Katie received a speeding ticket that incurred a $125 fine. After one month, she will also be charged late fees for every month that she is delinquent. The amount she pays is
modeled by an exponential function, and the following table reflects the amount she will
have to pay each month.
Month Paid
Amount Paid
$125
1
2
3
$137.50
$151.25
$166.38
4
a. Write a function that models the fine Katie will pay in terms of the month it is paid. (5
points)
b. Using your function, predict how much Katie will pay if she waits until month 12 to pay
her fine. (5 points)

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)

The formula to determine energy is e=1/2mv2? what is the formula solved for v?

Explain how the quotient of powers was used to simplify this expression.