Question
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To lease a new car, you must make a down payment when you sign the lease, then pay per
month. Six months after signing his lease, Mr. Scott had paid . Write and solve an equation
to find the total amount he will have paid after 3 years.

Ask by Pena Ayala. in the United States
Jan 21,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

After 3 years, Mr. Scott will have paid a total of $8,664.

Solution

Let’s break down the problem step by step to find the total amount Mr. Scott will have paid after 3 years.

1. Define the Variables

  • Down Payment (D): The initial amount paid when signing the lease.
  • Monthly Payment: $199 per month.
  • Total Time: 3 years (which is 36 months).

2. Set Up the Equation

We know that after 6 months, Mr. Scott has paid a total of $2,694. This total includes the down payment plus the monthly payments for 6 months.
The equation can be written as:

3. Solve for the Down Payment (D)

So, the down payment is $1,500.

4. Calculate the Total Payment After 3 Years

Now, to find the total amount paid after 3 years (36 months), use the down payment plus the monthly payments for 36 months:

Answer

After 3 years, Mr. Scott will have paid a total of $8,664.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Explain
Simplify this solution

Beyond the Answer

To find the total amount Mr. Scott will have paid after 3 years, we first need to determine how much he paid as a down payment. Since he pays per month, after 6 months he has paid . Given that he has paid a total of , we can find the down payment by subtracting:
Now, the duration of the lease is 3 years or 36 months. The monthly payment will total . Adding the down payment gives:
So, Mr. Scott will have paid a total of after 3 years.

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