Question

Simple interest.

2700=2200(1+r)^5

Answer 1

`2700=2200(r+1)^5\\(27)/(22)=(r+1)^5\\\sqrt[5]{(27)/(22)}=\sqrt[5]{(r+1)^5}\\(27)/(22)^(1)/(5)=r+1\\r=(27)/(22)^(0.2)-1\\r=1.0418-1\\r=0.0418`

r = 0.0418

Answer 2

solve your equation step-by-step.

2700=2200(1+r)^5

Flip the equation.

2200(r+1)^5 = 2700

Divide both sides by 2200.

2200(r+1)^5 / 2200 = 2700 / 2200

(r+1)^5=27/22

Solve Exponent.

(r+1)^5=27/22

((r+1)5) ^1/5 = (27/22)^1/5 (Raise both sides to power)

r+1=1.041809

r+1−1=1.041809−1(Subtract 1 from both sides)

r = 0.041809

Check answers. (Plug them in to make sure they work.)

r = 0.041809 (Works in original equation)