Question

1. liz needs to keep no less than $500 in her checking account to avoid fees. she had $524.75 before writing a check for $65.99. how much does she need to deposit into her account to avoid a fee?

Explanation:

Step1: Define variables and inequality

Let \( d \) be the deposit amount. After writing the check, her balance is \( 524.75 - 65.99 \), then adding the deposit \( d \), it should be at least \( 500 \). So the inequality is \( 524.75 - 65.99 + d \geq 500 \).

Step2: Simplify the left - hand side

First, calculate \( 524.75 - 65.99 = 458.76 \). The inequality becomes \( 458.76 + d \geq 500 \).

Step3: Solve for \( d \)

Subtract \( 458.76 \) from both sides of the inequality: \( d \geq 500 - 458.76 \). Calculate \( 500 - 458.76 = 41.24 \).

Answer:

Liz needs to deposit at least \(\$41.24\) (the inequality is \(524.75 - 65.99 + d\geq500\) and the solution is \(d\geq41.24\))