hi tAnswer:hey
Step-by-step explanation:
Answer:
When the ticket price is $3 or $4 the production will be in break even
Step-by-step explanation:
<u><em>The correct question is</em></u>
The revenue function for a production by a theatre group is R(t) = -50t^2 + 300t where t is the ticket price in dollars. The cost function for the production is C(t) = 600-50t. Determine the ticket price that will allow the production to break even
we know that
Break even is when the profit is equal to zero
That means
The cost is equal to the revenue
we have
Equate the cost and the revenue
solve for t
Solve the quadratic equation by graphing
using a graphing tool
the solution is t=3 and t=4
see the attached figure
therefore
When the ticket price is $3 or $4 the production will be in break even
You have the correct approximate value of k. The part after that is where things get a bit strange.
You don't plug in t = 5 again. We don't know the value of t yet. We're trying to solve for it.
We do know u(t) is 135 as we want the temperature to be 135 degrees. Plug this in and isolate t.
So
u(t) = 70+380e^(-0.1004183888t)
135 = 70+380e^(-0.1004183888t)
135-70 = 380e^(-0.1004183888t)
65 = 380e^(-0.1004183888t)
380e^(-0.1004183888t) = 65
e^(-0.1004183888t) = 65/380
e^(-0.1004183888t) = 13/76
-0.1004183888t = ln(13/76)
-0.1004183888t = -1.7657839828248
t = -1.7657839828248/(-0.1004183888)
t = 17.5842692152893
So it takes about 17.58 minutes for the item to cool to the desired temp
You simply have to take the linear equation form (ax + by = c) and solve for y. So you get:
by = c - ax
y = c/b - ax/b
Since c/b will be a constant, you can replace it with any variable (i.e. b), and so that represents the y-intercept and a/b will also be a constant, so that can also be replaced by any variable (i.e. m), and it represents the slope.
Answer:
Angles in a triangle add up to 180 degrees because triangles are have the measure and sizes of quadrilaterals, which have an angle measure of 360 degrees. If you divide 360 degrees by 2, you will get 180 degrees.
Step-by-step explanation:
Hope that helps!
