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,
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.
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.
FV = PV x (1+r)5; $100,000 = $65,000 x (1=r)5; 1.53846 = (1+r)5; (1.53846) 1/5 = 1+r; 1.08998 = 1+r; annual rate = 8.998$ 13. PV of Annjuity = Payment x [1-(1+r)-5]/r; $33,520 = $10,000 x [1-(1+r)-5]/r Period 9nper0 = 5; Payment = $10,000; Present Value (PV) = $33,250; Future Value (FV) = $0; Rate of Return =
Then use the multiplication principle and then use the elimination method: 3x=8y+11 x+6y-8=0 9. A vending machine contains nickels and dimes worth $14.50. There are 95 more nickels than dimes. How many nickels and how many dimes are there? 10.
So, 2000 = 30000/Square root of sample size. Solving for the Square root of sample size, we get Square root of sample size = 30000/2000 = 15. Taking its square, the sample size is found as 225. Chapter 9 Exercise 1 No it is not a good defense. If you choose 40 random employees from the corporation, the standard error would equal 6/Square root of 40 = .95 days.
MEP: Demonstration Project Teacher Support Y7B, P17 Practice Book UNIT 17 Arithmetic: Decimals Answers Fractions and Percentages 17.1 Conversion: Decimals into Fractions 1. (a) (d) 7 or 7 tenths 10 (b) 7 or 7 hundredths 100 7 or 7 hundredths 100 (c) (f) 7 units 7 or 7 thousandths 1000 7 or 7 thousandths (e) 1000 2. (a) (b) (c) (d) 0.106, 0.16, 0.601, 0.61, 0.616, 0.661 0.28, 0.4, 0.47, 0.78, 0.82 0.2, 0.23, 0.3, 0.301, 0.32 0.17, 0.19, 0.79, 0.9, 0.91 1 10 1 4 17 1000 3. (a) (e) (i) (b) (f) (j) 9 10 1 1000 71 100 (c) (g) (k) 3 10 1 20 87 100 (d) (h) (l) 7 100 3 1000 210 1000 4. (a) (e) (i) 2 5 3 250 41 125 (b) (f) (j) 2 25 81 500 7 500 (c) (g) (k) 27 50 6 125 1 125 (d) (h) (l) 3 500 21 25 27 250 5.
(4 points) Problem 4: We need 1,000 electric drills per year. The ordering cost for these is $100 per order and the carrying cost is assumed to be 40% of the per unit cost. In orders of less than 120, drills cost $78; for orders of 120 or more, the cost drops to $50 per unit. Should we take advantage of the quantity discount? (4 points) Problem 5: George Heinrich uses 1,500 per year of a certain subassembly that has an annual holding cost of $45 per unit.
It would only be six different amounts. The amounts would be 10 cents using two nickels, 15 cents using a nickel and a dime, 20 cents using two dimes, 30 cents using a nickel and a quarter, 35 cents using a dime and a quarter, and 50 cents using two quarters. [pic] 4. Solve the problem: A long distance phone call costs $1.30 for the first minute plus $0.20 each additional minute. What is the cost of a 6-minute call?
Started on | Monday, 14 April 2014, 7:03 AM | State | Finished | Completed on | Monday, 14 April 2014, 7:08 AM | Time taken | 5 mins 31 secs | Marks | 5.00/5.00 | Grade | 10.00 out of a maximum of 10.00 (100%) | ------------------------------------------------- Top of Form Question 1 Complete Mark 1.00 out of 1.00 Flag question Question text A lump - sum tariff is Select one: a. a fixed fee that an importing firm must pay the domestic government in order to have the legal right to sell the product in the domestic market. b. a restriction limiting the quantity of imported goods that can legally enter a domestic market. c. the fee an importing firm must pay to the domestic government on each unit it brings into the domestic market. d. none of the statements associated with this question are correct. Question 2 Complete Mark 1.00 out of 1.00 Flag question Question text An import quota is Select one: a. the fee an importing firm must pay to the domestic government on each unit it brings into the domestic market.