Answer:
172.5 mg/dl
Step-by-step explanation:
Given the equation y= -2.5x + 222.5, where 'x' is the time spent exercising in minutes. If we want to know the amount of cholesteron for a person exercising 20 minutes a day, we just have to subtitute 20 into the equation for x.
So we have: y= -2x + 222.5 → y= -2.5(20 minutes) + 222.5 = 172.5 mg/dl
Answer:
The distance of the boat from B is approximately 9.4 miles
Step-by-step explanation:
The location of light house B from A = 9 miles west
The distance of the boat from A = 4 miles
The bearing of the boat from A = NE65
We have;
4/(sin25) = 9/sin(B)
sin B = 9*sin(25)/4
B ≈ 71.969
a² = 4² + 9² - 2 × 4 × 9 × cos(180 - 25 - 71.969) ≈ 88.264
The distance of the boat from B, a ≈ √88.264 ≈ 9.4
J+K+B+L=1000
K=2J
B=3J
L=100
1000-100=900
J+(2J)+(3J)=900
6J=900 Divide both sides by J.
J=150
Jim gets $150
Answer:
425,601,006
Step-by-step explanation:
200 members pay $30 each
Current revenue = 200 x $30
= $6000
For each $5 increase in fee, 20 members will leave
For i number of $5 increase, 20i members will leave
New number of members = 200 - 20i
For i number of $5 increase, new fee = 30 + 5i
Therefore, new revenue = (200 - 20i) x (30 + 5i)
= 200(30 + 5i) - 20f(30 + 5i)
= 6000 + 1000i - 600i - 100i²
= 6000 + 400i - 100i²
In the form of a quadratic equation,
-100i² + 400i + 6000
R(i) = -100i² + 400i + 6000
This is not our answer yet.
We are told to write a quadratic inequality for what numbers of $5 fee increases will the revenue from fees actually be less than its current value
Current value = 6000
Therefore, we are looking for i, when R(i) < 6000
Remember, R(i) = -100i² + 400i + 6000
Therefore,
R(i) < 6000 = -100i² + 400i + 6000 < 6000
We are to solve the quadratic inequality,
-100i² + 400i + 6000 < 6000
⇒ -100i² + 400i < 0 (Subtract 6000 from both sides)
⇒ 400i < 100i² (Add 100i to both sides)
⇒ 4i < i² (Divide both sides by 100)
⇒ 4 < i (Divide both sides by i)
4 < i can be rewritten as i > 4
Therefore, for more than 4 numbers of <span>$5 increase in the fees, the revenue from fees will actually be less than its current value.</span>
