1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kvasek [131]
3 years ago
14

Quick Fix Inc. repairs bikes. The company’s revenue is modeled by the function R(h)=220h−160 for every h hours spent repairing b

ikes. The company’s overhead cost is modeled by the function C(h)=20h^2−400.
After how many hours does the company break even?
Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0
The break-even point is when revenue, R(h) is the same as cost, C(h).
R(h)=C(h)
220h-160 = 20h²-400
Gather all the variables on one side by subtracting 220h:
220h-160-220h = 20h²-400-220h
-160=20h²-220h-400 (we can move these around so long as we take their respective signs with them)
We want our quadratic equation to equal 0 to solve it, so add 160 to both sides:
-160+160=20h²-220h-400+160
0=20h²-220h-240
All 3 terms of this quadratic are divisible by 20, we can factor 20 out:
0 = 20(h² - 11h - 12)
The quadratic that is left is easily factorable.  We want factors of -12 that sum to -11; that would give us -12*1, because -12+1 = -11.  Thus we have
0 = 20(h - 12)(h + 1)
Using the zero product property, we know that one of the factors must be 0 in order for the product to be 0.  20 ≠ 0, so it must be either h-12 or h+1:
h-12 = 0
Add 12 to both sides:
h - 12 + 12 = 0 + 12
h = 12

h+1 = 0
Subtract 1 from both sides:
h + 1 - 1 = 0 - 1
h = -1

Since a negative number of hours is not realistic, the answer must be h = 12 hours.
You might be interested in
I need help really bad I'm gonna give 25 points who helps me
Feliz [49]
I hope this helps you

6 0
3 years ago
Simplify 15(2/5+1 1/3)+3
loris [4]
So for order of operations you start inside the parentheses and in order to add the insides you will need a common denominator which would be 15 on the bottom. So for 2/5 it would be 6/15 and for 11/3 would be 55/15 and then added together it would be 61/15. so then you would multiply and get 15(61/15). the 15 in the numerator will cancel with the denominator leaving only 61 and then the final step would be adding the 3 to 61 and the final answer will be 64
8 0
3 years ago
Read 2 more answers
Miss smith’s pay is directly proportional to the number of hours she work at the airport. Her pay for 22 hours is $297.How much
inna [77]

Answer:

$540

Step-by-step explanation:

You need first to calculate the hour rate that is payment divided to total number of hours done.

297/22 = 13.5

Now we know that she is earning $13.5/1 hour

We just need to multiply by 22 hours and we have 13.5*22 = $540

3 0
3 years ago
Read 2 more answers
(PLEASE HELP) What is the area of a circle with a radius of 8 units
ladessa [460]

Answer:

A = 64π units = about 201.06 units

Step-by-step explanation:

The formula for area is

A = πr^2, where r=radius.

Plug in our radius to get the area!

A = π8^2

<u>A = 64π = about 201.06 units</u>

8 0
3 years ago
Read 2 more answers
What is 1+1? lol i know it’s 2
bogdanovich [222]
Lol I'll just comment to get 5 points
7 0
3 years ago
Other questions:
  • Among all pairs of numbers (x,y) such that 3x+y=15, find the pair for which the sum of squares, x^2+y^2, is minimum. Write your
    12·1 answer
  • In a songwriting competition, the minimum length of a song is 2.5 minutes. The maximum length of a song is 5.5 minutes. Write an
    10·2 answers
  • The owner of a video game store creates the expression −2x2 + 28x + 20 to represent the store's weekly profit in dollars, where
    6·1 answer
  • Can someone help geometry is confusing
    6·1 answer
  • The mass of the electron is
    12·1 answer
  • When both parties discuss the terms of a contract, they are ____
    15·2 answers
  • Caleb earns points on his credit card that he uses toward future puchases. He earns four points per dollar spent on flights, two
    6·1 answer
  • #1: Simplify the expression -3 (2x + 6) using the distributive property.
    14·1 answer
  • Any help please I appreciate it
    14·1 answer
  • Malik randomly picked two different numbers from 1 to 9. The first one was odd. What is the probability that Malik picked a seco
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!