Answer:
240π
Step-by-step explanation:
Turbine blade that was 24 inches long is the radius of the circle the bug travels.
So the Circumference is = 2rπ = 2*24*π = 48π
The bug held on for 5 rotations. so the distance that the bug travels = 5*48π = 240π
Answer:
14 cupcakes
Step-by-step explanation:
40 percent of 35 is 14
Answer:
a) is a solution of the linear equation.
b) The rate of change of the equation is 3.
c) The y-intercept of the equation is -2.
d) <em>Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?</em>
Step-by-step explanation:
a) If is a solution of the linear equation, then . If , then the function evaluated at this value is:
Hence, is a solution of the linear equation.
b) The rate of change of the equation is represented by the slope of the function, which is the constant that multiplies the indepedent variable (). Hence, the rate of change of the equation is 3.
c) The y-intercept of the equation is the only constant of the equation. Hence, the y-intercept of the equation is -2.
d) A real-world scenario would be the following: <em>Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?</em>
<span>Let x = dollar increase in price
Let y = fewer number of pairs sold
Since 2 fewer shoes are sold for each 1 dollar (factor of 2)
y = 2x
Revenue = Number of shoes sold * Price charged per shoe
Number of shoes sold = 200 - y = 200 - 2x
Price charged per shoe = $60 + $x
Revenue = (200 - 2x)(60 + x) = -2x^2 + 200x - 120x + 12000
Revenue = -2x^2 + 80x + 12000
In a quadratic equation, Revenue is maximized when x = -b / 2a. In this case:
x - -80 / (2*-2) = $20
Price charged per show = $60 + $x = $60 + $20 = $80.
Maximum revenue = -2x^2 + 80x + 12000 (evaluated at x = $20)
Maximum revenue = -2(20^2) + 80*20 + 12000 = $12800</span>