Ebony’s bank balance first reached $400 on day 4. the last day her balance was $400 was day 8.
(a) determine . explain how you determined these amounts.
(b) estimate . explain how you determined these amounts.
(c) jade said that the amount of money ebony took out of her account each day between day 8 and day 12 was the same amount of money she put into her account each day between day 0 and day 4. recall that day 12 is when the balance first reached $0. without doing any calculations, how could you show jade why that cannot be true?

answer:

step-by-step explanation:

it only took four days for her to reach $400 so if she took out the same amount of money she added each day starting after day 4, it would also only take 4 days. she would be at $0 on day 8 not 12

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.