jayjay914
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Jeremy wants to buy a new computer. The saleswoman says that he can make a down payment and then pay for the computer in installments.

Here's a formula for this scenario:
[tex]\[ x = t - yz \][/tex]
where:
[tex]\[ x = \text{amount down} \][/tex]
[tex]\[ y = \text{money each month} \][/tex]
[tex]\[ z = \text{number of months} \][/tex]
[tex]\[ t = \text{total price} \][/tex]

Rewrite the formula to solve for the total price of the computer.

Sagot :

GinnyAnswer
To solve for the total price [tex]\( t \)[/tex] of the computer, we start with the given formula:

[tex]\[ x = t - yz \][/tex]

Here:
- [tex]\( x \)[/tex] is the down payment amount.
- [tex]\( y \)[/tex] is the money paid each month.
- [tex]\( z \)[/tex] is the number of months.
- [tex]\( t \)[/tex] is the total price of the computer.

We need to rearrange the formula to solve for [tex]\( t \)[/tex].

Step 1: Start with the original equation:
[tex]\[ x = t - yz \][/tex]

Step 2: Isolate [tex]\( t \)[/tex] by adding [tex]\( yz \)[/tex] to both sides of the equation:
[tex]\[ x + yz = t \][/tex]

Step 3: Rewrite the equation to explicitly solve for [tex]\( t \)[/tex]:
[tex]\[ t = x + yz \][/tex]

Now plug in the given placeholder values to find the total price:

- The down payment [tex]\( x \)[/tex] is [tex]$100. - The amount paid each month \( y \) is $[/tex]50.
- The number of months [tex]\( z \)[/tex] is 10.

Substitute these values into the equation:

[tex]\[ t = x + yz \][/tex]
[tex]\[ t = 100 + (50 \times 10) \][/tex]
[tex]\[ t = 100 + 500 \][/tex]
[tex]\[ t = 600 \][/tex]

Therefore, the total price [tex]\( t \)[/tex] of the computer is [tex]\( 600 \)[/tex] dollars.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.