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Vlad [161]
3 years ago
13

Imagine that you invest $100,000 in an account that pays 5.9% annual interest compounded monthly. What will your balance be at t

he end of 18 years?
Business
1 answer:
kodGreya [7K]3 years ago
4 0
The compound interest formula is: A= P(1+ \frac{r}{n} ) ^{nt}
Where:
A is the amount you will have.
P is the money you are investing.
r: is the interest rate (in decimals)
n: number of times the interest is compounded per year
t: time (in years)

The first thing is converting the rate from percentage to decimal: 
\frac{5.9}{100} = 0.059

Since the interest is compounded every month and a year has 12 months n=12.

Now we can replace the values in our formula:
A=100000(1+ \frac{0.059}{12} ) ^{(12)(18)}

We can simplify the exponents to get:
A=100000(1+ \frac{0.059}{12} ) ^{216}

Finally, we can use our calculator to get 288463.33

After 18 your balance in your bank account will be $288463.33
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