Intermediate Algebra Help

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10) Amber paid $27,375 as a down payment for her house. If the down payment was 15% of the actual cost of the house, what was the actual cost?

11) After Sarah received a 5% raise, her annual salary was $71,400. What was her annual salary before the raise?

12) Marcus wins $800,000 (after taxes) in the lottery and decides to invest half of it in a 5-year CD that pays 5.24% interest compounded quarterly. He invests the other half in a money market fund that unfortunately turns out to average only 1.8% interest compounded annually over the 5-year period. How much money will he have altogether in the two accounts at the end of the 5-year period?

13) Line a has a slope of 6. If line b is perpendicular to line a, what is the slope of line b?

14) Given the points (5, -3) and (-7, 1):

a) Find the slope of the line through the points.

b) Write an equation in point-slope form of the line through the points.

c) Convert the equation to slope-intercept form.

d) Convert the equation to standard form.

e) Graph the equation. You may use the axes provided, or create your own graph.

-7-6-5-4-3-2-112345678

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15) a) Write an equation of a vertical line through the point (-3, 5).

b) Write an equation of a horizontal line through the point (-7, -2).

c) Find the slope of a line parallel to the line with equation 3x – 7y = 21.

d) Find the slope of a line perpendicular to the line with equation 2x + 3y = 5.