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Chapter 8: Problem 40
What is the future value of a loan and how is it determined?
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How much money should be deposited today in an account that earns \(6 \%\) compounded semiannually so that it will accumulate to \(\$ 10,000\) in three years?
To offer scholarships to children of employees, a company invests \(\$ 15,000\) at the end of every three months in an annuity that pays \(9 \%\) compounded quarterly. a. How much will the company have in scholarship funds at the end of 10 years? b. Find the interest.
The price of a home is \(\$ 220,000\). The bank requires a \(20 \%\) down payment and three points at the time of closing. The cost of the home is financed with a 30 -year fixed-rate mortgage at \(7 \%\). a. Find the required down payment. b. Find the amount of the mortgage. c. How much must be paid for the three points at closing? d. Find the monthly payment (excluding escrowed taxes and insurance). e. Find the total cost of interest over 30 years.
The actual amount of your paycheck after taxes have been withheld is called your pay.
Exercises 1-2 involve credit cards that calculate interest using the average daily balance method. The monthly interest rate is \(1.5 \%\) of the average daily balance. Each exercise shows transactions that occurred during the March \(1-\) March 31 billing period. In each exercise, a. Find the average daily balance for the billing period. Round to the nearest cent. b. Find the interest to be paid on April 1, the next billing date. Round to the nearest cent. c. Find the balance due on April 1 . d. This credit card requires a \(\$ 10\) minimum monthly payment if the balance due at the end of the billing period is less than \(\$ 360\). Otherwise, the minimum monthly payment is \(\frac{1}{30}\) of the balance due at the end of the billing period, rounded up to the nearest whole dollar. What is the minimum monthly payment due by April 9 ? $$ \begin{array}{|l|c|} \hline \text { Transaction Description } & \text { Transaction Amount } \\ \hline \text { Previous balance, } \$ 6240.00 & \\ \hline \text { March 1 } \quad \text { Billing date } & \\ \hline \text { March 5 } \quad \text { Payment } & \$ 300 \text { credit } \\ \hline \text { March 7 } \quad \text { Charge: Restaurant } & \$ 40 \\ \hline \text { March 12 } \quad \text { Charge: Groceries } & \$ 90 \\ \hline \text { March 21 } \quad \text { Charge: Car Repairs } & \$ 230 \\ \hline \text { March 31 } \quad \text { End of billing period } & \\ \hline \text { Payment Due Date: April 9 } & \\ \hline \end{array} $$
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