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dlinn [17]
3 years ago
10

The value of a new car purchased for $24,950 decreases each year by 12%. How much will the car be worth in 7 years?

Mathematics
1 answer:
arsen [322]3 years ago
5 0
Answers:
After 7 years the car is worth $10,196(,46)

Explanation:
Year 1: $24,950•0,88=21,956
Year 2: $21,956•0,88=19,321(,28)
Year 3: $19,321(,28) •0,88=17,002(,73)
Year 4: $17,002(,73) •0,88=14,962(,40)
Year 5: $14,962(,40) •0,88=13,166(,91)
Year 6: $13,166(,91) •0,88=11,586(,88)
Year 7: $11,586(,88) •0,88=10,196(,46)
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After heating a fixed volume of gas at 50 psia from 300° R to 600°R, its pressure will be:
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Applying,

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P/T = P'/T'................. Equation 1

Where P = initial pressure, P' = Final pressure, T = initial temperature, P' = Final temperature.

make P' the subject of the equation

P' = PT'/T............ Equation 2

From the question,

Given: P = 50 psia, T = 300°R = (300×5/9)K = 166.66 K, T' = 600°R = (600×5/9)K = 333.33 K

Substitute these values into equation 2

P' = (50×333.33)/166.66

P' ≈ 100 psia

P ≈ 100 psia

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As described in z-distribution the answers are given below:

a) The 95% confidence interval estimate for the population mean spending by a customer on visiting salon per month is given as follows: (747, 853).

b) The sampling error at 95% confidence level is of: $35.78.

What is a z-distribution ?

The normal distribution with a mean of 0 and a standard deviation of 1 is referred to as the standard normal distribution (also known as the Z distribution) (the green curves in the plots to the right). It is frequently referred to as the bell curve since the probability density graph resembles a bell.

solution:

The bounds of the confidence interval are given as follows:

In which:

is the sample mean.

z is the critical value.

n is the sample size. is the standard deviation for the population.

The parameters for this problem are given as follows:

Hence the lower bound of the interval is of:

800 - 200 x 1.96/square root of 55  = 747.

The upper bound of the interval is of:

800 + 200 x 1.96/square root of 55  = 853.

The sampling error for a sample size of 120 is calculated as follows:

200 x 1.96/square root of 120 = $35.78.

To learn more about the z-distribution from the given link

brainly.com/question/4079902

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