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Answer: the total amount that you can earn in 15 years is $737245. Option C
Step-by-step explanation:
You receive an annual salary of $32,900 and each year, you are assured of a 5.5% raise. Assuming there was no raise, you get 100% of your previous salary each year. With a raise of 5.5%, you will get 100 + 5.5 = 105.5% of your previous salary for each year. This is a geometric progression and we want to determine the sum of 15 terms(15 years).
The formula for the sum of terms in a geometric progression is
Sn = [a(r^n - 1)]/ r - 1
Sn = sum of n terms
a = the first term
n = number of terms
r = common ratio
From the information given,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649 - 1)] / 0.055
S15 = 32900 × 1.23247649) / 0.055
S15 = 737245.0277
S15 = $737245
The answer to this is 229.183°
Consider triangle XYZ with vertices at points X(1,-3), Y(3,0) and Z(-1,-1). If triangle XYZ is reflected across the line y = 1, then the rule of reflection is
(x,y)→(x,-y+2).
The image X' of point X will have coordinates according to the given rule:
X(1,-3)→X'(1, -(-3)+2)=X'(1,5).
Answer: correct choice is D.
Answer: f(0) = 5.5 f(2) = 3.7
<u>Step-by-step explanation:</u>
When x = 0, f(x) = 5.5 <em>In other words, f(0) = 5.5</em>
When x = 2, f(x) = 3.7 <em>In other words, f(2) = 3.7</em>