Steve - you answered this question earlier for someone else and gave them the formula for how to answer it. I have the same problem in my homework and have used the formula you gave, but have got an answer that does not appear in the answer options.
I got 12.75
Would you be able to show your workings and help me to get the correct answer please?
the population growing at an annual rate r will triple in a time t given by the formula t = ln 3/r If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple?
a. 6 . 6 years
b. 1 years
c. 5 . 3 years
d. 2 . 2 years
e. 12.2 years
done
http://www.jiskha.com/display.cgi?id=1467924046
You might check your previous posts before wasting everyone's time posting it all over again...
To solve this problem, we need to use the formula you mentioned: t = ln(3)/r, where t represents the time it takes for the population to triple, and r is the growth rate.
First, let's calculate ln(3). Using a calculator, we find that ln(3) is approximately 1.0986.
Next, we need to convert the annual growth rate of 9% to decimal form. To do this, divide the percentage by 100: 9/100 = 0.09.
Now, we can substitute the values into the formula: t = 1.0986/0.09.
Using a calculator, we find that t is approximately 12.206. So, according to the formula, it will take approximately 12.206 years for the population to triple.
However, the given answer options are not an exact match to this result. The closest option is "e. 12.2 years." It appears that the answer options are rounded, so 12.2 is the most appropriate choice.