The total weekly pay of the company is $754.98
What is total hours worked for the week?
The overtime is the excess of total hours, which is 47 hours, over the regular hours of 40 hours of work a week, in essence, overtime hours is 7(47-40)
Overtime rate=regular hour pay*1.5
regular hour pay=$14.95
overtime rate=$14.95*1.5
overtime rate=$22.425
overtime pay for 7 hours=7*$22.425
overtime pay for 7 hours=$156.98
The regular pay is 40 hours of regular time multiplied regular pay per hour
regular pay=$14.95*40
regular pay=$598.00
total pay=regular pay+overtime
total pay=$598.00+$156.98
total pay=$754.98
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P(x) = 12x – 180
Given:
A company makes and sells charm bracelets.
The cost of producing x bracelets is represented by the function C(x) = 180 +
8x
The revenue earned from selling x bracelets is represented by the function
R(x) = 20x.
Explanation of terms:
For x bracelets,
Cost of production is C(x); C(x) = 180 + 8x
Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown
Profit made = Revenue earned – Cost of production
∴ P(x) = R(x) – C(x)
P(x) = 20x – (180 + 8x)
P(x) = 20x – 180 – 8x
P(x) = 12x – 180
The profit made from selling x bracelets is represented by the function
<em> P(x) = 12x – 180</em>
Step-by-step explanation:
3 x^3-15x^2+18x 3(x^3-5x^2+6x)
Answer:
3x^2
Step-by-step explanation:
3x^2 can be factored out of each
-6x^2 = 3x^2(-2)
21x^3 = 3x^2(7x)
Notice that half of the coefficient of x is (1/2)(-4), or -2.
Then x^2 - 4x becomes
x^2 - 4x + 4 - 4 = 0, or (x -2)^2 = 4. Then x = -2 plus or minus 2, and the two roots are 0 and -4.
Thus, add 4 to both sides to obtain x^2 - 4x + 4 = 4.
