Sally's high school is planning their spring musical. The revenue, R, generated can be determined by the function R(t)=-33t^2+360t , where t represents the price of a ticket. The production cost, C, of the musical is represented by the function C(t) = 700+5t. What is the highest ticket price, to the nearest dollar, they can charge in order to not lose money on the event?​

t=8

Step-by-step explanation:

9514 1404 393

  -14.5

Step-by-step explanation:

Let the number be represented by x.

  176.9/x . . . . the quotient of some number divided into 176.9

  4(176.9/x) . . . . the quotient multiplied by 4

  10.2 + 4(176.9/x) . . . . the product added to 10.2

And that totals -38.6:

  -38.6 = 10.2 +4(176.9/x)

Solution

  -48.8 = 4(176.9/x) . . . . subtract 10.2

  -12.2 = 176.9/x . . . . . . . divide by 4

  x = 176.9/(-12.2) . . . . . multiply by x/-12.2

  x = -14.5 . . . . . . . . . . . finish the division

The initial number is -14.5.