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alukav5142 [94]
2 years ago
9

evelyn has $638.54 in her checking account. she must maintain a $500 balance to avoid a fee. she wrote a check for $159.50 today

. write and solve an inequality that would be used for the least amount of money she needs to deposit to avoid a fee. source stylesformatfontsize
Mathematics
1 answer:
Pachacha [2.7K]2 years ago
4 0

The inequality is:

x + $488.04 ≥ $500

And the solution is

x ≥ $11.96

<h3>How to write and solve the inequality?</h3>

First, let's define x as the amount that she needs to deposit.

Now, we know that at the moment Evely has $638.54 in her bank account. Then she pays for $638.54, then she writes a check for $159.50, then we need to subtract that:

$638.54 - $159.50 = $488.04

Now she needs to deposit an amount x, such that her balance is at least $500, then we can write the inequality:

x + $488.04 ≥ $500

Solving that for x, we get:

x ≥ $500 - $488.04 = $11.96

She needs to deposit at least $11.96.

If you want to learn more about inequalities:

brainly.com/question/24372553

#SPJ1

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The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions
mr_godi [17]

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Step-by-step explanation:

let A be the area of the rectangle

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   w be the width of the rectangle

<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0  

<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 =  0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

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