Mariah is single and has a monthly disposable income of $3,200. her monthly cash outflow is approximately $2,800. mariah includes contributions to a retirement plan and money for investments as part of her cash outflow. she has car insurance and a life insurance policy. mariah has saved $15,000, but wishes to use $10,000 for a down payment on a house. she has also purchased furnishings for a house, which she has in the spare bedroom of her apartment. mariah hires a financial planner to examine her money management, and he determines that her plan needs work. what part of mariah’s financial plan would he encourage her to work on and why?

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.

-1/3(x+1)^5

i’m pretty sure this is correct