Answer: y=5x/2 - 2.5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2.5-2.5)/(0-2)
m=-5/(-2)
m=5/2
y=mx+b
y=5x/2 + b
-2.5=5(0)/2 + b
-2.5=0 + b
b=-2.5
y=5x/2 - 2.5
So have the sequence:

To check if the sequence is geometric, we are going to find its common ratio; to do it we are going to use the formula:

where

is the common ratio

is the current term in the sequence

is the previous term in the sequence
In other words we are going to divide the current term by the previous term a few times, and we will to check if that ratio is the same:
For

and

:


For

and

:


For

and

:


As you can see, we have a common ratio!
We can conclude that our sequence is a geometric sequence and its common ratio is
Can’t do 16 but here are the rest :))
Answer:
discount= $94.5
Proceeds=$2605.5
Step-by-step explanation:
amount Dawin has to pay= $2700
in 6 months time
at a discount rate of 7%
here future value = $2700
D= discount before m months is given by

m= 6 months, r= 7% and FV= 2700
putting values

solving we get
D= $94.5
now present value = future value - discount
=2700-94.5= $ 2605.5
here PV(present valve )= Proceeds= $2605.5
5x - 20y = 60...reduce by dividing by 5
x - 4y = 12
this is the same as the other equation....therefore, it is the same line...meaning infinite solutions
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y - 7x = -14
y = 7x - 14.....slope = 7, y int = -14
7y - 49x = -2
7y = 49x - 2
y = 7x - 2/7.....slope is 7, y int is -2/7
if the slopes are the same, but the y int are different, then u have a parallel lines with no solutions