Peter is a college professor. His gross salary is

Kelly price sells college textbooks on commission. She gets 8 % on the first $7500 of sales, 16% on the next $7500 of sales, a

Solnce55 [7]

Answer:

The commission would be $ 920.

Step-by-step explanation:

Given,

Sales in 1997 = $ 9500,

Since, there is a commision of 8 % on the first $ 7500 of sales, 16% on the next $ 7500 of sales, and 20% on sales over $ 15,000,

If x represents the total sales,

Commission for x ≤ 7500 = 8% of x = 0.08x,

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of (x-7500)

= 600 + 0.16(x-7500),

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of 7500 + 20% of (x-15000)

= 600 + 1200 + 0.20(x-15000)

= 1800 + 0.20(x-15000)

Thus, the function that shows the given situation,

$f(x)=\left\{\begin{matrix}0.08x & x \leq 7500\\ 600+0.16(x-7500) & 7500 < x \leq 15000\\ 1800+0.20(x-15000) & 15000 < x\end{matrix}\right.$

Since, 9500 lies between 7500 and 15000,

Therefore, the commission would be,

f(9500)= 600 + 0.16(9500 - 7500) = 600 + 320 = $ 920

7 0

3 years ago

What is the slope of the line passed through the points ( 1, -5) and 4,1?

Allisa [31]

If you use the slope formula, the answer is m = 2

8 0

3 years ago

What is the equivalent factored form of 12x^4-42x^3-90x^2

Tanzania [10]

Factor the following:
12 x^4 - 42 x^3 - 90 x^2

Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)

Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)

Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)

4 0

3 years ago

Read 2 more answers

5x−4≥12 OR 12x+5≤−4 please answer asap and right and explain like im 5 how to solve OR problems ill give brainliest and a lot of

weeeeeb [17]

Answer: x>_3.2 OR x<_ -0.75

Step-by-step explanation: first break down your compound inequality. 5x-4>_12

You first cancel out your constants by adding 4 to both sides. Now you’re left with 5x>_16 then to cancel five you have to divide on both sides by five which equals to 3.2. Then, x>_ 3.2.

Next you do your second part, 12x+5<_-4

So first cancel out the constant of 5 by subtracting 5 on both sides, making the equation 12x<_-9. Now, you divide by 12 on both sides, making it -9/12. Which effectively is -0.75. Therefor, the answer being x<_ -0.75. Add the two together x>_3.2 OR x<_0.75

4 0

3 years ago

Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion rate is

harkovskaia [24]

Answer:

The answer is $97.35

Step-by-step explanation:

This because you would need to multiply 75x1.298 to get your answer and your conversion method is multiplying so your answer is $97.35

Hope this helps and have a great day!!

4 0

3 years ago

Read 2 more answers