Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 8 - Personal Finance - 8.8 Credit Cards - Exercise Set 8.8 - Page 564: 4

Answer

See below

Work Step by Step

(a) Now, compute the average daily balance using the equation as shown below: \[\begin{align} & \text{Average daily balance}=\frac{\text{Sum of unpaid balances for each day in the billing period}}{\text{Number of days in the billing period}} \\ & =\frac{\$534,921.58}{30}\\&\approx\$17,830.71\end{align}\] (b) Compute the amount of interest payable using the equation as shown below: \[\begin{align} & \text{Interest}=\left( \text{Average daily balance} \right)\times \left( \text{Interest rate} \right)\times \left( \text{Time} \right) \\ & =\$17,830.71\times0.012\times1\\&=~\$213.96\end{align}\] (c) Compute the amount of balance due as on 1st July using the equation as shown below: \[\begin{align} & \text{Balance due as on July }{{\text{1}}^{\text{st}}}=\text{Balance due}+\text{Interest} \\ & =\$20,166.82+\$213.96\\&=\$20,380.78\end{align}\] (d) The amount of balance due as on July 1st is $20, 341.10 which is more than $400, so the customer has to pay off the balance due. Compute the monthly payment as shown below: \[\begin{align} & \text{Minimum monthly payment}=\frac{\text{Balance due}}{25} \\ & =\frac{\$20,380.71}{25}\\&=\$815.23\end{align}\]
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