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8090 [49]
2 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]2 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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Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back
ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial  speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar =  10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 =  t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

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3 years ago
What type of angle is this
DaniilM [7]
Obtuse angle that’s the answer
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2 years ago
3. The equation of a circle is x^2+y^2-4x+2y-11=0 . What are the center and the radius of the circle? Show your work.
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Suppose sin(A) = 1/4. use the trig identity sin^2(A)+cos^2(A)=1 to find cos(A) in quadrant II. around to ten-thousandth.
larisa86 [58]

In quadrant II, \cos(A) will be negative. So

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1 year ago
Brandon spends $25.30 on 2 large containers of popcorn and 4 large drinks. A large container of popcorn costs $5.25. What is the
Paladinen [302]

Answer:

$3.70

Step-by-step explanation:

$25.30 = 2P + 4D. p for popcorn and d for drinks

P= $5.25

$25.30 = 2($5.25) + 4D

$25.30 = $10.50 + 4D

-10.50. -10.50

inverse operations

$14.80 = 4D

÷4. ÷4

Inverse operations

$3.70 = D

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