Answer:
Step-by-step explanation:
Answer:
y= 4x-7
Step-by-step explanation:
First, we need to find the slope. We can do this by using the formula:
1) y₂-y₁/x₂-x₁
2) 9-5/5-3
3) 4/2
4) The slope is 2
Next, we have to first plug the slope (2) and one of the coordinate pairs (I chose (3,5)) into point-slope format.
5) y-y₁=m(x-x₁)
6) y-5 =4(x-3)
7) Now we just simplify this equation to make it slope intercept form (y=mx+b)
8) y-5= 4x-12
9) y=4x-7
And there you have it :)
Answer:
3.4 Hours
Step-by-step explanation:
25 x $7.75 = $193.75
$250 - $193.75 = $21.25
$21.25/$6.25 = 3.4 hours
You must work 3.4 hours at the second job.
Answer:
where's the number?
Step-by-step explanation:
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
