jayjay914
Answered

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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.
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