Respuesta :

The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34

Given data

Principal =?

Final amount = $20,000

rate = 4.75%

Time = 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 4.75/100

r = 0.0475 per year,

Then, solve the equation for P

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

P = 20,000.00 / (1 + 0.0475/12)^(12)(20)

P = 20,000.00 / (1 + 0.003958333)^(240)

P = $7,749.34

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