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:
39-18 is 21.
Explanation:
Answer:
$270
Step-by-step explanation:
18x15=$270
HOPE THAT HELPED:)
Answer:
Option E
Step-by-step explanation:
The standard equation of circle is:- (x-h)² + (y-k)² = r²
where (h,k) is center point and r is radius
If radius r is decreased then also (h,k) remains same, only r² increases
Equation given in question is x² + y² + Cx + Dx + E=0
So, C and D will remain same but E will increase
