Problema Solution

How long would it take to reach your goal of $30,000.00 if you invest $1,000.00 a year and it earns 6 percent

Answer provided by our tutors

Assuming the money is compounded annually at yearly rate of 6%:

P = $1,000 the principal

r = 0.06 or 6% annual interest

A = $30,000 the future value

t = the time needed

A = P(1 + r)^t

30000 = 1000(1 + 0.06)^t

1000(1 + 0.06)^t = 30000 divide both sides by 1000

1.06^t = 30

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click here to see the equation solved for t

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t = 58.37 years

It will take 58.37 years to reach $30,000.