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Elina [12.6K]
3 years ago
10

Suppose that $80000 is invested at 8% interest. Find the amount of money in the account after 3 years if the

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer:

Compounded Annually: $100,776.96

Compounded Continuously: $101,699.93

Step-by-step explanation:

First, you are going to want to use the normal compound interest formula, which is shown below.

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

Change 8% into a decimal:

8% -> \frac{8}{100} -> 0.08

Now, plug in the values into the equation:

A=80,000(1+\frac{0.08}{1})^{1(3)}

A=100,776.96

--------------------------

To find the interest compound <u>continuously,</u> use the following formula:

A = Pe^{rt}

Now, plug in the values:

A=80,000e^{0.08(3)}

A=101,699.93

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