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maw [93]
3 years ago
5

Manny bought a brand new car for $29,750. The car depreciates in value by 12% each year. Find the value of the car after 6 years

. Round your final answer to the nearest hundredth.
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
6 0

Answer: $13,846.02

Step-by-step explanation:

The car cost $29,750 when it was first bought.

It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.

To find the value of the car in the 6th year, you can use the compound interest formula:

= Value of car * ( 1 - rate) ^ no. of years

= 29,750 * ( 1 - 12%)⁶

= ‭13,816.021581824‬

= $13,846.02

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8. Find the equation of the line through the origin and point (3,4) Slope = Equation=​
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y=1\frac{1}{3} x

Step-by-step explanation:

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You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence
Alla [95]

Answer:

122 \leq \mu \leq 138

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % where by a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=25-1=24  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.06  

Now we have everything in order to replace into formula (1), for this case we got:

122 \leq \mu \leq 138

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

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