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24. Joel bought a new home theater system. He paid a \( \$ 1,150 \) down payment and \( \$ 190 \) per month for 12 months. What was the total amount he paid for the home theater system? \( \$ 3,230 \) \( \$ 3,330 \) \( \$ 3,430 \) \( \$ 3,500 \)

Ask by Grant Ayala. in the United States
Feb 25,2025

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Joel paid a total of \$3,430 for the home theater system.

Solution

To find the total amount Joel paid for the home theater system, we need to consider both the down payment and the monthly payments. 1. **Down Payment**: Joel made a down payment of \( \$ 1,150 \). 2. **Monthly Payments**: He paid \( \$ 190 \) per month for 12 months. We can calculate the total of the monthly payments as follows: \[ \text{Total Monthly Payments} = \text{Monthly Payment} \times \text{Number of Months} = 190 \times 12 \] Now, let's calculate the total monthly payments: \[ 190 \times 12 = 2,280 \] 3. **Total Amount Paid**: Now, we add the down payment to the total monthly payments: \[ \text{Total Amount Paid} = \text{Down Payment} + \text{Total Monthly Payments} = 1,150 + 2,280 \] Calculating this gives: \[ 1,150 + 2,280 = 3,430 \] Thus, the total amount Joel paid for the home theater system is \( \$ 3,430 \). The correct answer is \( \$ 3,430 \).

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To find the total amount Joel paid for the home theater system, we start with the down payment of \( \$ 1,150 \). Then, we calculate the total monthly payments: \( \$ 190 \times 12 = \$ 2,280 \). Adding these two amounts together gives us \( \$ 1,150 + \$ 2,280 = \$ 3,430 \). So, the total amount he paid for the home theater system is \( \$ 3,430 \). Now, isn’t it fascinating to think about how home theater systems have evolved? Back in the day, having a surround sound system and a big screen was a luxury. Now, many people enjoy theater-quality experiences right in their living rooms with advancements in technology such as 4K projectors and smart speakers! If you ever find yourself in the position of budgeting for a big purchase like this, always remember to factor in not just the total cost but also the value you’ll get from your investment. Home theater systems can enhance entertainment experiences significantly, and considering the price of outings to movie theaters, they can really pay for themselves over time!

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