We can observe that the function describing the graph is linear and so the equation is of linear nature:
Numbers m and n have special names. m is called the slope, n is called y-intercept.
From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?
The slope can be calculated using two points' coordinates that lie on the line:
Now our line has an equation,
Hope this helps.
A 8 as the 2 labelled lengths will be the same; 2 x 8 = 16
Answer:
17x +215/ 5
Step-by-step explanation:
17x +215
5
Answer:
Step-by-step explanation:
Each successive year, he
earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence(amount earned in the first year).
r represents the common ratio.
n represents the number of terms(years).
From the information given,
a = $32,000
r = 1 + 5/100 = 1.05
n = 20 years
The amount earned in his 20th year, T20 is
T20 = 32000 × 1.05^(20 - 1)
T20 = 32000 × 1.05^(19)
T20 = $80862.4
To determine the his total
earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as
Sn = (ar^n - 1)/(r - 1)
Therefore, the sum of the first 20 terms, S20 is
S20 = (32000 × 1.05^(20) - 1)/1.05 - 1
S20 = (32000 × 1.653)/0.05
S20 = $1057920
