Since the limit becomes the undetermined form
it means that both polynomials have a root at 
. So, we can fact both numerator and denominator:
So, the fraction becomes
Now, as x approaches 1, you have no problems anymore:
Profit = Income - cost
Profit = 10s - (28 + 3s) = 10s - 28 -3s = 7s - 28.
Profit = 0
0 = 7s - 28
7s = 28
7s = 28/7
s = 4. This is the breakeven point.
Carlota must sell more than 4 shirts to make a profit
Answer:
9 and 4/5
Step-by-step explanation:
Answer:
y = -5/2x - 13
Step-by-step explanation:
First, we have to find the slope of the original equation
Subtract 5x from both sides
5x + 2y = 1
- 5x - 5x
2y = -5x + 1
Divide both sides by 2
2y/2 = (-5x + 1)/2
y = -5/2x + 1/2
The slope of this equation is -5/2, so -5/2 has to be in our new parallel equation
y = -5/2x + b
Plug in the given x and y
-3 = -5/2(-2) + b
-3 = 10 + b
Subtract 10 from both sides
-3 = 10 + b
- 10 - 10
b = -13
This makes our equation: y = -5/2x - 13
The answer:
it would take 9 years for the account to grow to $12,700
the steps:
10,000 x .03 = 300
2,700 divided by 300 is 9
