Anest of ants initially contains 500 individuals. the population is increasing by 12% each week.

a) how many ants will be there after :
i. 10 weeks
ii. 20 weeks

b)how many weeks will it take for the ant population to reach 2000.

a) (i) 1553 ants

(ii) 4823 ants

b) 12 weeks

Step-by-step explanation:

Given,

The initial number of ants, P = 500,

Also, the rate of increasing per week, r = 12% = 0.12,

So, the number of ants after x weeks,

a) (i) If x = 10 weeks,

The number of ants would be,

(ii) If x = 20 weeks,

The number of ants would be,

b) If A = 2000

Taking log both sides,

log(4) = xlog(1.12)

⇒ x =  12.23 ≈ 12 weeks

(23*2)-12=x     x=34

step-by-step explanation: