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
<span><span>tan^2</span>(x) is the answer.</span>
19. 60* - a straight line is 180* - the other side which is 120* (supplementary)
20. 132* - the angle below is the same as the other side of this angle, 180* - 48* (same side interior angles)
21. 48* - these are the same angle just in different placements (corresponding angles)
22. 70* - same angles just different placement (alternate interior angles)
23. 85* - these are vertical angles so they’re the same
24. 114* - same angle just different placement (alternate exterior angles)
