I'm really struggling to figure out the horizontal shift on this assignment. All of my other values are correct but my horizontal shift just isn't coming out right. I was assuming the horizontal shift of the cos function would be -pi/12 while the sin would be -pi/24, but when I plug these numbers into their respective functions, the horizontal shift says 1/2. Can someone just check my work? I only have 260 points but I'm willing to give all of them.

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a.this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b.this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )

Ibelieve the answer your looking for is d.