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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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a) (ii) The two angles are vertical angles, so they are congruent.

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