SOLUTION: P dollars is invested at annual interest rate r for 1 year. if the interest is compounded semiannually then the polynomial P(1+r/2)2(this 2 is superscript) represents the value of

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: P dollars is invested at annual interest rate r for 1 year. if the interest is compounded semiannually then the polynomial P(1+r/2)2(this 2 is superscript) represents the value of       Log On


   



Question 173270: P dollars is invested at annual interest rate r for 1 year. if the interest is compounded semiannually then the polynomial P(1+r/2)2(this 2 is superscript) represents the value of the investment after 1 year. Rewrite the expression without parenthesis. Evaluate the polynomial if P=$200 and r=10%
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Rewriting w/o parenthesis:
A=P%281%2Br%2F2%29%5E2
A=P%281%2Br%2F2%29%281%2Br%2F2%29
A=P%281%2Br%2F2%2Br%2F2%2Br%5E2%2F4%29
A=P%281%2Br%2Br%5E2%2F4%29
A=P%28r%5E2%2F4+%2B+r+%2B+1%29
A=Pr%5E2%2F4+%2B+Pr+%2B+P
.
Evaluate when:P=$200 and r=10%
A=Pr%5E2%2F4+%2B+Pr+%2B+P
A=200%28.10%29%5E2%2F4+%2B+200%28.10%29+%2B+200
A=50%28.10%29%5E2+%2B+20+%2B+200
A=50%280.01%29+%2B+20+%2B+200
A=0.5+%2B+20+%2B+200
A=220.5