How much Ione invest if she wants to have P19,640.62 at the end of 2.75 years at a bank that offers 11(1/4)% simple interest.
A=P(1+in).................(i)
Where "A" is the accumulated amount,"P" is the principal invested ,"i" is the interest rate and "n" is the time period for accumulation
We are given:
"A= P19,640.62" , "i=11.25\\%=0.1125" and "n=2.75" years
Substitute this values to equation "(i)" Above:
"A=P(1+in)"
"19,640.62 =P[1+(0.1125\\times 2.75)]"
"\\implies P={19640.62\\over [1+(0.1125\\times 2.75)]}=14999.9961813842\\approx P15000"
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