18:24 = 3/4
4:70 = 2/35
35:105 = 1/3
22:7 = 22/7
12:165 = 4/55
H is the correct answer. Y= (x+2)^2-5
2 to the left x+2=0 x=-2
5 dpwn
Absolute value means the distance from 0.
|-0.45| =0.45
|-0.0045|=0.0045
0.45>0.0045
So
|-0.45|>|-0.0045|
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
Answer:
d) 192
Step-by-step explanation:
Your calculator can do this for you.
Or, you can simplify to
