Stella lives in New York and loves to shop. Assume the following conditions

- Stella has a MARR of 3.06% per year

- She buys new clothes every week since the first day of the week, where her baseline value of money spent on clothes per week is $40

- Stella gets paid on the first day of the month, receiving a payment of 1/24 of a yearly salary of $90 000 (ie. gets paid twice a month) and receives a one time bonus of $370 on her first salary payment. Additionally, her salary increases constantly by a %/year, where she receives a 15% increase every 14 months (ie. rate = 15% per 14 months; thus use this to determine % per 12 months

-Lastly, the price of the clothes she buys increases every week by a constant rate. Use the following fact to calculate the appropriate rate of growth: It was discovered that a shirt worth $70.90 in Febuary 2017 is $70.40 in Febuary 2018.

Using the described information, if the baseline value is of the following:

- Clothes/week: $40

- Salary: $90 000

- Length of time in New York: 44 years

a) calculate the present value of Stella's clothing costs, from week 0 to the end of her time living in New York

b) calculate the present value from the first salary payment to the last payment for her time in New York

*Be sure to explain each step, and show formulas used