Answer:
315 people bought tickets.
Step-by-step explanation:
270 divided by 6 = 45
45 x 7 = 315
Answer:
0.12 x (x + 3000) = 4200
equation for her salary last year : last year's salary = (4200 / 0.12) - 3000
$32,000
Step-by-step explanation:
Let x = last year's salary
this year's salary = 3000 + x
this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200
to find last year's salary, make x the subject of the formula
4200 / 0.12 - 3000 = x
x = $32,000
Answer:
b
Step-by-step explanation:
just out b i dont have time to explain
Given:
Current revenue = $6000
<span>R(f)= -100f^2 + 400f + 6000
where f is a whole number of $5 fee increases
We are told to find f, when R(f) </span><span>< 6000
Since </span>R(f)= -100f^2+400f+6000
R(f) < 6000 ⇒ -100f^2+400f+6000 < 6000
Subtract 6000 from both sides
-100f^2 + 400f + 6000 - 6000 < 6000 - 6000
-100f^2 + 400f < 0
⇒ 400f - 100f^2 < 0
Divide the equation by 100
400f/100 - 100f^2/100 < 0/100
4f - f^2 < 0
Add f^2 to both sides of the equation
4f - f^2 + f^2 < 0 + f^2
4f < f^2
Divide both sides by f
4f/f < (f^2)/f
4 < f
⇒ f > 4
⇒ f ≥ 5
Therefore, <span> for 5 or more numbers of $5 fee increases, the revenue from fees will actually be less than its current value.</span>
V = pi r^2 h
But it says 1/3 full so
1/3 pi r^2 h
1/3 * 3.14 * 4^2 * 6
100.48ft cubed
Whichrounds off to 100.5