Answer:
Step-by-step explanation:
Let x represent the rate at which the ticket is sold and let y represent the number of tickets sold at that rate.
When x = 4, y = 800
This means that the income from gate takings at this rate is 4 × 800 = $3200
For each 1 dollar increase in the gate fee,management expects 100 fewer customers to buy tickets. It means that the amount earned would be (x + 1)(y - 100)
For the amount to be $3500, it means that
(x + 1)(800 - 100) = 3500
700(x + 1) = 3500
x + 1 = 3500/700 = 5
Therefore, management should charge $5 per person for gate fee so that it collects 3500 dollars from gate takings.
average rate of change is the slope (of the line) between the two coordinates
f(t) = -16t² + 48t + 100
f(3) = -16(3)² + 48(3) + 100 = -144 + 144 + 100 = 100 (3, 100)
f(5) = -16(5)² + 48(5) + 100 = -400 + 240 + 100 = -60 (5, -60)
m = 
= 
= 
= -80
Answer: -80 ft/sec
(1/2)/(19/6)
1/2 * 6/19
3/19
9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
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<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
Answer:
Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.
