Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes. After about how many hours does the company break even? Note: The phrase break even refers to the value where the two functions are equivalent.

5 hours

Step-by-step explanation:

Given

--- Revenue

--- Overhead cost

Required

Determine the hours for break even

To do this, we simply equate both expressions as follows:

Collect Like Terms

Divide through 24

Expand:

Factorize:

But x can't be negative because it represents time.

So, x = 5 hours

answer: 43/157

this is the answer and if you try to prove me wrong your a meanie

step-by-step explanation: a reaction is first order. if the initial reactant concentration is 0.0200 m, and 25.0 days later the concentration is 6.25 x 10-4 m, then its half-life is: