240
/ \
5 48
/ \
6 8
/ \ / \
3 2 4 2
When you're given a point and the slope of a line, it is often easiest to write its equation in
point-slope form.
This is
, where
is the ordered pair for the point you are given and m is the slope.
Here, you would write
. Then, you simplify to get to
slope-intercept form, which is
, where b is the y-intercept.
The correct answer is A.
Answer:
3x - 14 < 3x - 15
-14 < -15
never true
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
Well I wanna do you want us to pick you guys up tomorrow at night to
