Answer:Soo really I could give a fucif u believe me or not but the answer is d
Step-by-step explanation:
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Using the interest formulas, it is found that the values of the investment are given as follows:
- Using simple interest, the value will be of $34,000.
- Using compound interest, the value will be of $144,461.
- Using continuous compounding, the value will be of $148,002.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:

In which:
- r is the interest rate, as a decimal.
In this problem, we have that the parameters are as follows:
P = 9000, r = 0.07, t = 40.
Hence:

<h3>Compound interest</h3>

n is the number of compounding, for quarterly n = 4, then:


<h3>Continuous compounding</h3>

Hence:

More can be learned about the interest formulas at brainly.com/question/25296782
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Answer:
The value of test statistic is -4.1247
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $3.26 a gallon
Sample mean,
= $3.19 a gallon
Sample size, n = 32
Sample standard deviation, σ = $0.096
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Thus, the value of test statistic is -4.1247
Answer:
μ= 65 inches; σ= 0.625 inch
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:

By the central limit theorem, the sample of 16 will have:

So the correct answer is:
μ= 65 inches; σ= 0.625 inch