Answer:
y= 8(5 * 0.7) ^ 5
Step-by-step explanation:
Answer:
$14,800 at 10.5%
$38,850 at 12%
Step-by-step explanation:
Investment at 10.5% (x):
(0.12[$53,650 - x])/0.105x = 3
$6,438 - 0.12x = 0.315x
0.435x = $6,438
x = $14,800
Investment at 12%:
= $53,650 - $14,800
= $38,850
Answer: Investments: @ 10.5%, $14,800; @ 12%, $38,850
Proof: (income from 1st is 1/3 that of the income from the 2nd):
= (0.105[$14,800])/(0.12[$38,850])
= $1,554/$4,662
= 1/3
Answer: The piano lessons change Darius' savings account by $22.75 each week for four weeks so he has spent $91.00 on piano lessons.
5x-y=3
Not sure if it’s correct
You should know that you can predict changes in coordinates after translations without a graph or anything like that.
(x, y) reflected over the x axis = (x, -y)
(x, y) reflected over the y axis = (-x, y)
(x, y) rotated 90 degrees around the origin = (y, -x)
(x, y) rotated 180 degrees around the origin = (-x, -y)
(x, y) rotated 270 degrees around the origin - (-x, y)
So here's our set of points.
A(1, 2), B(4, 6), C(4, 6)
Here's those points reflected over the x axis.
A'(1, -2), B'(4, -6), C'(4, -6)
And here's <em>those</em> points rotated 180° around the origin.
A''(2, -1), B''(6, -4), C''(6, -4)
I think you made a mistake writing down the question, though, because B and C are the same yet you say ABC forms a triangle. You should be able to go through this process with whatever the coordinate was supposed to be.