As a tornado moves, its speed increases. The function S (d ) = 93 log d + 65 relates the speed of the wind, S, in miles per hour, near the center of a tornado to the distance that the tornado has travelled, d, in miles. a. Calculate the average rate of change for the speed of the wind at the center of a tornado from mile 10 to mile 100.
b. Estimate the rate at which the speed of the wind at the center of a tornado is changing at the moment it has travelled its 10th mile and it’s 100th mile.

step-by-step explanation:

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368