Write the equation of the line which passes through (2, –1) and is perpendicular to the line with equation 3y – x = 1.
1 answer:
You can start by swapping the x- and y-coefficients and negating one. In standard form the x-coefficient must be positive, so it is convenient to choose that.
... 3x +y = ??
The ?? is a constant chosen to make sure the line goes through the given point. If you fill in 2 for x and -1 for y, you see what the constant needs to be.
... 3x + y = 3(2) +(-1) = 5
The equation is 3x + y = 5.
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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>: