SOLUTION: The profit P for a product whose sales fluctuate with the seasons is estimated to be P= 14 + 5sin(pit/52), where t is given in weeks and P is in thousands of dollars. Determine the

Question 1012885: The profit P for a product whose sales fluctuate with the seasons is estimated to be P= 14 + 5sin(pit/52), where t is given in weeks and P is in thousands of dollars. Determine the number of weeks it would take for the profit to initially reach $18,000.
I attempted this problem, but when I plug the sin inverse of a number into my calculator, it says there is a math error. Thank you!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

The greatest positive value for ANY
sin function is , so =

in thousands, so
that is $19,000.
---------------------
The problem makes sense, so I can continue

Let

( note that I had to get the angle measured in radians
because of the given

In the 15th week, the profit will reach $18,000
------------
check:

OK
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