Answer:
n = 150
Step-by-step explanation:
If n is the number of T-shirt sell each month, then the revenue function of Sophia's store is r = 21n .......... (1)
and the cost function of her store is C = 16n + 750 ........ (2)
Now, at break-even point, the revenue of a business is equal to its cost.
Therefore, r = C
{From equations (1) and (2)}
⇒ 21n = 16n + 750
⇒ 5n = 750
⇒ n = 150
So, the break-even point of the store will occur when the number of T-shirt production is 150. (Answer)
The function is f(x) = 9,000(0.95)x<span>
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Answer:
11.8294Step-by-step explanation:
Answer:
y=5x+3
Step-by-step explanation:
Hi there!
We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
Since we're already given the slope, we can substitute that immediately into the equation
here it is so far:
y=5x+b
now we need to solve for b
Since the line will pass through the point (-1,-2), we can use it to solve for b
substitute -1 as x and -2 as y into the equation
-2=5(-1)+b
multiply
-2=-5+b
add 5 to both sides
3=b
substitute that into the equation
therefore, the equation of the line is <u>y=5x+3</u>
Hope this helps! :)
