you have 1000 to invest in an account and you need to have 1500 in one year what interest rate would you need to have in order to reach this goal if the amount is compounded quarterly round your answer to the nearest percent. Can someone help me please

The  interest rate would you need to have in order to reach this goal if the amount is compounded quarterly is 42.7%

Given that,

Based on the above information, the calculation is as follows:

So, r = 42.673

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42.7%

Step-by-step explanation:

A = p (1+r/n)^nt

1500 = 1000 (1 + r/4)^4x1

r = 42.673

except a rational number. : )

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.