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Tamiku [17]
3 years ago
10

Randal builds and sells cabinets. When deciding what price to charge for a project, he considers the cost of materials and the t

ime he will spend on the project. (He charges $18 per hour of labor.) Then he adds 15 percent for operational costs. Andrea’s cabinets will require $2,125 of materials and 80 hours of labor. How much will Randal charge for Andrea’s cabinets?
Mathematics
2 answers:
LenaWriter [7]3 years ago
7 0

Answer:

Randal will charge $4099.75.

Step-by-step explanation:

Randal builds and sells cabinets.

He charges $18 per hour of labor. While pricing, he considers the cost of materials and the time he will spend on the project. Then he adds 15% for operational costs.

Andrea’s cabinets will require $2,125 of materials and 80 hours of labor.

So, total charges will be : 2125+80(18)=3565 dollars

Now 15% operational costs on $3565 is :

0.15\times3565=534.75 dollars

So, the total cost Randal will charge =3565+534.75=4099.75 dollars.

Therefore, Randal will charge $4099.75.

marta [7]3 years ago
6 0

Answer:

3781

Step-by-step explanation:

80 hours × $18=$1440 for labor. 1440+15%(1440×.15)=$216.00 + material cost=$2125

(2125.00+1440.00+216=3781)

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<u>Step-by-step explanation:</u>

Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL

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       23 = 4x - 37

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               = 3(15) + 23

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Next, draw a perpendicular bisector KN from K to KL. Thus, N is the midpoint of KL and ΔMNL is a right triangle.

  • Since N is the midpoint of KL and KL = 95, then NL = 47.5
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Use trig to solve for ∠L (which equals ∠K):

cos ∠L = \frac{adjacent}{hypotenuse}

cos ∠L = \frac{47.5}{68}

      ∠L = cos⁻¹ (\frac{47.5}{68})

      ∠L = 45.7  

Triangle sum Theorem:

∠K + ∠L + ∠M = 180°    

45.7 + 45.7 + ∠M = 180

       91.4     + ∠M = 180

                      ∠M = 88.6

       

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