Bucky runs a successful hot dog stand on the Library Mall at the University of Wisconsin - Madison. Bucky has to order her hot dogs, buns, mustard, relish, and all other condiments in bulk, as well as pay taxes, licensing fees, and other small business expenses. Therefore, Bucky has a relatively large 'sunk' cost associated with her business, averaging out to \( \$ 950 \) per week just to keep the cart open. The cost of producing hot dogs is given by the equation: \(C ( x ) = 950 + 0.45 X\).

1. Bucky wants to figure out how much to charge a customer for a hot dog if she wishes to make a \( \$ 0.75 \) profit on each hot dog sold. Suppose Bucky sold \( 150 \) hot dogs in a week. 

show the work please

Problem \(6 : \) Simple Interest Ania just made \(\$ 1000\) selling her NFT. She plans to invest the money, not touching it for \(10\) years. She plans to invest in a money market at \(3.5 \% \) interest, compounded annually. How much money will she have after \(10\) years? 

HINT: Use the formula Total \(= P ( 1 + r ) ^ { t } \) where P = current value of money, \(r = \) interest rate, and \(t = \) time 

Final Amount in dollars (round to the nearest dollar): 

For the period indicated, calculate a) the amount and b) the compound interest. 

1. The principal of Angelo Carrera's savings account is \( \$ 9,855 \) . It earns \( 6 \% \) interest compounded quarterly for two quarters. 

\( 9855 \times 0.06 \times 0.25 = 147.825 \) 

\( 9855 + 147.825 = 10,002.825\) 

The Wonka Chocolate Factory is sending \( 3 \) of its chocolatiers to attend a 3-day workshop on computer assisted graphics. The daily cost of release time is \( \$ 195 \) per person. The registration fee is \( \$ 95 \) per person. Each designer is also given a \( \$ 50 \) per day miscelianeous allowance. What is the total training cost for the company? 

You travelled to Loompaland for a 3-day conference last week. Your travel expenses include the following: airfare, \( \$ 520 \) ; Uber fare, \( \$ 37.90 \) ; meals, \( \$ 157.90 \) ; hotel, \( \$ 125.90 \) per night for 

\( 2 \) nights; conference registration fee, \( \$ 175 \) . What is your total travel expense? 

Wonkavator Lift Company has some unemployment during the winter months and, therefore, must pay a state unemployment tax (SUTA) of \( 5.4 \% \) . That leaves \( 0.8 \% \) for the federal unemployment tax (FUTA). Compute the federal and state unemployment tax for Charlie Bucket who earns an annual salary of \( \$ 45,365 \) .