Answer: 28 hours
Step-by-step explanation:
Hi, the cost for the trampoline park without a membership is equal to the price of the jump tickets per hour (12) multiplied by the number of hours (h).
Cost without membership= 12h
With the membership the price of each jump ticket has a 15% discount ( so, 100-15 =85% of the total price ). To calculate the cost for this case we have to add the cost of the membership 50, and multiply the cost of each jump ticket (12) by 0.85 (percentage in decimal form)
Cost with membership = 50 +12 (0.85) h
If both cost are equal:
50 +12 (0.85) h = 12 h
Solving for h
50+10.2h =12h
50= 12h-10.2h
50= 1.8h
50/1.8= h
27.78 =h
h =28 (rounded)
Answer:
Since the price is given by an exponential function, the decline in price is exponential.
The component will cost $36.8475 in three years.
Step-by-step explanation:
The equation for the price of a component has the following format:

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.
Since the price is given by an exponential function, the decline in price is exponential.
The price of a computer component is decreasing at a rate of 15% per year.
This means that 
Component costs $60 today
So P(0) = 60. Then



What will it cost in three years?
This is P(3).


The component will cost $36.8475 in three years.
Answer:
$9.50
Step-by-step explanation:
if you isolate y in the top equation to get y=5x+6 then you can substiture y for 5x+6 in the bottom equation because thats what y equals
as of now you have -3x+6(5x+6)=-12 but if you use the distrubite property you would get -3x+30x+36=-12
then if you subtract 36 from both sides you would get -3x+30x=-48 then combine like terms to get 27x=-48 then divide both sides by 27 to get
or x≈1.8
Answer:
x = 1.2375 or 99/90
Step-by-step explanation:
<u>Step 1: Distribute</u>
21 + 40(2x - 3)
21 + 80x - 120
<u>Step 2: Combine like terms</u>
21 + 80x - 120
80x - 99
<u>Step 3: Solve for x</u>
80x - 99 + 99 = 0 + 99
80x / 80 = 99 / 80
x = 1.2375
Answer: x = 1.2375 or 99/80