The way you find profit is to subtract the revenue and the cost
Profit = Revenue - Cost
The revenue is the amount of money coming in, the cost is the amount of money going out. The goal of course is to have the revenue larger than the cost so that the profit is positive.
So the equation given is
P = 7.5n - (2.25n+15)
and its in the form
P = R - C
where...
R = 7.5n is the revenue equation
C = 2.25n+15 is the cost equation
Focus on the revenue equation
R = 7.5n
which is the same as
R = 7.50*n
This tells us that Sandra pulls in a total of 7.50*n dollars where n is some positive whole number. It represents the number of necklaces sold. For example, if she sold n = 10 necklaces, then
R = 7.50*n
R = 7.50*10
R = 750
meaning that Sandra has made $750 in revenue
As you can see above, the revenue is computed by multiplying the price per necklace ($7.50) by the number of necklaces sold (n) to get R = 7.50*n
So that's why the answer is $7.50
Note: The 2.25 is part of the cost equation. This is known as the variable cost. It is the cost to make one necklace ignoring the fixed cost (eg: rent). The variable cost often doesn't stay the same, but algebra textbooks often simplify this aspect.
<h3>
Answer: 79 full rotations</h3>
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Explanation:
150 cm = 150/100 = 1.5 m
The wheel has a diameter of 1.5 meters
The circumference of the wheel is
C = pi*d
C = pi*1.5
C = 1.5pi
C = 4.71238898038469
I'm using my calculator's stored version of pi to get the most accuracy.
Then we divide the 376.8 over the circumference found
(376.8)/(4.71238898038469) = 79.9594434093682
Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.
Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.
Answer:
161.3000
Step-by-step explanation:
♡ The Question ♡
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Which of the following is equivalent to the power shown below? 8^4
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☆ The Answer ☆
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Your answer should be C!
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♡ The Explanation/Step-By-Step ♡
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When your power is being shown as 8^4, this can be represented as 'Eight four times.' This means it could be, 8, 8, 8, 8. Hope this helps!
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☆ Tips ☆
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No tips provided!
The rule for differentiation for variable with exponents has the formula:
d/dx (xⁿ) = nxⁿ⁻¹
where n is the exponent
Thus, for the given equation, the solution is as follows:
y = 2x²
dy/dx = 2(2)x²⁻¹ = <em>4x
Thus, the derived equation of the given would now be 4x.</em>
