Tutors Answer Your Questions about Equations (FREE)
Question 294663: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , (H = p*a^t) where p is the number of new homes built in the first year recorded, and t is the number of years.
You are going to decide if you would like to be a homebuilder in this market.
Step 1 is to choose a value for p between 50 and 100; this is the initial number of homes built.
Step 2 is to choose a value for a; this is the growth factor you can choose a to be any number between 0 and 1 OR choose a to be any number greater than 1. Do not choose 0 or 1, as these are trivial cases.
1) Insert the chosen values for p and a into the formula listed above.
2) Use the formula to find the number of homes built, H, at any three values of time, t, in years that you want. Show your calculations and put units on your final answer!
3) Provide a written summary of your results explaining them in the context of the original problem. If you were a homebuilder, would you be interested in continuing to build homes in this market over the long run? Explain why or why not.
Do NOT use the same values for p and a as another student in the class.
Be sure to reference your sources using APA style.
Click here to see answer by richwmiller(17219)   |
Question 295222: I asked a friend of mine who is proficient in math to help me with this well needless to say she has no idea. Any help would be greatly appreciated. I know we can only post 4 problems a day the problems I am submitting are homework for college however not graded. Our homework is optional for us to do, I chose to do it in order to learn so I am able to do the test at the end of the term. I want to make that clear so the tutors dont think I am looking to have people do my homework for me for a grade. These problems are not graded. Thanks for the help
A new farm pond was stocked with 2500 crappies in 2003. The crappie population in 2006 was found to be 4320.
a) Let t be the number of years after 2003 (in other words t = 0 corresponds to 2003). Write down the initial crappie population at t = 3.
b) Find the growth function of the form f(t) = y0 bt that gives the crappie population t years after 2003. The function you have found models _________________________.
c) Predict the crappie population in 2010.
d) In what year will the crappie population reach 13,000? Give the exact value for t and then use your calculator to approximate t to get the year.
e) Are your answers for (c) and (d) consistent with the given population data in your answer to (b)?
John
Click here to see answer by richwmiller(17219) |
Question 295222: I asked a friend of mine who is proficient in math to help me with this well needless to say she has no idea. Any help would be greatly appreciated. I know we can only post 4 problems a day the problems I am submitting are homework for college however not graded. Our homework is optional for us to do, I chose to do it in order to learn so I am able to do the test at the end of the term. I want to make that clear so the tutors dont think I am looking to have people do my homework for me for a grade. These problems are not graded. Thanks for the help
A new farm pond was stocked with 2500 crappies in 2003. The crappie population in 2006 was found to be 4320.
a) Let t be the number of years after 2003 (in other words t = 0 corresponds to 2003). Write down the initial crappie population at t = 3.
b) Find the growth function of the form f(t) = y0 bt that gives the crappie population t years after 2003. The function you have found models _________________________.
c) Predict the crappie population in 2010.
d) In what year will the crappie population reach 13,000? Give the exact value for t and then use your calculator to approximate t to get the year.
e) Are your answers for (c) and (d) consistent with the given population data in your answer to (b)?
John
Click here to see answer by dabanfield(803) |
Question 295569: When dealing with Functional Relationships I need to know what the equation to represent each function is with the table provided. The table is an input/output table. The input numbers are: 5, 6, 7, 8, and 9. The output numbers are: 5, ?, 9, 11, and 13. I know that the ? is 7, just by the pattern. What I don't know is what equation could I write to give me that in every instance?
Click here to see answer by richwmiller(17219) |
Question 296139: A lumber yard can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $20 on a unit of lumber and $45 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $11440?
Click here to see answer by richwmiller(17219) |
Question 296274: The population of a small town at the beginning of the year was 7,000. Records show that during the year there were 5 births, 7 deaths, 28 new people moved into the town, and 12 moved out. what was the percent of increase or decrease in the town population?
My question is, how do you calculate percent increase or decrease?
Click here to see answer by richwmiller(17219) |
Question 296381: You currently have $15 and plan to save $5.50 per week. Your friend has $30 and plans to save $3.25 each week. When (at what same time) will you have the same amount of money as your friend?
I have to explain how I solved the problem and show as many stratergies as I can.
Click here to see answer by checkley77(12844) |
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