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Fractions and Percentages

Percentage

Given a sales tax rate and the final price paid, how do I determine how much of the final price was the tax? For example, if I spent $15.83, how much of that was the sales tax whose rate is 8%?

Interpret the Data Given - Women in the Army

Given the information below (and attached), please determine: Are women being denied the opportunity to join the Army because they are too short or too tall? If the required women's height for the Army is between 58 and 80 inches. The Mean = 63.3, and the SD = 2.5 What percentage of women meet that height requirement?

Key Financial Ratios that Measure Stability of a Company: How investors assess the stability of a public company? What are the key financial ratios that measure the stability of an organization? Define stability. Calculate these ratios per the attached file using Excel spreadsheet.

How investors assess the stability of a public company? What are the key financial ratios that measure the stability of an organization? Define stability. Calculate these ratios per the attached file using Excel spreadsheet. File attached for a analysis of financial ratios for the company. Balance Sheet as of December

Solution Concentrations : Percentages and Amount of Concentrate Needed

I am doing an embalming course and need to work out percentages , e.g of question. A container will hold 1 ltr, you will need the following solutions for different purposes, how much concentrate will you need in each case. 2% solution 1 in 20 solution 4 in 50 solution a 5.5 solution 1 in 3.5 solution. Can you show m

Percentages

If 40% of members of a club play tennis and there are 20 tennis players, how many club members are there?

Prove that positive real numbers correspond bijectively.

Please see the attached file for the fully formatted problems. Here is the problem: Prove that positive real numbers correspond bijectively to decimal expansions not terminating in an infinite string of 9's as follows. The decimal expansion of is where N is the largest integer smaller than is the largest integer is th

Ratios

If there are 74 nests containing 11 eggs each and 9 nests containing 14 eggs each what would be the ratio of this expressed in the form of 1:x, where x is the number expressed to one decimal place. I know the basics : 9:74 but not sure what to do after that.

Partial Fractions

What are tha partial fraction decompositions: See attachment for details What are the values of: See attachment for details (residual calculation, results and values) Please see the attachment for full questions and details

Find the interest

Find the interest earned at the end of the first year on 8,400.00 invested at 4% interest

Percent Body Fat

The formula used to calculate the percentage of body fat for men is %body fat = (-98.42+4.15w-0.082b)/b where w is the waist measurement in inches and "b" is the total body weight in pounds. What is the body fat for a man weighing 156 pounds and waist measurement 32 inches. Round to the nearest integer.

COLA Adjustment effect on Salary

Alan's annual salary is $20,040. Next month he will receive a 5.5% cost of living adjustment and a 4% merit increase. What will be his new annual salary? a.$22,338 b.$21,943.80 c.$23,263.00 d.$21,22.00 e.not given

Finance : Percentages

A technician checked a sample of a 160 portable radios. She found 7 of the radios defective. If more than 5% of the sample is defective, the process is out of control. What is the exact percent of the sample that is defective? a.4% b.3.98% c.5.76% d.4.23% e.not given

Mathematical Modelling

Please see the attached file for the fully formatted problems. A long, thin rod is clamped at its lower end and a mass M is attached to its upper end. The coordinates (x,y) of any point on it satisfy the equation. where E, I and a are constants. Given that x = 0 when y = 0 and x = a when y = L show that where H

Terminating and Repeating Decimals

State whether each of the following fractions is a terminating or repeating decimal. If the decimal terminates, state the number of decimal places and show how you decided. If the decimal repeats, write the decimal representation of the fraction. A. 12/13 B. 6/ 2^2 x 5^7 x 3 (there are no brackets in this questions and th

Word Problems : Percentages

A. In five years the price of a house in Vancouver is expected to be about 164% of today's price. If the trend continues, what percent of today's price would you expect the price of a house to be in 15 years? B. The sum of two numbers is 24. One number is increased by 50% while the other is decreased by 50%. The sum of the tw

Order repeating decimals

Determine whether the following are equal. If not, which is smaller, and why? _ 0.2525 (the line should be over the last 25) _ 0.2525 (the line should be over the entire 2525)

Reciprocals

5/8, 3/16, 7/5, 9/10. Find the reciprocals of the given numbers and order them from smallest to largest. What do you observe about the order.

A binary relation is defined on the set R of all real numbers. The problem is to prove that that binary relation is indeed an equivalence relation, and that there is a (well-defined) bijection between the set of equivalence classes and the set {x: x is a real number and 0 <= x < 1}.

Show that == (where == is the equivalence relation defined below) is an equivalence on A, and find a (well-defined) bijection %: A== -> B, where (a) A = R (the set of all real numbers) (b) B={x: x is an element of R and 0 <= x < 1} (c) for real numbers x and y, "x==y" (x is equivalent to y) if and only if x - y is an e

Subtraction of Fractions

From central parking it is 9/10 of a mile to the science building. Bob started at central parking and walked 1/5 of a mile toward the science building. He stopped for coffee. When he finished how much farther did he have to walk to reach the science building?

Area Calculation

A hallway measures 8 1/6 yards by 5 1/7 yards. How many square yards is the area of the hallway?