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Tamiku [17]
4 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]4 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]4 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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Year     Population

1              11,920

2              16,800

3              23,300

4              33,000

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Substitute the values

11920=A _0 e ^{k}  ---1\\16800 = A_0 e^{2k} ---2

Divide 1 and 2

\frac{11920}{16800}=\frac{e^k}{e^{2k}}\\\frac{11920}{16800}=e^{k-2k}\\ln(\frac{11920}{16800})=-k\\k=-1 ln(\frac{11920}{16800})\\k=0.3432\\A_0=y_1 e^{-k t_1}\\A_0=11920 e^{-0.3432}\\A_0=8457.5238

The exponential function that passes through the points (1, 11920) and (2, 16800) isy=8457.5238 e^{0.3432t}

Now we are supposed to find  the best prediction for  the number of years it will take for the population to reach 200,000

200000=8457.5238 e^{0.3432t}

\frac{200000}{8457.5238}=e^{0.3432t}

ln(\frac{200000}{8457.5238})=0.3432t

t = 9.41

Hence the best prediction for  the number of years it will take for the population to reach 200,000 is 9.41

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