ompounded semiannually. 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 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if P = $5670 and r = 3.5%

Question

kropot72 · Answer

$$P(1+\frac{r}{2})^{2}=P(1+r+\frac{r ^{2}}{4})=P+\Pr+P\frac{r ^{2}}{4}\ .........(1)$$
Now plug the values P = 5670 and r = 0.035 into equation (1).

tkhunny · Answer

And why would anyone EVER do that?

We changed it from

Addition: 1
Multiplication: 1
Division: 1
Exponentiation: 1

To this

Addition: 2
Multiplication: 2
Division: 1
Exponentiation: 1

Can you even imagine how much more complex a larger problem would be under this transformation?

kropot72 · Answer

The question asks "Rewrite this expression without parentheses", presumably as an exercise in expansion.

goformit100 · Answer

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