Answer:
26042.
Step-by-step explanation:
What's the first term of this geometric series?
2.
What's the common ratio of this geometric series?
Divide one of the terms with the previous term. For example, divide the second term -10 with the first term 2.
.
What's the sum of this series to the seventh term?
The sum of the first n terms of a geometric series is:
,
where
is the first term of the series,
is the common ratio of the series, and
is the number of terms in this series.
.
Number of times she climbed 5-mile mountain trail = x
Number of times she climbed 10-mile trail = y
total distance of the 5-mile mountain trail will be = 5*x =5x
total distance of the 10-mile mountain trail will be = 10*y = 10y
equation that can be used to find the number of times she hiked each trail is therefore
5x + 10y = 90
Total hours= 2.2+3.5=5.7
Total earned = 5.7 x $7.50= $42.75