The answer would be 25/54
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:
6.83333333333 (repeated)
Step-by-step explanation:
1/3 x 20.5= 6.83333333333...
The degree and direction of rotation that takes ΔQRS to ΔQ'R'S' is:
45 degrees; anticlockwise direction.
<h3>What is rotation in math?</h3>
The transformation by rotation refers to the movement of a shape or point in a circular path about a fixed point.
When the shape moves in an anticlockwise direction, it means that It is going in the opposite way as the hands of a clock do.
Learn more about rotation in math:
brainly.com/question/26249005
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