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: 1

Answer

See below

Work Step by Step

(a) Prepare the table showing unpaid daily balances as shown as below: Now, compute the average daily balance using the formula as mentioned above: \[\begin{align} & \text{Average daily balance}=\frac{\text{Sum of unpaid balances for each day in the billing period}}{\text{Number of days in the billing period}} \\ & =\frac{\$190,670}{31}\\&=\$6,150.65\end{align}\] (b) Compute the amount of interest payable using the equation as shown below: \[\begin{align} & \text{Interest}=\left( \text{Average daily balance} \right)\times \left( \text{Interest rate} \right)\times \left( \text{Time} \right) \\ & =\$6,150.65\times0.015\times1\\&=~\$92.26\end{align}\] (c) Compute the amount of balance due as on 1st April using the equation as shown below: \[\begin{align} & \text{Balance due as on April }{{\text{1}}^{\text{st}}}=\text{Balance due}+\text{Interest} \\ & =\$6,300+\$92.26\\&=\$6,392.26\end{align}\] The amount of balance due as on April 1st is \[\$6,392.26\]that is more than\[\$360\], so the customer has to pay off the balance due. \[\begin{align} & \text{Minimum monthly payment}=\frac{\text{Balance due}}{36} \\ & =\frac{\$6,392.26}{36}\\&=\$178\end{align}\]
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