We conclude that the profit if the company produces 10 units is 1,040 dollars.
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How to find the profit?</h3>
The profit is defined as the difference between the revenue and the costs.
In this case, we know that the revenue and costs are defined by:
R(x) = 200x - 5x^2
C(x) = 360 + 6x
Then the profit equation is:
P(x) = R(x) - C(x).
P(x) = 200x - 5x^2 - (360 + 6x)
P(x) = -5x^2 + 194x - 360
Now we want to find the profit when x = 10, then we will get:
p(10) = -5*10^2 + 194*10 - 360 = 1,040
We conclude that the profit if the company produces 10 units is 1,040 dollars.
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The system of equations is
n + d = 27
n + 5d = 55
Step-by-step explanation:
The given is:
- Kiran has 27 nickels and quarters in his pocket
- They worth a total of $2.75
- We need to write a system of equations to represent the relationships between the number of nickels n, the number of quarters d, and the dollar amount in this situation
∵ The number of nickles is n
∵ The number of quarters is d
∵ There are 27 nickles and quarters
∴ n + d = 27 ⇒ (1)
∵ 1 nickel = 5 cents
∵ 1 quarter = 25 cents
- Multiply n by 5 and d by 25 to find their value
∴ They worth = 5n + 25d
∵ They worth a total of $2.75
- Chang the dollar to cent
∵ 1 dollar = 100 cents
∴ $2.75 = 2.75 × 100 = 275 cents
- Equate their value by 275
∴ 5n + 25d = 275
- Simplify it by divide each term by 5
∴ n + 5d = 55 ⇒ (2)
The system of equations is
n + d = 27
n + 5d = 55
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4^1 = 4
4^2 = 16
4^3 = 64
<span>4^4 = 256</span>
Is 0.14 equivalent to a. 8/12, b. 5/8, c. 2/3, d. 7/50, e. 4/5, f. 5/3, g. 19/25, h. 1/3, i. 2/9, j. 1/33, k. 4/9
aivan3 [116]
Answer:
7/50
Step-by-step explanation:
7 divided by 50 equals 0.14 in decimal format.
To take a root of a faction take the rootof the numerator and denominator separtly 2x over(divided by) square root with 3y in it then youranswer should be 2x square root with 3y in it over 3y
