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DochEvi [55]
3 years ago
10

Bethany borrows $8000 at 3% interest rate with interest compounded continuously for 6 years. What is the total interest?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer:

$1,577.74

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

A = Pe^{rt}

<em>A = total </em>

<em>P = principal amount </em>

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

<em>t = time (years) </em>

<em />

First change 3% to its decimal form:

3% -> \frac{3}{100} -> 0.03

Next, we can plug in the values into the equation:

A=8,000e^{0.03(6)}

A=9,577.74

The last step is to subtract 8,000 from 9,577.74:

9,577.74-8,000=1,577.74

The total interest earned is $1,577.74

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