multiples of 6 = 6, 12, 18, 24 , 30, 36 ,42 , 48
multiples of 8 = 8, 16, 24,32,40,48
24 & 48 are the common multiples
so there is a 2 out of 48 chance which is 2/48 which reduces to 1/24 probability
Answer:
Hello,
Step-by-step explanation:
using Thalès 's théorem :
x≈6.7 (i don't know what d.p. means , perhaps 1 decimal after the point)
For this case, the first thing we should do is use the following equation:
f (x) = 200 (1.03) ^ x
We substitute f (x) = 300:
300 = 200 (1.03) ^ x
We clear the value of x:
log1.03 (300/200) = log1.03 ((1.03) ^ x)
x = log1.03 (300/200)
x = 13.72
Answer:
the population will first reach 300 in about 13.72 years.