$250, 2.85%, 3 years

What is the mean absolute deviation of the data set? Round to the nearest hundredth if necessary.

hammer [34]

The mean absolute deviation, rounded to the nearest hundredth, is: 11.67 calories.

<h3>How to Find the Mean Absolute Deviation?</h3>

To find the mean absolute deviation, find the mean of the data then find the average distance of each data point from the mean.

Given the data, 61, 42, 52, 27, 35, 23:

Mean = (61 + 42 + 52 + 27 + 35 + 23)/6

Mean = 240/6

Mean = 40

Mean absolute deviation = [(61 - 40) + ( 42 - 40) + ( 52 - 40) + ( 27 - 40) + ( 35 - 40) + ( 23 - 40) 6 = (21) + (2) + (12) + (13) + (5) + (17)] / 6 = 70/6

Mean Absolute Deviation = 11.67 calories.

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6 0

2 years ago

Use the compound interest formulas A=P1+

Bingel [31]

The accumulated value of an investment if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is $30731.4 $ , $30785.98 $30823.14 , 30841.95

<h3>What is Interest ?</h3>

Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.

It is given that

Principal = $ 25000

Time = 3 years

Interest Rate = 7 %

The amount is given by

$\rm A = P( 1+ \dfrac{r}{n}) ^{nt}$

Compounded semiannually

n = 2

Compounded Quarterly

n = 4

Compounded Monthly

n =12

Compounded Continuously

P = P₀ $\rm e ^{rt}$

Therefore the accumulated value for

compounded Semiannually is

$\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}$

A = $30731.4

Compounded Quarterly

$\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}$

A = $30785.98

Compounded Monthly

$\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}$

A = $30823.14

Compounded Continuously

$\rm P = 25000 e ^{ 7 * 3 }$

P = $30841.95

Therefore the accumulated value of an investment if the money is

a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is

$30731.4 $ , $30785.98 $30823.14 , 30841.95

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5 0

2 years ago

A surveyor has poles A, B, and C set to form a right triangle with the right angle at B. If the distance from A to B is 35 meter

tia_tia [17]

A^2+b^2=c^2
35^2+25^2=25^2
So the answer is 25

6 0

3 years ago

Suppose the value of a car depreciates 8% every year. To the nearest dollar, what will a car that cost $23,995 be worth after 5

Vanyuwa [196]

Answer:

<em>The car will worth $15815 after 5 years.</em>

Step-by-step explanation:

The formula is: $A=P(1+r)^t$ , where P = Initial cost, A = Final cost, r = Rate of change in cost per year and t = Number of years.

Here, $P= 23995, t= 5$

and $r= 8\%=0.08$

As here the <u>value of the car depreciates every year, so we need to plug the value of $r$ as negative</u>. So, $r=-0.08$

Now plugging the above values into the formula, we will get.....

$A=23995(1-0.08)^5\\ \\ A=23995(0.92)^5\\ \\ A=15814.6611... \approx 15815$

<em>(Rounded to the nearest dollar)</em>

So, the car will worth $15815 after 5 years.

8 0

3 years ago

So what's the answer for 35% of 22

kondor19780726 [428]

You divide 22 by 10 (2.2) and then multiply that by 3 to get 30%, which is 6.6. Then, you divide 2.2 by 2 to get 1.1, which is 5%. After this you just add them up to get the answer as 7.7.
Also, if you have q calculator, you can do it the short way and do 22 × 0.35 = 7.7

8 0

3 years ago

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