Thinking Mathematically (6th Edition)

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

Chapter 8 - Personal Finance - 8.7 The Cost of Home Ownership - Exercise Set 8.7 - Page 556: 2

Answer

See below

Work Step by Step

(a) Compute the value of the downpayment using the equation as shown below: \[\begin{align} & \text{Down payment}=\text{Loan Amount}\times \text{Percentage of Downpayment} \\ & =\text{ }\!\!\$\!\!\text{180,000}\times\frac{5}{100}\\&=\$9,000\end{align}\] Hence, the down payment required is\[\$9,000\]. (b) Compute the value of the mortgage amount by removing the amount of down payment from price of the condominium, use the equation as shown below: \[\begin{align} & \text{Mortgage Amount}=\text{Condominium Price}-\text{Down payment} \\ & =\$180,000-\$9,000\\&=\$\text{171,000}\end{align}\] Hence, the mortgage amount is\[\$171,000\]. (c) Compute the value of the one point by multiplying the amount of mortgage with the one point, use the equation as shown below: \[\begin{align} & \text{One points Amount}=\text{Mortgage Amount}\times 0.01 \\ & =\$171,000\times0.01\\&=\$\text{1,710}\end{align}\] The amount that needs to be paid at the closing is\[\$1,710\].
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