A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
Answer:
principal (p)=$35000
time(t)=8years
rate ( r)=7%
Step-by-step explanation:
- compounded amount(c.a)=p((1+r/100)^t )=$35000((1+7/100)^8)=$60136.5
- compound interest gain=$60136.5-$35000=$25136.5
- Karl gain interest in 1 year=$35000((1+7/100)-1)=$2450
- gain % in 1 year=$2450/$25136.5×100%=9.74%
The answer is B due to the corresponding 130
3 is the answer. 3 X 3 = 9
I'm glad I could help
