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Question 314555: I am confused to which formula to use to solve the following
After what time will the interest on a certain sum of money at 10% per annum be half of the intial amount.
I have the rate at 10% and know that I need to find the principal and know that the initial amount will be half.
Do I do time / rate?
0.5 / 0.1 = 5 years?
Help!!

Click here to see answer by nerdybill(7384)

Question 314634: Describe an investment that could be represented by the function f(x)=1200(1.065)^x.
I'm wondering if they're asking to solve for x or something else? I'm assuming the rate is 1-1.065= 0.065 which means the rate is 6.5% and the principle is P=1200.
Click here to see answer by nerdybill(7384)

Question 314982: S=R-rR solve for R when S = 186 and r= 0.07
Click here to see answer by solver91311(24713)

Question 314796: I am planning to purchase tickets for large group of people.
I have to end up with 105 tickets total. For every 15 tickets we buy, we get one free.
What is the formula or equation to calculate this type of "buy 15, get 1 free" problem.
Thanks, G. Brown

Click here to see answer by checkley77(12844)

Question 315111: Kevin invested part of his $10,000 bonus in a cd that paid 6% interest, and the rest in a fund that paid 11% interest. If his total interest was $900, how much did Kevin invest in the fund?
Click here to see answer by mananth(16946)

Question 315150: 1.Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony�s age. How old is each?
Click here to see answer by toni16951(1)

Question 315151: 2.Salisbury High School decided to take their students on a field trip to a theme park. A total of 150 people went on the trip. Adults pay $45.00 for a ticket and students pay $28.50 for a ticket. How many students and how many adults went to the park if they paid a total of $4770?

3.Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have?
Click here to see answer by checkley77(12844)

Question 315443: How do police determine how fast a car had been traveling after an accident has occurred? The formula r=25L can be used to approximate the speed r, in miles per hour, of a car that has left a skid mark of length L, in feet. How far will a car skid at 55 mph? at 90 mph?
Click here to see answer by malaydassharma(59)

Question 315530: Some people look forward to retiring from work by the age of 65. Compare the amounts at age 65 that would result from making an annual deposit of $1000 starting at age 20, or from making an annual deposit of $3000 starting at age 50, to an RRSP that earns 6% interest per annum, compounded annually. What are the final amounts for both situations and state which one is more profitable.
I know how to get the answer the only thing I'm iffy about is the amount of years.
For Option 1, is it (65-20=45 years) of saving or 46 years? Same thing with Option 2, is it (65-50=15 years) or 16 years? I'd really appreciate it if someone could help me out. Thanks in advance.
Click here to see answer by Edwin McCravy(20055)

Question 315557: Interest Compounded Continuously.
Suppose that Po is invested in a savings account where interest is compounded continuity at 3.1% per year.
A. Express P(t) in terms of Po and 0.031.
B. Suppose that $1000 is invested. What is the balance after 1 yr? After 2yrs?
C. When will an investment of $1000 double itself?
Click here to see answer by solver91311(24713)

Question 315596: Find an equation of the line containing the point (2, -5) and having slope m = 1.
Click here to see answer by solver91311(24713)

Question 315598: Divide and simplify (x^2+8x+15)/(x+5)�(x^2-9)/(7x-21)
Click here to see answer by unlockmath(1688)

Question 315603: Solve 5y � 8 + y = 9y + 23 � 6y
Click here to see answer by unlockmath(1688)

Question 315597: Collect the terms -5y + 6x + 4 + y -3x � 7
Click here to see answer by unlockmath(1688)

Question 315602: Find an equation of the line containing the points (-3, 1) and (-1, 3).
Click here to see answer by jim_thompson5910(35256)

Question 315602: Find an equation of the line containing the points (-3, 1) and (-1, 3).
Click here to see answer by nyc_function(2741)

Question 315602: Find an equation of the line containing the points (-3, 1) and (-1, 3).
Click here to see answer by stanbon(75887)

Question 315599: Solve the equation 8/(x-6)+8/(x+6)=1
Click here to see answer by Fombitz(32388)

Question 315681: a college paid $1748 for 46 calculators. They paid $9 for each scientific calculator. all other graphing calculators cost $55 each how many of each calculator was ordered
Click here to see answer by nerdybill(7384)

Question 315983: A pair of shoes on sale is labelled "20% off the marked price". If the shoes were priced at 45 euro, calculate the sale price.
By selling jackets at 260 euro,a store makes a profit of 30%. What was the cost price of each jacket?
During a sale the selling price of the jackets is reduced by 10%. What was the percentage profit on the jackets during the sale?
A wholesaler bought 20 refridgerators for seven thousand euro and sold them for 390 euro each. Calculate the percentage profit, correct to 2 decimal places.
Click here to see answer by unlockmath(1688)

Question 315984: A car can be purchased on credit by payments of 410 euro each month, over a period of 36 months. Calculate the price of the car if purchased on credit. The cash price for the car is 14,000. Calculate the extra cost of the credit as a percentage of the cash price, correct to 2 decimal places.

An i-pod can be purchased for 380 dollars cash. Alternatively, it can be paid for over a year by monthly instalments of 34 dollars. Calculate the extra cost of the credit option. Express this cost as a percentage of the cash price, correct to 1 decimal place.
Click here to see answer by rfer(16322)

Question 316142: This question has defeated me for 3 days, hope someone can help.
Find the cost of painting a sphere of diameter 2 meters which is to be used as a playground decoration. The paint comes in 5 liter tins and costs 38.50 per tin. Coverage is 9 meters squared per liter.
The council is also considering painting a cube of side 2 meters, would this option be cheaper?
Any help would make my day. Hell, it would make my week!
Click here to see answer by Fombitz(32388)

Question 316341: Find the future value "A" or the total amount due at the time "T" for:
p= $5000 r= 8% t=3 years
Click here to see answer by rfer(16322)

Question 316332: a 30 year old worker plans to retire at age 65. He believes that $750,000 is needed to retire comfortably. How much should be deposited now at 5.5% compounded continuously to meet his retirement goal?
Click here to see answer by checkley77(12844)

Question 316310: c)Write an algebraic expression that illustrates your remaining funds after paying for equipment, rent, and utilities. How much money is left? Simplify the expression by following the rules of Order of Operations.
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Click here to see answer by checkley77(12844)

Question 315439: Between what two consecutive integers is 78 ?
Click here to see answer by moshiz08(60)

Question 316657: How much money will there be in the account after the given number of years for the following: P= $3000, R= 5% COMPOUNDED SEMIANNUALLY,t=5 years
Click here to see answer by stanbon(75887)

Question 316660: How much money should be deposited today in an account that earns 10.5% compounded monthly so that it will accumulate to $22,000 in four years?
Click here to see answer by nerdybill(7384)

Question 316659: How much money will there be in the account after the given number of years for the following
P=$25,OOO, R=5.5% COMPOUNDED DAILY t=20 years
Click here to see answer by checkley77(12844)

Question 316658: How much money will there be in the account after the given number of years for the following
P=$4,000 r= 4.5% COMPOUNDED MONTHLY, t= 3 years
Click here to see answer by nerdybill(7384)

Question 316661: using the effective annual yield formula, which of the following is a better investment. 5% compounded monthly or 5.25% compounded quarterly
Click here to see answer by nyc_function(2741)

Question 316774: 1. You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an $80,000 loan from your family and a $38,250 small business loan. These loans must be repaid in full within 10 years.
a. What integer would represent your total budget?
b. You will use 25% of your budget to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.
c. How much money will rent and utilities cost? Explain how you arrived at this answer.
d. Imagine an investor has increased your budget by $22,250. The investor does not need to be repaid. Rather, he becomes part owner of your business. Will the investor contribute enough money to meet the cost of rent and utilities? Support your answer and write an equation or inequality that illustrates your answer.
e. This equation illustrates your remaining funds after paying for rent and utilities. How much money is left? Explain how you arrived at your answer.
$38,250 + $80,000+ $22,250-0.25($80,000 + $38,250) =

Click here to see answer by Theo(13342)

Question 316734: An error in recording bank charges caused the computer
to mistakenly take $17 each month in charges
from Alison�s checking account for 9 months and $19
a month for the next 4 months. The error was corrected
after 13 months. How much did the bank owe
Alison? Write a numerical expression, involving some
negative integers, that shows how you could solve the
problem.
Click here to see answer by Fombitz(32388)

Question 311753: A student deposits $20 each month in a Holiday Club account at her bank. The account pays no interest. Write an equation that expresses the amount in her account in terms of the number of deposits
Click here to see answer by cfbass33(1)

Question 318347: Does anyone know how to solve the compound interest formula for RATE?
Likely we are all familiar with the compound interest formula, thus:

Where:
A = amount
P = principle
r = rate (percent written as a decimal term)
n = number of compounding periods per year (i.e., quarterly = 4)
t = number of years
One of the tutors was so good as to solve this formula for TIME, thus:

Does anyone know how to solve this formula for the RATE? Stan has $1,500.00 and would quite like to have $5,000 in five years on a compound interest account. What interest rate must he fetch to meet this goal?
Thanks so very much for any reply,
Charlie Bass
Abilene, TX
cfbass@yahoo.com
Click here to see answer by scott8148(6628)

Question 319442: The sum of two numbers is 8, and the sum of their squares is 34. What is the smaller number?

Click here to see answer by josmiceli(19441)

Question 319922: you invested 5000 in two accounts paying 4% and 7% annual interest, respectively. if the total interest earned for the year was 320 how much was invested at each rate
Click here to see answer by checkley77(12844)

Question 319724: My question is about an annuity. How do we solve the annuity formula for time? Now, scott8148 has been great with reversing a formula with logarithmic conversions, but this seems pretty complex.
The standard annuity formula reads as such:

This would answer the question, "If some money is withdrawn from the principle every month for 20 years, how much could be withdrawn?"
Fair enough, but what about a question such as, "Jan wants to withdraw $800 every month until her account reaches zero. How long will it be before her account reaches zero?" This is assuming that the amount withdrawn would be large enough to break past the interest and cut into the capital, of course.
Thanks so much for any reply,
Charlie Bass
Abilene, TX
cfbass@yahoo.com
Click here to see answer by scott8148(6628)

Question 320046: Determine the profit function
P(x), if the revenue function and cost functions are R(x)=211x and C(x)=94x + 17,199 respectively. Also find the break-even point.
Click here to see answer by Fombitz(32388)

Question 320871: George saves 18% of his total gross weekly earnings from his 2 part-time jobs. He earns $6.25 per hour from one part-time job and $7.50 per hour from the other part-time job. George works a total of 40 hours between the two jobs each week. What additional information is needed to determine the amount of his earnings he saves each week? I think it the number of hours he works at each job...
Click here to see answer by mananth(16946)

Question 321001: I'm trying to find out what the original price of an item was if 14.96 is the total after 25% of the original price is subtracted.
Click here to see answer by rfer(16322)

Question 322075: A rectangular picture measuring 5 in. by 9 in. is surrounded by a frame with uniform width x. Write a quadratic function in standard form to show the combined area of the picture and frame.
Click here to see answer by Jk22(389)

Question 322149: name the sets of numbers to which each number belongs
|93/3| |-782| |-1.93| |37/59|
Click here to see answer by Edwin McCravy(20055)

Question 322241: At Ed Gas, regular gas is $1.12 per gallon and ultra gas is $1.84 per gallon. If Ed Gas sold $128.80 worth of ultra, how many gallons of regular must be sold to have an average selling price of $1.518 per gallon?
Click here to see answer by mananth(16946)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560