How long will it take 10 000.00 to grow to 15 400.00 if it is invested at 9

Am assuming it is invested at 9% per annum simple interest.

I = PRT/100

T =  100I / PR

P = 10000,   R = 9%,  I = 15400 - 10000 = 5400

T = 100I / PR

T =  100 * 5400 / (10000 * 9) 

T =  6 years.

It would take 6 years.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.