Cost Formula Word Problem
The cost formula for a manufacturer’s product is C = 5000 + 2 x , where C is the cost (in dollars) and x is the number of units manufactured. (a) If no units are produced, what is the cost?
(b) If the manufacturer produces 3000 units, what is the cost? (c) If the manufacturer has spent $16,000 on production, how many units were manufactured? Answer these questions by substituting the numbers into the formula. (a) If no units are produced, then x = 0, and C = 5000 + 2 x becomes C = 5000 + 2(0) = 5000. The cost is $5,000. (b) If the manufacturer produces 3000 units, then x = 3000, and C = 5000 + 2 x becomes C = 5000 + 2(3000) = 5000 + 6000 = 11,000. The manufacturer’s cost would be $11,000. (c) The manufacturer’s cost is $16,000, so C = 16,000. Substitute C = 16,000 into C = 5000 + 2 xto get 16,000 = 5000 + 2 x .

There were 5500 units produced.
Profit Formula Word Problem
The profit formula for a manufacturer’s product is P = 2 x – 4000 where x is the number of units sold and P is the profit (in dollars). (a) What is the profit when 12,000 units were sold?
(b) What is the loss when 1500 units were sold?
(c) How many units must be sold for the manufacturer to have a profit of $3000? (d) How many units must be sold for the manufacturer to break even? (This question could have been phrased, “How many units must be sold in order for the manufacturer to cover its costs?”) (a) If 12,000 units are sold, then x = 12,000. The profit equation then becomes P = 2(12,000) – 4000 = 24,000 – 4000 = 20,000. The profit is $20,000. (b) Think of a loss as a negative profit. When 1500 units are sold, P = 2 x – 4000 becomes P = 2(1500) – 4000 = 3000 – 4000 = – 1000. The manufacturer loses $1000 when 1500 units are sold. (c) If the profit is $3000, then P = 3000; P = 2 x – 4000 becomes 3000 = 2 x – 4000.

A total of 3500 units were sold.
(d) The break-even point occurs when the profit is zero, that is when P = 0. Then P = 2 x – 4000 becomes 0 =...

...compounded quarterly, find the present value of P5,500 for 10years and 9 months.
-Deferred Ordinary Annuity
*Find the present value of a deferred annuity of P1,050 a year for 8 years that is deferred 2 years, If money is worth 7% effective.
-Problem on Amortization
*Arlette owes P10,000 with interest at 12% compounded semi-annually for three years. Find her periodic payment payable semi-annually and construct the amortization table.
-Sinking Fund
*Paula borrowed...

...The problems of definition of a word
Nobody doubts that word is a basic unit of lexicology, alongside with morphemes and phraseological units. Each word is a small unit within a vast, efficient and well-balanced system. It is immediately understood by every native speaker. A word is a dialectical unity of form and content.
The definition of the word is one of the most difficult in linguistics because the...

...OBLIQUE TRIANGLES
Case I. AAS – Angle/Angle/Side
-Given: One Side & Two Angles
-Side which is an opposite of one of the angle.
Problem: Points A and B are 42.75 yards apart on one side of a river and point C across the river with angle A = 75°13’ and angle B = 42°34’. Find the length of point C and its angle.
Solution:
Given: a = 42.75yards b = c =
α = 75°13’ β = 42°34’ У =...

..."Age" WordProblems (page 1 of 2)
In January of the year 2000, I was one more than eleven times as old as my son William. In January of 2009, I was seven more than three times as old as him. How old was my son in January of 2000?
Obviously, in "real life" you'd have walked up to my kid and and asked him how old he was, and he'd have proudly held up three grubby fingers, but that won't help you on your homework. Here's how you'd figure out his age for class:...

...Examples of Age wordproblems :
1. Six years ago Jun was 4 times as old as Joan.In four years, he would be twice as old as Joan. How old are they now?
6 years ago
joan x
jun 4x
..
after 4 years
joan x+10
Jun 4x+10
4x+10=2(x+10)
4x+10=2x+20
4x-2x=20-10
2x=10
x=5 joan 6 years ago. Now age = 11
Jun 4x, = 20, 6 years ago. Now age =26 years now
2. At present, Pedro's age is 25percent of his father's age.Twenty years from now Pedro's age would be...

...Kuta Software - Infinite Algebra 1
Name___________________________________
Systems of Equations WordProblems
Date________________ Period____
1) Find the value of two numbers if their sum is 12 and their difference is 4.
2) The difference of two numbers is 3. Their sum is 13. Find the numbers.
3) Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only
averaged 112 km/h while flying back into the same wind. Find the speed...

...V=30 000/(0.40-0.16)=125 000
3. If Evergreen Fertilizer Company in Problem 2 changes the price of its fertilizer from $0.40 per pound to $0.60 per pound, what effect will the change have on the break-even volume?
V=30 000/(0.60-0.16)=68181.82 change with 56818.18
4. If Evergreen Fertilizer Company increases its advertising expenditures by $14,000 per year, what effect will the increase have on the break-even volume computed in Problem 2?
48 000/0.24=200 000,...

...Concussion conundrum
Read and write a review of the following article.
http://www.afl.com.au/tabid/208/default.aspx?newsid=140857
ADELAIDE admits it doesn't know what it would do in a Grand Final if it was down to 17 fit players and a player with suspected concussion wanted to go back onto the ground.
Crows football operations manager Phil Harper told SEN radio on Monday morning Adelaide's coaching staff had briefly considered that very dilemma during Saturday night's Showdown when...

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