Answer:
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.
<em>So, x = 5 hours</em>
Answer:
a) 1/8
b) 1/9
c) 1/10,000
Step-by-step explanation:
When a number is raised to a negative exponent, that means that the answer will be less than one. The format is:
x^-y = 1/x^y (i apologize, exponents on here are really messy)
Ok so for a, you get 1/2^3. 2^3 = 8, so your resulting fraction is 1/8
b). 1/3^2. 3^2 = 9, so your resulting fraction is 1/9
c). 1/10^4. 10^4 = 10,000, so your resulting fraction is 1/10,000.
Sorry fractions and exponents don't work well on my computer. Hope this helps!
I think it’s y = (x + 5)² - 9
Hope it helps!!!
Answer:
$5.24
Step-by-step explanation:
First, we need to find how many of each coin type we have. For pennies and dimes, we can take the percentage and divide by two for the number of coins.
18 / 2 = 9 pennies
36 / 2 = 18 dimes
We also know that there are three more nickels than there are dimes.
9 + 3 = 12 nickels
We can subtract the total number of nickels, pennies, and dimes from the total number of coins to get the number of quarters.
50 - 39 = 11 quarters
Then, we do the math to find the value.
9 x 0.01 = 0.09
18 x 0.10 = 1.80
12 x 0.05 = 0.60
11 x 0.25 = 2.75
2.75 + 1.80 + 0.60 + 0.09 = $5.24
