Powers and Exponents

1) Find the value of 18, 19, and 110. What can you say about the value of any power of 1? Explain the reasoning. 2) A solar-powered water pump system in Desert Range, Utah, has two solar panels, each containing 6 rows of modules. Each row has 6 modules. How many modules are in each panel? Write the answer as a power. Then find the total number of modules in the system. 3) Your cousin, who washes high-rise windows, is assigned a section of 10 rows of windows. Each row contains 10 windows. a. How many windows are in the section? Write the answer as a power. b. Your cousin estimates that it takes 5 minutes to wash one window. How long will the entire job take? c. Ca... click for more

To prove by Principle of Induction. 5^(2n)-4^n is divisible by 7 for any positive integer n.

Prove using the Principle of Induction. 5^(2n)-4^n is divisible by 7 for any positive integer n.

Managerial Accounting Mathematics - Mr. Liao

P3-52; Regression Analysis Mr. Liao, CEO of a manufacturer of fine china and stoneware, is troubled by fluctuations in productivity and wants to compute how manufacturing support costs are related to the various sizes of batches of output. The following data show the results of a random sample of 10 batches of one pattern of stoneware: SAMPLE | BATCH SIZE, X | SUPPORT COSTS, Y 1 15 $180 2 12 140 3 20 230 4 17 190 5 12 160 6 25 300 7 22 270 8 9 110 9 18 240 10 30 320t - Plot s... click for more

Mathematics [Economics]

Suppose the supply and demand for wheat is given by: Supply: Qs = 1800 + 240P Demand: Qd = 2550 + 10I – 266P, Where P = the price per bushel of wheat and I = income. The current value of I is 100. a. Find the current equilibrium price and quantity of wheat sold in the market place. b. Find the equilibrium price and quantity if income increases to 150

Union and Intersection of Sets

Create 2 sets. Set A will be the list of the 5 items you personally need to buy the most (essential items). Set B will be the list of 5 items that you want to buy the most ( fun stuff). List the items in set A and B and also list or state the items in the union and in the intersection of set A nad B Assume that the prices of the items in set A are 20,40,60,70 80. Assume the prices if set B are 90,120,30,60,40 What will the total cost of set A be if it contains one unit of each item? What will the total cost of the union set be if it contains one unit of each item? what will be the total cost of the intersection? What will the total cost of the union and intersection be if you consid... click for more