Ineed with the question below in the attachment

answer:

5.89 (but make sure to double check all this yourself)

step-by-step explanation:

let's plug in the t values for   1, 2, and 3 hours (60, 120, and 180 minutes) and see if there any obvious pattern.

pminute(60)=5*(1.03)^60

pminute(60)=29.4580155202

pminute(120)=5*(1.03)^120

pminute(120)=173.554935678

pminute(180)=5*(1.03)^180

pminute(180)=1022.51679776

(i did not show steps for simplifying equations because the questions states the use of a calculator is allowed, however if needed i can show these steps.)

now we have values for 1, 2, and 3 hours, it is clear that the number grows by around a factor of 6 every hour (using estimation, 30*6=180, 180*6=1080)

to find the exact factor, we can divide 173.554935678 by 29.4580155202, which gets us 5.89160310405. we can verify this is the correct factor, as

29.4580155202 * 5.89160310405 is (obviously) 173.554935678, and 173.554935678 * 5.89160310405 is 1022.51679776, the value at three hours.

now we round 5.89160310405 to two decimal places, and since 1(in the thousands place)< 5 we do not round the 9 in the hundreds place up. thus the answer is 5.89.

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explanation: