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Recent problems solved by 'stanbon'

stanbon answered: 57345 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 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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Linear-equations/301188: I have to graph this 2x+3y=34 and 25x+30y=350 as well as work it out. All I got out of this was y=-5/6x+35/3 and if that is right for the 2nd equation I don't know how to graph it and 34/3 and -2/3 for the first equation and if thats right I don't know how to graph it. Please help me I need this done in a couple days. I appreciate all of your help and support. 1 solutions Answer 215970 by stanbon(57418)   on 2010-05-05 23:21:59 (Show Source): You can put this solution on YOUR website! I have to graph this 2x+3y=34 --- y = -(2/3)x + (34/3) Plot two points and draw a line thru them: If x = 0, y = (34/3) = 11 1/3 giving you point (0,11 1/3) --- If x = 3, y = -2 + 34/3 = 28/3 = 7 1/3 givng you point (3, 7 1/3) ------ ======================================================= 25x+30y=350 --- y = (-5/6)x + (35/3) Plot two points and draw a line thru them. If x = 0, y = (35/3) = 11 2/3 giving you point (0, 11 2/3) --- If x = 6, y = -5 + 35/3 giving you point (6, 6 2/3) --- ====================================================== Cheers, Stan H. ====================================================

Sequences-and-series/301181: Calculate 3 5/6 + 4 2/3 1 solutions Answer 215965 by stanbon(57418)   on 2010-05-05 23:06:29 (Show Source): You can put this solution on YOUR website! 3 5/6 + 4 2/3 ------------------------ 3 5/6 + 4 4/6 --- = 7 9/6 --- = 8 3/6 --- = 9 1/2 ============ Cheers, Stan H.

logarithm/301156: Solve the logarithm. What is the solution set? (the 3's are at the bottom) Log3(Log3^z)=1 1 solutions Answer 215959 by stanbon(57418)   on 2010-05-05 22:12:55 (Show Source): You can put this solution on YOUR website! Solve the logarithm. What is the solution set? (the 3's are at the bottom) Log3(Log3^z)=1 ---------------- Log(3^z) = 3^1 --- 3^z = 10^3 ---- z*log(3) = 3 z = 3/log(3) --- z = 6.2877 =============== Cheers, Stan H. ===============

Trigonometry-basics/301151: find the exact value of the expression: sin(-11(pi)/12) 1 solutions Answer 215958 by stanbon(57418)   on 2010-05-05 22:08:07 (Show Source): You can put this solution on YOUR website! find the exact value of the expression: sin(-11(pi)/12) ----------------- (-11/12)pi = -165 degrees ------------------------- sin(-165 degree) = - sin(15 degrees) --- = -sin(60-45) ----------------------------------- = -[sin(60)cos(45)-cos(60)sin(45)] ----------------------------------- = -[sqrt(3)/2*sqrt(2)/2 - (1/2)(sqrt(2)/2] ------------------ = -[sqrt(6)/4 - sqrt(2)/4] ----- = -[sqrt(6)-sqrt(2)]/4 --- Cheers, Stan H.

Human-and-algebraic-language/301154: Translate seventeen times the difference between a value and twelve is equal to one-half the unknown number. 1 solutions Answer 215954 by stanbon(57418)   on 2010-05-05 21:55:52 (Show Source): You can put this solution on YOUR website! Translate seventeen times the difference between a value and twelve is equal to one-half the unknown number. --------------- 17(x-12) = x/2 ===================== Cheers, Stan H.

Probability-and-statistics/301134: Of graduating high school seniors, 14% said that their generation will be remembered for their social concerns. If 58 graduating seniors are selected at random, find the probability that at least 31 of them will say their generation will be remembered for their social concerns. 1 solutions Answer 215953 by stanbon(57418)   on 2010-05-05 21:54:13 (Show Source): You can put this solution on YOUR website! Of graduating high school seniors, 14% said that their generation will be remembered for their social concerns. If 58 graduating seniors are selected at random, find the probability that at least 31 of them will say their generation will be remembered for their social concerns. -------------- Binomial Problem: n = 58 ; p = 0.14 ; x >= 31 ----- P(31<= x <=58) = 1 - binomcdf(58,0.14,30) = 1.75x10^-12 =============================== Cheers, Stan H.

Reduction-of-unit-multipliers/301149: use unit multiplier to convert 20 square inches per minute to square yards per hour 1 solutions Answer 215952 by stanbon(57418)   on 2010-05-05 21:49:39 (Show Source): You can put this solution on YOUR website! use unit multiplier to convert 20 square inches per minute to square yards per hour ------------- (20)(in^2/min)(1 yrd/36 in)^2*(60 min/1 hr) --- = [20*1^2*60]/[1*36^2*1](sq yds/hr) --- = [(1200)/(1296)](sq yds/hr) --- = 0.9259 (sq yds/hr) =========================================== Cheers, Stan H.

Circles/301143: Find the area of the circle with the given circumference. Use 3.14 for pi. C=31.4 ft 1 solutions Answer 215947 by stanbon(57418)   on 2010-05-05 21:34:58 (Show Source): You can put this solution on YOUR website! Find the area of the circle with the given circumference. Use 3.14 for pi. C=31.4 ft ------------- C = 2(pi)r 31.4 = 2(3.14)r r = 5 --- Area = (3.14)(5^2) = 78.5 sq. ft. ================================== Cheers, Stan H.

Sequences-and-series/301144: Solve the equation 1/8 + 5/6x = -2/9 1 solutions Answer 215942 by stanbon(57418)   on 2010-05-05 21:31:16 (Show Source): You can put this solution on YOUR website! Solve the equation 1/8 + (5/6)x = -2/9 --- Multiply thru by 72 to get: 9 + 60x = -16 60x = -25 x = -5/12 =========================== Cheers, Stan H.

absolute-value/300763: how small is joeys cock 1 solutions Answer 215739 by stanbon(57418)   on 2010-05-05 08:37:04 (Show Source): You can put this solution on YOUR website! nonsense

Probability-and-statistics/300729: XYZ Ltd. plans to sell 30,000 units next year. The expected cost of goods sold is as follows: (Rs. per unit) Raw material Manufacturing expenses Selling, administration & financial Exp. Selling price 100 30 20 200 The duration at various stages of the operating cycle is expected to be as follows: Raw materials stage Work-in-process stage Finished goods stage Debtors stage 2 months 1 month ½ month 1 month You are required to: (i) calculate the investment in various current assets, and (ii) estimate the gross working capital requirement if the desired cash balance is 5% of the gross working capital requirements. Assume the monthly sales level of 2,500 units. 1 solutions Answer 215738 by stanbon(57418)   on 2010-05-05 08:32:53 (Show Source): You can put this solution on YOUR website! duplicate posting

Probability-and-statistics/300733: It is known that 40% of all students at the school are currently taking a course in philosophy. We select 10 students at random. What is the probability that exactly 4 of these students are currently taking a philosophy course? 1 solutions Answer 215736 by stanbon(57418)   on 2010-05-05 08:30:47 (Show Source): You can put this solution on YOUR website! It is known that 40% of all students at the school are currently taking a course in philosophy. We select 10 students at random. What is the probability that exactly 4 of these students are currently taking a philosophy course? --- Binomial Problem with n = 10 ; p = = 0.4 ; x = 4 --- P(x=4) = 10C4*(0.4)^4*(0.6)^6 = binompdf(10,0.4,4) = 0.2508 =========== Cheers, Stan H.

Probability-and-statistics/300776: The age distribution of a group of 100 people participating in a medical study is summarized: Mean: 47.5 years Median: 44.8 years Standard Deviation: 6.1 If all 100 people are alive 5 years from now, how will the mean, median, and standard deviation change? I want to say they all increase by 5, but I don't know why. 1 solutions Answer 215735 by stanbon(57418)   on 2010-05-05 08:27:08 (Show Source): You can put this solution on YOUR website! Try it on a set {1,2,3,4,5} compared to set {6,7,8,9,10} Cheers, Stan H.

Probability-and-statistics/300757: 2. Assume the body temperatures of healthy adults are normally distributed with a mean of 98.20 °F and a standard deviation of 0.62 °F (based on data from the University of Maryland researchers). a. If you have a body temperature of 99.00 °F, what is your percentile score? b. Convert 99.00 °F to a standard score (or a z-score). c. Is a body temperature of 99.00 °F unusual? Why or why not? d. Fifty adults are randomly selected. What is the likelihood that the mean of their body temperatures is 97.98 °F or lower? e. A person’s body temperature is found to be 101.00 °F. Is the result unusual? Why or why not? What should you conclude? f. What body temperature is the 95th percentile? g. What body temperature is the 5th percentile? h. Bellevue Hospital in New York City uses 100.6 °F as the lowest temperature considered to indicate a fever. What percentage of normal and healthy adults would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6 °F is appropriate? 1 solutions Answer 215733 by stanbon(57418)   on 2010-05-05 08:23:36 (Show Source): You can put this solution on YOUR website! 2. Assume the body temperatures of healthy adults are normally distributed with a mean of 98.20 °F and a standard deviation of 0.62 °F (based on data from the University of Maryland researchers). a. If you have a body temperature of 99.00 °F, what is your percentile score? Find the z-score for 99. Find the percent of population with a z-score that is less than the z-score for 99. The is the percentile score of 99 ------------------------------------------ b. Convert 99.00 °F to a standard score (or a z-score). You've had to do that in the "a" problem. -------------------------------------------------- c. Is a body temperature of 99.00 °F unusual? Why or why not? If its z-score is less than -2 or more than +2 it is considered to be "unusual". ----------------------------- d. Fifty adults are randomly selected. What is the likelihood that the mean of their body temperatures is 97.98 °F or lower? Find the z-score of 97.98 using mean = 98.2 and std = 0.62/sqrt(50) ----------------------------- e. A person’s body temperature is found to be 101.00 °F. Is the result unusual? Why or why not? What should you conclude? Find the z-score of 101 and make your conclusion. ------ f. What body temperature is the 95th percentile? Find the z-score with a left tail of 0.95. Convert to a temperature score using temp = z*s+u ----------------------------------- g. What body temperature is the 5th percentile? Findt the z-score with a left tail of 5%. Convert to a temperature score using temp = z*s+u ------------------------------------- h. Bellevue Hospital in New York City uses 100.6 °F as the lowest temperature considered to indicate a fever. What percentage of normal and healthy adults would be considered to have a fever? Find the z-score of 100.6. Find the percent population above that z-score. ---------------------------- Does this percentage suggest that a cutoff of 100.6 °F is appropriate? Make your judgement. ======================= Cheers, Stan H.

Probability-and-statistics/300744: A woman and her partner are told that there is a 1 in 4 chance of conceiving a child with a genetic disease. Their first baby has a the genetic disease. What is the probability now that their next child will be affected? 1 solutions Answer 215730 by stanbon(57418)   on 2010-05-05 07:44:34 (Show Source): You can put this solution on YOUR website! A woman and her partner are told that there is a 1 in 4 chance of conceiving a child with a genetic disease. Their first baby has a the genetic disease. What is the probability now that their next child will be affected? --- The births are independent events. P(next child affected) = 1/4 ============== Cheers, Stan H.

Probability-and-statistics/300762: It is required to sit 3 cats and 2 dogs in a row so that the dogs occupy the even places, How many arrangements are possible ? Is it as easy as 3C2 ? 1 solutions Answer 215729 by stanbon(57418)   on 2010-05-05 07:41:39 (Show Source): You can put this solution on YOUR website! It is required to sit 3 cats and 2 dogs in a row so that the dogs occupy the even places, How many arrangements are possible ? ------------------------------ The even places are place 2 and place 4. There are 2 ways to arrange the 2 dogs in those 2 places. ---- The three cats can be selected in 1 way and can be arranged in 3! = 6 ways ---- The total # of arrangements is 2*6 = 12 =========================================== Cheers, Stan H.

Functions/300695: If y varies inversely as the cube of x, write the particular equation, given that the graph contains (4,7). Find the x if y = 10 1 solutions Answer 215709 by stanbon(57418)   on 2010-05-04 22:51:54 (Show Source): You can put this solution on YOUR website! If y varies inversely as the cube of x --- y = k/x^3 --- write the particular equation, given that the graph contains (4,7). --- Solve for "k" given that y = 7 when x = 4 7 = k/4^3 k = 7*64 = 448 --- Equation for this Problem: y = 448/x^3 ---- Find the x if y = 10 10 = 448/x^3 x^3 = 448/10 x = 3.5516 Cheers, Stan H.

Probability-and-statistics/300521: Given the following data from two independent samples from which the population standard deviation is known, conduct a two-tailed hypothesis test to determine if the first sample mean is smaller than the second sample mean, given a 0.10 level of significance. n1 = 42 n2 = XX xbar1= XX xbar2 = XX sigma1=XX sigma2 = XX 1 solutions Answer 215704 by stanbon(57418)   on 2010-05-04 22:17:08 (Show Source): You can put this solution on YOUR website! XX not decipherable. Cheers, Stan H.

Probability-and-statistics/300522: Conduct a one-tailed hypothesis test given the information below. A test was conducted to determine whether gender of a spokesperson affected the likelihood that consumers would prefer a new product. A survey of consumers at a trade show employing a female spokesperson determined that XX out of 150 customers preferred the product, while XX of 180 customers preferred the product when a male spokesperson was employed. At the 0.01 level of significance, do the samples provide sufficient evidence to indicate that on the average, fewer consumers prefer a new product when the spokesperson is female? 1 solutions Answer 215703 by stanbon(57418)   on 2010-05-04 22:15:22 (Show Source): You can put this solution on YOUR website! XX not decipherable --- Cheers, Stan H.

Probability-and-statistics/300524: Conduct a two-tailed hypothesis test given the information below. Assuming that the population standard deviations are unknown, but equal for male and female Grade Point Averages (GPAs), use the following sample data to test whether the averages are different at the 0.05 level of significance. Male GPA’s Female GPA’s Sample Size XX XX Sample Mean XXX XXX Sample Standard Dev XX XX 1 solutions Answer 215700 by stanbon(57418)   on 2010-05-04 22:13:13 (Show Source): You can put this solution on YOUR website! Data is not decipherable. Cheers, Stan H.

Probability-and-statistics/300523: Conduct a one-tailed hypothesis test given the information below. A test was conducted to determine whether gender of a spokesperson affected the likelihood that consumers would prefer a new product. A survey of consumers at a trade show employing a female spokesperson determined that XX out of 150 customers preferred the product, while XX of 180 customers preferred the product when a male spokesperson was employed. At the 0.01 level of significance, do the samples provide sufficient evidence to indicate that on the average, fewer consumers prefer a new product when the spokesperson is female? 1 solutions Answer 215699 by stanbon(57418)   on 2010-05-04 22:11:34 (Show Source): You can put this solution on YOUR website! Data is missing in the post. Cheers, Stan H.

Triangles/300684: the area of a right triangular rug is 12 squar feet. the length of the rug is 2 feet more then the width of the rug. what is the width od the right triangular rug? 1 solutions Answer 215696 by stanbon(57418)   on 2010-05-04 22:06:48 (Show Source): You can put this solution on YOUR website! The area of a right triangular rug is 12 square feet. the length of the rug is 2 feet more then the width of the rug. what is the width of the right triangular rug? --- Let the width be "x". Then the length is "x+2". --- Equation: Area = (1/2)*width*length --- 12 = (1/2)x(x+2) 24 = x^2 + 2x x^2 + 2x - 24 = 0 Factor: (x+6)(x-4) = 0 Positive solution: x = 4 ft. (width) x+2 = 6 ft. (length) ========================= Cheers, Stan H. =========================

Probability-and-statistics/300632: If a single fair coin (head/tail) is tossed, find the probability it will l and heads up. Also is this empirical or theoretical probability. 1 solutions Answer 215694 by stanbon(57418)   on 2010-05-04 22:00:25 (Show Source): You can put this solution on YOUR website! Essential words/numbers are missing from your post. Cheers, Stan H.

Linear_Equations_And_Systems_Word_Problems/300669: As a business owner I have to make many decisions on a daily basis to ensure that my company reaches the highest production levels possible with my products. Starting today my company has 34 hours and $350 available per day to produce my Model A and B type bicycles and before they start I need to know how many of each model can be made in a day in production. • Model A takes 2 hours to assemble and cost $25 per bike to make • Model B takes 3 hours to assemble and cost $30 per bike to make (Solve the equations for the different bicycle models that can be made daily with the desired technique learned (graphing, substitution, elimination, and matrix). Explain how to check your solution for both equations). I have been stuck on this for 2 days, I am so lost. 1 solutions Answer 215689 by stanbon(57418)   on 2010-05-04 21:52:33 (Show Source): You can put this solution on YOUR website! Starting today my company has 34 hours and $350 available per day to produce my Model A and B type bicycles and before they start I need to know how many of each model can be made in a day in production. • Model A takes 2 hours to assemble and cost $25 per bike to make • Model B takes 3 hours to assemble and cost $30 per bike to make --- Equation: Assembly time Eq:: 2A + 3B = 34 Value Equation:: 25A +30B = 350 (Solve the equations for the different bicycle models that can be made daily with the desired technique learned (graphing, substitution, elimination, and matrix). --- Modify the 1st equation to set it up for elimination of the "B" terms: 20A + 30B = 340 --- Substract that from the Value Equation and solve for "A"; 5A = 10 A = 2 (# of Model A bikes to make) --- Solve for "B": 2(2) + 3B = 34 3B = 30 B = 10 (# of Model B bikes to make) ============================================ Explain how to check your solution for both equations). Check your A,B numbers in the time and Value equations. ========================================================== Cheers, Stan H.

Probability-and-statistics/300667: there are 7 girls in a class and 3 boys. two students are to be chosen for a special porject. What is the probability both students will be girls? 1 solutions Answer 215682 by stanbon(57418)   on 2010-05-04 21:34:05 (Show Source): You can put this solution on YOUR website! there are 7 girls in a class and 3 boys. two students are to be chosen for a special porject. What is the probability both students will be girls? --- Ans: 7C2/10C2 = 21/45 = 7/15 --------------------------- Cheers, Stan H. -----------------------

Evaluation_Word_Problems/300656: I need to write a system of 2 equations in 2 unknowns for the problem. At Gwen's garage sale all books were one price, and all magazines were another price. Harriet bouth 4 books and 3 magazines for $1.45, and June bought 2 books and 5 magazines for $1.25. What was the price of a book and what was the price of a magazine? 1 solutions Answer 215679 by stanbon(57418)   on 2010-05-04 21:15:33 (Show Source): You can put this solution on YOUR website! write a system of 2 equations in 2 unknowns for the problem. At Gwen's garage sale all books were one price, and all magazines were another price. ---------------------- Harriet bought 4 books and 3 magazines for $1.45, June bought 2 books and 5 magazines for $1.25. ---------------------- What was the price of a book and what was the price of a magazine? --- Equations: 4b + 3m = 145 cents 2b + 5m = 125 cents ====================== Cheers, Stan H.

test/300642: Please help me answer this. The problem asks "Find the difference quotient and simplify your answer." f(x)= x^3 + x, f(x+h)-f(x)/h, h=0 1 solutions Answer 215677 by stanbon(57418)   on 2010-05-04 21:11:38 (Show Source): You can put this solution on YOUR website! "Find the difference quotient and simplify your answer." f(x)= x^3 + x, [f(x+h)-f(x)]/h ------- f(x+h)= (x+h)^3+x f(x+h)= x^3+3x^2h+3xh^2+h^3 + (x+h) f(x) = x^3 + x ----- Subtract f(x) from f(x+h) to get: f(x+h)-f(x) = 3x^2h + 3xh^2 + h^3 + h ----- Divide by "h": [f(x+h)-f(x)]/h = 3x^2 + 3xh + h^2 + 1 ============================================ Cheers, Stan H. ==================

Polynomials-and-rational-expressions/300636: i am haveing trouble factoring this. can you please help me? 1 solutions Answer 215673 by stanbon(57418)   on 2010-05-04 20:59:39 (Show Source): You can put this solution on YOUR website! trouble factoring this. can you please help me? 21x^5-24x^2-6x^4 --- Rearrange: 21x^5-6x^4-24x^2 --- = 3x^2(7x^3 - 2x^2 - 8) =============== The quadratic does not factor neatly. =============== Cheers, Stan H.

Inequalities/300638: How would you write an inequality for a problem that says: In the triangle below what values of "m" in centimeters allows the perimeter of the triangle to be less than 100 cm.? The three sides of the triangle are: " (m+15)cm. " " (2m-5)cm. " " (3m+6)cm. " 1 solutions Answer 215672 by stanbon(57418)   on 2010-05-04 20:50:06 (Show Source): You can put this solution on YOUR website! write an inequality for a problem that says: In the triangle below what values of "m" in centimeters allows the perimeter of the triangle to be less than 100 cm.? The three sides of the triangle are: " (m+15)cm. " " (2m-5)cm. " " (3m+6)cm. " --------------------- sum < 100 --- m+15 + 2x-5 + 3m+6 < 100 ============================= Cheers, Stan H. =============================

logarithm/300365: log625(1/5)=x I get to the point of 625^x=-5 and I am confused. May I please ask for assistance. 1 solutions Answer 215552 by stanbon(57418)   on 2010-05-04 13:06:14 (Show Source): You can put this solution on YOUR website! log625(1/5)=x --- Write the equation in exponential form. ----------- 625^x = (1/5) Write the right side in exponential form. --- 625^x = 5^(-1) ---- Since the base is 5 on the right side, convert the left side to base 5: (5^4)^x = 5^(-1) 5^(4x) = 5^(-1) --- The bases are the same so equate the exponents. --- 4x = -1 x = -1/4 =========== Cheers, Stan H.

logarithm/300316: Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. There are currently 63 million cars in a certain country, decreasing by 6.9% annually. How many years will it take for this country to have 33 million cars? Round to the nearest year. 1 solutions Answer 215526 by stanbon(57418)   on 2010-05-04 10:44:26 (Show Source): You can put this solution on YOUR website! Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. There are currently 63 million cars in a certain country, decreasing by 6.9% annually. How many years will it take for this country to have 33 million cars? Round to the nearest year. --------------------------------- N = I*e^(kt) --- Solve for "t" if I = 63 million, N = 33x10^6 and k = -0.069 ----------- 33 = 63*e^(-0.069t) --- e^(-0.069t) = 11/21 --- Take the natural log of both sides to get: -0.069t = ln(11/21) t = 9.37 years ======================= Cheers, Stan H. =======================