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# Basic Algebra

### What operations can you associate with coefficients?

What operations can you associate with coefficients?What operations can you associate with exponents?

### graphing, logarithms, etc.

1). Without using a graph utility, sketch the graph of f(x) =3^x-5 2) A certain population grows according to the equation Y=40e^0.025t. Find the initial population (to the nearest integer) when t=50. 3) Write in exponential from: logb 37=2. 4) Write as sum, difference, or multiple of logarithms: in 5x/3â??X^2+1

### Algebra word problems

Problem 13. A discount store sold plastic cups for \$3.50 each and ceramic cups for \$4 each. If 400 cups were sold for a total of \$1,458, how many cups of each type were sold? What was the dollar value of each type of cup sold? Problem 15. Lashonna Harris is a buyer for Plough. She can purchase 100 pounds of chemicals for \$9

### Please refer to the attachment to view all the questions. Problem 13. A discount store sold plastic cups for \$3.50 each and ceramic cups for \$4 each. If 400 cups were sold for a total of \$1,458, how many cups of each type were sold? What was the dollar value of each type of cup sold? Problem 15. Lashonna Harris is a buyer for Plough. She can purchase 100 pounds of chemicals for \$97. At this same rate, how much would 2,000 pounds of chemical cost? Problem 5. Last week at a festival, a man sold 3 times as many tie-dyed T-shirts as silk-screened shirts. He sold 200 shirts altogether. How many tie-dyed shirts did he sell? Problem 6. A man ordered 4 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ball point pens cost \$4.44 per box, and felt-tip pens cost \$3.41. If the man's order of pens totaled \$63.51, how many boxes of each type of pens did he buy? How many boxes of felt-tip pens did he buy? Problem 9. A company purchased \$10,000 pair of men slacks for \$18.76 per pair and marked them up \$22.33. What was the selling price of each pair of slacks? Use the formula S=C+M. Problem 10. A company sold bird feeder for \$72.27 and had marked them up \$36.92. What was the cost of the feeders? Use the formula S=C+M.

Please refer to the attachment to view all the questions. Problem 13. A discount store sold plastic cups for \$3.50 each and ceramic cups for \$4 each. If 400 cups were sold for a total of \$1,458, how many cups of each type were sold? What was the dollar value of each type of cup sold? Problem 15. Lashonna Harris is a buye

### Algebra Word Problems for Fun

1. Jake is making tea. He has brewed 13 cups of tea and begins to sweeten it with sugar. What represents the ratio of sugar to total tea if Jake adds x cups of sugar? 2. Ken is preparing a solution of weed killer for his garden. He pours 3 quarts of water into the sprayer. He needs to add concentrated weed killer to the water. W

### Algebra problems like dimensions of rectangle

#1 The perimeter of a rectangle is 144m. The length is 6m more than twice the width. Find the dimensions. #2 Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 61 points. They won 11 more games than they tied. How many wins and how many ties did they have? #3 T

### College Mathematics - Truth Tables, Logic, and Geometry

College math problems including logical connective, truth tables, and algebra. [See attachment] --------------------------------------------------------------- 1. Write the negation of the statement: No one likes asparagus. 2. Determine the truth value of the statement 3. Determine whether the argument is valid o

### Exponential growth and decay atmospheric pressure

If the temperature is constant then the atmospheric pressure P (in pounds/square inch) varies with the altitude above sea level h in accordance with the law P=Poe^-kh where Po is the atmospheric pressure at sea level and k is a constant. If the atmospheric pressure is 15 lb/in^2 at sea level and 12.5lb/in^2 at 4000 ft, fin

### Trigonometry - interest rates and logarithms (Please see the attached document).

1. Approximately how long will it take \$1,000 to grow to \$5,006 at 8% annual interest and compounded 12 times per year? 2. Solve for x in the following equation: 3. Solve the following equation for the value of x: 4. Find the value of x in the following equation: 5. What is the value of x in the following equation

### Sales Representative Quota for Time-Sharing Company

1. A sales representative for a time-sharing company has a monthly sales quota of 500 units. The representative sold 120 units during the first week, 135 units during the second week, and 165 units during the third week of the month. How many units must be sold before the end of the month if the salesperson is to meet the quota?

### Currency Exchange Rates

Please see attachment. Thanks! --------------------------- 1. Based on the currency exchange rates for April 16, 2008, find the amount of each local currency: (a) \$50 = _____ Canadian dollars 200 Canadian dollars = _____ US dollars (b) \$50 = _____ Cayman Island dollars 200 Cayman Is

### Library Research Assignment

Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , (H = p*a^t) where p is the number of new homes built in the first yea

### Taylors are considering refinancing the loan on their home

They currently have a 30 yr loan with an 8% annual interest rate. the original loan was for \$250,000 but over three years the Taylors have reduced the loan balance to \$243,200. A local bank ha offeref them a 15 yr loan with a 6.5% annual interest rate. the bank will charge a 1% fee of \$2,432 (0.01x\$243,200=\$2,432) to prepare

### Choosing between assets

A wealthy Uncle has offered to give you either of assets: (a) an asset that pays \$500 at the end of three years or (b) an asset that pays \$100 at the end of each year for five years. Assume that both assets earn a 7% annual rate of return. Which asset should you choose?

### Example buisness would require a break-even or equilibrium point

Linear equations and linear inequalities are very predominant in business, such as finding break-even and equilibrium points. I need a real-world example of where a business would have a need to find a break-even or equilibrium point. Then discuss the differences if the information was given as an inequality versus an equati

94. Sharing cost. The members of a flying club plan to share equally the cost of a \$200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by \$2000. How many members are currently in the club? 84. Gone fishing. Debbie traveled by boat 5 miles upstream to fish i

Find all real or imaginary solutions to each equation. Use the method of your choice: 1. w^2 = -225 2. 3y^2 + 4v -1 = 0 3. sqrt(7)x + 29 = x + 3 Solve each equation by using the quadratic formula: 4. x ^2 + 4x + 3 = 0 5. - 8 q^2 - 2q + 1 = 0 6. -3x^2 - 2x - 5 = 0 Find the discriminant b^2-4ac and the n

### factor, simplify and multiply

1. Factor: 48-16v+v^2 2. Simplify: 3 sq. rt -1/25 3. Simplify by factoring: sq rt 32a^2b 4. Multiply: (b+1/2)(b+1/4) 5. For the following equation, state the value of the discriminant and then describe the nature of the solution. 16x^2+5x+2=0 6. Factor completely: 144a^2+648ag+729g^2 7. Factor co

Question #1/25 Simplify SQRT (125/45) Be sure to write your answer in lowest terms. Question #2/25 Rewrite the following in simplified radical form. SQRT (54) Question #3/25 Rewrite the following in simplified radical form. SQRT (75x^6) Assume that all variables represent positive real numbers. Que

### Square Root and Pythagorean Theorem Problems

102. (-2x - 8)/(x^2 + 2x - 8) 20. (-7yt)/3x = ?/18xyt 66. 4/(x - y), 5x/(2y - 2x) 12. - sqrt(25) 26. sqrt(y^36) 36. sqrt(16n) 64. sqrt(12x^8) 84. The third root of (-27y^36 / 1000) 22. (-16)^1/4 38. 25^(-3/2) 104. (-27x^9)^1/3 6. sqrt(5) - s(sqrt(5)) 36. (3sqrt(2))(-4(sqrt(10)) 88. sqrt(2t^

### Algebra for College Students

1. An icecream store sells two drinks (sodas or milk shakes) in four sizes (small, medium, large or jumbo) and five flavors (vanilla, strawberry, chocolate, coffee or pistachio). In how many ways can a customer order a drink? 2. A club with tem members is to choose three officers - president, vice-president and secretary trea

### Word Problem

While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square

### Algebra: Simplification and Identification

1.Multiply. Write your answer in lowest terms. 2. Multiply and simplify: 3. Divide. Write your answer in lowest terms. 4. Simplify. Question #5/19 Simplify as much as possible . 6. Subtract. Write your answer in lowest terms. Question #7/19 Express as a single fraction in lowest terms: Question #8/19 Sub

### Show relational algebra expressions for given requirements.

Show relational algebra expressions for: a. The names of all salespeople. b. The names of all salespeople having an ORDER row. c. The names of salespeople not having an ORDER row. d. The names of salespeople having an order with Abernathy Construction. e. The salaries of salespeople having an order with Abernathy Constru

### Logarithm

The half-life of the adioactive element Krypton-91 is 10 seconds. If 16 grams of Krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? 30 seconds? 40 seconds? 50 seconds? Use the exponential growth model A = A0e^(kt) to show that the time it takes a population to double (to grow fom

### Using the Master Theorem

This problem stems from the Master Theorem. I have a sample problem with a solution but it does not show me the steps to reduce the problem algebraically and I don't see how they got to the solution. The problem is: T(n) = 6T(n/5) + n^2 -8n + 3 Using the Master Theorem this problem falls under case 3 in which we have to

### Facial feedback hypothesis

Discuss the facial feedback hypothesis, particularly the event-appraisal-emotion sequence

### Company's Balance Sheet - Retained Earnings

A company's balance sheet for 1999 showed a balance of retained earnings of 510 million. On the 2000 balance sheet the balance showed retained earnings of 510 million. Why is the balance the same and what calculation do you use to show why?