How long was money in bank to equal a return of $25,000 compounded continuously.  Show work?
604613
You will use the formula\nA = Pe^(rt)\nA = 25,000\nsince the question is asking for how long, this means you are looking for t.\nYou need to know the interest rate (r) and the principal (P).
88107
Future Sum Formula could be:\n\nF = P (1 + i)^n  where:\n\nF = future sum\nP = present amount (borrowed)\ni = annual interest rate, in decimal\nn = no. of yrs. to be computed\n\nF = 25,000 ( 1 + 3.63% )^3\nF = 25,000 (1 + 0.0363)^3\nF = 25,000 (1.0363)^3\nF = 25,000 (1.0363)(1.0363)(1.0363)\nF = 27,822 after 3 yrs.\n\nLet M = monthly repayment\n\n36M = F = 27,822\n\nM = 27,822 / 36\n\nM = 772.83\n\nTherefore the monthly repayment amount, M, is around 770 Pound Sterling.\n\nThere is a slight variation in the answer perhaps because they (the bank) might have used a different formula or perhaps they used a rounded figure in some of the values. But generally, this is how future amounts are computed if interest is compounded annually. O.K.?
317080
There are countless ways to reach $2 million, but each would require substantial investment (either initially or over time) or interest or other increases in your investment which are many times the normal return.  An interesting rule to compute how your investment increases is the rule of 72.  Your investment money doubles in accordance with the rule of 72.  An example is, it takes 7.2 years for money to double if it is earning 10% interest (7.2x10=72).  If you are only earning 6% interest then it will take 12 years for your money to double (6x12=72).
994193
I sure can.  It is neat to find someone who is looking for practice--I really appreciate that.\n\nSo if I have $20,000 invested for 3 years at 5.5% (compounded annually), how much interest do I earn?\n\nHow about if I have $7,500 invested for 12.5 years at 3.75% compounded annually?\n\nAnd finally, what if I have $12,000 invested for 5 years at 4.8% compounded monthly?\n\nHere are the answers you should get (all rounded to the nearest cent):\n$3,484.83\n$4,382.63\n$3,247.69
625531
The formula is\nA = Pe^(rt), where A is the amount returned, P is the original amount, r is the interest rate, and t is the number of years.\nP = 2000\nr = 2% = .02\nA = 2000e^(.02t)\n"How long will it take?" means you are looking for t.\nIn order to find t, you will need to know A.
866010
If you are using continuously compounding interest, you need to use the following formula...\n\nA = Pe^(rt)    What this means is your future amount is determined by principle multiplied by e to the rate times time.\n\nHopefully that makes sense. \n\nThe site below has a calculator where you can input your information and get a good estimate.
915560
let\nx = amount in growth fund,\ny = amount in income fund,\nz = amount in money market fund\n\n\nx + y + z = $3,200\n0.07x + 0.10y + 0.05z = $250\nx = 2z
1024736
Annual compounding yields $2,100.00\nQuarterly compounding yields $2,184.03\nMonthly compounding yields $2,203.91\nDaily compounding yields $2,213.69\n\nNotice that the gains made as the compounding periods increase is not proportional.  That is, going from annual to quarterly gives you an additional $84.03, but going from monthly to daily only gives you $9.78 added earnings.  So the more compounding periods there are, the less you will gain by adding more compounding periods.
23848
well,\n\nif you gave away actual quarter coins you would have $999,999.25\n\nif you gave away a quarter of a million dollars each time you would have $250,000.00\n\nor if you gave away a quarter of a million dollars the first time and then a quarter of the money that was left and then lastly a quarter of that then you would have $421,875.00
171884
There is not enough information in your question to determine what it is you are trying to find out.\n\nDo you mean to get your $30 back? If it is a dividend of $3 once a year then you would get your money back after ten years.
1148875
The *right* way to figure this out is to use an algebraic\nformula, but I think it's easier to visualize if you use a\nspreadsheet.\n\nIt's slightly difficult to present a table in Yahoo Answers\nbecause everything is jammed hard against the left\nmargin.  [I'm not sure why that's a feature.]  To help\nreduce the column misalignment, I displayed all of the\nnumbers with a constant width (ie. with leading zeros\nwhen necessary).  Bottom line is that you'd have\n$30344.87 at the end of eleven years.\n\nYear == years since start of account (in half year increments)\nRate == interest rate\nBalance == running balance of account\nInterest == interest payment for previous 6 months\n\n\nYear    Deposit     Rate   Balance  Interest\n\n00.00    820.00     0.000  00820.00   0000.00\n00.50    820.00     1.050  01681.00   0041.00\n01.00    820.00     1.050  02585.05   0084.05\n01.50    820.00     1.050  03534.30   0129.25\n02.00    820.00     1.050  04531.02   0176.72\n02.50    820.00     1.050  05577.57   0226.55\n03.00    820.00     1.050  06676.45   0278.88\n03.50    820.00     1.050  07830.27   0333.82\n04.00    820.00     1.050  09041.78   0391.51\n04.50    820.00     1.039  10214.41   0352.63\n05.00    820.00     1.039  11432.77   0398.36\n05.50    820.00     1.039  12698.65   0445.88\n06.00    820.00     1.039  14013.90   0495.25\n06.50    820.00     1.039  15380.44   0546.54\n07.00    820.00     1.039  16800.28   0599.84\n07.50    820.00     1.039  18275.49   0655.21\n08.00    820.00     1.039  19808.23   0712.74\n08.50    820.00     1.039  21400.76   0772.52\n09.00    820.00     1.039  23055.38   0834.63\n09.50    820.00     1.039  24774.54   0899.16\n10.00    820.00     1.039  26560.75   0966.21\n10.50    820.00     1.039  28416.62   1035.87\n11.00    820.00     1.039  30344.87   1108.25\n\nAdditional comment:\n\nOh man, I messed this up.  Thanks to "Mark Taranto"\nfor catching and correcting my mistake.  \n\nI took yet another look at this and want to\nwork through it carefully.  We appear to have\nas many different answers as there are people\nsubmitting solutions.\n\nOn day 1, Joanne put in $820, so that's her's balance.\n\nAfter 1/2 year, the bank would add half of 5% interest,\nwhich is 820*.025 = 20.50 and Joanne would add another \n$820.  So after six months, she would have:\n\n$820 + $20.50 + $820 = $1660.50\n\n\nAfter one year, the bank will again add half of 5% as\ninterest, which would be $1660.50 * 0.025 = $41.51.  \nThen Joanne would add $820, so the new total would be:\n\n$1660.50 + $41.51 + $820 = 2522.01\n\nContinuing this process in the spreadsheet, the\nfinal result after 11 years is:\n\n$23809.46\n\nThe corrected spreadsheet follows:\n\nYear  Deposit  Rate    Balance  Interest\n\n00.0  820.00  0.0000  00820.00  000.00 \n00.5  820.00  0.0250  01660.50  020.50\n01.0  820.00  0.0250  02522.01  041.51\n01.5  820.00  0.0250  03405.06  063.05\n02.0  820.00  0.0250  04310.19  085.13\n02.5  820.00  0.0250  05237.94  107.75\n03.0  820.00  0.0250  06188.89  130.95\n03.5  820.00  0.0250  07163.62  154.72\n04.0  820.00  0.0250  08162.71  179.09\n04.5  820.00  0.0250  09186.77  204.07\n05.0  820.00  0.0195  10185.92  179.14\n05.5  820.00  0.0195  11204.54  198.63\n06.0  820.00  0.0195  12243.03  218.49\n06.5  820.00  0.0195  13301.77  238.74\n07.0  820.00  0.0195  14381.15  259.38\n07.5  820.00  0.0195  15481.59  280.43\n08.0  820.00  0.0195  16603.48  301.89\n08.5  820.00  0.0195  17747.24  323.77\n09.0  820.00  0.0195  18913.31  346.07\n09.5  820.00  0.0195  20102.12  368.81\n10.0  820.00  0.0195  21314.12  391.99\n10.5  820.00  0.0195  22549.74  415.63\n11.0  820.00  0.0195  23809.46  439.72
663445
Only count the ones where CASH is exchanged... in my head I think I came up with a 280,000 positive cash flow. The rest is done and accrued.
827828
(680-350)/350=.943\nso you take how much you sold it for and subtract how much you paid - that equals your profit\nthen you divide your profit by how much you paid for it
297329
one formula you can use is\n\nF = P(1 + i)^n\nwhere,\n\nF = future worth of the money\nP = present worth of the money\ni = interest rate\nn = number of years\n\nsince the future worth of the money will be twice of the present worth, then we can say that,\n\nF = 2P\n\nusing this in the formula you'll come up with,\n\n-> 2P = P(1 + i)^n  \n(divide the whole equation by P)\n-> 2 = (1 + i)^n \n(n is 20 years)\n-> 2 = (1 + i)^20\n(raising the whole equation by 1/20)\n-> 2^(1/20) = 1 + i\n-> 1.035264 = 1 + i\n-> i = 0.035264\n-> i = 3.5264%
457105
You can get a rough but quick estimate by halving the time, calculating the sum+interest and dividing the result by number of quarters. That is x(1+10*0.076)*80=2000000\nor, x= 14200 (approx)
446619
if found d million $ how will i ever know dat i got only 24hours
642651
A=P(1+r/n)^(n*t)\nA = 20,000(1+.08/1)^(1*3)\nA = 20,000(1.08)^3\nA = 25,194.24\n\nThe more frequently you compound, the more money you will make.\n\nA = Pe^(rt)\nA = 20,000e^(.08*3)\nA = 20,000e^.24\nA = 20,000(1.271249150)\nA = 25,424.98