Answer:
It depends.
Step-by-step explanation:
For 6 years:
On average, you would have to be profiting:
per year
For 4 years:
On average, you would have to be profiting:
per year.
It would be better to have the longer term option - although you will be paying off more in total, you would be paying off a smaller portion of your earnings.
However, you may want to pay off the loan faster as you would no longer have to worry about it, and it would be cheaper to pay off over the shorter period.
Answer:
f(g(-4)) = 13.
g(f(-4)) = -3.
Step-by-step explanation:
g(-4) = (-4)^2 + 3(-4) - 1
= 3.
so f(g(-4))
= f(3)
= 2(3) + 7
= 13.
f(-4) = 2(-4) + 7
= -1.
so g (f(-4))
= g(-1)
= (-1)^2 - 3 - 1
= -3.
Answer:
$7,562.5
Step-by-step explanation:
Given the function of the profit earned expressed as;
<em>f(p) =-40p^2+1100p</em>
To maximize the profit, df(p)/dp must be sero
df(p)/dp = -80p + 1100 = 0
-80p + 1100 = 0
-80p = - 1100
p = 1100/80
p = 13.75
Substitute p = 13.75 into the function
f(13.75) =-40(13.75)^2+1100(13.75)
f(13.75) = -7,562.5+15,125
f(13.75) = 7,562.5
Hence the symphony should charge $7,562.5 to maximize the profit.
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1 1/2 + 1 1/2 & 1 3/4 + 1 1/4
