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.
Step-by-step explanation:
The correct answer is C as it has the same line of equation. We can make this clear by verifying that these two points make the same equation or not. So as we can see if we calculate the gradient using the formula y2 - y1 / x2 - x1.
To find the measure of an interior angle of any regular polygon, we use the formula:
180 * (n-2) / n,
where n is the number of sides in the regular polygon.
Therefore, if there are 15 sides in the regular polygon, your answer would be
180 * (15-2) / 15,
or when simplified,
180 * 13 / 15
2340 / 15
156 degrees.
Thus, the measure of an interior angle of a regular polygon with 15 sides is 156 degrees.
