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bogdanovich [222]
3 years ago
13

The gross income of maurice is 785 per week. His deductions are 42.25 FICA tax, 90.33 income tax, 2% state tax 1% city tax, and

3% retirement fund. What is his net incomefor one week ?
Mathematics
1 answer:
dlinn [17]3 years ago
8 0
State tax = 2% of 785 = 0.02 x 785 = $15.70
city tax = 1% of 785 = 0.01 x 785 = $7.85
retirement fund = 3% of 785 = 0.03 x 785 = $23.55

Total deductions = $42.25 + $90.33 + $15.70 + $7.85 + $23.55 = $179.68

Net income = $785 - $179.68 = $605.32
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What is the value of x in the diagram? A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured
Lunna [17]
If you visualize the problem, there are two concentric circles, the pool, and the pool plus the walkway. So, we have to subtract the area of these two concentric circles to find the walkway.

Bigger circle: Pool plus walkway
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diameter = 18 + 4(2)   -- this is because there is 2 ft of walkway at each far end
diameter = 26 ft
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A = 530.93 - 50.27
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Read 2 more answers
Can someone explain this?
Cerrena [4.2K]
<h2>Hello!</h2>

The answer is:

The missing step is the step shown in the last option:

D. 324=0.042x+16

<h2>Why?</h2>

To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:

Starting from the last step before the missing step, we have:

-18=-\sqrt{0.042x+16}

In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.

We must remember the following properties:

\sqrt{a^{m} }=a^{\frac{m}{2}}\\\\(a^{b})^{c}=a^{b*c}

Now, finding the missing step, we need to find what to do in order to get the expression of the following step.

So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:

-18=-\sqrt{0.042x+16}\\\\(-18)^{2} =(-\sqrt{0.042x+16})^{2} \\324=0.042x+16\\324-16=0.042x\\\\x=\frac{304}{0.042}=7333

Hence, we found the the missing step is:

D. 324=0.042x+16

Have a nice day!

4 0
3 years ago
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