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Question 1136889: 28v^3-116v^2+16v=4v()
Complete the factoring
Click here to see answer by Alan3354(69443)

Question 1136923: A farmer finds that if she plants 95 trees per acre, each tree will yield 30 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest?
Give your answer rounded to the nearest whole number.
Click here to see answer by greenestamps(13200)

Question 1136916: Each individual letter of the word California is placed on a piece of paper, and all 10 pieces of paper are placed in a hat. If one letter is selected at random from the hat, find the probability that a vowel is selected.
Click here to see answer by ikleyn(52781)

Question 1136931: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $11 the average attendance has been 28000. When the price dropped to $9, the average attendance rose to 34000. Assume that attendance is linearly related to ticket price.
What ticket price would maximize revenue?
Click here to see answer by josmiceli(19441)

Question 1136921: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $11 the average attendance has been 28000. When the price dropped to $9, the average attendance rose to 34000. Assume that attendance is linearly related to ticket price.
What ticket price would maximize revenue?
Click here to see answer by Theo(13342)

Question 1136970: The equation a=640s gives the relationship between a square miles and acres Pam owns 7.5 square miles of farmland how many acres dose she own

Click here to see answer by Alan3354(69443)

Question 1136980: A bank account starts with $700 and earns an annual interest rate of 6%, compounded monthly.
What will the balance be after 2 years?
B= 789.01 (I know how to solve this part)
How long will it take the balance to reach $1000?
t= ? (I'm having trouble solving this part. Any help is appropriated. Thank you!)
Click here to see answer by greenestamps(13200)

Question 1137017: The National Institute for Sports estimates that 9% of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in 92% of athletes that have used steroids in the past 18 months. The test gives a positive result to 14% of athletes who do not use steroids
Click here to see answer by greenestamps(13200)

Question 1137016: The National Institute for Sports estimates that 9% of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in 92% of athletes that have used steroids in the past 18 months. The test gives a positive result to 14% of athletes who do not use steroids
Click here to see answer by greenestamps(13200)

Question 1137020: An urn contains four red, three white, and five blue marbles. Three marbles are selected at random and without replacement.
Click here to see answer by greenestamps(13200)

Question 1137019: An urn contains four red, three white, and five blue marbles. Three marbles are selected at random and without replacement.
Click here to see answer by greenestamps(13200)

Question 1137021: A fair pair of dice is rolled and the sum of the points is noted. What is the probability that one of the dice results in a point of 6, given that the sum of the points is 8?
Click here to see answer by greenestamps(13200)

Question 1137022: Suppose that a family has 8 children. Also, suppose that the probability of having a boy is one half
. Find the probability that the family has at least 7 boys.

Click here to see answer by greenestamps(13200)

Question 1137018: The probability of a snowstorm on Thanksgiving is 0.40 and the probability of a snowstorm on Christmas is 0.70. Assuming that these two events are independent, what is the probability of a snowstorm on Thanksgiving but not on Christmas?
Click here to see answer by greenestamps(13200)

Question 1137034: At age 25, to save for retirement, you decide to deposit $75.00 into an IRA at the end of each month, at an interest rate of 6.5% PER YEAR COMPOUNDED DAILY. How much will you have from the IRA when you retire at age 65?
Click here to see answer by ikleyn(52781)

Question 1137104: A small company invested $20,000 by putting part of it into a mutual bond fund that earned 4.5% annual simple interest and the remainder in a corporate bond fund that earned 9.5% annual simple interest. If the company earned $1500 annually from the investments, how much was in the mutual bond fund?
Click here to see answer by addingup(3677)

Question 1137109: A bank account starts with $700 and earns an annual interest rate of 6%. Use the continuous compounding formula to estimate the balance after 4 years.
B=
Click here to see answer by Theo(13342)

Question 1137046: Cassandra bought a 10−yr Treasury note that paid the equivalent of 3.5% simple
interest. She invested $4000 more in a 15−yr bond earning 4.1% than she did in the Treasury note. If the total amount of interest from these investments is $10, 180, determine the amount of principal for each investment. Assume that each investment was held to maturity.
Click here to see answer by VFBundy(438)

Question 1137163: Suppose a math class contains 40 students, 18 females (three of whom speak French) and 22 males (three of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is male.
Click here to see answer by VFBundy(438)

Question 1137151: A frustum of a regular square pyramid has bases with sides of length 6 and 10. The height of the frustum is 12, find the surface area.
Click here to see answer by MathLover1(20849)

Question 1137224: I need help with the equations.
Find the equation of the line given the following conditions.

6. Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3

7. Passing through (2, -3) and perpendicular to the line whose equation is y = (1/5) x + 6

8. Passing through (5, -9) and perpendicular to the line whose equation is x + 7y - 12 = 0
Click here to see answer by ikleyn(52781)

Question 1137211: A cube of side length a is modified by cutting a cubic shape of side length b from one of it's corners. In addition a cylindrical hole is cut through the shape with a radius of size c. If the value of a is 18.0, b is 1.2 and c is 5.0, what is the surface area of this shape? (Use 3.14 as the value of pi)
ACTUAL IMAGE: https://docs.google.com/document/d/1vo4JTI8Jzc5dQES-W6dwjOXL0cBkgTQ3u7GaKKo3Zcw
Click here to see answer by ikleyn(52781)

Question 1137280: One week a computer store sold a total of 36 computers and external hard drives. The revenue from these sales was $32985. If computers sold for $1180 per unit and hard drives for $125 per unit, how many of each did the store sell?
Click here to see answer by josgarithmetic(39617)

Question 1137309: I need help evaluating the values, please.
evaluate the value of the following trig functions
7. sec 54° 23’

8. cos 36° 10’

9. cot 35° 21’ 45’’
Click here to see answer by Theo(13342)

Question 1137433: A cone frustum is inscribed in a sphere of radius 13. If one of the bases of the frustum is a great circle of the sphere, and the other base has radius 12, what is height.
Click here to see answer by ikleyn(52781)

Question 1137443: In the game 'League of Legends', a player's 'Effective Health' when defending against physical damage is given by:
E= H(100+A) all over 100, where H is health and A is armour. Health costs 2.5 gold per unit, and Armour costs 18 gold per unit. You have 3600 gold, and you need to optimise the effectiveness E of your health and armour to survive as long as possible against the enemy team's attacks. Show that to optimise E, you need 50yA and 1080yH.
Click here to see answer by ikleyn(52781)

Question 1137524: Micheal and Song are comparing the prices of soft drinks that are served in cylindrical shaped cups at their favorite restaurant. The first cup is 4.5 inches tall with a diameter of 3 inches, and the price is $0.99. The second cup is 6 inches tall with a diameter of 2.5 inches, and the price is $1.05. Micheal argues that the 6 inch tall cup is the better deal and Song disagrees. Who is correct? Justify your answer.
Click here to see answer by josmiceli(19441)

Question 1137543: A 360-gram Lilly bag is divided in the ratio 7:5. What is the mass of the smaller amount?
Click here to see answer by josgarithmetic(39617)

Question 1137544: Some men agree to pay equally for the use of a boat and each pays 15p.If there had been two more men in the party.each would have paid 10p.How many men there were and how my h was the hire if the boat?
Click here to see answer by greenestamps(13200)

Question 1137564: A man distributes £2 among 20 boys,giving some 5p and 25p to the rest. How many boys receive 25p each.

Click here to see answer by ikleyn(52781)

Question 1137551: A real estate manages 80 apartment units. When the rent of each unit is $180 per month, all units are occupied. However, for each $6 increase in rent, one of the units becomes vacant. Each occupied unit requires an average of $18 per month for service and repairs. Show that $336 or $342 should be charged to realise the most profit.
Click here to see answer by ikleyn(52781)

Question 1137567: A book seller buys 120 volumes of a certain books.He sells some for 18p each and disposes of the remainder during a sale at 12p each.If the total receipts are £
19.20.how many volumes were sold at each price
Click here to see answer by ikleyn(52781)

Question 1137623: On January 1, 2000, $12,400 was deposited into an account that earns 2.55% interest compounded monthly. On January 1, 2010, $1,600 was deposited into the account and the bank changed the interest rate to 2.31% compounded monthly.
On January 1, 2014, $3,800 was withdrawn from the account and the interest rate was lowered to 1.99% compounded monthly.
a.) if no other deposits, withdrawals, or rate changes occur, how much money did the account have on January 1, 2020?
b.) Determine the total interest that was earned from January 1, 2000 to January 1, 2020?
Click here to see answer by Theo(13342)

Question 1137658: the equation of a circle with centre O(0,0) is x^2 + y^2 = 17. the points M(1,4) and N(4,1) are endpoints of the chord MN. Find the distance from the centre of the circle to the chord, to the nearest tenth.
Click here to see answer by josgarithmetic(39617)

Question 1137628: You are working for a finance firm and a client comes to you and wants to know how much money they should put in an annuity (which earns 2.58% interest compounded quarterly) at the end of each three months for the next 49 years. Their goal is that when they retire at the end of 49 years, they would like the quarterly withdrawals from the annuity to total $60,000 per year and that the annuity is to last for the 20 years from when they retire. You are to determine the amount which your client needs to deposit into the annuity at the end of each three months for the next 49 years so that they can meet their retirement goal.
a.) show all work and label important steps and values.
b.) find the total amount of interest client will earn (from the time they start contributing to the account to when they make the last withdrawal).
Click here to see answer by Theo(13342)

Question 1137732: How many numbers between 100 and 1000 are
Not divisible by 2
Not divisible by 3
Not divisible by either 2 or 3 .
Not quite an algebra one!

Click here to see answer by ikleyn(52781)

Question 1137709: Joan quit her job at GM when she was 35 years old. Her friend, who is a financial advisor, recommended that she leave her 401(k) retirement savings in GM’s retirement plan rather than withdrawing or transferring the money to a new plan. Her friend said that, on average, Joan could expect a 6% increase per year if she left her money in the plan for many years, based on the past performance of GM’s plan. Joan will not be able to add more money to the GM 401(k) account, but can open a new one at her new job.
A. Create a model for the amount of money Joan will have in her 401(k) after any number of years. Use A for the accumulated amount of money, t for the number of years, and P for the amount of money in the plan when she quit, which is called the principal.
B. What percent of the principal will Joan have if she leaves the money in the account for the 32 years until she retires? What percent increase does this represent? Round each answer to the nearest hundredth of a percent.
C. If Joan's original principal was $20,300 how much would be in the account when she retires?
D. Approximately how many years will it take the principal to double? How long to quadruple?
Click here to see answer by Theo(13342)

Question 1137885: All of the faces of a rectangular block are painted red. The rectangular block is cut into unit cubes with a volume of 1 cm3 each. It is known that there are 30 unit cubes with none of their faces painted red and x unit cubes each with exactly two faces painted red.
Find the sum of all possible values of x.
Click here to see answer by greenestamps(13200)

Question 1137936: You would like to have $6,000.00 in 7 years for a special vacation following graduation by making deposits at the end of each year in an annuity that pays 4% compounded annually.

How much money should you deposit at the end of every year?

How much of the $6,000.00 comes from deposits and how much comes from interest?
Click here to see answer by ikleyn(52781)

Question 1137959: How many numbers between 1 and 1000 contain all the numbers 2 3,4,5,6
as factors
Click here to see answer by greenestamps(13200)

Question 1137944: You want to be able to withdraw $20,000 from your account each year for 20 years after you retire.
You expect to retire in 15 years.
If your account earns 8% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?
Click here to see answer by ikleyn(52781)

Question 1137969: A spaceship traveled at a speed of 5,000 miles per hour for 30,000 hours. How many miles written in scientific notation did this spaceship travel?
Click here to see answer by Boreal(15235)

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