Question #653bd
1 Answer
Nov 10, 2015
Explanation:
This is, at first, a tricky question. However, once you learn, this type of question is easy to do. I will divide it into steps:
- We start with
2=[1+(0.052/1)]^t . We will use logarithms to solve this. We'll put a 'log' on both sides to start with:log(2) = log([1+(0.052/1)]^t) . - We are going to use a basic log 'trick'. As we know, we can put a power as a multiplication, such that
log(2) = log([1+(0.052/1)]^t) turns intolog(2) = t*log([1+(0.052/1)]) . - Now, we will simply divide in order to leave '
t ' alone. So, we passlog([1+(0.052/1)]) from the right side, where it is multiplying, to the left side, therefore dividing. We end up with:
t = (log(2)) / log([1+(0.052/1)]) . - Now, we simply put those values in the calculator and... Ta ra! We get the answer.
t = 13.67 to 2 decimal points.
Tip: If you put your operations in between Hashtags/Sharps (#) these will convert from Line Format to Math Format
Hope it Helps! :D .