The annual return percentages will be evaluated using the formula:
A=P(1+r/100)^n
where:
A=amount
P=principle
r=rate
n=time
a] A=$500, P=$400, n=1 years
500=400(1+r)^1
solving for r we shall obtain:
1.25=1+r
hence
r=1.25-1
r==0.25
annual rate of investment is 25%
b] A=2500+100=$2600, P=$ 2000, n=1 year
hence
2600=2000(1+r)^1
2600/2000=1+r
1.3=1+r
r=1.3-1
r=0.3
annual rate of investment is 30%
If you multiply the top equation by -2 you get:
-4x -14y = 14 => -4x = 14+14y
now you can plug in the -4x into the second equation:
14+14y - 3y = -19 => 11y = -33 => y=-3
Fill in y=-3 in either equation to find x:
2x - 21 = -7 => 2x = 14 => x=7
So your ordered pair is (7,-3)
If you divide 67 by 50 you are left with 1.34 if you turn that decimal into a percent it turns into 134%
