The number of terms is n=10, the first term is a1=525, the common ratio is r = 1.05. Although the initial balance is $500, a1 = $525 because the first term of the sequence is at the end of the first year, so it must include the interest on the $500. The ending balance can now be found An = a1(rn-1) A10 = 525(1.05)9 A10 = 525(1.55132822) A10 = 814.447316 814.447316 can be rounded to 814.45, thus showing that the ending balance after 10 years is $814.45. The formula to solve this problem was found on page 229 in in Mathematics in Our World (Bluman,
K12_1821161 $500 Answer from 3 Jan 9, 2014 1:03:23 PM Page 34. Blackboard Collaborate ?? K12_1821161 $100 Question from 4 Jan 9, 2014 1:03:23 PM Page 35. Blackboard Collaborate ?? K12_1821161 $100 Answer from 4 Jan 9, 2014 1:03:23 PM Page 36.
Cost – Residual Value $40,000 - $5,000 Years of Life 5 Depreciation $7,000 Annually Depreciation Schedule: Straight - Line Method Year Computation Depreciation Expense Accumulated Depreciation Book Value $ 40,000 First 35,000 x 1/5 $7,000 $ 7,000 $ 33,000 Second 35,000 x 1/5 $7,000 $ 14,000 $ 26,000 Third 35,000 x 1/5 $7,000 $ 21,000 $ 19,000 Fourth 35,000 x 1/5 $7,000 $ 28,000 $ 12,000 Fifth 35,000 x 1/5 $7,000 $ 35,000 $ 5,000 Total $35,000 2. 200 percent declining-balance. Depreciation Schedule: 200% Declining-Balance Method Year Computation Depreciation Expense Accumulated Depreciation Book Value $ 40,000 First $40,000 x 40% $16,000 $ 16,000 $ 24,000 Second $24,000 x 40% $9,600 $ 25,600 $ 14,400 Third $14,400 x 40% $5,760 $ 31,360 $ 8,640 Fourth $8,640 x 40% $3,456 $ 34,816 $ 5,184 Fifth $5,184 - $5,000 $184 $ 35,000 $ 5,000 Total $35,000 3. 150 percent declining-balance. Depreciation Schedule: 150% Declining-Balance Method Year Computation Depreciation Expense Accumulated Depreciation Book Value $ 40,000 First $40,000 x
How much is National Income? 8. Given: wages, salaries, and fringe benefits = $6.1 trillion; interest = $400 billion; profits = $500; depreciation = $550 billion; rent = $150 billion; and indirect business taxes = $250 billion. Find National Income, NNP, and GDP. 9.
Copper: 1. M A S S (g) Volume (mL) 2. Slope is equal to rise over run therefore 50.11/5.5 = 9.11 g/ml 3. Volume = Mass/Density 8 Gauge = 1.17 mL 18 Gauge = .22 mL 4. r = .313cm for 8 gauge wire r = .101cm for the 18 gauge wire 5. Actual Density = 8.9333 g/mL Percent error = 1.97% Questions: 1.
1. Identify the amounts for the current year for the following categories: Current Liabilities $5,825,000 Total Asset $32,800,000 Income from Operations $1,700,000 Accumulated Depreciation $26,100,000 Total Operating Revenue $35,100,000 Current Portion of Long-Term Debt $525,000 Interest Income $80,000 Inventories $900,000 2. Metropolis currently has $1,150,000 in cash. How long would it take them to accumulate $2,000,000 in cash? Assume an interest rate of 5 percent.
0.4 m = ____4_____ cm Determine the correct metric volume: 4. 1300 mL = ____1.3_____ L 5. 8.01 L = ___8010______ mL Determine the correct metric weight : 6. 0.6 mg = ___600______ mcg 7. 40 mg = ___0.04______ g 8.
FORECAST BASED ON DECOMPOSITION t Y SEASONAL RATIOS FORECAST JAN08 FEB08 MAR08 APR08 MAY08 JUN08 JUL08 AUG08 SEP08 OCT08 NOV08 DEC08 61 62 63 64 65 66 67 68 69 70 71 72 10282 10352 10423 10493 10563 10633 10704 10774 10844 10914 10985 11055 0.4623 0.4846 0.4657 0.3814 0.6183 0.8038 0.8484 1.1745 1.6681 1.7447 2.1490 1.1991 4753 5017 4854 4002 6531 8547 9081 12654 18090 19043 23606 13257
Here is how we think about it: It is $100 for the first 10 feet. After that it is $25 for each additional 10 feet. This tells us that it is arithmetic sequence because we are multiplying. N= the number of terms altogether N= 8 D= the common difference D=25 A1= the first term A1= 100 An= the second term An= a8 Next, we need to compute what a8 is. An= a8+ (n-1) d A8= 100+ (8-1)25 A8=100+7(25) A8=100+200 A8=300 Now that we know what A8 is, we need to know what the sum of the sequence is from A1 to A8.
Stock Number Annual $ Volue J24 12,500 R26 9,000 L02 3,200 M12 1,550 P33 620 T72 65 S67 53 Q47 32 V20 30 What are the appropriate ABC groups of inventory items? (4 points) Stock Number Annual $ Volume % of Annual Volume % of Total Class: J24 12,500 46.21 79.48 A R26 9,000 33.27 L02 3,200 11.83 19.85 B M12 1,550 5.73 P33 620 2.29 T72 65 0.24 0.67 C S67 53 0.20 Q47 32 0.12 V20 30 0.11 Total Annual Volume 27,050 Problem 2: Assume you have a product with the following parameters: Holding cost per per unit Order per order What is the EOQ? What is the total cost for the inventory policy used? (4 points) Problem 3: Assume that our firm produces type C fire extinguishers. We make 30,000 of these fire extinguishers per year.