URGENT 50 PTS
1 answer:
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Answer:
- <em><u>The reduction is 8.6%</u></em>
Explanation:
Call F the full monthly pension of a person retiring at 62.
If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:
Where r = 6 / 100 = 0.06, and t = number of years after retirement.
<u>For retirement at 65.5</u>:
- t = 65.5 - 62 = 3.5
<u>For retirement at 67</u>:
- t = 67 - 62 = 5
<u>Percent reduction of people who retire at 65.5 compared to what they would receive at 67</u>:
Given:
The increase in pressure P is the linear function of the depth d.
The cost of dinner is $300 and $10 per students.
To find:
The initial value and rate of change and their interpretation.
Find the cost function C where n is the number of students.
Solution:
The slope intercept form of a linear function is
...(i)
where, m is rate of change and b is y-intercept or initial value.
We have,
...(ii)
From (i) and (ii), we get
The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.
Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.
The cost of dinner is $300 and $10 per students.
Let C(n) be the total cost for dinner and n be the number of students.
Fixed cost = $300
Additional cost for 1 student = $10
Additional cost for n student = $10n
Now,
Total cost = Fixed cost + Additional cost
Therefore, the required cost function is .