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77julia77 [94]
3 years ago
7

If an investment account starts with $3,900, and grows with 2.1% interest, compounded annually, how much is the account worth af

ter 15 years?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.

Answer 5327
Mathematics
1 answer:
zalisa [80]3 years ago
3 0

Answer:

$5327

Step-by-step explanation:

Use the formula for calculating compound interest

A(t)=P(1+r/n)^n⋅t,

where A(t) is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded each year, and t is the time (in years). We are given that P=$3,900, r=0.021, n=1, and t=15. Substituting the values into the formula and using a calculator to evaluate, we find

A(t)=P(1+r/n)^n⋅t = $3,900(1+0.0211)^(15)(1) ≈ $5,326.61

So the final answer is $5,327.

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What is the average rate of change over the interval [0, 4]?
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Answer:

\frac{3}{4}

Step-by-step explanation:

Given:

Interval, [0, 4]

Required:

Average range of change over [0, 4]

SOLUTION:

Find f(0) and f(4) from the graph:

f(0) = 0 (when x = 0, y = 0)

f(4) = 3 (when x = 4, y = 3)

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

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b = 4, f(b) = 3

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Average rate of change = \frac{3}{4}

8 0
3 years ago
A random sampling of a company's monthly operating expenses for n=36 months produced a sample mean of $5474 and a stan-dard devi
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Answer with explanation:

Mean of the sample(m) = $ 5474

Standard deviation of the sample (S)=764

Number of observation(n)=36

Z_{90 \text{Percent}}=Z_{0.09}=0.5359

z_{score}=\frac{\Bar x-\mu}{\frac{S}{\sqrt{n}}}\\\\0.5359=\frac{5474- \mu}{\frac{764}{\sqrt{36}}}\\\\0.5359=\frac{5474- \mu}{\frac{764}{6}}\\\\764 \times 0.5359=6 \times (5474- \mu)\\\\409.4276=32844-6 \mu\\\\6 \mu=32844 -409.4276\\\\ 6 \mu=32434.5724\\\\ \mu=\frac{32434.5724}{6}\\\\ \mu=5405.76

So, Mean Monthly Expenses of Population =$ 5405.76, which is 90% upper confidence bound for the company's mean monthly expenses.

4 0
3 years ago
Solve for x<br> 3x + 6 over 3 = 6
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Answer:

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Step-by-step explanation:

3x+6/3=6

multiply each side by 3 to get rid of the fraction bar

3x+6=6*3

3x +6=18

-6 from both sides

3x= 18-6

3x=12

divide by three on both sides to solve for x

x=12/3

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2 years ago
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Answer:

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Step-by-step explanation:

Let the width of the rectangle as 'x' units.

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Combine like terms,

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So, width of the rectangle =4

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3 years ago
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