Answer:
Rent each month = $1421
Amount left after rent and taxes monthly = $2453
Step-by-step explanation:
Gross salary; $61,992 per year
His gross pay per month will be;
61992/12 = $5166
Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.
Now, let's adopt an average of 27.5%
Thus;
Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421
We are told he pays 25% of his gross monthly income in federal and state taxes.
Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292
Thus, amount he will gave left after rent and taxes = 5166 - (1421 + 1292) = $2453
Answer:
The length of the side of the triangle is 10 inches.
Step-by-step explanation:
Let p = perimeter of the equilateral triangle
Let P = perimeter of the square
Let s = length of side of the triangle
Let S = length of side of the square
"The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square"
p = P + 6 Equation 1
"the side of the triangle is 4 inches longer than the side of the square"
s = S + 4 Equation 2
We have 2 equations and 4 unknowns. We need two more equations. We use the definition of perimeter to get the other two equations.
For an equilateral triangle,
p = 3s Equation 3
For a square,
P = 4S Equation 4
Substitute p and P of Equation 1 with equations 3 and 4. Then write equation 2.
3s + 4S = 6
s = S + 4
Now we have a system of 2 equations in 2 unknowns. We can solve for s and S. We can use the substitution method. Solve the second equation for S.
S = 4 - s
Substitute S = 4 - s into equation 3s + 4S = 6.
3s + 4(4 - s) = 6
3s + 16 - 4s = 6
-s = -10
s = 10
Answer: The length of the side of the triangle is 10 inches.
Answer: 10.63
Step-by-step explanation:
Using the distance formula, you insert the coordinates into their respective places. Seven minus zero equals seven, and negative two minus six is negative eight. Then you have to square those, making it equal 49 plus 64. Add them together, then square root it.
11/8 = x / 3
cross multiply
8x = 11 * 3
8x = 33
x =33/8
x = 4.125
x = 4.1 (round to nearest tenth)
Answer
B: 4.1 ft
The amount of money Jade and chet will have to purchase the app is $11.6
<h3>How to solve equation?</h3>
- Jade = 8 + 2x
- Chet = 4x + 6
Where,
x = $2.50
Amount each earned:
Jade = 8 + 2x
= 8 + 2(2.50)
= 8 + 5
= $13
Chet = 4x + 6
= 4(2.50) + 6
= 10 + 6
= $16
Combined earnings = $13 + $16
= $29
Amount planned to save = 40% of combined earnings
= 40% × $29
= 0.4 × 29
= $11.6
Learn more about equation:
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