Employees at a certain company are scheduled to earn a 1.9%1.9% pay increase each year to adjust for the cost of living. An employee starts at a salary of $35,000$35,000 per year and wants to know how long it will take to earn at least $40,000$40,000 per year. If the employee receives no additional raises, which statement is true?

The time it will take to earn at least $40,000 per year is 7.

Step-by-step explanation:

The information provided explains that the salary of an employee has an exponential growth.

That is, an employees salary is increasing exponentially at a constant rate.

The exponential growth function is:

Here,

y = final value

a = initial value

r = growth rate

n = time

Compute the time it takes for and employee's salary to increase from $35,000 to $40,000 as follows:

Taking natural log on both sides,

Thus, the time it will take to earn at least $40,000 per year is 7.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

b) well because you get well