Final answer:
To solve for t in the equation, substitute the given values and rearrange the equation to isolate t. The solution for t is approximately 3.96 months.
Step-by-step explanation:
To solve for t in the equation, we need to rearrange the equation to solve for t.
Let's substitute the given values: 999 = 200 x (1 + (0.0439/365))^365t.
Next, we can take the logarithm of both sides to isolate the exponent: log(999/200) = 365t x log(1 + (0.0439/365)). Finally, we solve for t by dividing both sides by 365 x log(1 + (0.0439/365)) and simplifying.
The solution for t is approximately 3.96 months.