Reject Upper H 0 because the​ P-value is ▼ less than or greater than the level of significance. There ▼ is or is not sufficient evidence to conclude that sons ▼ are the same height or are shorter than or are taller than or are not the same height as their fathers at the 0.10 level of significance. Click to select your answer(s).

Answers

Answer:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  [tex]\bar x_1[/tex] =  [tex]\bar x_2[/tex]

The alternative hypothesis Hₐ: [tex]\bar x_1[/tex] <  [tex]\bar x_2[/tex]

Test statistic, t = -0.00693

p- value = 0.498

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 level of significance

Step-by-step explanation:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  [tex]\bar x_1[/tex] =  [tex]\bar x_2[/tex]

The alternative hypothesis Hₐ: [tex]\bar x_1[/tex] <  [tex]\bar x_2[/tex]

The test statistic for t test is;

[tex]t=\dfrac{(\bar{x}_1-\bar{x}_2)}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

The mean

Height of Father, h₁,  Height of Son h₂

72.4,      77.5

70.6,      74.1

73.1,       75.6

69.9,      71.7

69.4,      70.5

69.4,      69.9

68.1,       68.2

68.9,      68.2

70.5,       69.3

69.4,       67.7

69.5,       67

67.2,       63.7

70.4,       65.5

[tex]\bar x_1[/tex]  = 69.6      

s₁ = 1.58

[tex]\bar x_2[/tex] = 69.9

s₂ = 3.97

n₁ = 13

n₂ = 13

[tex]t=\dfrac{(69.908-69.915)}{\sqrt{\dfrac{3.97^{2}}{13}-\dfrac{1.58^{2} }{13}}}[/tex]

(We reversed the values in the square root of the denominator therefore, the sign reversal)

t = -0.00693

p- value = 0.498 by graphing calculator function

P-value > α Therefore, we do not reject the null hypothesis

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 lvel of significance

A table costs Rs 720 to make. He sells it for Rs 920. What percentage of profit did he earn?

Answers

Answer:

27 7/9%

Step-by-step explanation:

Take the selling price and subtract the cost

920 -720 = 200

Divide it by the cost

200/720

.27777777

Change to percent form

27.777777%

27 7/9%

Answer:

profit percentage = 27.8 %

Step-by-step explanation:

To find the percentage of profit we use the formula

[tex] \frac{profit}{cost \: \: price \: } \times 100[/tex]

Subtract the cost price from the selling price to obtain the profit

Cost price = Rs 720

Selling price = Rs 920

Profit = Rs 920 - Rs 720 = Rs 200

So the profit percentage is

[tex] \frac{200}{720} \times 100[/tex]

We have the final answer as

profit percentage = 27.8 %

Hope this helps you

kelly used 2.1 x 10^6 KB of data so far this month. her younger brother joseph used 7 x 10^5 KB of the data so far this month if their share family plan allows them to use 3,000,000 KB of the data each month, how much data usage o they have available for the remainder of this month?

Answers

Answer:

They will 200,000 kb left

Step-by-step explanation:

  2.1 x 10^6=2,100,000     7 x 10^5=700,000

List the following elements in proper set notation. Place the elements in numerical order within the set. 0, 1, 123, 4, 34

Answers

Answer:

{0, 1, 4, 34, 123}

Step-by-step explanation:

{0, 1, 4, 34, 123}

PLEASE ANSWER QUICKLY ASAP
ANSWER QUESTION A​

Answers

Answer:

2934.46692

Step-by-step explanation:

if you need to round it,

hundrenths: 2,934.47

tenths: 2,934.5

Thousandths: 2,934.467

Hope this helps!

Evaluate f(x) = 2|x – 5| for f(–5) and f(0).

Question 20 options:

f(–5) = –20, f(0) = –2

f(–5) = 20, f(0) = 10

f(–5) = 10, f(0) = 0

f(–5) = 12, f(0) = 5

Answers

Answer:

[tex]\Large \boxed{\mathrm{f(-5) = 20, \ f(0) = 10}}[/tex]

Step-by-step explanation:

The function is given:

f(x) = 2|x - 5|

Solve for f(-5).

x = -5

f(-5) = 2|-5 - 5|

f(-5) = 2|-10|

f(-5) = 2(10) = 20

Solve for f(0).

x = 0

f(-5) = 2|0 - 5|

f(-5) = 2|-5|

f(-5) = 2(5) = 10

A plant is given plant food that contains 54 milligrams of magnesium. The plant is given this food each week for 20 weeks. How many grams of magnesium does the plant receive in 20 weeks? Enter your answer as a whole number or decimal in the box. G

Answers

The total amount of magnesium, in grams, that the plant gets is 1.08 g

How many grams of magnesium does the plant receive in 20 weeks?

We know that a plant gets 54 milligrams of magnesium each week for a total of 20 weeks.

Then the total amount that the plant gets, in milligrams, is:

T = 20*54 mg

T = 1,080 mg

And we want to find the total amount in grams, we know that:

1000mg = 1g

Then we can do a change of units to get:

T = (1,080/1000)g

T = 1.08 grams

That is the total amount.

Learn more about changes of units:

https://brainly.com/question/141163

#SPJ1

If r = 8 units and h = 5 units, what is the volume of the cylinder shown above? Use 3.14 for . A. 1,607.68 cubic units B. 653.12 cubic units C. 1,004.8 cubic units D. 452.16 cubic units

Answers

Answer:

C. 1,004.8 cubic units

Step-by-step explanation:

[tex]V = ?\\r = 8\\h =5 \\\pi = 3.14\\\\V = \pi r^2 h\\\\V = 3.14 \times 8^2 \times 5\\V = 1004.8 cubic units[/tex]

Answer:

C. 1004.8  cubic units

Step-by-step explanation:

Lets analyze the problem given, we have to find the volume of cylinder and use 3.14 as pi.

We can use the formula V=(3.14)r^2h to find the volume of the cylinder.

Below is the work to solve the formula:

8^2= 64

64(5)=320

320(3.14)=

1004.8  cubic units is our answer.

PLEASE help me with this question. This is really URGENT

Answers

Changing the exponent by 1/2 ( going from x to 1/2x)

This does not change the y-intercept.

It does sharpen the curve, which means the y value does not increase as quickly when x is increased.

THe 3rd choice is correct.

Proof: make x=2

Y = 3^2 = 9

Y = 3^1/2(2) = 3^1 = 3

You can see y is smaller with the 1/2 included.

Find the value of |5| - 4(32 - 2).

Answers

Answer:

115

Step-by-step explanation:

5 - 4(30)

5 - 120

115

Answer:

-115

Step-by-step explanation:

Since anything in between those two lines (absolute value) always comes out positive and the five inside there is already positive, we don't need to worry about it.

First let's look at what's inside the parenthesis.

5 - 4(32 - 2)

= 5 - 4(30)

Next, we'd multiply. (I'm going by PEMDAS)

5 - 120

Now that we've done that we just need to subtract. Generally, 120-5=115, so, we just need to make it negative.

Hope this helps!! <3 :)

3. a. Simplify (2x + y) (x-7)
b. Find the truth set of 2x-3 +3 = -1

Answers

Answer: b. X=-1/2

Step-by-step explanation:

2x-3+3=-1-3 and +3 cancel each other

2x=-1 both sides divided by 2

X=-1/2

what are the next 3 terms in the sequence? 0.8,1,1.2,1.4,1.6....​

Answers

Answer:

The next three terms are 1.8, 2.0, and 2.2.

Step-by-step explanation: We can subtract a number of the sequence minus the number right before that number. For example, 1-0.8=0.2 and 1.4-1.2=0.2. So, we have to add 0.2 from 1.6 to find the next term which is 1.8, then add 1.8+0.2 to get 2 as the number after that, then add 2+0.2=2.2 to get the final number. Som your answer is 1.8,2.0,2.2. Hope this helped.

1.8 2.0 2.2 is the next 3 terms in the sequence

find whether the following mathematical sentence are constant or variable . 'm' represent the whole numbers between 5 and 7​

Answers

Answer:

Constant

Step-by-step explanation:

Whole numbers are numbers like 1,2,3 and 4.

1.1,2.3 and Pi arent't whole numbers. Fractions like 3/4 and 5/3 aren't whole numbers.

The whole numbers starting from 5 to 7 are:

● 5, 6 and 7

You can see that we have only one whole number between 5 and 7 wich is 6.

So m has only one value (m=6).

=> m is a constant

if an equation is an identity how many solutions does it have?

Answers

Answer:

infinite solutions

Step-by-step explanation:

If we have and identity such as

3=3

Then we have infinite solutions since the identity is always true

Joan weighs 10 pounds less than her older sister. The average of the two sisters’ weights is 85 pounds. How much does Joan’s older sister weigh?

Answers

Answer:

Joan's older sister weighs 90 pounds

Step-by-step explanation:

x = older sister

x - 10 = Joan

(x + (x-10))/2 = 85

2x - 10 = 170

2x = 180

x = 90

Answer:

90 pounds

Step-by-step explanation:

We can set up an equation to find their weights.

Let's start by naming Joan's weight x.

Her sister's weight would then be x+10, since Joan weighs 10 pounds less.

To find the average between 2 numbers, you need to add them together, then divide by 2.

So we can set up the following equation:

(x+x+10)/2=85

Now let's isolate x.

We can first multiply both sides by 2.

x+x+10=170

Combine like terms.

2x+10=170

Subtract 10 from both sides.

2x=160

Subtract both sides by 2.

x=80

Joan weighs 80 pounds.

x+10 is her sister's weight.

80+10=90

Joan's older sister weighs 90 pounds.

Find the value of x in each case:

Answers

Answer:

x=36

Step-by-step explanation:

180-x=180-2x +180-4x

180-x = 360 -6x

5x =180

36 = x

Will Give Brainliest, Answer ASAP m∠O =
m∠N =

Answers

Answer:

∠ O = 61°, ∠ N = 119°

Step-by-step explanation:

In a parallelogram

Consecutive angles are supplementary

Opposite angles are congruent, thus

x + 2x - 3 = 180

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61°

Thus

∠ O = ∠ M = x = 61°

∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°

If it takes B hours to walk a certain distance at the rate of 3 miles per hour, the number of hours it takes to return the same distance at 4 miles per hour is...? Will mark brainlist

Answers

Answer:

It will take 0.75B hours for the return leg

Step-by-step explanation:

Here, given that the first leg of the trip was for B hours at 3 miles per hour , we want to calculate the number of hours the return leg will take at 4 miles per hour given that it is the same distance.

Mathematically, we know that ;

Distance = speed * time

So the distance taken on the first leg of the trip would be;

Distance = 3 miles per hour * B hours = 3B miles

Now, this distance was traveled on the return leg also.

This means that the time taken here will be;

Time on return leg = distance/speed = 3B/4 = 0.75B hours

PLEASE HELP ME REALLY QUICK!

Answers

Answer:

90 degrees

Step-by-step explanation:

Add them together. 58+32=90

90 degrees

add them togather

What’s is the greatest common factor of 100x^2 - 250xy + 75x

Answers

Answer:

The greatest common factor of the expression is 25x

Step-by-step explanation:

Here, we are interested in giving the greatest common factor of the expression.

We can do this by factorization till we have no common factors left.

the expression is;

100x^2 -250xy + 75x

we start with the common factor x;

x(100x -250y + 75)

The next thing to do here is to find the greatest common factor of 100,250 and 75.

The greatest common factor here is 25.

Thus, we have;

25x(4x -10y + 3)

There is no more factor to get from the terms in the bracket. This simply means that the terms in the bracket are no longer factorizable

So the greatest common factor we have is 25x

Reduce 5/15 to its lowest terms

Answers

Answer:

The answer is 1/3

Answer:

1/3

Step-by-step explanation:

The factors of 5 are 1,5;

* The factors of 15 are 1,3,5,15.

We can see that the GCD is 5 because it is the largest number by which 5 y 15 can be divided without leaving any residue.

To reduce this fraction, simply divide the numerator and denominator by 5 (the GCF).

So, 5 /15

= 5÷5 /15÷5

= 1 /3

PLEASE help me with this question. This is really URGENT

Answers

Answer:

[tex]\boxed{ \sf Option \ 4}[/tex]

Step-by-step explanation:

The domain is all possible values for x.

There are no restrictions on x. The domain is all real numbers.

The range are all possible values of F(x) or y.

[tex]F(x)=5^{3(3)}= 1953125[/tex]

[tex]F(x)=5^{3(0)}= 1[/tex]

[tex]F(x)=5^{3(-2)}= 0.000064[/tex]

When the value of x increases, the value of F(x) increases until infinity. When the value of x decreases, the value of F(x) gets closer to 0 but does not equal to 0.

The range is [tex]y>0[/tex]

The coefficient of 3 does not affect the domain and range, as there are no real restrictions.

which of the following graphs dont belong and why?​

Answers

Answer:

Upper Right

Step-by-step explanation:

All of them have different dips, therefore the one facing in a different direction must be the odd one out.

Answer:

top right graph

Step-by-step explanation:

3 of the 4 graphs start at negative infinity for negative x, and approach infinity as x approaches infinity.

The top right graph starts at infinity for negative x and approaches negative infinity as x approaches infinity.

Answer: top right graph

PLEASE help me with this question! No nonsense answers please. This is really urgent.

Answers

Answer:

A) 15.6 ft²

Step-by-step explanation:

Area of the circle

A=[tex]\pi[/tex]r²

A=[tex]\pi[/tex](5.7)²

A=102.07

Area of the segment

102.07*55/360

15.594

A history professor decides to give a 12-question true-false quiz. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 0.10. What score should be set as the lowest passing grade? Group of answer choices

Answers

Answer:

we can set the 9 as a benchmark to be the score for the passing grade so that probability of passing a student who guesses every question is less than 0.10

Step-by-step explanation:

From the given information;

Sample  size n = 12

the probability of passing a student who guesses on every question is less than 0.10

In a alternative - response question (true/false) question, the probability of answering  a question correctly  = 1/2 = 0.5

Let X be the random variable that is represent number of correct answers out of 12.

The X [tex]\sim[/tex] BInomial (12, 0.5)

The probability mass function :

[tex]P(X = k) = \dfrac{n!}{k!(n-k)!} \times p^k\times (1-p)^{n-k}[/tex]

[tex]P(X = 12) = \dfrac{12!}{12!(12-12)!} \times 0.5^{12}\times (1-0.5)^{12-12}[/tex]

P(X = 12) = 2.44 × 10⁻⁴

[tex]P(X = 11) = \dfrac{12!}{11!(12-11)!} \times 0.5^{11}\times (1-0.5)^{12-11}[/tex]

P(X =11 ) = 0.00293

[tex]P(X = 10) = \dfrac{12!}{10!(12-10)!} \times 0.5^{10}\times (1-0.5)^{12-10}[/tex]

P(X = 10) = 0.01611

[tex]P(X = 9) = \dfrac{12!}{9!(12-9)!} \times 0.5^{19}\times (1-0.5)^{12-9}[/tex]

P(X = 9) = 0.0537

[tex]P(X = 8) = \dfrac{12!}{8!(12-8)!} \times 0.5^{8}\times (1-0.5)^{12-8}[/tex]

P(X = 8)  = 0.12085

[tex]P(X = 7) = \dfrac{12!}{7!(12-7)!} \times 0.5^{7}\times (1-0.5)^{12-7}[/tex]

P(X = 7) = 0.19335

.........

We can see that,a t P(X = 9) , the probability is 0.0537 which less than 0.10 but starting from P(X = 8) downwards the probability is more than 0.01

As such, we can set the 9 as a benchmark to be the score for the passing grade so that probability of passing a student who guesses every question is less than 0.10

Can anyone tell me the answer of the question attached below??

Answers

Answer:  AE = 5

Step-by-step explanation:

I sketched the triangle based on the information provided.

since ∠A = 90° and is divided into three equal angles, then ∠BAD, ∠DAE, and ∠CAE = 30°

Since AB = 5 and BC = 10, then ΔCAB is a 30°-60°-90° triangle which implies that ∠B = 60° and ∠C = 30°

Using the Triangle Sum Theorem, we can conclude that ∠ADB = 90°, ∠ADE = 90°, ∠ AED = 60°, AND ∠ AEC = 120°

We can see that ΔAEC is an isosceles triangle. Draw a perpendicular to divide it into two congruent right triangles. Label the intersection as Z. ΔAEZ and ΔCEZ are 30°-60°-90° triangles.

Using the 30°-60°-90° rules for ΔABC we can calculate that AC = 5√3.

Since we divided ΔAEC into two congruent triangles, then AZ = [tex]\dfrac{5\sqrt 3}{2}[/tex]

Now use the 30°-60°-90° rules to calculate AE = 5

Other Questions
Consider this animal cell. The organelles in an animal cell are labeled. Part E represents small dots on the nucleolus. What is the function of the small, dark organelles labeled E? They contain enzymes for the digestion of old cell parts. They regulate what enters and leaves the cell. They produce proteins for the cell. They store water and other materials. which of the following is a scientific question about the cuttlefish? In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with appropriate sign (>, Fill in the blank in the following sentence with the appropriate verb in thefuture tenseDespus de la pelcula, mis padresa buscarme al cine.O A. vendianO B. vendraO c. vendrnO D. vendrian stagg high school has a rectangular swiming pool the area of the water in the pool is 1,800 meters squared the length is twice the width what is the perimeter of the pool find the length and width. SHOW WORK [The following information applies to the questions displayed below.] Allied Merchandisers was organized on May 1. Macy Co. is a major customer (buyer) of Allied (seller) products. May 3 Allied made its first and only purchase of inventory for the period on May 3 for 2,000 units at a price of $10 cash per unit (for a total cost of $20,000). 5 Allied sold 1,500 of the units in inventory for $14 per unit (invoice total: $21,000) to Macy Co. under credit terms 2/10, n/60. The goods cost Allied $15,000. 7 Macy returns 125 units because they did not fit the customers needs (invoice amount: $1,750). Allied restores the units, which cost $1,250, to its inventory. 8 Macy discovers that 200 units are scuffed but are still of use and, therefore, keeps the units. Allied sends Macy a credit memorandum for $300 toward the original invoice amount to compensate for the damage. 15 Allied receives payment from Macy for the amount owed on the May 5 purchase; payment is net of returns, allowances, and any cash discount. Prepare journal entries to record the following transactions for Allied assuming it uses a perpetual inventory system and the gross method. (Allied estimates returns using an adjusting entry at each year-end.) Ughhh this is hard for me! Which of the following statements is true according to the measurements in the diagram? Image not set to scale. Part A Which inference can be made about the author's experience at the Lincoln School in Barrio Boy? The author's classmates are disrespectful of his Mexican heritage, which causes him to feel alienated from them and his instructors. The Lincoln School educators are respectful of his heritage while helping him learn how to integrate into his new life in the United States. The Lincoln School is a domineering place where educators want to force the students to renounce their heritage and adopt the American way of life. The teachers and classmates are barriers to learning English and integrating into American life. piz help me!!!![tex]look \: at \: pic \: piz[/tex] What is Swifts primary narrative goal in Part IV? A. to persuade B. to educate C. to engage D. to inform The underlined words and phrases have strong negative, Tatian. How do they support the authors purpose? Children of the drug wars You observe a portfolio for five years and determine that its average return is 11.3% and the standard deviation of its returns in 19.7%. Would a 30% loss next year be outside the 95% confidence interval for this portfolio? How Do We Participate in a World Community? A random sample of size results in a sample mean of and a sample standard deviation of . An independent sample of size results in a sample mean of and sample standard deviation of . Does this constitute sufficient evidence to conclude that the population means differ at the level of significance? What items should a teacher buy first for the classroom? A single-threaded power screw is 35 mm in diameter with a pitch of 5 mm. A vertical load on the screw reaches a maximum of 5 kN. The coefficients of friction are 006 for the collar and 009 for the threads, while the frictional diameter of the collar is 45 mm. Find the overall efficiency and the torque to raise and lower the load for Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. Find the smallest integer. Jensen performed legal services to assist Balm Co. in accomplishing its initial organization. Jensen accepted 1,000 shares of $5 par common stock in Balm as payment for his services. The Balm shares were not yet publicly traded, but they had a book value of $4 per share. Jensen provided 48 hours of service, which is normally billed at $125 per hour. By what amount should the common stock account increase? A 120-V rms voltage at 60.0 Hz is applied across an inductor, a capacitor, and a resistor in series. If the peak current in this circuit is 0.8484 A, what is the impedance of this circuit?A) 200 B) 141 C) 20.4 D) 120 E) 100