Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 371775: At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 35 mi/hr. Two hours later, a second truck leaves along the same route, traveling at 70 mi/hr. When will the second truck catch up to the first?
Click here to see answer by rfer(16322)  |
Question 371924: Write an equation line containing the given point and parallel to the given line. express your answer in the form y=m x+b. The equation of the line is y= ____
Simply answer. (Use integers or fraction for any numbers in the expression.
(-7,2); 8x=3y+7
Click here to see answer by ewatrrr(24785)  |
Question 371935: In chemistry the pH of a solution is defined by: pH=-log10(H+), where H+ is the hydrogen ion concentration of the solution in moles per liter.
Tomato juice has a hydrogen ion concentration of 10^-4.1 mole per liter. Find the pH of tomato juice.
Click here to see answer by ewatrrr(24785) |
Question 371938: The pH of a water sample is one of the many measurements of water quality done by the U.S. Geological Survey. the hydrogen ion concentration of the water in the Red River above Shreveport, Louisiana, was 9.77x10^-9 mole per liter on October 25, 1989. What was the pH of the water at that time?
Click here to see answer by scott8148(6628)  |
Question 371967: solving applications involving variation
simple interest. The simple interest I on an account varies jointly as the time t and the principal P. After one quarter (3 months) an $8000 principal earned $100 in interest. HOw much would a $10000 principal earn in 5 months?
Help, been working on this one problem for over an hour.
Click here to see answer by scott8148(6628) |
Question 372479: The attendance at a scholol variety show was 578 people. A ticket for the lower box is worth 75 peos and a ticket for the upper box is worth 40 pesos. If the total revenue is 29,295 pesos,about how many tickets were sold for the lower box?
Click here to see answer by mananth(16946)  |
Question 372478: A vending machine for canned soda takes only 5 and 10 coins. There are five times as many 10 peso coins than 5 peso coins in the machine. The total value of the coins is 440 pesos. How many of each kind are there?
Click here to see answer by mananth(16946) |
Question 372477: The attendance at a scholol variety show was 578 people. A ticket for the lower box is worth 75 and a ticket for the upper box is worth 40. If the total revenue is 29,295,about how many tickets were sold for the lower box?
(Ans. algebrically)
Click here to see answer by mananth(16946) |
Question 126517: You have taken a job as a financial consultant, and your first clients arrive in your office. Since you are new on the job, you particularly want to impress them with your thorough understanding of financial matters and your ability to explain mathematical ideas clearly. Your clients, Maria and George Jefferson, have both struggled to complete their undergraduate college degrees at night school and online, working hard to pay tuition themselves. They both graduated in 2005, and are now expecting twins, due in 8 months. The Jeffersons have come to you for help in planning for their children’s college education. They are hoping to save enough money to pay for four years of undergraduate education for both children. You meet with them, discuss their questions, plans, and needs, and offer to write up a report for them in which you will advise them, justifying your advice with an explanation of your calculations.
In your first conversation with Maria and George, you sensed immediately that Maria feels strongly that the couple should make sacrifices now in order to save enough to pay for both children’s college tuition. George, on the other hand, looks forward to spending some of his hard-earned money on a few of life’s luxuries; he wants to move to a larger house, buy a bigger television, and buy a second car. Your first task, therefore, is to convince George of the importance of providing for his children’s college tuition. Use the information in Table I (below) to write an introductory paragraph explaining why parents should plan ahead to help their children pay for college.
Your next task is to help the Jeffersons determine how much money they will need to save in order to guarantee that they will have enough for both children’s tuitions for four years of college. In Table II you will find information about the rising tuition and fees for 4-year colleges in the US over the last thirty years. Using 1976 as the starting year, graph the data in this table. Your x-axis should represent time, starting in 1976, and your y-axis should represent tuition costs. Use two different colors to distinguish between costs at private colleges and costs at public colleges. The points will not be perfectly linear, but in each case, private and public, you can draw a line that comes close to connecting the points. Draw these two lines, and extend them at least as far as 2030.
Use your lines to approximate the costs at private and public colleges in the years 2026, 2027, 2028, and 2029. Use these figures to determine the total amount of money George and Maria need to save in order to pay tuition and fees for both children. The second paragraph of your report should explain your work in creating the graph, and show the Jeffersons how you reached the totals for amounts they must save, in both cases, public and private colleges.
Both Jeffersons are working now, but when the twins arrive soon, Maria will take some time off from full-time work. They want to arrange to have money automatically deposited on the first of every month to an education account, and they think that with only one of them working, they will be able to deposit at most $120/month in the account. You know that the best education account available right now pays an annual interest rate of 9% compounded monthly, and you also know the formula for calculating total amount in the account:
A(t) = P [ ( 1 + r/12)12t - 1 ] ( 1 + 12/r )
where A(t) = the amount in the savings account after t years
P = the amount of money invested each month (in this case $120)
r = the annual rate of interest, written as a decimal (in this case 0.09)
t = the number of years the money is kept in the account
Using the formula above, calculate for the Jeffersons the total amount that they will have in the education account in 18 years, assuming that they regularly deposit $120 in the account on the first of every month throughout the 18-year period.
Maria knows that taking care of twins will be a full-time job, but she also hopes to have the energy to do some tutoring on weekends when George can take care of the children. She thinks that she will be able to manage 6 hours/week of tutoring, for which she charges $40/hour. If she does find herself able to work those hours, she and George could deposit a total of $1080/month into the education savings account. Compute for them their 18-year total assuming the new monthly deposit.
The third and fourth paragraphs of your report should address the results of your calculations of total savings based on monthly deposits of $120 or $1080. Explain what the respective totals will be in 18 years, discuss whether or not those totals will completely cover college costs for four years of education at public and/or private universities. If you find that there is more than enough money to pay both children’s tuitions and fees for four years, you may wish to help the Jeffersons think about other college expenses they should also be planning for, such as room and board, textbooks, and other spending money.
Your report should have a closing paragraph in which you summarize your advice and again emphasize the importance of financial planning for college expenses.
Table I: Average Earnings of Year-Round Full-Time Workers by Gender and Education Attainment in the U.S., 2004
Gender Less than 9th grade Some high school High school graduate Some college Associate degree Bachelor’s degree or more
Males $25,169 $29,768 $39,117 $47,160 $48,724 $83,819
Females $18,988 $21,025 $28,537 $32,280 $36,472 $54,078
Table II: Tuition and fees at Private and Public 4-Year Colleges, 1976-2006
Year Private Public
1976-77 $2,272 $433
1980-81 3,617 804
1985-86 6,121 1,318
1990-91 9,340 1,908
1991-92 9,812 2,107
1992-93 10,448 2,334
1993-94 11,007 2,535
1994-95 11,719 2,705
1995-96 12,216 2,811
1996-97 12,994 2,975
1997-98 13,785 3,111
1998-99 14,709 3,247
1999-2000 15,518 3,362
2000-01 16,233 3,487
2001-02 17.272 3,725
2002-03 18,273 4,081
2003-04 19,710 4,694
2004-05 20,082 5,132
2005-06 21,235 5,491
PLEASE HELP WHERE TO BEGIN?????
Click here to see answer by bigbaby(1) |
Question 373121: I am not sure how to go about this word problem so can you please help me solve this problem. I am getting overwhelmed!
John wants to fence a 150 square meters rectangular field. He wants the length and width to be natural numbers {1,2,3,...}. What field dimensions will require the least amount of fencing? Show work.
Thank you so much!
Jessica
Click here to see answer by nerdybill(7384)  |
Question 373144: Two paper hangers work at different rates. The first worker can wallpaper a wall in 2 hours. The second takes 3 hours to wallpaper the same wall. How long would it take the two workers working together to paper the wall?
Click here to see answer by CharlesG2(834) |
Question 373372: A runner starts at the beginning of a path and runs at a constant rate of 8 mi/hr. Five minutes later a second runner begins at the same point, running at a rate of 10 mi/hr. How long will it take the second runner to reach the first?
Click here to see answer by robertb(5830)  |
Question 373526: Hello, I require some insight on this problem to see if I set it up correctly.
The word problem states: Between the bicycles and tricycles in the bike shop, there was a total of 176 wheels, an 152 pedals. How many tricycles and bicycles were in the shop? Include a write up a system of equations in matrix.
I came up with this:
2x+3y=176
2x+2y=152
where x = bicycles
and y= tricycles
Click here to see answer by RicaMath(8) |
Question 373567: Two surveyors with two-way radios leave the same point at 9:00 AM, one walking due south at 2 mi/hr and the other due west at 4 mi/hr. How long can they communicate with one another if each radio has a maximum range of 2.24 miles?
Click here to see answer by mananth(16946) |
Question 373762: The circular surface of a table has a diameter of 4 ft. What will cost to have the top refinished if the company charges $5 per square foot for the refinishing? Use 3.14 for and round your answer to the nearest cent. Show all the work and write the answer in a complete sentence.
Click here to see answer by checkley77(12844) |
Question 373552: 1. thirteen more than four times a number is -91. find the number
2. the total cost of a suit and a coat is $291. the cost of the coat is twice as much as the suit, how much does the coat cost?
3. steave hit 4 more runs than twice the number of runs larry hit. together they hit 10 runs. how many runs did steave hit?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 373857: An airline leaves Phoenix traveling at an average rate of 420 mph. Thirty minutes later, a second airliner leaves phoenix traveling along a parallel route. If the second plane overtakes the first at a point 1680 miles from phoenix, find its rate. The difference in times is 30 min.
Click here to see answer by josmiceli(19441)  |
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