Question 1104616
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You are working the same problem by two different methods; if your methods are right, you should be getting the same answer both ways.<br>
Your problem is that you need to keep more decimal places in the value of k if you use the At=A0e^kt formula.<br>
The value of k corresponding to a growth factor of 14 over each 3 month period is ln(14) = 2.6390573 (to 7 decimal places).<br>
When I solve the problem using that many decimal places, I get the same 109760 answer.
When I use 2.64 for ln(14) (rounded to only 2 decimal places), I get your 110071 answer.<br>
In general, because of the rapid growth nature of exponential growth, you need to keep a large number of digits in your value of k to get several digits of accuracy in your answer.