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tester [92]
3 years ago
8

Maxine moved out of state and just got her first job, paying $21.50 per hour. She works 40 hours per week and gets paid every 2

weeks. She pays 4% state income tax. How much does Maxine have remaining after state income tax is deducted from her paycheck?
Mathematics
1 answer:
puteri [66]3 years ago
7 0

Answer:

Maxine has $1,651.20 remaining after state income tax is deducted from her paycheck.

Step-by-step explanation:

If Maxine earns $ 21.50 an hour and works 40 hours per week, each week she earns a total of $ 860 (40 x 21.5). Since she collects every 2 weeks, her pre-tax salary is $ 1,720 (860 x 2). But the state discounts an income tax of 4%, with which the money that she effectively receives every two weeks is $ 1,651.20 (1720 - (1720 x 0.04).

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Approximate <img src="https://tex.z-dn.net/?f=-8%20%2B%5Csqrt%7B20%7D" id="TexFormula1" title="-8 +\sqrt{20}" alt="-8 +\sqrt{20}
alisha [4.7K]

The value of the radical expression -8 + √20 when expanded and solved is -3.6, based on the given parameters

<h3>What are equivalent expressions?</h3>

Equivalent expressions are different expressions that have equal values when evaluated and compared

<h3>How to approximate the radical expression?</h3>

The expression is given as:

-8 + √20

The above expression is a radical expression

So, we start by doing the following

Express 20 as 5 * 4

-8 + √20 = -8 + √(5 * 4)

Split the radical expression √(5 * 4)

-8 + √20 = -8 + √5 * √4

Evaluate the square root of 4 i.e. √4 = 2

-8 + √20 = -8 + √5 * 2

This gives

-8 + √20 = -8 + 2√5

Evaluate the square root of 5

-8 + √20 = -8 + 2 * 2.2

Evaluate the product of 2 and 2.2

-8 + √20 = -8 + 4.4

Evaluate the difference

-8 + √20 = -3.6

Based on the given parameters, the value of the radical expression -8 + √20 when expanded and solved is -3.6

So, the complete equation is:

-8 + √20 = -3.6

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Answer:

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Step-by-step explanation:

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