Answer:
The first four terms of the series are
= 14.25
Step-by-step explanation:
We know that
Sum of convergent series is also a convergent series.
We know that,
If the common ratio of a sequence |r| <1 then it is a convergent series.
The sum of the series is 
Given series,
The first four terms of the series are
Let
and 
Now for 
,
It is a geometric series.
The common ratio of is 
The sum of the series
=10.5
Now for 
It is a geometric series.
The common ratio of is 
The sum of the series
=3.75
The sum of the series is
= 
=10.5+3.75
=14.25
Answer:
71.8
Hope this helps!
Water in weathering rocks (like rain beating a Boulder/Mountain)
Sedimentary Rocks Deposition is the geological process in which sediments, soil and rocks are added to a landform or land mass. Wind, ice, water, and gravity transport previously weathered surface material, which, at the loss of enough kinetic energy in the fluid, is deposited, building up layers of sediment.
Weathering is the breaking down of rocks, soil, and minerals as well as wood and artificial materials through contact with the Earth's atmosphere, water, and biological organisms!
Hope these are correct, good luck!
Answer:
f(x)= $70 - $1.5*x
Step-by-step explanation:
You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:
$5 + $15= $20
Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:
$1.5*x
So the money spent after x rides can be expressed as:
$20 + $1.5*x
Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:
$90 - ($20 + $1.5*x)
$90 -$20 -$1.5*x
$70 - $1.5*x
By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:
<u><em>f(x)= $70 - $1.5*x</em></u>
