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Korolek [52]
3 years ago
7

if Alexis invest $2,000 into a fund that earns 5.5% interest compounded annually, how long will it take for her investment to gr

ow into $100,000?
Business
1 answer:
madreJ [45]3 years ago
3 0

Answer:

73 years

Explanation:

To solve this problem, we can use the formula for the annual compound interest, which is:

A=P(1+r)^t

where:

A is the final amount after time t

P is the principal

r is the rate of interest

t is the time

In this problem, we have:

P=\$2000 is the principal

r=0.055 is the interest rate (5.5%)

We want to find the time t at which the amount of money is

A = $100,000

Therefore, we can re-arrange the equation and solve for t:

(1+r)^t=\frac{A}{P}\\t=log_{1+r}(\frac{A}{P})=log_{1+0.055}(\frac{100,000}{2000})=73

So, it will take 73 years.

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