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Alan3354 answered: 31508 problems
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Money_Word_Problems/626782: Mary deposited 500 dollars into her savings account for 19 years, which her account earns 5% per year compounded annually how much will her account be worth at the time of her retirement? 1 solutions Answer 394424 by Alan3354(31529)   on 2012-07-08 16:52:49 (Show Source): You can put this solution on YOUR website! Mary deposited 500 dollars into her savings account for 19 years, which her account earns 5% per year compounded annually how much will her account be worth at the time of her retirement? ------------- FV = 500*1.05^19

real-numbers/626776: Please help me solve 7ln(3x)=28 I have not done one like this so I,m lost 1 solutions Answer 394423 by Alan3354(31529)   on 2012-07-08 16:33:39 (Show Source): You can put this solution on YOUR website! 7ln(3x)=28 --------- ln(3x)=4 ---------- No reason to panic.

Polynomials-and-rational-expressions/626764: (6-u)/(7-u)= (1)/(u-7) Solve. I keep finding no solution 1 solutions Answer 394412 by Alan3354(31529)   on 2012-07-08 16:10:02 (Show Source): You can put this solution on YOUR website! (6-u)/(7-u)= (1)/(u-7) ------------ 6-u = 1 u = 5

�t�e�s�t/626745: Find c so that x-3y=c is not parallel to 2x-6y=10. Show that ax+by=c and bx-ay=kare perpendicular. ax+by=c m=-a/b bx-ay=k m=b/a I don't get how he did it. Please explain. 1 solutions Answer 394404 by Alan3354(31529)   on 2012-07-08 15:42:12 (Show Source): You can put this solution on YOUR website! Find c so that x-3y=c is not parallel to 2x-6y=10. ----------- c does not affect the slope. They are parallel. There is no c which will make the not parallel. If c = 5, the are coincident, the same line, but that is still the same slope = parallel. ---------------- Show that ax+by=c and bx-ay=kare perpendicular. ax+by=c m=-a/b bx-ay=k m=b/a ------- The 2 slopes are negative inverses --> perpendicular.

test/626743: The size P of a certain insect population at time t (in days) obeys the functions P (t) = 300e Determine the number of insects at t=0 days 1 solutions Answer 394403 by Alan3354(31529)   on 2012-07-08 15:38:00 (Show Source): You can put this solution on YOUR website! The size P of a certain insect population at time t (in days) obeys the functions P (t) = 300e ----- There's no t in the function ?? ------- Determine the number of insects at t=0 days ------------- 300e =~ 815 bugs

Divisibility_and_Prime_Numbers/626754: suppose and b are integers such that 2+a and 35-b are divisible by 11prove that a+b is divisible by 11 1 solutions Answer 394402 by Alan3354(31529)   on 2012-07-08 15:30:56 (Show Source): You can put this solution on YOUR website! suppose and b are integers such that 2+a and 35-b are divisible by 11prove that a+b is divisible by 11 ------------------ 2+a = 11*n 35-b = 11*m m & n are integers ----- 11n + 11m = 11*(m+n) QED

Probability-and-statistics/626712: need help solving this story problem. My solution is not matching the problem. Jim and bob are panning for gold in Leadvill, Colorado. The ratio of gold found by Jim to gold found by Bob is 4:7. If they two men together find a total of 55 pieces of gold, find how man pieces of gold each man found. 1 solutions Answer 394396 by Alan3354(31529)   on 2012-07-08 14:16:35 (Show Source): You can put this solution on YOUR website! Jim and bob are panning for gold in Leadvill, Colorado. The ratio of gold found by Jim to gold found by Bob is 4:7. If they two men together find a total of 55 pieces of gold, find how man pieces of gold each man found. ---------------- 4 + 7 = 11 55/11 = 5 ---- 4*5 = 20 7*5 = 35

Circles/626741: A circular pizza is 32 inches in diameter and the pizza is cut into 8 equal pieces. What is the area of each piece of pizza? 1 solutions Answer 394395 by Alan3354(31529)   on 2012-07-08 14:13:37 (Show Source): You can put this solution on YOUR website! A circular pizza is 32 inches in diameter and the pizza is cut into 8 equal pieces. What is the area of each piece of pizza? ================= r = 16 inches Divide that by 8

Subset/626739: Determine the probability of being killed be a bolt of lightning if you live in Central Florida? 1 solutions Answer 394394 by Alan3354(31529)   on 2012-07-08 14:12:34 (Show Source): You can put this solution on YOUR website! Determine the probability of being killed be a bolt of lightning if you live in Central Florida? ----------------- Based on what?

Miscellaneous_Word_Problems/626602: Two athletes start jogging at the same time. One jogs north at 6 miles per hour while the second jogs east at 8 miles per hour. After how long are the two athletes 20 miles apart? 1 solutions Answer 394352 by Alan3354(31529)   on 2012-07-08 10:12:48 (Show Source): You can put this solution on YOUR website! Two athletes start jogging at the same time. One jogs north at 6 miles per hour while the second jogs east at 8 miles per hour. After how long are the two athletes 20 miles apart? -------------- Their velocity vectors make a right triangle. mi/hr 20/10 = 2 hours

Graphs/626652: pls give me the complete solution x-2y=5 x-2y=2 in slope-intercept method 1 solutions Answer 394343 by Alan3354(31529)   on 2012-07-08 09:37:08 (Show Source): You can put this solution on YOUR website! pls give me the complete solution x-2y=5 x-2y=2 in slope-intercept method ------------------- Slope-intercept is a form of equation, not a method. ----- x-2y=5 x-2y=2 -------- Subtract 0 = 3 Inconsistent, no solution.

Mixture_Word_Problems/626621: Kit Kats contain 35% of sugar.How much sugar is in 420g. 1 solutions Answer 394340 by Alan3354(31529)   on 2012-07-08 09:26:47 (Show Source): You can put this solution on YOUR website! Kit Kats contain 35% of sugar.How much sugar is in 420g. ------------- 420 gms of what?

Proportions/626603: Electric current (i) flowing in a circuit is inversely proportional to resistance (R).The current flow is 2 amps. When the resistance is 3 ohms.Find (1) the resistance when the current flow is 5 and 6 amps.respectly. (2) the current flow in a circuit when the resistance is 4 and 6 ohms respectly. 1 solutions Answer 394339 by Alan3354(31529)   on 2012-07-08 09:25:41 (Show Source): You can put this solution on YOUR website! Electric current (i) flowing in a circuit is inversely proportional to resistance (R).The current flow is 2 amps. When the resistance is 3 ohms. ------------- V = I*R 6 = 2*3 ----------- Find (1) the resistance when the current flow is 5 and 6 amps R = 6/I I = 5 amps R = 6/5 = 1.2 ohms -------- R = 6/6 = 1 amp ----------------- (2) the current flow in a circuit when the resistance is 4 and 6 ohms respectly. I = 6/4 = 1.5 amps ---- I = 6/6 = 1 amp

Triangles/626631: the perimeter of a right angled triangle is 26 cm .if its hypotenuse is 25 cm. find its other two sides .find its area by using heron's formula. also find its area by using the formula for a right angled triangle 1 solutions Answer 394336 by Alan3354(31529)   on 2012-07-08 09:14:57 (Show Source): You can put this solution on YOUR website! the perimeter of a right angled triangle is 26 cm .if its hypotenuse is 25 cm. find its other two sides .find its area by using heron's formula. also find its area by using the formula for a right angled triangle --------------- You can't make a triangle like that.

Travel_Word_Problems/626423: A boat propelled so as to travel with a speed of 25 ms-1 in still water, moves directly across a river 600m wide, the river flowing at 15 ms-1. How long will it take the boat to across the river? Toward what point on the opposite share is the point headed when it start. 1 solutions Answer 394295 by Alan3354(31529)   on 2012-07-07 20:24:41 (Show Source): You can put this solution on YOUR website! A boat propelled so as to travel with a speed of 25 ms-1 in still water, moves directly across a river 600m wide, the river flowing at 15 ms-1. How long will it take the boat to across the river? -------- The boat's speed wrt the Earth = ================================ Toward what point on the opposite share is the point headed when it start. ----- To travel in a straight line, the boat's heading will be into the current. The angle from "straight across" is asin(15/25) =~ 36.9 degrees.

Quadratic_Equations/626550: can u explain pi to me and what it is 1 solutions Answer 394292 by Alan3354(31529)   on 2012-07-07 20:07:44 (Show Source): You can put this solution on YOUR website! can u explain pi to me and what it is ------------ The simplest explanation is the pi is the circumference of a circle divided by its diameter. ---------- pi =~ 3.141592654.....

Quadratic_Equations/626560: No idea why I am having so much trouble with this! I must solve for x and type the answer in the form of "a+bi", using radicals as needed. x^2 - x +8 = 0 Any help is greatly appreciated! Thank you! 1 solutions Answer 394291 by Alan3354(31529)   on 2012-07-07 20:05:58 (Show Source): You can put this solution on YOUR website! x^2 - x +8 = 0 ---------------- Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -31 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -31 is + or - . The solution is , or Here's your graph:

Mixture_Word_Problems/626508: How many milliliters of a 31% alcohol solution must be added to 6 milliliters of a 11% alcohol solution to produce a 21% alcohol solution? 1 solutions Answer 394235 by Alan3354(31529)   on 2012-07-07 15:40:07 (Show Source): You can put this solution on YOUR website! How many milliliters of a 31% alcohol solution must be added to 6 milliliters of a 11% alcohol solution to produce a 21% alcohol solution? ----------- 21% is the average, so it's equal amounts 6 ml

Travel_Word_Problems/626424: Resolve a force of 100N into 2 components at right angle of 30 degrees . with the 100N force value for construction and computation. 1 solutions Answer 394232 by Alan3354(31529)   on 2012-07-07 15:32:25 (Show Source): You can put this solution on YOUR website! right angle of 30 degrees --------- A right angle is 90 degrees

Quadratic-relations-and-conic-sections/626496: Find all real zeros of the functions. 1 solutions Answer 394227 by Alan3354(31529)   on 2012-07-07 15:15:08 (Show Source): You can put this solution on YOUR website! Find all real zeros of the functions. ---------------- Try the factors of 10, plus and minus.

Graphs/626482: find all the points having an x-coordinate of 1 whose distance from the point (-3,-6) is 5 1 solutions Answer 394218 by Alan3354(31529)   on 2012-07-07 14:09:37 (Show Source): You can put this solution on YOUR website! find all the points having an x-coordinate of 1 whose distance from the point (-3,-6) is 5 ------------- They'll be on the circle: x = 1 y + 6 = 3 y = -3 (1,-3) --------- y + 6 = -3 y = -9 (1,-9)

Trigonometry-basics/626427: Resolve a force of 100N into 2 components at right angles of 30 degrees with the 100N force value for construction and computation. 1 solutions Answer 394173 by Alan3354(31529)   on 2012-07-07 10:44:17 (Show Source): You can put this solution on YOUR website! Resolve a force of 100N into 2 components at right angles of 30 degrees with the 100N force value for construction and computation. ---------------- right angles of 30 degrees ??

Equations/626436: What is the equation to solve this formula? 0.47 = 3,547,000 * x / 10,300,000 Thanks in advance!! 1 solutions Answer 394163 by Alan3354(31529)   on 2012-07-07 08:55:59 (Show Source): You can put this solution on YOUR website! What is the equation to solve this formula? 0.47 = 3,547,000 * x / 10,300,000 --------------- There's no equation to solve a formula. That is an equation, solve it for x. 0.47 = 3,547,000 * x / 10,300,000 0.47*10300000 = 3,547,000 * x 0.47*10300 = 3547x x = 0.47*10300/3547 x =~ 1.3648

Mixture_Word_Problems/626407: please help me solve this problems. 1.1-X+2X^2+X^3+3X^4 Actually i need very soon. 1 solutions Answer 394154 by Alan3354(31529)   on 2012-07-07 08:15:41 (Show Source): You can put this solution on YOUR website! please help me solve this problems. 1.1-X+2X^2+X^3+3X^4 ------------- What do you want to do?

Polynomials-and-rational-expressions/626387: I have looked at many posts of almost the same questions and am confused, the question is: The cost, in millions of dollars, to remove x % of pollution in a lake is modeled by the equation 6000/200-2x. what is the cost to remove %75,%90,%99. First off shouldn't the percentages be converted to decimal? Then, do I divide 6000 by 200 first or should I multiply 2* the percentage first? Any change will offer the wrong answer. 1 solutions Answer 394153 by Alan3354(31529)   on 2012-07-07 07:10:16 (Show Source): You can put this solution on YOUR website! I have looked at many posts of almost the same questions and am confused, the question is: The cost, in millions of dollars, to remove x % of pollution in a lake is modeled by the equation 6000/200-2x. what is the cost to remove %75,%90,%99. First off shouldn't the percentages be converted to decimal? Then, do I divide 6000 by 200 first or should I multiply 2* the percentage first? Any change will offer the wrong answer. ------------------- 6000/200-2x The equation can be made to use the %, or the decimal value 6000/200-200x using the decimal value would give the same result. And, it's 6000/(200-2x), just sloppiness on the part of the presenter, or the author. ---------- 75%: C = 6000/(200 - 150) = 120 million etc

Travel_Word_Problems/626411: A ship is sailing due east at 15 km/hr. What must be the speed of a second ship heading in the direction 30 east of north. If it is always due north from the first ship. 1 solutions Answer 394152 by Alan3354(31529)   on 2012-07-07 07:03:58 (Show Source): You can put this solution on YOUR website! A ship is sailing due east at 15 km/hr. What must be the speed of a second ship heading in the direction 30 east of north. If it is always due north from the first ship. --------------- The 2nd ship's speed is the hypotenuse of a right triangle with the right angle at the 1st ship. The 2nd ship's speed = 15/cos(60) = 30 km/hr

Linear-equations/626410: can you solve for y in terms of x a. 3x-2y=3 b. 4y+6x=12 c. 2x+3y=7 d. 6x+2y=-10 e. 6y+2x=6 f. y-2=2(x+2) g. 3(x+4)=y-8x+3 h. 2y+4x=3(y-x)18 1 solutions Answer 394151 by Alan3354(31529)   on 2012-07-07 06:57:25 (Show Source): You can put this solution on YOUR website! can you solve for y in terms of x a. 3x-2y=3 -2y = -3x + 3 2y = 3x - 3 y = (3/2)x - 3/2 ---------- Do the others the same way b. 4y+6x=12 c. 2x+3y=7 d. 6x+2y=-10 e. 6y+2x=6 f. y-2=2(x+2) g. 3(x+4)=y-8x+3 h. 2y+4x=3(y-x)18

Polynomials-and-rational-expressions/626414: A given POLYNOMIAL: -x^3-4x^2+3x-6 what is the COEFFICIENT of it? Is it: a) -1, -4, 3,-6 b) -4, 3, -6 c) -1, -4, 3 d) 3, 2, 1 Your Answer please: I thought is was a)... Am I correct? Thank you in advance, for your help...... 1 solutions Answer 394150 by Alan3354(31529)   on 2012-07-07 06:51:38 (Show Source): You can put this solution on YOUR website! A given POLYNOMIAL: -x^3-4x^2+3x-6 what is the COEFFICIENT of it? ------- A given POLYNOMIAL: -x^3-4x^2+3x-6 what are the COEFFICIENTs of it? It's a) -1, -4, 3,-6

logarithm/626329: Without a calculator, show that + > 2. 1 solutions Answer 394113 by Alan3354(31529)   on 2012-07-06 19:24:36 (Show Source): You can put this solution on YOUR website! Without a calculator, show that + > 2. ------------- + = + = + = = = 1/log(pi) ------------- --> 1/(<0.5) --> > 2

Unit_Conversion_Word_Problems/626016: 1. A rectangular piece of metal measuring 20.3 cm x 70.5 cm x 2.5 cm weighs 48.5 kg. What is the density of metal in g/cc? 2. The density of a blood sample is 1.052 g/cc. What is the specific gravity of the sample? 3. The coldest temperature recorded on earth was -110 degree Fahrenheit. What is this temperature in degree Celsius? In Kelvin? 4. Calculate the amount of heat in cal. needed to raise the temperature of 30 g of copper from 28 degree Celsius to its melting point of 1083 degree Celsius. Specific heat of Cu = 0.092 cal/g degree Celsius 5. If 150 cal of heat energy is added to 50.0 g of water at 25 degree Celsius, what is the final temperature of the water? Specific heat of water = 1 cal/g degree Celsius 1 solutions Answer 394092 by Alan3354(31529)   on 2012-07-06 15:43:55 (Show Source): You can put this solution on YOUR website! 1. A rectangular piece of metal measuring 20.3 cm x 70.5 cm x 2.5 cm weighs 48.5 kg. What is the density of metal in g/cc? Vol = 20.3*70.5*2.5 = 3577.875 cc Density = 48500/Vol Dens =~ 13.56 gm/cc ------------------------------- 2. The density of a blood sample is 1.052 g/cc. What is the specific gravity of the sample? SG = 1.052 --------------- 3. The coldest temperature recorded on earth was -110 degree Fahrenheit. What is this temperature in degree Celsius? In Kelvin? -110F = (-110 - 32)/1.8 C =~ -78.9C ----------- = C + 273K = 194K 4. Calculate the amount of heat in cal. needed to raise the temperature of 30 g of copper from 28 degree Celsius to its melting point of 1083 degree Celsius. Specific heat of Cu = 0.092 cal/g degree Celsius 5. If 150 cal of heat energy is added to 50.0 g of water at 25 degree Celsius, what is the final temperature of the water? Specific heat of water = 1 cal/g degree Celsius

Expressions-with-variables/626290: what is twice the product of x and y 1 solutions Answer 394087 by Alan3354(31529)   on 2012-07-06 15:26:23 (Show Source): You can put this solution on YOUR website! what is twice the product of x and y = 2xy