a. At what interest rate, compounded annually, would you need to invest $500 in order to have$625 in 2 years? b. At this interest rate, how long would it take for your $500 to double in value?

For the following exercise, determine the value of the annuity for the indicated monthly deposit amount, the number of deposits, and the interest rate.

Deposit amount: $\$ 100$; total deposits: 120 ; interest rate: $10 \%$, compounded semi-annually

A loan of $\$ 10,000$ was repaid at the end of $6$ months. What amount (principal and interest) was repaid, if a $6.5 \%$ annual rate of interest was charged?

Find the time required for a $1000 investment to (a) double at interest rate r, compounded continuously, and (b) triple at interest rate r, compounded continuously. Round your results to two decimal places.$r = 7 %$

For the following exercises, determine the value of the annuity for the indicated monthly deposit amount, the number of deposits, and the interest rate. Deposit amount: $100; total deposits: 120; interest rate: 10%, compounded semi-annually

A sum of $1000 was invested for 4 years, and the interest was compounded semiannually. If this sum amounted to$1435.77 in the given time, what was the interest rate?

Find the compound amount and compound interest if $4000 is invested for six years and interest is compounded continuously at the given annual rate. 9%

A company issued bonds with a $100,000 face value, a 5-year term, a stated rate of 6%, and a market rate of 7%. Interest is paid annually. What is the amount of interest the bondholders will receive at the end of the year?

To what sum will $2000 amount in eight years if invested at a 6% effective rate for the first four years and at 6% compounded semiannually thereafter?

The monthly payment on a $300,000 30 year mortgage at 6% annual interest rate is$1798.65. What is the interest payment for the first month?

What happens to the present value of an annuity as the interest rate increases?

The monthly payment that amortizes a loan of A dollars in t years when the interest rate is r/year compounded monthly, is given by $P=f(A, r, t)=\frac{A r}{12\left[1-\left(1+\frac{r}{12}\right)^{-12 t}\right]}$ a. What is the monthly payment for a home mortgage of $300,000 that will be amortized over 30 years with an interest rate of 4%/year? An interest rate of 6%/year? b. Find the monthly payment for a home mortgage of$300,000 that will be amortized over 20 years with an interest rate of 6%/year.

The bank offered a 0.6% interest rate. Find 0.6% of $1300.

Find the monthly payment, amount paid, and interest charged for a $90,000 mortgage loan at an annual interest rate of 10% for 20 years.