Answer:
I think it changed from 36x to 48x
Depending on how you look at it, it could have changed from 3x to 4x or 36x to 48x.
If they said it was 18 feet instead of 18 inches, it would be 3x or 4x, but they had it as inches.
18 inches = 1.5 feet
72/1.5 = 48
54/1.5 = 36
So originally, it would have been a scale of 1 in : 36in , but it changed to 1 in : 48 in
Sorry if this was confusing.
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
Step-by-step explanation:
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The average baggage-related revenue per passenger is $16.30 per passenger.
<h3>Expected value</h3>
Expected value formula: x×p(x)
First step
No passenger=0×.54
No passenger=0
Second step
One checked luggage for first bag=.30×$25
One checked luggage for first bag=$7.50
Third step
Two piece for the first and second bag=.16×($25+$30)
Two piece for the first and second bag=.16×$55
Two piece for the first and second bag=$8.80
Last step
Expected value=$7.50+$8.80
Expected value=$16.30
Therefore the average baggage-related revenue per passenger is $16.30 per passenger.
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The volume of the frustum is volume of the whole cone(A) minus the smaller cone(B) which is would give the volume of frustum(C) = 256cm³
<h3>Calculation of a frustum</h3>
The volume of cone A V=πr²h/3
Where radius = 20cm
The volume of cone B = V=πr²h/3
Where radius = 12cm
Therefore volume of frustum =
V=π * 20² * h/3 - π * 12² *h/3
The variables will cancel out each other
V = 20² - 12²
V = 400- 144
V = 256cm³
Therefore, the volume of the frustum(C) = 256cm³
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