Problema Solution
the population in daly city is presently in 100,000. the city grows at an annual rate of 1.2%. find the number of years it takes for the population to grow to 150,000
Answer provided by our tutors
let 't' represent the number of years it takes for the population to grow to 150,000
100,000(1 + 0.012)^t = 150,000
by simplifying we get:
2*1.012^t = 3
click here to see the step by step simplification:
2*1.012^t = 3 divide both sides by 2
1.012^t = 3/2
log(1.012^t) = log(3/2)
t log(1.012) = log(3/2)
t = log(3/2)/(log(1.012))
t = 33.99 years
or if we round to integer:
t = 34 years
click here to see the step by step calculation:
it takes 34 years for the population to grow to 150,000.