The general equation of a line is:
When m is the gradient and x1 and y1 are the coordinates of the points on the line
Therefore:
Answer:
No
Step-by-step explanation:
The car starts at 20 000
After 1 year, it's worth 18 000
After 2 years, it's worth 14 400
After 3 years, it's worth 11 600
After 4 years, it's worth 9 280
After 5 years, it's worth 7 424
After 6 years, it's worth 5 975.20
No, the family should not sell the car for 4000
The sum of any geometric sequence, (technically any finite set is a sequence, series are infinite) can be expressed as:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number
Here you are given a=10 and r=1/5 so your equation is:
s(n)=10(1-(1/5)^n)/(1-1/5) let's simplify this a bit:
s(n)=10(1-(1/5)^n)/(4/5)
s(n)=12.5(1-(1/5)^n) so the sum of the first 5 terms is:
s(5)=12.5(1-(1/5)^5)
s(5)=12.496
as an improper fraction:
(125/10)(3124/3125)
390500/31240
1775/142
