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Fractions and Percentages

Exchange Rates in Other Quotation Format

You have the following exchange rates available: FF 5.8860 per US $ GM 1.7558 per US$ US$ 1.6327 per British Pound(BP) a) Determine the above rates in other quotation format (i.e. if above rates are quoted indirectly,calculate direct quotation,and vice versa) Please provide your answer in proper manner ( i.e. XX per YY).

Reduction of Mail Float: Net Savings

Pronet has annual sales of $724 million from its 600 retail stores. Pronet can reduce its mail float by 2 days through the use of wire transfers. The annual cost of the wire transfers is expected to be $105,610. If Pronet's cost of short-term funds is 9.75 percent, should the change to wire transfers be made? Assuming 365 days p

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

Simple ratio problem

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.

Percents Example Problem

You take a job that pays $25,000 annually. (a) How much do you earn n years from now if you receive a three percent raise each year? (b) How much do you earn n years from now if you receive a five percent raise each year? (c) How much do you earn n years from now if each year you receive a raise of $1000 plus two percen

Partial Fractions Decomposition

What are the 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 : Percentage Samples

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 Constant Equations

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

Fractions

State whether each of the following fraction 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. 12/32 b. 6/2^2 x 5^7 x 3 ^meaning exponent!

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 of given numbers

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.

Equivalence Relation on the set R of all Real Numbers

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