ANSWER

EXPLANATION
The problem represents a geometric progression.
The general form of a geometric sequence is:

where a = first term
r = common ratio
The first term from the table is the first price (for the first month). That is $80.00
To find the common ratio, we divide a term by its preceeding term.
Let us divide the price of the second month from the first.
We have:

The price after the 8th month is the value of a(n) when n = 8
So, we have that:
Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
First you turn 15% into a decimal by dividing by 100
.15 then multiply by 59.99 and get around 8.99
Then subtract 8.99 from 59.99 and get $51
So $59.99 with 15% off is about $51
Hope this helped! :))
0= x^2-7x+10
Factor
(x-5)(x-2)=0
Check
-5-2=-7, -5*-2=10
Use ZPP
x-5=0
x=5
x-2=0
x=2
Final answer: x=2, x=5