An initial amount of 2,400 grows at a rate of 12% every month. Write an exponential equation for the amount y after x months

The expression is y(x) = 2400*(1.12)^x

Step-by-step explanation:

The initial amount is:

y(0) = 2400

After the first month it is:

y(1) = y(0)*(1 + 12/100) = 2400*(1 + 0.12) = 2400*(1.12)

After the second month it is:

y(2) = y(1)*(1.12) = y(0)*(1.12)*(1.12) = y(0)*(1.12)²

After the third month it is:

y(3) = y(2)*(1.12) = y(0)*(1.12)²*(1.12) = y(0)*(1.12)³

After "x" months, we have:

y(x) = y(0)*(1.12)^x

y(x) = 2400*(1.12)^x

4400

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)