Chapter 8: Problem 28
Solve for \(t: A=P(1+r t)\).
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Chapter 8: Problem 28
Solve for \(t: A=P(1+r t)\).
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Suppose your credit card has a balance of \(\$ 3600\) and an annual interest rate of \(16.5 \%\). You decide to pay off the balance over two years. If there are no further purchases charged to the card, a. How much must you pay each month? b. How much total interest will you 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 ? $$ \begin{array}{|ll|c|} \hline \text { Transaction Description } & \text { Transaction Amount } \\ \hline \text { Previous balance, } \$ 7150.00 & \\ \hline \text { March } 1 \quad \text { Billing date } & & \\ \hline \text { March } 4 \quad \text { Payment } & \$ 400 \text { credit } \\ \hline \text { March 6 } \quad \text { Charge: Furniture } & \$ 1200 \\ \hline \text { March } 15 \quad \text { Charge: Gas } & \$ 40 \\ \hline \text { March } 30 & \text { Charge: Groceries } & \$ 45 \\ \hline \text { March } 31 & \text { End of billing period } & \\ \hline \text { Payment Due Date: April } 9 & \\ \hline \end{array} $$
a. Suppose that between the ages of 22 and 40 , you contribute \(\$ 3000\) per year to a \(401(\mathrm{k})\) and your employer contributes \(\$ 1500\) per year on your behalf. The interest rate is \(8.3 \%\) compounded annually. What is the value of the \(401(\mathrm{k})\), rounded to the nearest dollar, after 18 years? b. Suppose that after 18 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the \(401(\mathrm{k})\). How much money, to the nearest dollar, will you have in the plan when you reach age 65 ? c. What is the difference between the amount of money you will have accumulated in the \(401(\mathrm{k})\) and the amount you contributed to the plan?
Describe how to determine what you can afford for your monthly mortgage payment.
This activity is a group research project intended for four or five people. Use the research to present a seminar on investments. The seminar is intended to last about 30 minutes and should result in an interesting and informative presentation to the entire class The seminar should include investment considerations, how to read the bond section of the newspaper, how to read the mutual fund section, and higher-risk investments.
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