coolmenfish66697
coolmenfish66697 coolmenfish66697
  • 20-04-2021
  • Mathematics
contestada

How much money is needed to be invested now to obtain $12,100 8 years from now if this amount is invested at 7.25% compounded continuously?

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 25-04-2021

Answer:

$6,911.92

Step-by-step explanation:

Given the following

Amount A = $12,100

Time t = 8yrs

Rate r = 7.25%

Required

Principal P

Using the compound interest formula;

A = P(1+r)^n

12,100 = P(1+0.0725)^8

12,100 = P(1.0725)^8

12100 = 1.7506P

P = 12,100/1.7506

P = 6,911.92

Hence the amount invested would have been $6,911.92

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