The value of Jennifer's stock portfolio (in dollars) is given by the function f(t) = -3t +72t + 5000, where t is the time in months since she opened the account. After how many months will her portfolio be at a maximum? What is the maximum value of the portfolio?
Answers
Answer:
a) The portfolio will be at maximum after 12 months (1 year)
b) The maximum value of the portfolio is $5432
Step-by-step explanation:
The function that models Jennifer's stock portfolio (in dollars) is , where t is the time in months since she opened the account.
We complete the square to obtain this function in vertex form:
Factor -3 from the first two terms
.
Add the zero pairs -3(+144),-3(-144)
.
Factor the perfect square trinomial and simplify.
.
The vertex of this function is (h,k)=(12,5432)
a) The portfolio will be at maximum when t=12, the h-value of the vertex
b) The maximum value of the portfolio is the k-value of the vertex which is 5432
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In a game for 24 groups, the average number of children was 16. When one more group of children was formed to join in the game, the average number of children became 18. The number of boys to girls who had just joined in the game was in the ratio 5:6. If there were 220 boys at first, how many more boys than girls were in the end?
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Y=tan(x-30) period and amplitude
negative
It depends on the higher number.
There is not enough information
Answers
basically
negative means change sign
positive means do nothing
change sign times do nothing=change sign=negative
basically
(+)(+)=(+)
(-)(-)=(-)
(+)(-)=(-)
(-)(+)=(-)
and
(+)/(+)=(+)
(-)/(-)=(-)
(+)/(-)=(-)
(-)/(+)=(-)
answer is negative
Answers
Answer:
First turn any mixed numbers into improper fractions. 1 3/4 would be 7/4. Becuase you multiply the whole number by the denominator and then add the numerator.
So now you have 7/4 divided by 2/5. Whenever you divide, you flip the 2nd fraction upside down... known as the reciprocal. And after that you multiply the first number by the upside down 2nd number.
So now you have 7/4 X 5/2. When multiplying, just multiply the numerators across and the denominators across. As your answer, you get 35/8 or 4 3/8.
Step-by-step explanation:
Answer:
35/8 or 4 3/8
Step-by-step explanation:
whatever works for you. but when you use a caucalater you get 35/8.
If f(x) = 2x+3 and g(x) = x^2+x/2 - 7 then find (f+g)(x)
Answers
Answer:
x2+5x/2 -4
Step-by-step explanation:
f(x) = 2x+3 and g(x) = x^(2)+(x)/(2) - 7 , what is (f+g)(x)
x^2+5x/2-4
Answers
Answer:
(-2, -1).
Step-by-step explanation:
When trying to find the solution to a system of equations graphically, all you need to do is find the point of intersection between the two equations.
In the graph pictured, we can see that the two equations intersect at (-2,-1).
Answers
Answer:
It is 22.5
Step-by-step explanation:
add up all they shaded parts:
22.5 x 4 = 90 degrees
as each unshaded part is three times more then you do 22.5 x 3 for one part
22.5 x 3 = 67.5 degrees
then times by four because there is four unshaded sections.
67.5 x 4 = 270 degrees
270 + 90 = 360 degrees and there is 360 degrees in a circle so 22.5 degrees is the correct answer.
Answer:
22.5
Step-by-step explanation:
cause
Answers
Answer: n=3
Step-by-step explanation: took on edg