Suppose that Sky-High is predicting 25 percent annual growth, on a current base of 90,000 customers.  If the growth pattern holds, how many customers will Sky-High have in three years?  If it takes about 12 minutes to enter a new customer into the system, how many additional data entry operators will need to handle the growth next year?  Assume that an operator works about 2,000 hours per year.  Also, assume a 30-percent annual attrition rate for existing customers.\n\nSuppose Castle Point wants to print a catalog of current items.  How long would it take to print a list of 2,500 items, at five items per page, on a laser printer rated at 20 ppm?
206705
Wow, that's a lot of questions for one question!  I'll try to answer the one mentioned in the title, which happens to be the easiest ;)\n\nTo print a catalog of 2500 items, 5 items per page, at 20 pages per minute:\n\n2500 items / 5 items/page = 500 pages\n\n500 pages / 20 pages/minute = 25 minutes\n\nNow, of course, printer specs for ppm aren't always accurate, and assume things about the "average" page which might not be true of your particular pages (e.g. amount of graphics or use of color on the page), so it could take longer.  Also, many desktop printers don't hold 500 pages in their input tray, so you might have to stop to add more paper.
526102
One year ago,   sales were    25990510/1.30 = 19992700.\nTwo years ago, sales were    19992700/1.30 = 15379000.\nThree years ago, sales were 15379000/1.30 = 11830000.\nFour years ago, sales were    11830000/1.30 =  9100000.\nFive years ago, sales were       9100000/1.30 =  7000000.\nSix years ago, sales were         7000000/1.30 = 5384615.38\n\nHope this helps :-)
458326
You need to find the point where supply equals demand\nD = S\n200p + 35,000 = -p^2 + 400 - 20,000, and solve for p
630775
I have rented commercial space and there are some questions that you need to answer for your self:\n1.  What is my budget for this space?\n2. Does my budget include renovating the space to meet my business needs?\n3. What will be the cost of related insurance for the property? What will be the cost of any business license?\n4. Where is the location of my target customer? \n5.  How is my target customer going to reach me? (transportation to site)\n6.  Do I need a road frontage location for visibility or could a strip mall space accommodate my needs?\n7. What size space is the maximum and minimum I could live with?\n8.  Is there an opportunity to lease-option the site, so that if (no when) I get my business going well, I could consider purchasing the real estate?\n9.  When you find a site: who are your neighbors?\n\nGood luck with your business.  I am not a Realtor, but a mortgage lender in 38 states.  Please e-mail me if you need a referral in your area or would consider purchasing a commercial space and have questions.
408099
Basically this is a class on "what if" scenarios.  "What if the company raises the price of a widget by $1.25?  What will that do to our sales?  What is the projected increase or decrease in sales stated in terms of a percentage?"\n\nIt is more complicate than that but that is essentially it.
203743
I can only comment on our network marketing company that we are distributors for. as we have been going for 27 years , with no debt, every country we open a head office in we buy it cash... We are currently in 114 countries. \nwe dont owe anyone money and our turnover in uk was 34 million and rising.we are ranked the 2nd successful mlm. I cant see any way possible that this would suddenly fold and the distributors lose out. The assets our company own include south fork in Dallas plus a number of other resorts worldwide. \nI feel safe with my company but you never stated which one you are joining and how long they have been going. I would be wary of joining any networking company that did not have a proven track record. before you sign do your homework, get as much info on the co as poss.\nI loved the whole concept of our company and they way that it works, I have since looked at a few other mlm and found their way does not benefit the distributor as much, but that does not mean to say there arent other good ones out there. If you would like to know more dont hesitate in contacting me but include a email for me to contact you back. I think speaking to someone else can help as you get a different view on things and good ideas!!
389334
QUESTION1 -- Profits = Revenue - Cost, so you want to come up with an equation for profits using R(x) and C(x), then use differentiation to determine your maximum.  Let P(x) = profits.  So:\n\nP(x) = R(x) - C(x) =\n50x - 0.5x² - 9x - 3 =\n-0.5x² + 41x - 3\n\nP '(x) = -x + 41\nP '(41) = 0  << so you have a min or max at x=41\n\nP ''(x) = -1\nP ''(41) = -1  << tells us x=41 is a max\n\nSo, answer for #1 = Maximum profit at x=41\n\nQUESTION 2 -- Let x = side of base, so L and W each = x since the base is a square.  The height is unknown, but we can solve for it since we know the volume.\n\nV = 57 ft³ = x²h,\nso h = 57/x²\n\nWe want to maximize surface area, so let's first get our formula (all in terms of x) for the surface area:\n\nS(x) = x² + 4(x*57/x²) = x² + 228/x\n\nMaximize same way we did above using differentiation:\n\nS '(x) = 2x -228/x²\n\nS '(x) = 0 when 2x = 228/x², i.e., when x³ = 114; i.e., when x = cube.rt(114) ft.\n\nSo the dimensions of your box are L = W = x = cu.rt.(114), and h =  57/x² = 57/114^(2/3) ft.\n\n~ ♥ ~
364892
40B + 75D = MAX\n5B + 10D <= 600\n4B + 3D <= 240\n\nD = 60, B = 0\n0 + 4500 = 4500\n\nD = 0, B = 60\n2400 + 0 = 2400\n\nB <= 120 - 2D\nB <= 60 - .75D\n120 - 2D = 60 - .75D\n1.25D = 60\nD = 48, B = 24\n960 + 3600 = 4560\n\nSo the maximum profit is $4,560\n\nI apologize if this doesn't make a lot of sense. It is difficult for me to make a point without showing you the graph.
593255
Let x = product 1, y = product 2, and z = product 3\nP = 50x + 20y + 25z\n9x + 3y + 5z <= 500\n5x + 4y + 0z <= 350\n3x + 0y + 2z <= 150\n"SALES POTENTIAL FOR PRODUCT 1,2 EXEEDS THE MAX PRODUCTION AND FOR3. 20PERWEEK"\nI'm not quite understanding this sentence.\nWhat is the max production?\n\n"AND FOR3. 20PERWEEK" I interpret that as z >= 20
658753
Figure out how many total hours of photocopying are being done, then figure out how many hours each of 8 copiers would have to work to do the same total number of hours.\n\n[ADDED] These people saying 16 are astoundingly dumb.  If it takes just 6 hours for 3 copiers, how can it take 16 hours for 8 copiers?  It's NOT a proportion problem.  Dummmm dum DUM dummmm.\n\nThere ARE a couple of people on this page with the right answer, though.
34197
Okay, hopefully my quick math is correct....\n\nApril 1st we have 47 rats\nJune 1st we have 900 rats\n\nGrowth model N=No e^k*t  could be re written as:\n\nln(N/No)=k*t\n\nln = natural logarithm\nN = End result of rats\nNo = Beginning amount of rats\nk = growth constant\nt = time\n\nSo, our equation we have \n\nln(900/47) = k*61   (61 is the days from April 1 - June 1)\n\nWhich gives us a growth model of\n\nN=No e^(0.04839*t)\n\nAlrighty...From April 1 - Dec 1 it's approx 240 days\n\nPlugin the numbers  x=amount of rats on Dec 1\n\nln(x/47)=0.04839*240 = 5,197,808.236\n\nWe get approx. 5,197,808 rats on Dec 1st  (alot of rats)\n\nNow you ask when will there be 10000 rats...we plug in our numbers....    t=how many days it'll take\n\nln(10000/47)=0.04839*t = 110.7706 days\n\nSo, approx 111 days from April 1st to reach 10000 rats
102158
The limit as sky goes to zero from the positive direction would be ground.\nLim    = ground\nsky-->0+\n\nThe limit as sky goes to zero from the negative direction is space.\nLim    = space\nsky-->0-\n\nSince the limit from the + site does not equal the limit from the - side, the limit does not exist.
233058
> How many surveys should be sent out to get a given response rate?\n\nObviously you can't control the response rate by sending out more or fewer surveys.  The response rate is determined by how many of the recipients choose to respond.\n\nIf you believe each response is independent of any other and that the responders are a representative sample, then variance = N p q = 390 * (1/2) * (1/2) = 97.5 (for a standard deviation of 9.87 which is about 2.53% of the 390).\n\n95% is about +/- 1.96 standard deviations, right?  That exceeds +/- 3% ... it is more like +/- 4.96%, you need more responses.
242647
Dear Business Leader\n\nYou may already be familiar with the XYZ project currently taking place in your area.  I would like to announce that the implementation of this project has been very successful.\n\nThis project covers system & business process changes.  The successful implementation will bring new opportunity to you and other business leaders.\n\nPlease contact me if you have any questions or would like to discuss how this project will directly affect your business.\n\nSincerely,\n\n\nProject Coordinator and Announcer
493187
1st step: OK we need to know how many times  faster the car went on the way to the service station than on the return trip:\n49/16=3.0625 times faster on the way up than the way back. \n\n2nd step: find the how much time it took on the way up and the way back. \n\nNow comes the Algebra:\nif we let X stand for the way up, the equation for the round trip would be:\n X+ 3.0625X= 4\n4.0625X=4\nX=4/4.0625\nX=.985 \n\nso the time up = .985 hours and the time back = 4 -.985, or 3.015 hours.\n\nso how far is the station? well, it's 49km/h x .985 h, (using the data for the trip to the gas station) or:\n\n48.265 km\n\nok we're DONE!!\n\nPS: I have a sneaking suspicion that if you look at the problem again, you might find it said 48 km/h on the way up, which would work out to be that the trip was EXACTLY 3 times faster on the way up. ok just a hunch. But from what you gave me, that is the answer.
150154
Hi - I work for Palo Alto Software, makers of Business Plan Pro, and I would be happy to help you.\n\nThe best way to approach the financials is to take it step by step. I would start with the Sales Forecast and begin by forecasting your expected sales for your first 12 months. If you choose to use the "units-based" sales forecast, you are going to forecast the number of items you plan to sell each month and then give each item a price that you expect to sell it for. This is the "unit price." Business Plan Pro will automatically multiply the number of units you plan to sell by the price to determine your total sales.\n\nThe next step is to determine your "cost of goods." This is essentially what it costs you to produce the item that you are selling.\n\nTo simplify the entire sales forecast, you can choose to do a "values based" forecast. This gets rid of all the discussion around "units" and allows you to simply enter in the total dollar amount of your expected sales each month.\n\nAfter you have completed your sales forecast, you should move on to the Profit and Loss. The P&L is simply a list of your monthly expenses. Add additional rows to list additional expenses or delete rows that aren't relevant to your business.\n\nOnce you have completed your Sales Forecast and your P&L, you will find that you are well on the way to a complete business plan. Business Plan Pro will automatically complete your Cash Flow and Balance sheet based on your data.\n\nThere's obviously much more to business plan financials than I can explain here, but I think you will find that there is a wealth of information available to help you right in the software. Let me summarize your help options:\n\n1. The Table Wizards can guide you step by step through each financial table. You can access the wizards by clicking on the "table wizard" link in the instructions area for any table.\n\n2. The help files that you can access from the Help menu in the software have detailed explanations of each table as well as a complete financial glossary to help explain financial terms. Use the search feature in Help to find exactly what you are looking for.\n\n3. "row by row" help is available for every single row in every table. Just click on a row and a description of that row will be displayed at the bottom of the table.\n\n4. Finally, we offer free monthly webinars to help you with the software. You can find a schedule of those webinars here:\nhttp://www.paloalto.com/training/\n\nGood luck with your plan and please let me know if you have any specific questions that you would like help with.
476623
the answer is 0.2875\nEXPLANATION:\n\nLow risk(LR) = 0.1,\npercentage Number of low risk Customers(PNLR) = 25% ( 0.25)\n\nHigh risk(HRLN) = 0.35,\npercentage Number of high risk customer = 75% ( 0.75)\n\nMr. Z can either be low risk or High risk because he was selected at random.\n\nProb. of Mr Z having accident =( LR x PNLR) or (HR x PNHR)\n                                                =(0.1 x 0.25) + ( 0.35 x 0.75)\n                                                = 0.2875