Problema Solution

Charlie wants to make a one-time investment in an account that earns 4% interesting compounded monthly. To earn 221,791 dollars after 25 years, how much money must he invest?

Answer provided by our tutors

r = 0.04 or 4% annual rate

I = $221,791

t = 25 years

n = 12*25

n = 300

A = P (1+ r/12)^n

I = A - P

P(1 + r/12)^n - P = I

P(1+ 0.04/12)^300 - P = 221791

P*2.3122 = 221791

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click here to see the equation solved for P

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P = $95,922.07

Charlie must invest $95,922.07.