MATHEMATICS MIDDLE SCHOOL

Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable x represents the employee’s pay before tax-exempt expenses and taxes are removed, which expression represents the employee’s take-home pay after these deductions?

Answers

Answer 1

Answer:

Answer:

0.85(x - 350)

Step-by-step explanation:

Here "x" represents the pay before tax.

Take exempted amount = 350.

The taxable amount = x - 350.

The tax rate = 15% = 15/100 = 0.15

Take home pay after the tax deduction = Taxable amount - tax

= (x - 350) - 0.15(x - 350)

Now we have to simplify this.

= (x - 350)(1 - 0.15)

= (x - 350)(0.85)

The employee’s take-home pay after these deductions= $0.85(x - 350).

Thank you.

Answer 2

Answer:

Answer:

The answer is option C

Step-by-step explanation:

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I need help with this Algebra 1 Study Guide. It has 5 questions . This has many hard questions so to you people that like a challenge, can you help me out?

Answers

1. Rational numbers can be written as a ratio (fraction)
Whole numbers are rational. 5 = 5/1, for example.
Square roots are NOT rational. Example: √3
However, square roots of square numbers can be simplified, and are therefore rational. √4 = 2, rational.

√4 + √16 = 2 + 4 = 6. rational
√5 + √36... irrational
√9 + √24... irrational
2 × √4 = 2 × 2 = 4. rational
√49 × √81 = 7 × 9 = 63. rational
3√12... irrational

2. $n^\frac12=\sqrtn$
$9^\frac32=9^3*\frac12=√(9^3)=√(729)=29$

3. $(n^a)/(n^b)=n^(a-b)$

$(a^\frac13)/(a^\frac14)=a^(\frac13-\frac14)=a^{(1)/(12)}$

4. $n^\frac1x=\sqrt[x]n$

$\sqrt[3]{m^2n^5}=m^(\frac23)n^(\frac53)$

5. $√(a)*√(b)=√(ab)$

$√(3)*√(12)=√(3*12)=√(36)=6$

A, since neither 3 nor 12 is a square but we end up with 6.

-3x - 3/4 = 9 helpppppppp

Answers

-3x - 3/4 = 9
-3x - 3/4 + 3/4 = 9 + 3/4
-3x = 9 3/4
I change 9 3/4 to improper fraction
-3x = 39/4
-3x / -3 = 39/4 / -3
X = 39/4 x -1/3 (change division to multiplication so that you can complete the problem)
X = -39/12
You can convert that if you want to -3 3/12
So x = -3 3/12
Simplify to x = -3 1/4

Dennis wants to buy a card for his wife. Dennis calculates the amount of the card as $ 4.50. The actual price of the card is $4. What is Dennis's % error?

Answers

Okay, so this equation is a percent error, and how you solve those is doing:

First Subtract Approximate value from Exact value:
4.50 - 4 = 0.5 , so the error is 0.5

Now, show the error as a percent of the exact value ... so divide by the exact value and make it a percentage:

0.5/4 = 0.125 = 12.5%

Therefore the percent error would be: 12.5%

You scored 18 out of the 60 points scored by your team. What percent of your team's points did you score?70%

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18%

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