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Recent problems solved by 'stanbon'

stanbon answered: 57222 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next

Linear-equations/93601: Solve for x. Collect xs on the left side. The solution should be presented with x first, the correct inequality symbol, then the number. -x+4-9x+3≥7(x-2) Can anyone help me with this please give me a guide to go by. 1 solutions Answer 68167 by stanbon(57290)   on 2007-08-21 14:38:41 (Show Source): You can put this solution on YOUR website! -x+4-9x+3≥7(x-2) Simplify where you can to get: -10x+7 >= 7x-14 Subtract 7x from both sides; Subtract 7 from both sides -17x >= -21 Divide both sides by -17; keep in mind that multiplying or dividing by a negative reverses the inequality sign. x <= (21/17) --------------- Cheers, Stan H.

Linear-equations/93599: hello I am having a difficulty with the following equation: Write an equation of the line through (1,-3) and (-2,6). 1 solutions Answer 68166 by stanbon(57290)   on 2007-08-21 14:33:35 (Show Source): You can put this solution on YOUR website! Write an equation of the line through (1,-3) and (-2,6). ------------- slope = [6--3] / [-2-1] = 9/-3 = -3 --------------- Form of the line is y = mx+b You have m= -3 and y=6 when x=-2 so you can solve for "b": 6 = -3*-2+b b = 0 EQUATION: y = -3x ============== Cheers, Stan H.

Quadratic-relations-and-conic-sections/93595: This question is from textbook please help me identify the following conic. That is, is it a circle, parabola, hyperbola or ellipse? show why please!!! x^2 - 4y^2 - 4x - 24y = 48 1 solutions Answer 68165 by stanbon(57290)   on 2007-08-21 14:29:38 (Show Source): You can put this solution on YOUR website! x^2 - 4y^2 - 4x - 24y = 48 ---------- It's a hyperbola because the signs of the coefficients of x^2 and of y^2 are different. ------------- Cheers, Stan H.

Quadratic-relations-and-conic-sections/93587: This question is from textbook algebra and trigonometry indicate which type of conic the following problem represents please help me (x+1)^2/25 + (y-2)^2/25 = 1 1 solutions Answer 68162 by stanbon(57290)   on 2007-08-21 13:10:24 (Show Source): You can put this solution on YOUR website! indicate which type of conic the following problem represents please help me (x+1)^2/25 + (y-2)^2/25 = 1 ---------- You can rewrite this as (x+1)^2 + (y-2)^2 = 25 --------- So, it is a circle with center at (-1,2) and radius = 5 ============== Cheers, stan H.

Rational-functions/93584: I having a hard time, I need to provide an example of using rational expressions in every day life. Can someone help? I'm lost. 1 solutions Answer 68161 by stanbon(57290)   on 2007-08-21 13:06:52 (Show Source): You can put this solution on YOUR website! I suggest you use Google with the searh phrase "rational expressions applications". Cheers, Stan H.

Quadratic-relations-and-conic-sections/93589: This question is from textbook Find the distance between points P(-2,3) and Q(5,4) ive done some of the work im pretty sure its right can someone show/tell me? i had gotten sqrt(x2 - x1)^2 +(y2 -y1)^2 = sqrt (5-(-2))^2 +(4-3)^2 = sqrt 7^2 + 1^2 = sqrt 49 + 1 = sqrt 50 then i had gotten stuck 1 solutions Answer 68160 by stanbon(57290)   on 2007-08-21 13:03:20 (Show Source): You can put this solution on YOUR website! sqrt(50) is correct. You could simplify it to 5sqrt2 but your answer is correct. Cheers, Stan H.

Quadratic-relations-and-conic-sections/93588: This question is from textbook can someone tell me what type of conic is this?? xy = 3 1 solutions Answer 68159 by stanbon(57290)   on 2007-08-21 13:01:17 (Show Source): You can put this solution on YOUR website! Hyperbola with center at (0,0) opening to the right and to he left. Plot a few points and you will see it. Cheers, Stan H.

Rational-functions/93585: Describe the values of b in the following equations, that will give one or more real number soulutions. (a) 3x^2+bx-3=0 (b) 5x^2+bx+1=0 (c) -3x^2+bx-3=0 (d) Write a rule for judging if an equation has solutions by looking at it in standard form. 1 solutions Answer 68158 by stanbon(57290)   on 2007-08-21 12:57:48 (Show Source): You can put this solution on YOUR website! Describe the values of b in the following equations, that will give one or more real number soulutions. (a) 3x^2+bx-3=0 b^2-4ac>=0 b^2>=4ac b^2>=4*3*-9 b^2>=-108 True for every value of b ---------------------- (b) 5x^2+bx+1=0 b^2>=4ac b^2>=4*5*1 b^2>=20 b>=2sqr5 or b<=-2sqrt5 ------------------------- (c) -3x^2+bx-3=0 b^2>=4ac b^2>=5*-3*3 b^2>=-45 True for ever value of b ------------------- (d) Write a rule for judging if an equation has solutions by looking at it in standard form. b^2 must be >= 4ac ===================== Cheers, Stan H.

Quadratic-relations-and-conic-sections/93586: This question is from textbook please help me indicate which type of conic the following probelm represents (x+2)^2 + (y-3)^2 = 49 1 solutions Answer 68157 by stanbon(57290)   on 2007-08-21 12:52:00 (Show Source): You can put this solution on YOUR website! indicate which type of conic the following probelm represents (x+2)^2 + (y-3)^2 = 49 ------------- Circle with center at (-2,3) and radius = sqrt49 = 7 ============== Cheers, Stan H.

Matrices-and-determiminant/93397: ) Is it always possible using the elementary row operations for matrices to transform any square matrix into echelon form with all 1's along its main diagonal? 2) Can you take any two matrices and add them, subtract them and multiply them together? 3) Is it possible to divide two matrices? 1 solutions Answer 68156 by stanbon(57290)   on 2007-08-21 12:50:13 (Show Source): You can put this solution on YOUR website! Is it always possible using the elementary row operations for matrices to transform any square matrix into echelon form with all 1's along its main diagonal? No. Singular matrices or matrices whose determinant = 0 cannot be reduced to the unit matrix. ---------------------- 2) Can you take any two matrices and add them, subtract them and multiply them together? No. They must have the same rank (same # of rows and columns) to get added or subtracted; them must share a dimention to be multiplied, i.e (3Xn)(n*b) can be multiplied but (nx3)(bxn) can be multiplied only if b=3 ---------------- 3) Is it possible to divide two matrices? Yes A/B = B^-1*A =============== Cheers, Stan H.

Polynomials-and-rational-expressions/93554: I am having trouble with this problem, could you please help me? Use rational exponents to simplify 7^ 128c35power d42power I am not sure how to write this on this computer, the radical is 128c to the 35 power d to the 42 power Thank-you 1 solutions Answer 68155 by stanbon(57290)   on 2007-08-21 12:42:13 (Show Source): You can put this solution on YOUR website! 7^ 128c35power d42power ------------------- (128c^35d^42)^(1/7) = 2c^5d^6 ============= Cheers, Stan H.

Travel_Word_Problems/93572: I've been stuck on this question for awhile and I'm confused: Two families are traveling by car to a camp 280 kilometers away. One family leaves 20 minutes ahead of the other family and travels at an average speed of 40 kilometers per hour. What would the speed of the second family's car need to be if the family is to reach the camp at the same time as the first family? They give me a hint here: (Set up the equation and solve by substitution.) 1 solutions Answer 68151 by stanbon(57290)   on 2007-08-21 11:53:22 (Show Source): You can put this solution on YOUR website! Two families are traveling by car to a camp 280 kilometers away. One family leaves 20 minutes ahead of the other family and travels at an average speed of 40 kilometers per hour. What would the speed of the second family's car need to be if the family is to reach the camp at the same time as the first family? --------------------- 1st family DATA: Rate = 40kph ; distance = 280 km ; time = d/r = 7 hrs ----------------------- 2nd family DATA: Time = x hrs ; Distance = 280 km ; Rate = d/t = 280/x kpm ----------------------- EQUATION: 1st car time - 2nd car time = (1/3) hr 7 - x = 1/3 x = 20/3 hrs ---------- Then Rate of 2nd car = 280/x = 280/(20/3) = 14*3 = 42 kpm =================== Cheers, Stan H. --------------- Rate of the 2nd car is 42 kph ================ Cheers, Stan H.

Permutations/93528: Permutations 1. taking all 7 letters at a time 2. taking 5 letts at a time 3. taking 4 letters at a time 4. taking 3 letters at a time Question: in how many ways can 12 books be displayed on a shelf if the given number of books are available? 5. 12 books 6. 14 books 7. 15 books 8. 20 books Question: Find the number of permutations of the letters in each word. 9. geometry 10. algebra 11. addition 12. calculus 13. mathematics 14. arithmetic 1 solutions Answer 68145 by stanbon(57290)   on 2007-08-21 11:32:53 (Show Source): You can put this solution on YOUR website! Permutations 1. taking all 7 letters at a time---: 7! 2. taking 5 letts at a time---: 7!/(7-5)! 3. taking 4 letters at a time---: 7!(7-4)! 4. taking 3 letters at a time Question: in how many ways can 12 books be displayed on a shelf if the given number of books are available? 5. 12 books-- : 12! 6. 14 books-- : 14!/(14-12)! 7. 15 books-- : 15!/(15-12)! 8. 20 books Question: Find the number of permutations of the letters in each word. 9. geometry---: 8!/2! 10. algebra--: 7!/2! 11. addition--: 8!/[2!*2!] 12. calculus--: 8!/[2!*2!*2!] 13. mathematics 14. arithmetic

Quadratic_Equations/93571: Can you solve by factoring the quadratic 5y³ + 34y² = 7y and show every step? 1 solutions Answer 68144 by stanbon(57290)   on 2007-08-21 11:24:17 (Show Source): You can put this solution on YOUR website! factor the quadratic 5y^3+34y^2=7y -------------- It's a cubic equation. ---------------- Rearrange to get: 5y^3+34y^2-7y = 0 You have a common factor of "y". y(5y^2+34y-7)=0 --------------------------- To factor 5y^2+34y-7 use the AC Method: Think of two integers whose product = AC = 5*-7 = -35 and whose sum is B = 34. The numbers are 35 and -1 Rewrite the quadratic as: 5y^2+35y-y-7 Factor the 1st two and the last two terms separately to get: 5y(y+7)-(y+7) Factor again to get: (y+7)(5y-1) ----------------------- So, y(y+7)(5y-1)=0 You have factored the problem. ------------------------ If you want to "solve" the equation you get: y=0 or y=-7 or y=1/5 ======================== Cheers, Stan H.

Polynomials-and-rational-expressions/93563: factor completely 4m^2+20m+25 1 solutions Answer 68143 by stanbon(57290)   on 2007-08-21 11:15:58 (Show Source): You can put this solution on YOUR website! factor completely 4m^2+20m+25 --------------- Do you recognize a perfect trinomial square? 1st term is a perfect square 3rd term is a perfect square 2nd term is twice the product of the square roots of the 1st and 3rd terms. --------------- Your Problem; (2m+5)^2 =============== Cheers, Stan H.

Linear_Equations_And_Systems_Word_Problems/93569: I have to find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as x and W. I have honestly spent 16 hours trying to figure out how to do this, and I'm extremely confused. I am a 4.0 student until it comes to Algebra! 1 solutions Answer 68142 by stanbon(57290)   on 2007-08-21 11:12:55 (Show Source): You can put this solution on YOUR website! Use Google with the search phrase "linear function applications". You will find plenty of application examples. Cheers, Stan H.

Quadratic-relations-and-conic-sections/93470: This question is from textbook (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)? (b)DRAW its graph on a grid (a)_____________________ (b)_____________________ please help 1 solutions Answer 68133 by stanbon(57290)   on 2007-08-21 09:54:27 (Show Source): You can put this solution on YOUR website! (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)? (b)DRAW its graph on a grid --------------- Vertex Form for a parabola: (x-h)^2 = 4p(y-k) vertex at (0,0) means h = k = 0 ---------------------- You now have x^2 = 4py --------------------- focus at (0,4) means the distance from vertex to focus = 4 p = 4 4p = 16 -------------- EQUATION: 16y = x^2 y = (1/16)x^2 ----------------- =============== Cheers, Stan H.

Average/93548: Need to find the average of a percentage based on other variables: I have 1 cup of apple juice that is 50% apple juice. I want to add 2 more cups of apple juice to the 1 cup, but it is 75% apple juice. What is the average percent of apple juice when I add it to the 1 cup a=1 cup (a's percentage) a1=50% b=3 cups (b's percentage) b1=75% IF a=b then you would add a1 + b1 then divide by 2 (62.5%) if a1=b1 then the percent of apple juice would be the same 1 solutions Answer 68132 by stanbon(57290)   on 2007-08-21 09:48:09 (Show Source): You can put this solution on YOUR website! I have 1 cup of apple juice that is 50% apple juice. I want to add 2 more cups of apple juice to the 1 cup, but it is 75% apple juice. What is the average percent of apple juice when I add it to the 1 cup --------------- 50% juice DATA: Amount = 1 cup ; amt of active ingredient = 0.5 cup -------------- 75% juice DATA; Amount = 2 cups ; amt of active ingredient = (3/4)*2 = 1.5 cup ---------------- Mixture DATA where % is unknown: Amount = 3 cups ; amt of active ingredient = 3x ----------------- EQUATION: active + active = active 0.5 + 1.5 = 3x 2 = 3x x = 2/3 or 66.67 % ================ You end up with a 66.67% mixture. =============== cheers, Stan H.

Miscellaneous_Word_Problems/93479: Gunther paid for 6 cds at a special 2for1 sale. The cd's that he got at the sale brought the total number of cd's in his collection to 42. How many cd's did he have before the sale? I need to sole this problem and show the strategy that was used to solve it. thanks 1 solutions Answer 68129 by stanbon(57290)   on 2007-08-21 09:31:51 (Show Source): You can put this solution on YOUR website! Gunther paid for 6 cds at a special 2for1 sale. The cd's that he got at the sale brought the total number of cd's in his collection to 42. How many cd's did he have before the sale? -------------- Let "x" be the number of cd's he had before he bought 6 more. EQUATION: x + 6 = 42 x = 36 Before the sale he had 36 cds. ---------- Now, if you think he paid for 6 cds and actually received 12 because of the 2 for 1 sale the equation would be different: EQUATION in that case x + 12 = 42 x = 30 cds ============ Take your choice on those two interpretations of the wording of the problem. ==================== Cheers, Stan H.

Matrices-and-determiminant/93551: how can i know just by looking at any two matrices if their product is commutative? 1 solutions Answer 68128 by stanbon(57290)   on 2007-08-21 09:25:54 (Show Source): You can put this solution on YOUR website! You can't. Cheers, Stan H.

Polynomials-and-rational-expressions/93555: Could you please help me with this problem? Express in terms of i ^-100 = The radical is -100 Thank-you 1 solutions Answer 68127 by stanbon(57290)   on 2007-08-21 09:24:30 (Show Source): You can put this solution on YOUR website! The radical is -100 ------------- sqrt(-100) = [sqrt100] * [sqrt(-1)] = 10i ============ Note; "i" means sqrt(-1) ================= Cheers, Stan H.

Trigonometry-basics/93522: This question is from textbook finite mathematics What is the transpose of the following matrix? 3 1 2 2 0 5 1 -1 6 1 solutions Answer 68106 by stanbon(57290)   on 2007-08-20 23:00:15 (Show Source): You can put this solution on YOUR website! Rewrite the matrix as follows: Let the new 1st column be the old 1st row Let the new 2nd column be the old 2nd row Let the new 3rd column be the old 3rd ros ------------------ That is the transpose matrix. ======================== Cheers, Stan H.

Permutations/93530: Combinations Question: Find the number of ways in which each committee can be selected. 1. a committe of 5 people from a group of 8 people 2. a committe of 2 people from a group of 16 people 3. a committe of 4 people from a group of 7people 4. a committe of 8 people from a group of 15people 5. a committe of 3 people from a group of 8 people Question: At luncheon guest are offered a selection of 4 diffrent grilled vegetables and 5 diffrent relishes. In how many ways can the following items be chosen? 6. 2 vegetables and 3 relishes 7. 3 vegetables and 2 relishes 8. 4 vegetables and 4 relishes 9. 3 vegetables and 3 relishes Question: A bag contains 8 white marbles and 7 blue marbles. Find the probability of selecting each combination 10. 2 white and 3 blue 11. 3 white and 2 blue 12. 4 white and 1 blue 1 solutions Answer 68105 by stanbon(57290)   on 2007-08-20 22:57:06 (Show Source): You can put this solution on YOUR website! I'll do one from each section. The others in that section are worked the same. ========================= Question: Find the number of ways in which each committee can be selected. 1. a committe of 5 people from a group of 8 people 8C5 = 8C3 = [8*7*6]/[1*2*3] = 56 ------------------------------------------- Question: At luncheon guest are offered a selection of 4 diffrent grilled vegetables and 5 diffrent relishes. In how many ways can the following items be chosen? 6. 2 vegetables and 3 relishes # of ways to pick 2 vegetables = 4C2 = [4*3]/[1*2] = 6 # of ways to pick 3 relishes = 5C3 = 5C2 = [5*4]/[1/2]=]10 So, # of ways to pick 2 veg and 3 rel = 6*10 = 60 -------------------------------------------- Question: A bag contains 8 white marbles and 7 blue marbles. Find the probability of selecting each combination 10. 2 white and 3 blue # of ways to pick 2 white = 8C2 = 28 # of ways to pick 3 blue = 7C3 = 35 So, # of ways to pick 2 white and 3 blue = 28*35 So 28*35 is the number of ways to succeed ------- The number of possible outcomes of selecting 5 marbles from 15 is 15C5= 3003 Therefore the probability of selecting 2 white and 3 blue is [28*35]/3003 = 980/3003 = 0.3263... ======================= Cheers, Stan H.

Polynomials-and-rational-expressions/93539: I am in need of some help Use the ac test to determine if the following trinomial can be factored. X^2+2x+3 Thank you 1 solutions Answer 68103 by stanbon(57290)   on 2007-08-20 22:44:36 (Show Source): You can put this solution on YOUR website! Use the ac test to determine if the following trinomial can be factored. X^2+2x+3 ---------- Think of two integers whose product is ac= 1*3 = 3 and whose sum is b=2 ---------- No such integers exist. The trinomial cannot be factored using the ac method. =============== Cheers, Stan H.

Percentage-and-ratio-word-problems/93543: I have tried 3 different algebra tutors, to no answer. Suppose a cost benefit model is given by y= 2845 over 100-x . Where y is the cost for removing x percent of a given a pollutant can be removed for $23,000? Choices are: 114.1%, 89%, 8.9%, 447% 1 solutions Answer 68102 by stanbon(57290)   on 2007-08-20 22:41:35 (Show Source): You can put this solution on YOUR website! Suppose a cost benefit model is given by y= 2845 over 100-x . Where y is the cost for removing x percent of a given a pollutant can be removed for $23,000? Choices are: 114.1%, 89%, 8.9%, 447% ---------------- With those figures I do not get any one of those answers. ---------------- 23000 = 2845/(100-x) 100-x = 2845/23000 -x = (2845/23000)-100 x = 99.88 % ====================== Cheers, Stan H.

Polynomials-and-rational-expressions/93540: I am in need of some help Solve by completeing the square x^2=5x+2 Thank you 1 solutions Answer 68101 by stanbon(57290)   on 2007-08-20 22:34:14 (Show Source): You can put this solution on YOUR website! Solve by completeing the square x^2=5x+2 -------------- x^2-5x+? = 2 + ? x^2-5x+[(1/2)5]^2 = 2 + [(1/2)5]^2 x^2-5x+(25/4) = 2 + (25/4) (x+(5/2))^2 = 33/4 x+(5/2) = [sqrt33]/2 or x+(5/2) = -[sqrt33]/2 x = [-5+sqrt33]/2 or x = [-5-sqrt33]/2 ===================== Cheers, Stan H.

Radicals/93538: This question is from textbook algebra 1 how do u do order of operations correct 1 solutions Answer 68100 by stanbon(57290)   on 2007-08-20 22:29:44 (Show Source): You can put this solution on YOUR website! Two steps: 1st: Perform all multiplication and division as they appear from left to right. 2nd: Perform all addition and subtraction as they appear from left to right. Chers, Stan H.

Graphs/93497: Hello out there,I really need some help really bad with some tough problems,The first one is,Solve x^2+7x-8=0 by graphing.If the solutions are not exact,estimate the answers by indicating the consecutive integers between which the roots are located.The next one is,Solve -x^2+6x-5=0 by graphing.If the solutions are not exact,estimate the answers by indicating the consecutive integers between which the roots are located.The third one is,Solve x^2+6x-2=0 by graphing.If the solutions are not exact,estimate the answers by indicating the consecutive integers between which the roots are located.And the last one is,Solve x^2-4x+3=0 by graphing.If the solutions are not exact,estimate the answers by indicating the consecutive integers between which the roots are located,thanks to whoever can help. 1 solutions Answer 68093 by stanbon(57290)   on 2007-08-20 20:23:55 (Show Source): You can put this solution on YOUR website! The first one is,Solve x^2+7x-8=0 by graphing.If the solutions are not exact,estimate the answers by indicating the consecutive integers between which the roots are located. You can graph these by finding 3 points and drawing a parabola thru them. Answers: x=-8 x=1 --------------------- Solve -x^2+6x-5=0 by graphing.If the solutions are not exact,estimate the answers by indicating the consecutive integers between which the roots are located. Answers: x = 1 x=5 --------------------- Solve x^2+6x-2=0 by graphing.If the solutions are not exact,estimate the answers by indicating the consecutive integers between which the roots are located. Answers: x between -7 and -6; x between 0 and 1 ------------------- Solve x^2-4x+3=0 by graphing.If the solutions are not exact,estimate the answers by indicating the consecutive integers between which the roots are located, I'll leave this one to you. =============== Cheers, Stan H.

Numeric_Fractions/93506: Which quadrant will the area be if x > 0 and y < 0? Can the area be shifted to a different quadrant simply by using additional inequalities? Why? I cannot understand the question. Kindly help me. Thank you for helping me out 1 solutions Answer 68091 by stanbon(57290)   on 2007-08-20 20:13:10 (Show Source): You can put this solution on YOUR website! x is positive and y is negative in the 4th Quadrant. Both x and y are positive in the 1st Quadrant. Both x and y are negative in the 3rd Quadrant. x is negative and y is positive in the 2nd Quadrant. ============== Cheers, Stan H. ============= Cheers, Stan H.

Probability-and-statistics/93508: evaluate 35 C 1 1 solutions Answer 68090 by stanbon(57290)   on 2007-08-20 20:10:03 (Show Source): You can put this solution on YOUR website! 35C1 = 35 =========== Cheers, Stan H.

Trigonometry-basics/93512: This question is from textbook Algebra and Trigonometry The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^(rt) where r is expressed as a decimal. Solve this formula for t in terms of A, P, and r. 1 solutions Answer 68089 by stanbon(57290)   on 2007-08-20 20:08:02 (Show Source): You can put this solution on YOUR website! A=Pe^(rt) where r is expressed as a decimal. Solve this formula for t in terms of A, P, and r. --------------- A=Pe^(rt) Divide both sides by P: A/P = e^(rt) Take the natural log of both sides to get: ln(A/P) = rt Divide both sides by r: (1/r)ln(A/P) = t ============= Cheers, Stan H.