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lbvjy [14]
2 years ago
10

Ryleigh receives her pay monthly. Her deductions include $112 in Federal Income Tax, State Tax of 3.5% of gross, City Tax of 2.5

% of gross, as well as Social Security and Medicare taxes. This month her paycheck is $5,161.28. What is Ryleigh's monthly gross pay?
Mathematics
2 answers:
vodka [1.7K]2 years ago
8 0

9514 1404 393

Answer:

  $6,106.87

Step-by-step explanation:

The total of percentage deductions is ...

  state tax + city tax + social security + medicare

  = 3.5% +2.5% +6.2% +1.45% = 13.65%

Then Ryleigh's take-home pay is ...

  gross(1 -13.65%) -112 = 5161.28

  gross = (5161.28 +112)/0.8635 = 6106.87

Ryleigh's monthly gross is $6,106.87.

AlladinOne [14]2 years ago
6 0

Answer:

<h2>Hey!! ✿</h2>

Step-by-step explanation:

<h2><em>  ₜₕₑ ₐₙₛwₑᵣ ᵢₛ   $₆,₁₀₆.₈₇!! ᵢ ₘᵢgₕₜ bₑ ₗₐₜₑ ᵢ'ₘ ₛₒ ₛₒᵣᵣy ♥</em></h2>

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cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of
exis [7]

Answer:

The smallest amount is \£6,911

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ A=\£8,000\\ r=5\%=5/100=0.05\\n=1  

substitute in the formula above

8,000=P(1+\frac{0.05}{1})^{1*3}  

solve for P

8,000=P(1.05)^{3}  

P=8,000/(1.05)^{3}  

P=\£6,910.70  

Round to the nearest pound she can invest

The smallest amount is \£6,911

6 0
3 years ago
A rocket is launched from the top of a 99-foot cliff with an initial velocity of 122 ft/s.
Harman [31]
Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:
0=-16 t^{2} +122t+99
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
-99=-16 t^{2} +122t+99
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Now we can apply the quadratic formula t= \frac{-b+or- \sqrt{ b^{2} -4ac} }{2a} where a=-16, b=122, and c=198
t= \frac{-122+or- \sqrt{ 122^{2}-(4)(-16)(198) } }{(2)(-16)}
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Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
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3 years ago
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What is the slope of the line that passed through (3,-4) and (4,9)
Advocard [28]

Step-by-step explanation:

<u>Step 1:  Find the slope</u>

<u />m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{9-(-4)}{4-3}

m =\frac{9+4}{1}

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