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In: Math

1) The Compound Interest Formula Suppose ? dollars are invested at a stated annual interest rate...

1) The Compound Interest Formula Suppose ? dollars are invested at a stated annual interest rate r. If interest is compounded n times per year, then the future value of the investment after t years is given by ?(?) = ? ( 1 + ?? )?? .


a) Suppose you invest $20,000 at a stated annual interest rate of 6% and that interest is compounded monthly. How much will your investment be worth in 5 years? Round to the nearest hundredths..


b) Suppose you can invest your money at a stated annual interest rate of 8% compounded quarterly. If you want to have $25,000 in 5 years, how much must you invest today? Round to the nearest ones.

2)Find the second derivative of the following function:
? = ?^2?^-x + log3(?^2 + 1)

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