Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.
To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:
p '(t) = 2t + 5 = 0
Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.
Answer: C
Step-by-step explanation:
Answer:
cost of a box is $3.5
Step-by-step explanation:
given data
sold box = 18
earned = $136.50
solution
we consider here number of boxes of cookies is x
and
for we get Tyler sold cookies box so number of boxes we divide 702 cookies among 18 is
Tyler sold = 
Tyler sold = 39 boxes
and
now we consider here y as cost of each box of cookies,
so for cost or sale price of the cookie boxes here we divided 136.50 dollars among 39 boxes
so
cost of each box = 
cost of each box = 3.5
Thus, the cost of each box was 3.5
Solution
For this case we can use the following formula:

Where:
P= 400800 = present value
A= future value
r= 0.055 interest rate
n= 4, number of times that the interest is compund in a year (quarterly)
t= 4 years
Replacing we got:

then the interest would be: