2. f(x) = x - 2x² - 5 + 10x
=-2x² + 8x - 5
f'(x)= -4x + 8
4. y = 100(45x - 30 - 3x³ + 2x²)
= 100(-3x³ + 2x² + 45x -30)
= -300x³ + 200x² + 4500x - 3000
y' = -900x² + 400x + 4500
Answer:
219 employees
Step-by-step explanation:
3% of decreasing rate of employees per year is calculated thus:
In 9 years,
Therefore, the number of employees for a certain company where decreasing rate of employees is 3% and continued to decrease for 9 years; and 810 employees are currently working is 219 employees. By implication, 810 + 219 = 1029 employees were working in the company 9 years ago.
The expected value of health care without insurance is $437.25.
The expected value of health care with insurance is $1,636.40.
<h3>What are the expected values?</h3>
The expected values can be determined by multiplying the respective probabilities by its associated costs.
The expected value of health care without insurance
= (1 x 0) + (0.32 x 1050) + (0.45 x $225)
= $437.25
The expected value of health care with insurance
= (1 x 1580) + (0.32 x 75) + (0.45 x $72)
= $1,636.40
Thus, The expected value of health care without insurance is $437.25.
The expected value of health care with insurance is $1,636.40.
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