Answer: The correct option is C
Step-by-step explanation:
You begin a job with an annual salary of $32,900
Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.
This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as
Sn = [a(r^n - 1)] / r - 1
Where
Sn = sum of the nth terms of the series
a = the first term(salary of the first year
r = common ratio
n = number of years.
From the question,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649224 - 1)] / 0.055
S15 = [32900 × 1.23247649224] / 0.055
S15 = $737245
Three. For these questions, ignore the positive or negative sign.
Answer:
- 3 and 69/70
Step-by-step explanation:
3 ÷ 5(6 × 7) - 4
3 ÷ 5(40) - 4
3 ÷ 210 - 4
1/70 ÷ 4
- 3 and 69/70
ANSWER
The radius is 4
EXPLANATION
The given equation is:
We complete the square to get the expression in standard form:
We factor using perfect squares to get:
This implies that,
Comparing to
The radius is r=4
The answer is
56/0.04=1400
