Answer:
V' = (-1, -4)
Step-by-step explanation:
the original point V (4, -1) is 4 units to the right and 1 unit down.
now we turn this 90° clockwise (upper right to down to upper left).
that means the right part of the x-axis turns into the bottom part of the y-axis, and the bottom part of the y-axis into the left part of the x-axis.
so, positive x turns into negative y, and the negative y turns into negative x.
therefore, (4 -1) turns into (-1, -4).
50 ounces of 15% saline solution contains 0.15*50 = 7.5 ounces of salt.
Let x be the amount of pure water you add to this solution. Then you end up with (x + 50) ounces of this new solution. The amount of salt stays the same.
You want the new solution to have a concentration of 10%. This means you need
7.5 / (x + 50) = 0.1
==> 7.5 = 0.1(x + 50)
==> 7.5 = 0.1x + 5
==> 2.5 = 0.1x
==> 2.5/0.1 = 0.1x/0.1
==> x = 25
Answer:
3 years
Step-by-step explanation:
A=P( 1+rt)
A= Total amount
P= Principal
r = yearly interest
t= time in year
672=600(1+0.04t). Distribute
672=600+600x0.04t
72= 24t
t= 3 years
