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kap26 [50]
3 years ago
8

Alicia earns $20 per hour, of which 1.45 percent is deducted to pay local taxes. How many cents per hour of Alicia's wages are u

sed to pay local taxes?​
Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

Answer:

$0.29 per hour

Step-by-step explanation:

To deduct 1.45% from $20 per hour you must multiply it.

So 20x0.0145=0.29

So the taxes take 29 cents per hour

To know what she earns with the tax reduction in place you subtract what they reduce from the $20 she earns

This means that with tax deduction she earns $19.71 per hour

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For f(x)=13^x,find f(3/2)
tekilochka [14]

Answer:

  f(3/2) = 13√13 ≈ 46.872167

Step-by-step explanation:

Put 3/2 where x is and evaluate.

  f(3/2) = 13^(3/2) = 13^(1 +1/2) = 13√13

  f(3/2) ≈ 46.872167

5 0
3 years ago
Starting at 7:00 a.m., Lin spent a day hiking through a canyon. This graph shows her elevation (in meters) at some different tim
ollegr [7]

Answer:

Sorry for my bad handwriting it's hard write in a computer

Step-by-step explanation:

5 0
2 years ago
Solve for x <br> 3(2)^3x+1
lubasha [3.4K]

Answer:

24

Step-by-step explanation:

the simplified version of this expression would be 24 x  +  1

5 0
3 years ago
A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo
katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the boxV=x^2z

Volume of the box=12 ft^3\\

Therefore, x^2z=12\\z=\frac{12}{x^2}

The material for the base costs \$0.17/ft^2, the material for the sides costs \$0.10/ft^2, and the material for the top costs \$0.13/ft^2.

Area of the base =x^2

Cost of the Base =\$0.17x^2

Area of the sides =4xz

Cost of the sides==\$0.10(4xz)

Area of the Top =x^2

Cost of the Base =\$0.13x^2

Total Cost, C(x,z) =0.17x^2+0.13x^2+0.10(4xz)

Substituting z=\frac{12}{x^2}

C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}

To minimize C(x), we solve for the derivative and obtain its critical point

C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2

Recall: z=\frac{12}{x^2}=\frac{12}{2^2}=3\\

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0
3 years ago
How do you find the area of a circle???
kotykmax [81]
The area of a circle is pi times the radius squared
5 0
3 years ago
Read 2 more answers
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