Carroll Bolton
08/06/2023 · Primary School

Viola has to relocate for her job. She finds a townhome with an option to rent or buy. The conditions of each are shown below. Rent: Move-in costs of \( \$ 2,380 \) and monthly payment of \( \$ 845 \). Buy: Move-in costs of \( \$ 5,260 \) and monthly payment of \( \$ 785 \). Viola moves frequently due to her job, but she thinks that she will stay in the area for 4 years. Therefore, she decided to buy. Choose the best evaluation of Viola's decision. a. Since the costs would be the same over the 4 year period, she will have made a good decision if the property value does not decrease. b. She made a fairly good decision. Buying the townhome will be cheaper over the 4 year period as long as she doesn't have major repairs to make. c. She made a poor decision if the property value does not increase. Renting the townhome would be cheaper over the 4 year period. d. There is not enough information given to determine which option is best.

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To evaluate Viola's decision between renting and buying the townhome, we need to compare the total costs over a 4-year period for both options. Let's calculate the total costs for renting and buying over 4 years: 1. Renting: - Move-in costs: $2,380 - Monthly payment: $845 - Total costs over 4 years = Move-in costs + (Monthly payment * 12 months * 4 years) 2. Buying: - Move-in costs: $5,260 - Monthly payment: $785 - Total costs over 4 years = Move-in costs + (Monthly payment * 12 months * 4 years) Let's calculate the total costs for both options and compare them to determine the best evaluation of Viola's decision. Calculate the value by following steps: - step0: Calculate: \(2380+845\times 12\times 4\) - step1: Multiply the terms: \(2380+40560\) - step2: Add the numbers: \(42940\) Calculate or simplify the expression \( 5260 + 785 * 12 * 4 \). Calculate the value by following steps: - step0: Calculate: \(5260+785\times 12\times 4\) - step1: Multiply the terms: \(5260+37680\) - step2: Add the numbers: \(42940\) The total costs over 4 years for renting the townhome is $42,940, and the total costs over 4 years for buying the townhome is also $42,940. Therefore, the costs would be the same over the 4-year period for both renting and buying. Based on the given options: a. Since the costs would be the same over the 4-year period, she will have made a good decision if the property value does not decrease. b. She made a fairly good decision. Buying the townhome will be cheaper over the 4-year period as long as she doesn't have major repairs to make. c. She made a poor decision if the property value does not increase. Renting the townhome would be cheaper over the 4-year period. d. There is not enough information given to determine which option is best. Given that the costs would be the same over the 4-year period, the best evaluation of Viola's decision would be option a: Since the costs would be the same over the 4-year period, she will have made a good decision if the property value does not decrease.

Quick Answer

The costs would be the same over 4 years for both renting and buying. Therefore, the best evaluation is: a. Since the costs would be the same over the 4-year period, she will have made a good decision if the property value does not decrease.
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