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)

Expert Solution

milcah answered 2 years ago

The value in six years of $15,000 invested today at a stated annual interest rate of...

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Suppose that there is compound interest at an annual inflation adjusted rate of 1.8% and that...

Suppose that there is compound interest at an annual inflation adjusted rate of 1.8% and that the annual rate of inflation is 2.3%. Find the force of interest corresponding to the stated rate of interest and the inflation-adjusted force of interest corresponding to the real rate of interest. In general, what can you say about the difference between the force of interest and the inflation-adjusted force of interest?

Suppose that there is compound interest at an annual inflation adjusted rate of 1.7% and that...

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Suppose $90,000 was invested on January 1, 1980 at an annual effective interest rate of 4%...

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Use properties of rational exponents to solve the compound interest formula for the interest rate, r. For the following exercises, use the compound interest formula, A(t) = P(1 + r/n)nt.

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1) 3 year(s) ago, Trang invested 67,535 dollars. She has earned and will earn compound interest...

1) 3 year(s) ago, Trang invested 67,535 dollars. She has earned and will earn compound interest of 4.3 percent per year. In 1 year(s) from today, Isaac can make an investment and earn simple interest of 8.45 percent per year. If Isaac wants to have as much in 9 years from today as Trang will have in 9 years from today, then how much should Isaac invest in 1 year(s) from today? 2) 1 year(s) ago, Theo invested 78,151 dollars....

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