Tutors Answer Your Questions about Systems-of-equations (FREE)
Question 38216: I can't seem to figure this one out. Any help is appreciated. Thank you!
The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters.
a)Write h as a function of r.
b)What is the measurement of the height if the radius of the cylinder is 3 centimeters?
c)Graph this function.
Click here to see answer by fractalier(2101)   |
Question 38206: Need Help badly. I don't understand at all.
2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters.
a) Write h as a function of r.
Answer:
Show work in this space.
b) What is the measurement of the height if the radius of the cylinder is 3 centimeters?
Answer:
Show work in this space.
c) Graph this function.
Show graph here.
Click here to see answer by fractalier(2101) |
Question 38205: 1) An open-top box is to be constructed from a 4 by 6 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer:
b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here.
c) Using the graph, what is the value of x that will produce the maximum volume?
Answer.
Click here to see answer by fractalier(2101) |
Question 38309: We have threee adults who have collectively have math degress, MBA and a 12 year old with a problem that none of us came arrive at the equation. It reads as folows:
The difference of a number from 8 is 3 more than the product of the same number and five.
This is a bit of an embarassment as I am visiting my nephew and he is having fun watching us try to dome with this answer.
Hope you can help.
Thanks
Deborah Linsley
Click here to see answer by Nate(3500) |
Question 38309: We have threee adults who have collectively have math degress, MBA and a 12 year old with a problem that none of us came arrive at the equation. It reads as folows:
The difference of a number from 8 is 3 more than the product of the same number and five.
This is a bit of an embarassment as I am visiting my nephew and he is having fun watching us try to dome with this answer.
Hope you can help.
Thanks
Deborah Linsley
Click here to see answer by Paul(988) |
Question 38309: We have threee adults who have collectively have math degress, MBA and a 12 year old with a problem that none of us came arrive at the equation. It reads as folows:
The difference of a number from 8 is 3 more than the product of the same number and five.
This is a bit of an embarassment as I am visiting my nephew and he is having fun watching us try to dome with this answer.
Hope you can help.
Thanks
Deborah Linsley
Click here to see answer by askmemath(368) |
Question 38411: Need help answering this question please. Have to have it done by tonight.
3) The formula for calculating the amount of money returned for deposit money into a bank account or CD (Certificate of Deposit) is given by the following:
A = P(1+ r over n)^nt
A is the amount of returned
P is the principal amount deposited
r is the annual interest rate (expressed as a decimal)
n is the compound period
t is the number of years
Suppose you deposit $20,000 for 3 years at a rate of 8%.
a) Calculate the return (A) if the bank compounds annually (n = 1).
Answer:
Show work in this space. Use ^ to indicate the power.
b) Calculate the return (A) if the bank compounds quarterly (n = 4), and carry all calculations to 7 significant figures.
Answer:
Show work in this space .
c) Calculate the return (A) if the bank compounds monthly (n = 12), and carry all calculations to 7 significant figures.
Answer:
Show work in this space.
d) Calculate the return (A) if the bank compounds daily (n = 365), and carry all calculations to 7 significant figures.
Answer:
Show work in this space.
e) What observation can you make about the increase in your return as your compounding increases more frequently?
Answer:
f) If a bank compounds continuous, then the formula becomes simpler, that is A=Pe^rt
where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding.
Answer:
Show work in this space
g) Now suppose, instead of knowing t, we know that the bank returned to us $25,000 with the bank compounding continuously. Using logarithms, find how long we left the money in the bank (find t).
Answer:
Show work in this space
h) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer?
Answer: Show work in this space.
Click here to see answer by Nate(3500) |
Question 39333: This is actually a word problem.
A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create a 100lb mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
Click here to see answer by checkley71(8403) |
Question 41327: A ball is thrown vertically upward from the ground wth an initial speed of 80ft/sec. It's height is given by h=80t-16t^2. How high does the ball go? When does the ball hit the ground?---I would really appreciate some help with this question. Thanks!!
Click here to see answer by Nate(3500) |
Question 41328: A parking lot is to be formed by fencing in a rectangular plot of land except for an entrance 12m wide along one of the sides. Find the dimensions of the lot with the greatest area. 300 m of fencing is used. Here's another word problem that I'm having some trouble with. Thanks!
Click here to see answer by Paul(988) |
Question 42562: I need some help getting the answer on this one:
At the beginning of a bicycle race for charity, Roberto and Juana are 30 mi. apart. If they leave at the same time and ride in the same direction, Roberto overtakes Juana in 6 hr. If they ride toward each other, they meet in 1 hr. What are their speeds.
Note: The answer is in the back of the book, I just need help in getting to that answer.
Click here to see answer by fractalier(2101) |
Question 42961: I GOT HOMEWORK FROM ALGEBRA BUT I DON'T GET IT AT ALL WE ARE LEARNING ON "SOLVING SYSTEMS BY GRAPHING AND SUBSTITUTION" BUT THAT'S THE PART I DON'T GET CAN YALL PLEASE HELP ME?
HERE'S ONE OF THE PROBLEMS THEY GAVE ME
3x + 2y=-12 & x + 2y=-2
Click here to see answer by jmg(22) |
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