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Andrei [34K]
3 years ago
8

A salesman receives a fixed salary of $500 per week. In addition he is paid 12% of all sales over $1000. Write the formula that

describes how his weekly salary, s, depends on his weekly revenue, r. (The revenue is the amount of money he collects by selling the goods.)
Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

s = 500 + .12(r - 1000)

Step-by-step explanation:

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r = 5y/8

Step-by-step explanation:

isolate the variable by dividing each side by factors that contain the variable.

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Mrs. Austin teaches forty-eight students. One-third of her students are out sick with the flu. How many students are sick?
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16 of the students are sick. How I got this was, divide 48 by 3 and you get 16 therefore 1/3 of 48 is 16.
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Subtract 5a-6b+7c from 13a-4b+8c
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Step-by-step explanation:

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3 years ago
At a sale this week, a suit is being sold for $296.40. This is a 62% discount from the original price. What was the original pri
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Read 2 more answers
What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi
Sphinxa [80]

Answer:

15,000\:\mathrm{mm^3}

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by V=s^2\cdot h, where s is the base length and h is the height. Substituting given values, we have: V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}

The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

Substituting given values, we get:

V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}

Therefore, the total volume of the composite figure is 5,880+9,120=\boxed{15,000\:\mathrm{mm^3}} (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

8 0
2 years ago
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