G A sailing ship stopped at several islands, releasing one mating pair of goats onto each one. On the large island, the goats' growth rate was approximately exponential for a long time. If their per capita growth rate is 0.5 per year, how many years will it take before the goat population reaches 1000

12.4 years  

Step-by-step explanation:

Let recall the following,

The number of goats after t years is shown below

N = N₀∧ebt

Let N₀ = the number of the initial goats

b = The capital rate of growth

From the example given,

Let insert the values

N₀ is = 2

b = 0.5

Let N = 1000

So,

1000= 2e∧0.5t

e∧0.5t = 500

0.5t = ln 500 = 6.214

Therefore

t = 6.214/0.5 =12.4

Therefore, the number of years it will take for the goat population to reach 1000 is = 12.4 years  

the answer is d. 75%

312312

step-by-step explanation: