Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website. y = 82 ( 1.045 ) x

What is the rate of growth Michael expects each week after launching the website?

A. 104.5%
B. 95.5%
C. 4.5%
D. 0.045%

Answer is in the photo. I couldn't attach it here, but uploaded it to a file hosting. link below! Good Luck!

cutt.ly/4zZs6GM

The answer is D 0.045%

Step-by-step explanation:

Michael starts a website for people in his town to share news and photos.  Before launching the website, he has his friends and family sign up.  Then, he uses the equation shown below to estimate the number of user, y, who will have signed up x weeks after he officially launches the website.

y = 82(1.045)x

What is the rate of growth Michael expects each week after launching the website?

The answer will be %0.045

Step-by-step explanation:

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.