I just want to make sure that I got the right answer.

that's how I found A since, C is the limit I plugged 100,000 for it. B is the growth rate and it's 1 as mentioned. now to find a, I just plugged it the initial pop when time was 0.

100=100,000/(1+ae^-0*1)

100(a+1) = 100,000

100a +100 = 100,000

100a = 99,900

a=99,900/100

a= 999

therefore, the final equation is

p(t) = 100,000/(1+999e^-t)

just want to make sure that I got it right, thx for your help.