The formula for the sum of the a finite geometric series is this:
Sn = a((1-r^n) / (1-r))
The given values are:
n = 30
a = 0.5 mi
r = 1.10 (10% more each day)
S30 = 0.5 ((1-1.10^30) / (1-1.10))
S30 = 82.25 mi
After 30 days, he will have traveled 82.25 miles.
Simplified: 3x+7y+(-2y)+9
Coefficient of y: 5
Constant: 3 and 6
10 1/4 / 151 3/16 = 4/59
Have a great day :)
Answer:
the amount borrowed is ≅ $527
Step-by-step explanation:
Given that;
simple interest rate r = 180% p.a
Let the amount borrowed (principal) be $x.
time t = 4 weeks = 28 days
= 28/365 year
= 0.0767 year
we all know that :
![Simple \ \ interest = \dfrac{P*r*t}{100}](https://tex.z-dn.net/?f=Simple%20%5C%20%5C%20%20interest%20%3D%20%5Cdfrac%7BP%2Ar%2At%7D%7B100%7D)
![Simple \ \ interest = \dfrac{x*180*0.0767}{100}](https://tex.z-dn.net/?f=Simple%20%5C%20%5C%20%20interest%20%3D%20%5Cdfrac%7Bx%2A180%2A0.0767%7D%7B100%7D)
Simple interest = 0.13806x
Total amount to be paid after 4 weeks= Interest+Principal
= x + 0.13806x
= 1.13806x
Thus;
1.13806x = $600
x = $600/ 1.13806
x = $527.21
Hence; the amount borrowed is ≅ $527