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Natasha_Volkova [10]
3 years ago
5

Peter works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. Last month, he worked

30 hours during the first week, 40 hours during the second week, 49 hours during the third week, and 55 hours during the fourth week. If his total sales were $4,500 on the first week, $5,550 on the second week, $3,800 on the third week, and $6,800 on the fourth week, how much money did he make last month? Please keep in mind that if he works over 40 hours during any week, he earns double his hourly wage
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
5 0

Answer:

$10,318.62

Step-by-step explanation:

We have been given that works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. If he works over 40 hours during any week, he earns double his hourly wage.

Peter's hourly charges during 1st and 2nd week would be $33.19 and hourly charges during 3rd and 4th week would be 2 times $33.19.

First of all, we will find total hourly income as:

\text{Total hourly income}=\$33.19(30+40)+2\times \$33.19(49+55)

\text{Total hourly income}=\$33.19(70)+\$66.38(104)

\text{Total hourly income}=\$2323.3+\$6903.52

\text{Total hourly income}=\$9226.82

Now, we will find income from commission on sales as:

\text{Income from commission on sales}=\frac{5.3}{100}(4500+5500+3800+6800)

\text{Income from commission on sales}=0.053(20600)

\text{Income from commission on sales}=1091.8

Peter's total earnings is the last month: \$9226.82+\$1091.8=\$10,318.62

Therefore, Peter's total earnings in last month was $10,318.62.

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Vsevolod [243]

Since Area equals length times width

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The height is 15 so if you add it its 30


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3 years ago
Find the total surface area of the prism. geometry hw. plz help me
tia_tia [17]

Answer:

152

Step-by-step explanation:

Hello there!

The prism shown is a triangular prism

There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one

Formula: SA = bh + L(s1 + s2 + s3) (found in the image)

b = base length

h = height

L = length

s1 = (same thing as the base length)

s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)

The triangular prism has the following dimensions

b = 6

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L = 8

s2 and s3 = 5

Now that we have identified each dimension we plug in the values into the formula

SA = 6*4 + 8(6+5+5)

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8*6=48

8*5=40

40*2=80

80+48=128

128 + 24 = 152 so the surface area of the triangular prism is 152 cm²

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Step-by-step explanation:

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