First, multiply the 1,500 by 4.3% to come up with $64.50 every three months (the question says compounded quarterly).
$64.50 x 4(quarters in a year) = $258.00 per year
$258.00 x 6 years = $1,548.00
$1,500.00 + $1,548.00 = $3,048.00 balance after six years
P(red) = 1/5 [that says "probability of getting red is one fifth"
P(green) = 1/5
P(blue) = 1/5
P(yellow) = 1/5
P(purple) = 1/5
The reason the fractions are all the same is that there are equal numbers of each color. For example, if there were 7 marbles of each color, there would be a total of 35 marbles.
P(red) = 7/35 = 1/5
Similar for the other colors.
Answer:
4x=y
Step-by-step explanation:
Mandy collects 4 times the amount that Cameron has, so Cameron's amount x 4 = Mandy's amount
Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3
Answer:
<1 and <5 by the corresponding angles theorem
