Jack earned $972 in 6 years on an investment at a 3% annual simple interest rate. how much was jacks investment?

I = prt; where I = 972, r = 3% = 3/100 = 0.03, t = 6 years.

p = I/rt = 972/(0.03 x 6) = 972/0.18 = 5,400

Therefore, Jack's investment was $5,400

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.