Answer:
The maximum height is 46.64 feet.
Step-by-step explanation:
If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.
So, we have the function h(t):

Taking the derivative, we have:

Now, we solve it for t:

Finally, we put this value of t into the original equation.

Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.
I hope it helps you!
Answer:
Step-by-step explanation:
The demand function is expressed as
D(p )=1150-50p
The supply function is expressed as S(p)=−200 + 40p
Where
p represents the price
A) The equilibrium price is the price at which the quantity supplied and the quantity demanded would be equal. Therefore
1150 - 50p = - 200 + 40p
40p + 50p = 1150 + 200
90p = 1350
p = 1350/90
p = 15
The equilibrium price is $15
b) For quantity demanded to be greater than quantity supplied, the price would be
1150 - 50p > - 200 + 40p
40p + 50p > 1150 + 200
90p > 1350
p > 1350/90
p > 15
The price would be greater than 15
c) if the quantity demanded is greater than the quantity supplied, the prices of the T shirt would increase.
Start by writing all of the pairs of numbers that go into 60
1 60
2 30
3 20
4 15
5 12
6 10
Then, look for the pair that has a difference of seven between the two numbers.
Your numbers are 5 and 12
The opposite sides are equal in length.
Step-by-step explanation:
Opposite sides of a parallelogram must be congruent. This is a property of all parralelograms.
Answer:
The answer would be 13
Step-by-step explanation:
if you do 5 sq. plus 12 sq. you get 169 and square root of 169 is 13.