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.
Answer:
(-3,5)
Step-by-step explanation:
When you reflect over the x axis, the y value's sign changes.
So we have:
-3,5
20% = 0.20
800 * 1.20 = 960
total cost = £960
Answer:
Yes, ΔBAC ≅ ΔLMN
Step-by-step explanation:
BA = LM
AC = MN
BC = LN
ΔBAC ≅ ΔLMN {Side Side Side congruence}
Answer:
1/3 of the original
Step-by-step explanation:
As an an object is scaled up with the same proportions, one might think ts strength to weight ratio scales up with it. However, since the object as it scales greater in size also increases in weight, the strength to weight ratio actually decreases. If the elephant is scaled up 3 times, then its strength to weight ratio is divided by the same amount and is 1/3 the original or 1/3 as much.
