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)
Answer:
x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049
Step-by-step explanation:
Greetings !
Given expression

write 5 as a sum



Use (a+b)³=a³+3a²b+b³ to expand the expression

Use (a+b)²=a²+2ab+b² to the second expression to expand it

Finally, simplify the expression gives

Hope it helps!
Answer:
It is correct according to the laws
S1 = 72
S2 = 12 = 72*(1/6)
S3 = 2 = 72*(1/6)^2
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.
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S15 = 72*(1/6)^14 = 9.18*10^(-10)