Math - Simple/Compound Interest/Future Value of Annuity

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Simple Interest.

1 . Use formula for Simple Interest to calculate how much will be on account after 6 months if initial deposit was $2,000 and annual rate is 3%.

Simple Interest. 2. A loan of $4,000 was repaid at the end of 10 months with a check for $4,300. What annual rate was on this loan? Use formula for simple interest.

Simple Interest.

3. What initial deposit (principal) was made on account with simple annual interest rate 4%, if after 5 years balance on this account (amount) was $2,400 ?

Compound Interest.

4. For the annual interest rate r = 6% compounding every mount (12 times per year) find i, the interest rate per compounding period.

Compound Interest.

5. $30,000 was invested at 6% annual interest rate compounded monthly. How much will be on this account after 4 years?

Compound Interest.

6. Family invested money for 3 years at 8% annual interest rate compounded 4 times per year. After 3 years they received a check for $19,023. How much was invested?

Future Value of Annuity.

7. John makes deposit of $200 every month to his retirement account. Account has 7.2% annual interest rate compounded monthly. How much will be on this account after 20 years? Tip: For Future Value of Annuity (FV) use the formula: FV = M×

where M – regular monthly payment, N – total number of payments during 20 years, i – interest rate per month in decimal form, i = annual rate/12.

Monthly Mortgage Payment.

8. A couple want to buy a house that for $300,000. They are planning to make down payment for $30,000 (10%) and the rest . Interest rate for 30 year mortgage is 6%. What will be their monthly payment for 30years mortgage? Tip: For Monthly Mortgage Payment (M) use the formula: M = L×

where L – loan taken from the bank (mortgage), N – total number of payments during 30 years, i – interest rate per month in decimal form, i = annual rate/12.