Here we're discussing the "nth partial sum of a geom series."
1 - r^n
The formula for that is s(n) = a(1) ---------------
1-r
We can subst. the given values and see where that takes us:
1 - (-2)^6 1 - 64
105 = a(1)*---------------- = ----------*a(1) = -21*a(1)
1-(-2) 3
105
Solving this for a(1): a(1) = --------- = -5 (answer)
-21
5:11 is the ratio of those who completed in the freestyle to those who didn't. It <u>would not be 5:16 </u>because 5 of the members from the 16 members did the freestyle. 16-5 equals 11. 5(Men who did freestyle):11(Men who didn't do freestyle)
Your answer is 5:11.
Principal = 1600
annual interest = 6% / year
period = 7 years
Future value after 7 years
= 1600(1+0.06)^7
=1600(1.06^7)
=$2045.81
=$2046 (to the nearest dollar)
6 7/12 of trail mix . This is the answer
if you want me to explain then just comment back
