Projects 1,3,5 - Math Problem Example

Both of these particular dishwashers are 24 inch dishwashers, which makes them comparable. They both offer front control operation on their doors, and both offer a 1 year limited warranty. At first, it appears that the Hotpoint dishwasher will come out on top, as it starts out with the lower price point, beating out the sale price of the GE by a difference of $70.10, and beating the non-sale price of the GE by $110.00. Is it worth the additional hundred dollars to get the GE? The approximate operating cost per year of the Hotpoint is $24, while the GE has an approximate annual operating cost of $29.

This brings the price difference up to $75.10 on sale or $115 standard for the first year. Whether or not this price difference is worth it, depends strongly on whether or not the additional features that the GE brings to the table are worth it to the person making the purchase. The GE offers a lower decibel level (it runs quieter than the Hotpoint), has a hard food disposer and water filter, has six different wash levels (two more than the Hotpoint), a stemware holder, a steam prewash setting, the silverware rack on the door (instead of contained in the lower rack itself), and nylon racks instead of the PVC racks that the Hotpoint has to offer. . /Appliances-Dishwashers-Disposers-Dishwashers-Built-In-Dishwashers/h_d1/N-5yc1vZc3njZ1z10atjZ1z141o3Z1z10atj/R-203604506/h_d2/ProductDisplay?

catalogId=10053&langId=-1&storeId=10051#.UR52tmewV8E Hotpoint Front Control Dishwasher in White: http://www.homedepot.com/Appliances-Dishwashers-Disposers-Dishwashers-Built-In-Dishwashers/h_d1/N-5yc1vZc3njZ1z10atjZ1z10atj/R-203547883/h_d2/ProductDisplay?catalogId=10053&langId=-1&storeId=10051&superSkuId=203153378#specifications (Insert name and box number here) MA120 BID:294 February 18, 2013 Project 3: Systems of Equations Part A: Solving a System of Linear Equations BID: 294 [a]x +3y-z=4 2x-[b]y+7z=12 x+2y+[c]z=18 ----------------------- 2x+3y-z=4 2x-9y+7z=12 x+2y+4z=18 ------------------------ x = 38/29, y = 46/29, z = 98/29 The url used to solve this equation was: http://wims.unice.fr/wims/en_tool~linear~linsolver.en.html Part B: Applications of Systems of Linear Equations The stopping distance of a car traveling at 25 mph is 61.7 ft. and for a car traveling at 35 mph it is 106 ft.

The stopping distance in feet can be described by the equation y = ax2+ bx, where x is the speed in mph. What is the stopping distance for a car traveling 55 mph? 625a+ 25b = 61.7 1225a+ 35b = 106 ---------------------------------- a = 0.056057142857143, b = 1.066571428571429 3025a+ 55b =y 169.572857143 + 58.6614285714 = y y = 228.234285714 The stopping distance of a car traveling 55mph would be 228.23 ft. (Insert name and box number here) MA 120 BID: 294 18 February 2013 Project 5: Linear Programming Applications An automobile manufacturer makes cars and trucks in a factory that is divided into two shops.

Shop 1, which performs basic assembly, must work five man-days on each truck, but only two man-days on each car. Shop 2, which performs finishing