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Question 1035806: You invest $6000 in an account that pays simple interest of 4% for 1 year. Calculate the amount of interest you'll have at the end of the indicated period.
Click here to see answer by jorel555(1290)

Question 1035874: Find the sum of the first 22 terms in the arithmetic series -6 - 12 - 18 - ...
-1,260
-1,518
-1,386
-1,584
Click here to see answer by ikleyn(52781)

Question 1035866: Find the sum of the first 20 terms in the arithmetic series 15 + 4 - 7 - ...

Click here to see answer by ikleyn(52781)

Question 1035873: Find three geometric means between √2 and 4√2.
2, -2√2, 4
-2, 2√2, -4
2, 2√2, 4
B or C
Click here to see answer by robertb(5830)

Question 1035872: Find the sum of the first eight terms in the geometric series 4 - 8 + 16 - ...
-1,028
-340
-342
340
Click here to see answer by robertb(5830)

Question 1035871: Given the information shown below on harmonic sequences, find one harmonic mean between 1/4 and 1/10.
If a_1, a_2, a_3, ..., a_n is an arithmetic sequence where a_n does not equal 0, then 1/a_1 , 1/a_2 , 1/a_3 , ... , 1/a_n is a harmonic sequence.
Click here to see answer by robertb(5830)

Question 1035869: Use the first five terms of the trigonometric series (shown below) to approximate sin(π/5).
sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ...
Click here to see answer by robertb(5830)

Question 1035867: The expression shown below is the expansion of what binomial? Be sure to include the binomial and the appropriate exponent.
16c^4 - 96c^3d + 216c^2d^2 - 216cd^3 + 81d^4
Click here to see answer by robertb(5830)

Question 1035868: Use the first five terms of the exponential series (shown below) to approximate e^6.
e^x = 1 + x + x^2/2! + x^3/3! + x^4/4! + ...
Click here to see answer by robertb(5830)

Question 1035967: $480 invested at 10% compounded quarterly after a period of 8 years. Find the amount that results from the investment.
Click here to see answer by rfer(16322)

Question 1036028: While going through some items of his dead grandmother, Deigo discovers that she deposited $500 at a 3% annual interest rate in a savings account for him fifty years ago. How much money is in the account? Assume interest was compounded annually.
Click here to see answer by rfer(16322)

Question 1036030: Kyle buys a $2 lottery ticket everyday, 7 days a week. He makes about $500 a week.
How much is Kyle spending on lottery tickets each:
Week?
year?
What percent of Kyle's budget is going toward lottery tickets? ____%
Is this reasonable?
Click here to see answer by Aldorozos(172)

Question 1036029: Elena spends $4 per day on coffee at the neighborhood cafe and $340 per month on food. Complete the sentence: On an annual basis the first set of expenses is _% of the second set of expenses.
Click here to see answer by Aldorozos(172)

Question 1036031: You currently drive 360 miles per week in a car that gets 20 miles per gallon of gas. You are considering buying a new fuel-efficient car for $12,000 (after trade-in on your current car) that gets 60 miles per gallon. Insurance premiums for the new and old car are $900 and $600 per year, respectively. You anticipate spending $1400 per year on repairs for the old car and no repairs for the new car. Assume gas costs $3.50 per gallon. Over a five-year period, is it less expensive to keep your old car or to buy the new car? By how much?
Click here to see answer by Theo(13342)

Question 1036142: Find sin 2 theta, cos 2 theta, and tan 2 theta for each set of conditions.
cos theta = -5/13 and pi/2 < theta < pi.
Thank you.
Click here to see answer by ikleyn(52781)

Question 1035940: A company manufactures and sells novelty mugs.
The manufacturing costs consist of a fixed costs of R 8000 and a variable cost of R 15.00 per mug. The mugs are sold @ R35.00 each. Assume a linear profit function.
Determine the profit function?
What is the break-even level?
Draw a graph depicting the profit function?
Click here to see answer by robertb(5830)

Question 1036213: A certain pet store has only cats and dogs. The ratio of the number of cats to the number of dogs in the pet store is 2:3. 1/4 of the cats and 1/2 of the dogs wear collars. If there are 48 animals that wear collars, how many animals are in the pet store?
Click here to see answer by rfer(16322)

Question 1035966: a/(b+c) + b/(a+c) +c/(a+b)=1 then a^2/(b+c) + b^2/(a+c) +c^2/(a+b) =?
Click here to see answer by Edwin McCravy(20055)

Question 1035712: Calculate the total interest on a loan of k5400 for 2 years at 9.5 % for compounded yearly.
Click here to see answer by LinnW(1048)

Question 1036237: A crow can fly at a speed of 50 mph and a starling can fly at a speed of at 74 mph. How far will the starling fly in the time it takes the crow to fly 75 miles?
Click here to see answer by Boreal(15235)

Question 1036268: Sara and Geena can both do flips in the air. The ratio of the number of flips Sara can do to the number of flips Geena can do is 3:8. Geena can do 120 more flips than Sara. If Sara increases the number of her flips by 3 and Geena decreases the number of her flips by 12, what will be the new ratio of the number of flips Sara can do to the number of flips Geena can do?
Click here to see answer by stanbon(75887)

Question 1036273: Find all solutions of the equation in the interval [0,2pi].
2cos(theta) + sqrt( 2 ) = 0

Write your answer in radians in term of pi.
If there is more than one solution, separate them with commas.
Click here to see answer by Cromlix(4381)

Question 1036253: How would you go about finding when the percent of foreign �born citizen was at its highest and when it was at its lowest percent since 1990?
Info:
The U.S. population that was foreign-born since 1900 can be modeled by
where t = 0 in 1990.
Here is the graph of the polynomial function: http://postimg.org/image/hz7mo786z/
Click here to see answer by Aldorozos(172)

Question 1036285: Please help me solve this problem.
$x is divided among three boys, Ryan, Keith and Andrew in the ratio 2:3:7 respectively. If Andrew gets $15 more than Keith, what is the value of x?
Click here to see answer by Aldorozos(172)

Question 1036292: A set of 250 values has a normal distribution with a mean of 50 and standard deviation of 5. Round answers to the tenths place.
What percent of the data is between 40 and 60?
Find the probability that a value selected at random from this data is between 47.5 and 52.5.
Click here to see answer by Boreal(15235)

Question 1036290: A set of data has a normal distribution with a mean of 110 and a standard deviation of 20.
Find the interval about the mean within which 90% of the data lie.
-93.5-126.5
-77-143
-78-142
-103.5-136.5
Find the probability that a value selected at random from this data is between 100 and 120.
-38.8%
-50%
-95.5%
-68.3%

Click here to see answer by Boreal(15235)

Question 1036310: I would like to sell 1 gallon cans of peaches. What would the diameter of the base of the can need to be for it to be 7 inches tall and able to hold 1 gallon(s) of liquid? (Note: 1 Gallon = 231 Cubic Inches)

Click here to see answer by addingup(3677)

Question 1036391: 4% x + x = 20
x = ?
Click here to see answer by macston(5194)

Question 1036433: The diagonals of a parallelogram have lengths of 12cm and 18cm and the angle between them is 72degree.
Find the lengths of the sides of the parallelogram.
I have 1 side which is 9.1 by using the cosine rule but the second side , i do not know how to do.
Click here to see answer by ikleyn(52781)

Question 1036438: You are expecting $2,500 a month from Social Security. Yon have 1.2 million in your retirement savings, and you only want to use the earnings to live on, which is at 8% annual rate. You are currently making $64,000 a year and plan to live on 80% of that amount. Do you have enough to retire based on these numbers?
Click here to see answer by Theo(13342)

Question 1036442: You estimate that it will cost $185 a month to eat and your car payment is $222 a month. What percentage of your net income are your eating expenses and car payment each?
Click here to see answer by Aldorozos(172)

Question 1036352: Curt can be paid in one of two ways for the furniture he sells. Plan A: Salary of $800 per month, plus a commission of 10% of sales. Plan B: Salary of $900 per month, plus a commission of 15% of sales in excess of $6000. For what amount of monthly sales is plan B better than plan A, assuming Curt's sales are always more than $6000?
Click here to see answer by Theo(13342)

Question 1036439: You are currently making $70,000 a year after taxes and are interested in maintaining your current income. If you are expecting $2,500 a month from Social Security, how much will you need to withdraw from your retirement account monthly?
Click here to see answer by Aldorozos(172)

Question 1036456: g(x)=3x^2-4x+27
g(1-t)
Click here to see answer by stanbon(75887)

Question 1036441: 1.) You applied for your dream job and just found out you got it. Your contract says that you will be making $30,000 a year. To budget your expenses, you figure out that your tax rate is 15%, your insurances will be $200 a month, and you want to put 3% away for your retirement. What is your gross income per month and net income (after deducting taxes, insurance and retirement) each month?
Click here to see answer by Boreal(15235)

Question 1036548: If you have $40,000 in your retirement account,and you are currently making 8% interest on your account, how much can you withdraw from it a year without decreasing the amount in your account?
Click here to see answer by Aldorozos(172)

Question 1036547: After working a year making $30,000 you recieve a 10% raise, but your health insurance increased to $300 a month and you want to now put 4% away for retirement. What is your new yearly gross income, your monthly gross, and your net income per month?
Click here to see answer by jorel555(1290)

Question 1035807: $480 invested at 10% of compound quarterly after a period of 8 years. Find the amount that results from the investment.
Click here to see answer by JBarnum(2146)

Question 1035807: $480 invested at 10% of compound quarterly after a period of 8 years. Find the amount that results from the investment.
Click here to see answer by MathTherapy(10552)

Question 1036699: How many square titles of side 20 cm will be needed to pave a footpath which is 2 meters wide and surrounds a rectangular plot 40 m long and 22 m wide

Click here to see answer by ikleyn(52781)

Question 1036713: what is the answer to this sum 7x+3y+4z-4x+2z-7y
Click here to see answer by Edwin McCravy(20055)

Question 1036866: Which of the following series is convergent?
1 + 2� + 2^4 + 2^6 + ...
1 + (1/2)� + (1/2)^4 + (1/2)^6 + ...
1 + (3/2)� + (3/2)^4 + (3/2)^6 + ...
1 + 3 + 5 + 7 + ...
Click here to see answer by Fombitz(32388)

Question 1036870: Suppose in a proof of the summation formula 7 + 9 + 11 + ... + (2n + 5) = n(n + 6) by mathematical induction, you show the formula valid for n = 1 and assume that it is valid for n = k. What is the next equation in the induction step of this proof?
7 + 9 + 11 + ... + (2k + 5) + (2(k+1) + 5) = k(k + 6) + (k+1)((k+1) + 6)
7 + 9 + 11 + ... + (2(k+1) + 5) = k(k + 6)
7 + 9 + 11 + ... + (2k + 5) = k(k + 6)
7 + 9 + 11 + ... + (2k + 5) + (2(k+1) + 5) = k(k + 6) + (2(k+1) + 5)
Click here to see answer by ikleyn(52781)

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