Shauna borrows $400 from her parents to buy a phone. She agrees to pay them back plus 4% simple interest over one year. Part A Write an equation to represent the total amount Shauna will owe her parents.

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Information
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Amount = $400
Interest rate = 4% a year

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Equation
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Total amount = 400 + 0.04(400)
Total amount = 400 + 16
Total amount = $416

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Answer: Total Amount = 400 + 0.04(400)
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Lanuel

An equation that represents the total amount of money Shauna will owe her parents is [tex]T = 16 + P[/tex]

  • Let the total amount be T.

Given the following data:

  • Principal = $400
  • Interest = 4%
  • Time = 1 year

To write an equation that represents the total amount of money Shauna will owe her parents:

First of all, we would calculate the simple interest.

Mathematically, simple interest is given by this formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

  • S.I is the simple interest.
  • P is the principal amount.
  • R is the interest rate.
  • T is the time measured in years.

Substituting the given parameters into the formula, we have;

[tex]S.I = \frac{400 \times 4 \times 1}{100}\\\\S.I = \frac{1600}{100}[/tex]

Simple interest = $16

Now, we can write the equation that represents the total amount:

[tex]T = 16 + P[/tex]

Read more on simple interest here: https://brainly.com/question/22621039

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