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.
1 fourth which as a fraction would look like:
1
-
4
Answer:
d
Step-by-step explanation:
A(n) = 1 - 0.1(n-1)
A(1) = 1- 0.1*(1-1) = 1 - 0.1*0 = 1
A(2) = 1- 0.1*(2-1) = 1 - 0.1*1 = 1- 0.1 = 0.9
A(3) = 1 - 0.1(3-1) = 1 - 0.1*2 = 1-0.2=0.8
Method:
A(1)=1
D = A(2)-A(1) = 0.9 - 1 = -0.1
A(n) = A(1)+(n-1)*d = 1 + (n-1)*(-0.1)
= 1 - 0.1(n -1)
