Question & Answer: Anthony invested a sum of money 2 years ago in a savings account that has since paid interest at th…..

Anthony invested a sum of money 2 years ago in a savings account that has since paid interest at the rate of 5%/year compounded quarterly. His investment is now worth $24,289.11. How much did he originally invest? (Round your answer to the nearest cent.)

Anthony invested a sum of money 2 years ago in a savings account that has since paid interest at the rate of 5%/year compounded quarterly. His investment is now worth $24,289.11. How much did he originally invest? (Round your answer to the nearest cent.)

Expert Answer

 

Amount Originally Invested            21,991.30
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Statementshowing Computations
Paticulars Amount
Time period in Years                      2.00
Time period in Quarter = 2*4                      8.00
Interest rate = 5%/4 1.25%
Amount, A            24,289.11
Originally Invest P
A = P(1+r/100)^n
24,289.11 = P(1+1.25/100)^8
24,289.11 = P(1.0125)^8
24,289.11 = P*1.104486
Principal = 24,289.11/1.104486            21,991.32
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