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2 years ago

describe how to find the price of a blender 3 years from now the inflation is constant at 4% and the the blender costs 38$ today

1 answer:

5 0

FV = PV / (1 +r)^n

Where FV = Future Value, PV = Present Value, r = inflation rate in %,
n = number of years.

PV = $38, r = 4%, n = 3 years.

FV =    38 / (1 + 4%)^3

= 38 / (1 + 0.04)^3

= 38 / (1.04)^3 =    33.782

Hence the value 3 years from now = $33.78

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Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.

Finger [1]

Answer:

step 3

Step-by-step explanation:

he should have subtracted 9 to the outside.

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so your final form must be -7(x-3)^2 + 8

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1 year ago

There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro

elena55 [62]

Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that $\mu = 20.1, \sigma = 5.1$ .

You scored 24 on Exam A. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{24 - 20.1}{5.1}$

$Z = 0.76$

The composite score on Exam B is approximately normally distributed with mean 1031 and standard deviation 215.

This means that $\mu = 1031, \sigma = 215$ .

You scored 1167 on Exam B, s:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1167 - 1031}{215}$

$Z = 0.632$

You had a better Z-score on exam A, so you did better on that exam.

The correct answer is:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

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3 years ago

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Yuliya22 [10]

Answer:

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