In Try This 4 you will explore how exponential equations can be used to solve problems involving investments and credit cards.
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Answer the following questions using the compound interest formula A = P(1 + i)n, where
Scenario 1
Eoghan (pronounced Ewan) receives a gift of $500 and decides to invest in a GIC (guaranteed investment certificate) that earns 5.5% per year, compounded semi-annually. Determine how long it will take for Eoghan’s GIC to be worth $700 by answering the following questions.
Scenario 2
Jia used a credit card to purchase an $850 tablet computer. The interest rate charged on overdue balances is 18% per year, compounded daily. Answer the following questions to determine how many days Jia’s payment is overdue if the amount owed on her credit card is $875.
Substitute the values from question 4 into the formula A = P(1 + i)n. Solve for the number of days the balance is overdue.
Save your responses in your course folder.
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The Diners Club, introduced in 1950, was the first universal credit card. Today, many adults have at least one credit card. In fact, to rent a car, you must have a credit card. There is an element of risk to a financial institution in extending credit to individuals. Many credit cards charge a high interest rate on balances not paid after a month. These interest rates are usually compounded daily.