Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 166911: Not from a textbook. Not sure how to show or explain the answer. I can figure out the first 3 years (108, 116.64, 125.97) I'm not sure about the n and algebraic equation needed. Thank you in advance for any and all help given.
Here is the problem.
Suppose a population of initial size 100 grows at the rate of 8% per year. What is the size of the population at the end of year 1?
What is the size of the population at the end of year 2?
What is the size of the population at the end of year 3?
What is the size of the population at the end of year n?
What algebraic equation would you need to solve to find the number of years x that it would take for our population to reach 200? Use a calculator to solve to x?
Click here to see answer by scott8148(6628)   |
Question 167043: I have tried to figure out the equation to solve this problem. I have had friends help and together we could not find the anwser. I looked in the back to get the anwser and I can not figure out how to get the solution. I am trying to find out how many shares of each the pension fund owns.
A pension fund owns 2,000 fewer shares in mutual stock than mutual bond funds. Currently, the stock funds sell for $12 per share and the bonds sell for $15 per share. How many shares of each does the pension fund own if the value of the securities is $165,000.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 167130: I have been working on this math problem and I can't figure out how to get the answer. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Problem Solving Using Polynomial Equations
Solve each problem. If there are two correct answers, give both of them.
The area of a right triangle is 44m^2. Find the lengths of its legs if one of the legs is 3m longer than the other.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 167137: I have been trying to figure out this math problem and I can't get the answer. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Problem Solving Using Polynomial Equations
Solve each problem. If there are two correct answers, give both of them.
A rectangle is 15cm wide and 18cm long. If both dimensions are decreased by the same amount, the area of the new rectangle formed is 116cm^2 less than the area of the original. Find the dimensions of the new rectangle.
Click here to see answer by nerdybill(7384)  |
Question 167175: In a pick 6 lottery game, ten balls labeled zero through nine are placed in a jar and selected one at a time, without replacement. To win, you must match all six in any order. How many possible sets of six numbers are there?
Click here to see answer by checkley77(12844) |
Question 167133: I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Problem Solving Using Polynomial Equations
Solve each problem. If there are two correct answers, give both of them.
The top of a 15-foot ladder is 3ft farther up a wall than the foot of the ladder is from the bottom of the wall. How far is the foot of the ladder from the bottom of the wall?
Click here to see answer by scott8148(6628) |
Question 167202: Julie and Eric row their boat( at a constant speed) 45 miles downstream for 5 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 9 hours. Find the rate of the current.
Click here to see answer by Mathtut(3670) |
Question 167387: A manufacturer estimates that the total cost of producing x items per day is given by the function C(x)=0.01x^2-4x+1500 with C in dollars. How many items should be produced each day so that the cost will be a minimum? What will be the minimum cost?
Click here to see answer by nerdybill(7384) |
Question 167307: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Solving Polynomial Inequalitites
Find and graph the solution set of each inequality.
x^4-18<7x^2
Click here to see answer by checkley77(12844) |
Question 167483: You have been hired to renovate a family room. Instead of measuring the length and width of the room, the owners told you: The length of the family room is 5 less than twice the width. The perimeter is 80 feet.
1) Find the length and width of the room.
2) The carpet that is needed costs $12 per square yard.
3) The walls are 8 ft high. One gallon of paint can cover 200 square ft. You need to paint all four walls. (Dont worry about doors and windows) One gallon of paint costs $14.99. We will have leftover paint.
4) One-foot-square ceiling tiles are sold in packages of 50. One package of ceiling tiles cost $39.99. We will have leftover ceiling tiles.
5) Miscellaneous supplies will cost $28.
How much will it cost, in supplies, to re-do this family room?
Click here to see answer by Mathtut(3670) |
Question 167533: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
I dont know how to do this type of problem. Is there a formula? How would you solve the one above?
Click here to see answer by Mathtut(3670) |
Question 167572: Leon, who is always in a hurry, walked up an escalator, while it was moving, at the rate of one step per second and reached the top in 28 steps. The next day he climbed two steps per second (skipping none), also while it was moving, and reached the top in 40 steps.
***Need ASAP!!!
Click here to see answer by Mathtut(3670) |
Question 167572: Leon, who is always in a hurry, walked up an escalator, while it was moving, at the rate of one step per second and reached the top in 28 steps. The next day he climbed two steps per second (skipping none), also while it was moving, and reached the top in 40 steps.
***Need ASAP!!!
Click here to see answer by gonzo(654) |
Question 167613: A box with an open top is to be constructed by cutting 3-inch squares from a rectangular sheet of tin whose length is twice its width. What are the dimensions of the sheet of tin that results in a box having a volume of 60 cubic inches?
Click here to see answer by nerdybill(7384) |
Question 167636: In a pick 6 lottery game, ten balls labeled zero through nine are placed ina jar and selected one at a time, without replacement. To win, you must match all six in any order. How many possible sets of six numbers are there?
Click here to see answer by stanbon(75887) |
Question 167653: a large soup can is to be designed so that the can will hold 16π in^3 (about 28oz) of soup. find what height and radius of the cylindrical can will minimize the amount of metal needed. note: you will need to use the "minimum" program on your calculator. -- I have no idea where to even start with this problem.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 167653: a large soup can is to be designed so that the can will hold 16π in^3 (about 28oz) of soup. find what height and radius of the cylindrical can will minimize the amount of metal needed. note: you will need to use the "minimum" program on your calculator. -- I have no idea where to even start with this problem.
Click here to see answer by Alan3354(69443)  |
Question 167660: 1. Fifthteen year ago Jennifer was a quarter of the age she would be
fifthteen years from now. How old is Jennifer?
2.Simplify the following
3 7/10=2 3/4
3. Give he oder pai (4,1)(5,2) develop an equaion in the slop inercpt format?
4. Find the slopes of he line going though
(0,7) and (2,5)
Click here to see answer by alexpcah(3) |
Question 167508: Hi, i've been having a lot of trouble slving this any help would be nice!
In order to join the math club at witless junior high, potential members must guess a secret whole number betwee 1 and 50, by asking yes-or-no questions only. Willy wanted to join so he tried the fowwing questions:
1. Is the number greater than 25?
2. is the number evenly divisible by 2?
3. is the number evenly divisible by 3?
4. is the number evenly divisible by 5?
After he was told the answers he found that he didn't have enough information.
he then asked the following question:
5. is the number a perfect square? Answer: No
what is the number?
Click here to see answer by kev82(151) |
Question 167740: Two cyclists begin traveling in the same direction on the same bike path. One travels at 20 miles per hour, and the other travels at 14 miles per hour. After how much time will the cyclists be 15 miles apart?
d=rxt d-distance r-rate(speed) t-time
---------------r----t--d
20 mph bike--20--t--20t
14 mph bike--14--t--14t
--------------------------
14t + 20t = 15
34t = 15
34t ÷ 34 = 15 ÷ 34
t = .44
44 minutes
Click here to see answer by jim_thompson5910(35256) |
Question 167746: A fishing trawler has radioed the Coast Guard for a helicopter to pick up an injured crew member. At the time of the emergency message, the trawler is 660 kilometers from the helicopter and heading toward it. The average speed of the trawler is 30 kilometers per hour, and the average speed of the helicopter is 300 kilometers per hour. How long will it take the helicopter to reach the trawler?
r*t=d
------------r---t--d
trawler-----30--t--30t
helicopter--300-t--300t
-------------
Am I suppose to add like terms, or subtract them? I subtracted them.
-------------
300t - 30t = 660
270t = 660
270t ÷ 270 = 660 ÷ 270
t = 2.44
2 hrs. 26 min.
Click here to see answer by stanbon(75887) |
Question 167746: A fishing trawler has radioed the Coast Guard for a helicopter to pick up an injured crew member. At the time of the emergency message, the trawler is 660 kilometers from the helicopter and heading toward it. The average speed of the trawler is 30 kilometers per hour, and the average speed of the helicopter is 300 kilometers per hour. How long will it take the helicopter to reach the trawler?
r*t=d
------------r---t--d
trawler-----30--t--30t
helicopter--300-t--300t
-------------
Am I suppose to add like terms, or subtract them? I subtracted them.
-------------
300t - 30t = 660
270t = 660
270t ÷ 270 = 660 ÷ 270
t = 2.44
2 hrs. 26 min.
Click here to see answer by jim_thompson5910(35256) |
Question 167771: P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial p(1+r/2)^2
represents the value of the investment after 1 year. Rewrite this expression
without parentheses. Evaluate the polynomial if P = $200 and r =10%.
I am so confused can someone please help me? Thank you
Click here to see answer by checkley77(12844) |
Question 168004: Roberto invested some money at 7%, and then invested $3000 more than twice this amount at 10%. His total annual income from the two investments was $3810. How much was invested at 10%?
P.S. I am assuming that this is to be translated into an actual formula in order to obtain the answer, but I can get really frustrated with almost all word problems. Please help me. Thank you.
Click here to see answer by josmiceli(19441)  |
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