Answer:
no solution
Step-by-step explanation:
3(x-2) = 3x-2
x(3) -2(3) = 3x-2
3x -6 = 3x - 2 (subtract 3x from both sides)
-6 = -2
it is obvious that this is a false statement (-6 is obviously not equal to -2)
hence this equation has no solution.
Answer:
It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.
Step-by-step explanation:
Use the formula for continuous compounding

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.
(this formula can be beautifully derived from just basic considerations, btw)
We are given t=5, and percent increase on the initial P, so we can solve for r

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.
Answer:
2.16
Step-by-step explanation:
r = cost of ruler
p = cost of pencil
r = 2p
6r + 15p = 2.16
Substitute 2p in place of r in 2nd equation and solve for p
6(2p) + 15p = 2.16
12p + 15p = 2.16
27p = 2.16
112 students. divide 42 by 37.5%
Add all sides
use distance formula to fnd distance: sqrt((x1-x2)^2+(y1-y2)^2)
if is wrong,i'm sorry,i think this is right