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:
x1= 14/4 and X2 = -2
Step-by-step explanation:
To find the values of "X" for which when the function is evaluated gives 19 we need to equal the function to 19, as follows:
2x^2+3x+5 = 19
2x^2+3x+5-19=0
2x^2+3x-14=0
Then, solving for "x" we need to use the quadratic formula (Attached), where a, b, and c, are the following:
a: 2 b: 3 c: 14
Using the quadratic formula, we get:
x1= 14/4 and X2 = -2
Right triangles. There is a 90 degree angle on both
If we know that two sets of corresponding angles and the corresponding included sides are congruent in two triangles, what can we say about the triangles?
Answer: The Selective Service Act requires all men between the ages of 21 and 30 to register for military service.
Step-by-step explanation:
