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8090 [49]
3 years ago
11

A Campus Republicans fundraiser offers raffle tickets for $10 each. The prize for the raffle is a $425 television​ set, which mu

st be purchased with the proceeds from the ticket sales. Find a function that gives the​ profit/loss for the raffle as it varies with the number of tickets sold. How many tickets must be sold for the raffle sales to equal the cost of the​ prize?The equation used to model this situation is ____, where p is the profit in dollars and t is the number of tickets sold.____ tickets must be sold for the raffle sales to equal the cost of the prize. (Round up to the nearest whole number as needed)
Mathematics
1 answer:
Anon25 [30]3 years ago
8 0

Answer:

The profit equation would be: Profit = 10t - 425. To break even, 43 tickets must be sold, rounded up to the nearest whole number.

Step-by-step explanation:

Tickets = 10 * t, or $10 dollars per ticket

Prize = $425

Profit = (10 * t) - 425

Break-even is when the Function value would be Zero. This can be found by dividing the dollar amount by 10 to get 42.5 tickets or 43 tickets. After 43 tickets sold, the rest is profit.

The equation would be:

Profit = 10t - 425

A negative value would represent a net loss.

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In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10
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Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

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Then the area is ...

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  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

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