You will need to set up your table of values for each person.
Let x represent the months, and y for the amount of money.
For Carissa: For Louann:
x = y x = y
-- -- -- --
0 $250 0 $1230
1 $330 1 $1170
2 $410 2 $1110
3 $490 3 $1050
4 $570 4 $990
5 $650 5 $930
6 $730 6 $870
7 $810 7 $810
You could also do the equation:
80x + 250 = -60x + 1250
where you will get x=7.
Then substitute 7 to the x's in the equation which will give you $810 for each.
The answer is: It will take 7 months. Then, they will both have $810 in their accounts.
Slope-intercept form formula: y=mx+b
our slope is undefined.
You have to give some info about the prism
The angle here is an acute angle at ground level. Then the side adjacent to this angle is 126 feet. The opp. side is the tower, 111 feet tall.
Then
tan theta = opp / adj = 111 / 126. Using the inverse tangent function, we find that the measure of the angle is 0.722 radian or 41 degrees (to the nearest degree).