Tutors Answer Your Questions about Finance (FREE)
Question 1153519:
A spherical weather balloon needs to hold at least 112
cubic feet of helium to be buoyant enough to lift the meteorological instruments.
Will a helium filled balloon with a diameter of 6 feet stay aloft?
Click here to see answer by Theo(13342)   |
Question 1153518:
Mr. Shen wished to enter the Orange Kite Competition with an innovative kite of his own design. He did tests that showed an irregular quadrilateral design was best. The longest side (A) was twice the length of the shortest side (C). Side B was one and one-half times the shortest side (C). Side D needed to be 3
"
left parenthesis 3 inches right parenthesis
longer than side C. If the competition required that the perimeter of your kite must be 69
",
what were the dimensions of Mr. Shen's kite?
An irregular quadrilateral with sides labeled A, B, C, and D.
Length of side A
equals
Click here to see answer by MathLover1(20849)  |
Question 1153410: Mr. Shen wished to enter the Orange Kite Competition with an innovative kite of his own design. He did tests that showed an irregular quadrilateral design was best.
The longest side (A) was twice the length of the shortest side (C). Side B was one and one-half times the shortest side (C). Side D needed to be 3
longer than side C. If the competition required that the perimeter of your kite must be 69",
what were the dimensions of Mr. Shen's kite?
Click here to see answer by MathLover1(20849) |
Question 1153557: Mark and Rachel both work for Smith Landscaping Co. Mark can finish a planting job in 2 hours, while Rachel takes 3 hours to finish the same job. If Mark and Rachel work together on the job, how long will it take them to finish. Round to the nearest minute if necessary.
Click here to see answer by VFBundy(438)  |
Question 1153556: Several friends decided to equally share the $525 cost of the set of cookware for a wedding gift. However, before the wedding, 6 more friends joined the others in giving the couple the cookwares. This lowered the contribution of each person by $10. How many friends originally agreed to share of the cost of the cookware?
Click here to see answer by math_helper(2461)  |
Question 1153556: Several friends decided to equally share the $525 cost of the set of cookware for a wedding gift. However, before the wedding, 6 more friends joined the others in giving the couple the cookwares. This lowered the contribution of each person by $10. How many friends originally agreed to share of the cost of the cookware?
Click here to see answer by Theo(13342) |
Question 1153556: Several friends decided to equally share the $525 cost of the set of cookware for a wedding gift. However, before the wedding, 6 more friends joined the others in giving the couple the cookwares. This lowered the contribution of each person by $10. How many friends originally agreed to share of the cost of the cookware?
Click here to see answer by VFBundy(438) |
Question 1153555: Working together, Jenny and Natalie can mop a warehouse in 5 hours. Had she done it alone it would have taken Natalie 12 hours. How long would it take Jenny to do it alone? Express your answer in hours and minutes to the nearest minute.
Click here to see answer by Alan3354(69443)  |
Question 1153642: The angle of elevation of the top of a flag post from a point A on level ground is 13 degrees.The angle of elevation of elevation of the top of the flag post from another point B nearer the flag post and 120 m from A is 30 degrees. B is between A and the bottom of the flag post and the three points are collinear. Find:
( a)the distance from the point B to the top of the flag post.
(b)the height of the flag post.
Click here to see answer by Cromlix(4381)  |
Question 1153705: Based on data from the College board SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325.
a. What percentage of SAT scores are less than 1500?
b. What percentage of SAT scores are greater than 2000?
c. A certain US college is only willing to accept applications from students who score within 2.5 standard deviations from the mean score. What range of SAT scores will be accepted for application?
Click here to see answer by Boreal(15235)  |
Question 1153384: A piece of charcoal is found to contain 39% of the element B that it originally had.
(a) When did the tree from which the charcoal came die? Use 5600 years as the half-life of the element B.
(b) Using a graphing utility, graph the relation between the percentage of the element B remaining and time.
(c) Using INTERSECT, determine the time that elapses until half of the the element B remains.
(d) Verify the answer found in part (a).
Click here to see answer by josgarithmetic(39617) |
Question 1153736: In 1986, 523,000 people worked in the air transportation industry. In 2002, the number was 485,000.
(a) Find a linear equation giving the number of employees in the air transportation industry in terms of x, the number of years since 1986.
(b) Assuming the equation remains valid in the future, in what year will there be 430,000 employees of the air transportation industry?
Click here to see answer by MathLover1(20849) |
Question 1153736: In 1986, 523,000 people worked in the air transportation industry. In 2002, the number was 485,000.
(a) Find a linear equation giving the number of employees in the air transportation industry in terms of x, the number of years since 1986.
(b) Assuming the equation remains valid in the future, in what year will there be 430,000 employees of the air transportation industry?
Click here to see answer by MathTherapy(10552)  |
Question 1153735: In a certain country, total alcoholic beverage sales are reported throughout the year. Sales were reported as $115.1 billion at the beginning of 2005 and $130.8 billion at the beginning of 2007.
(a) Let the x-axis denote time and the y-axis denote the amount of alcohol sales (in billions). Let x=0 correspond to 2005. Fill in the blanks: The given data is represented by the points (____,115.1) and (2,____).
(b) Find the linear equation determined by the two points in part (a)
(c) Use the equation in part (b) to estimate the alcohol sales produced in 2006.
(d) If the model remains accurate, in what year will reported alcohol sales reach $170 billion?
Click here to see answer by josgarithmetic(39617) |
Question 1153733: The number of retail drug prescriptions (in millions) can be approximated by
y=85.94x+2918.45
where x=0 corresponds to the year 2000. Find the approximate number of prescriptions in the following years.
(a) 2008
(b) 2009
(c) Assuming that this model remains accurate, in what year will the number of prescriptions be 5,750,000,000?
Click here to see answer by josgarithmetic(39617) |
Question 1153733: The number of retail drug prescriptions (in millions) can be approximated by
y=85.94x+2918.45
where x=0 corresponds to the year 2000. Find the approximate number of prescriptions in the following years.
(a) 2008
(b) 2009
(c) Assuming that this model remains accurate, in what year will the number of prescriptions be 5,750,000,000?
Click here to see answer by MathLover1(20849) |
Question 1153734: Total box-office receipts (in millions of dollars) declined from 2005 to 2009. The receipts in year x can be approximated by
y= -61.90x+9887.7
Where x=5 corresponds to 2005. Assume this equation remains valid through 2015.
(a) Estimate the box office receipts in 2009
(b) In what year will the box office receipts be $9 billion?
Click here to see answer by josgarithmetic(39617) |
Question 1153732: The lost value of equipment over a period of time is called depreciation. The simplest method for calculating depreciation is straight-line depreciation. The annual straight-line depreciation D of an item that costs x dollars with a useful life of n years is D=(1/n)x. Find the depreciation for items with the given characteristics.
Cost is $15,965; life is 11yr.
The annual straight line depreciation is approximately $____ per year
Click here to see answer by ikleyn(52781)  |
Question 1153850: Devon purchased tickets to an air show for 5 adults and 2 children. The total cost for Devon was $128. Peter purchased tickets to same air show for 3 adults and 4 children. Peter's total cost was $116. Find the price of an adult's ticket and a child's ticket. Use a system of linear equations.
Click here to see answer by greenestamps(13200)  |
Question 1153851: Tim Martinez is involved in a large construction project in the city. He needs to rend a heavy construction crane for several weeks. He is considering renting from one of two companies. Boston Construction will rent a crane for an initial delivery charge of $1500 and a rental fee of $900 per week. North End Constructors will rent a crane for an initial delivery charge of $500 and a rental fee of $1000 per week. How many weeks would be required for the two companies to charge the same? What would the cost be for each company?
Click here to see answer by josgarithmetic(39617) |
Question 1153852: Allan is analyzing the cost of producing two different products at a Manufacturer. Product #1 uses 5 grams of copper and requires 3 hours to assemble. The total production cost of product #1 is $27. Product #2 uses 4 grams of copper but requires 5 hours to assemble. The total production cost of product #2 is $32. How much does it cost the company for a gram of this type of copper? What is the hourly labour cost at this company? (Assume that the production cost is obtained by adding the copper cost and the labour cost)
Click here to see answer by josgarithmetic(39617) |
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