MHB Is my answer correct? (Exponential Functions)

[tardisblue]

13) The temperature of a cup of coffee can be approximated by the equation $$T(t) = P(\frac{441}{450})^t$$, where T is the temperature in Celsius, t is time in minutes and P is the initial temperature of the coffee. If the initial temperature of the coffee is 102 degrees celsius, when will the coffee be 60 degrees celsius?

So, my answer was that the coffee will be 60 degrees celsius after 26.4 minutes. Is this correct? I can show my work if it's wrong. Thanks.

 

[Evgeny.Makarov]

WolframAlpha says the answer is $t=26.265$, which is pretty close to your answer.