jayjay914
Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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.
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.