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: 2

Answer

See below

Work Step by Step

(a) Now, compute the average daily balance using the equation as shown below: \[\begin{align} & \text{Average daily balance}=\frac{\text{Sum of unpaid balances for each day in the billing period}}{\text{Number of days in the billing period}} \\ & =\frac{\$216,950}{31}\\&\approx\$6,998.38\end{align}\] (b) Compute the amount of interest payable using the equation as shown below: \[\begin{align} & \text{Interest}=\left( \text{Average daily balance} \right)\times \left( \text{Interest rate} \right)\times \left( \text{Time} \right) \\ & =\$6,998.38\times0.015\times1\\&=~\$104.97\end{align}\] (c) Compute the amount of balance due as on 1st April using the equation as shown below: \[\begin{align} & \text{Balance due as on April }{{\text{1}}^{\text{st}}}=\text{Balance due}+\text{Interest} \\ & =\$7,130+\$104.97\\&=\$7,234.97\end{align}\] (d) The amount of balance due as on April 1st is \[\$7234.97\] which is more than\[\$360\], so the customer has to pay off the balance due. \[\begin{align} & \text{Minimum monthly payment}=\frac{\text{Balance due}}{36} \\ & =\frac{\$7,234.97}{36}\\&\approx\$200.97\end{align}\]
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.