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jeyben [28]
2 years ago
13

Mary Stahley invested $2500 in a 36-month certifi- cate of deposit (CD) that earned 8.5% annual simple interest. When the CD mat

ured, she invested the full amount in a mutual fund that had an annual growth equivalent to 18% compounded annually. How much was the mutual fund worth after 9 years?
Mathematics
1 answer:
nata0808 [166]2 years ago
3 0

9514 1404 393

Answer:

  $13,916.24

Step-by-step explanation:

First, we need to find the value of the CD at maturity.

  A = P(1 +rt) . . . . simple interest rate r for t years

  A = $2500(1 +0.085·3) = $2500×1.255 = $3137.50

__

Now, we can find the value of the account with compound interest.

  A = P(1 +r)^t . . . . . rate r compounded annually for t years

  A = $3137.50 × 1.18^9 = $13,916.24

The mutual fund was worth $13,916.24 after 9 years.

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6. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally dis
Yakvenalex [24]

Answer:

92.9997<\mu<99.5203

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

CI = xbar ± Z * S/√n where;

xbar is the sample mean

Z is the z-score at 90% confidence interval

S is the sample standard deviation

n is the sample size

Given parameters

xbar = 96.52

Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

<em>Hence a 90% confidence interval for the population mean using this sample data is 92.9997<</em>\mu<em><99.5203</em>

4 0
3 years ago
You have a 1-gallon paint can in the shape of a cylinder. One gallon is 231 cubic inches. The radius of the can is 3 inches. Wha
aleksandr82 [10.1K]

Answer:

The approximate height of the paint can is 8.2 in

Step-by-step explanation:

we know that

The volume of the cylinder ( can of paint) is equal to

V=\pi r^{2} h

we have

V=231\ in^{3}

r=3\ in

\pi=3.14

Substitute the values and solve for h

231=(3.14)(3)^{2} h

h=231/(3.14*9)=8.2 in

3 0
3 years ago
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Jonathan tries to mathematically model the number of seats in a given row. He tries to come up with an
seropon [69]

Answer:

Yes it does

Step-by-step explanation:

Why because “r” it means rows there could 1- infinite rows so S=7r (7 it means that each row has 7 seats) so let’s say r=2 (remember that is the # of rows are) so S=7(2)+ 2 (we replace r=2 on X) so 7•2=14 S=14+2=16 soo there are S=16 like 16 seats in 2 rows hope this could help y you understand....

3 0
3 years ago
8TH GRADE MATH HELP PLEASE
s2008m [1.1K]

Answer:

55 is the answer hope it helps...

6 0
2 years ago
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Domain is the set of all input values, while range is the set of all: a. independent variables c. relations b. output values d.
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