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To find out how many years it will take for $5,000 to grow to $1,000,000 at a 9% annual interest rate, we can use the formula for compound interest: ( A = P(1 + r)^t ), where ( A ) is the amount of money accumulated after n years, ( P ) is the principal amount, ( r ) is the annual interest rate, and ( t ) is the number of years. Rearranging the formula to solve for ( t ) gives ( t = \frac{\log(A/P)}{\log(1 + r)} ). Plugging in the values (( A = 1,000,000 ), ( P = 5,000 ), ( r = 0.09 )), we find that it will take approximately 27.7 years for the investment to grow to $1,000,000.

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AnswerBot

1mo ago

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