Answer: Approximately 112.86 miles in any direction away from the radio station
Step-by-step explanation: If the radio signal of the radio station can cover a circular area of 40,000 square miles, it simply means any direction away from the radio station that is within the coverage area. With the radio station as the center, we would have a radius that can reach any point within the area, and any distance beyond the radius would be out of coverage area. If the area has been given as 40000, then we have;
Area of a circle = pi x r^2
40000 = 3.14 x r^2
By cross multiplication we now have
40000/3.14 = r^2
Add the square root sign to both sides of the equation
112.8665 = r
Therefore, the farthest a person can live away from the radio station is approximately 112.86 miles
Tickets cost $0.75t. Kendall bought 18 tickets, so you can substitute 18 for the variable t because it stands for the amount of tickets bought.
$0.75(18) = $13.50
Kendall spent a total of $33.50, so that means she spent $13.50 on tickets and the rest she spent on admission, so 33.50 - 13.50 = 20; she spent $20.00 on admission.
(a) The variable are t, amount of tickets bought, and a, admission price.
(b) The linear equation for anyone who only pays for festival admission and rides would look like: 0.75t + a.
(c) I made the linear equation 0.75t + a because first you would have to pay the admission fee (a), and then you would pay for EACH ticket (t). So t would be the changing variable depending on how many tickets a person would choose to buy.
The answer should be 231/50
Answer:
32.2683333333
Step-by-step explanation:
Answer:
a) $926.40
b) $606.32
Step-by-step explanation:
a)
If she worked a total of 45.5 hours, she will receive $19.20 per hour in the first 40 hours and 1.5 * $19.20 for the exceeding 5.5 hours, so her earnings is:
19.2 * 40 + 1.5 * 5.5 * 19.2 = $926.40
b)
The deduction is $34.75, so the remaining will be:
926.40 - 34.75 = $891.65
Then, after this deduction, the taxes is 32% of the remaining, so:
891.65 - 0.32 * 891.65 = $606.32
She received $606.32
