Kenneth S. answered 10/26/16
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Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018
The sales tax is irrelevant.
Figure out the starting $ in the account for the first month. Call that P. Multiply by (1+0.05/12) to incorporate 5% interest for one twelfth of a year. Now re-label this result P and then add in $15 for the next month. So the P value used for the second month's calculation will have been slightly increased (for interest) and also by a new $15.
Repeat for months 2, 3, 4, 5 and 6. The difficulty of this is that you said saving $15 every four weeks and this time interval is slightly less than most months(except February of non-leap years). I have ignored this time-period difference.
You have to do the set of six calculations, each one using the latest "P".