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
Answer:
C
a = 1 : b=-8; C = 12
Step-by-step explanation:
I think you did not include the sign between the x^2 and the 8x...my guess is that it is a minus.
By process of elimination the answer is not B or D bc the a-value is 1 not 0.
Then the +12 you did include in the original question indicates that the c-value is 12 not -12 eliminating answer A.
Answer:
6/7
Step-by-step explanation:
-3 - 4 -7 -7
---------- = -------- = ------
5 - (-1) 5 + 1 6
Do the inverse of -7/6: 6/7
Answer:
Step-by-step explanation:
The answer is 2/3
I hope this works for you :)