Write a short letter requesting information on one of the following topics. Be sure to use proper business-letter format. information on a local service program you’d like to join, information on the different guitar models a company sells, information on how to obtain tickets to a sporting event, information on which breeds of dogs would make appropriate pets for your family.

Give a geometrical explanation of how Euler's method works.

Devise a synthesis of 1-methylcyclohexene oxide from methylcyclohexane. You may use any other required organic or inorganic reagents.

A businesswoman wants to determine the difference between the costs of owning and leasing an automobile. She can lease a car for $420 per month (on an annual basis). Under this plan, the cost per mile (gas and oil) is$0.06. If she were to purchase the car, the fixed annual expense would be $4700, and other costs would amount to$0.08 per mile. What is the least number of miles she would have to drive per year to make leasing no more expensive than purchasing?

Find x rounded to three decimal places. $\log 7-\log (x-1)=\log 4$

Tell whether the statement is true or false. If the statement is false, give a counterexample. The square root of an even perfect square is always an even number.

Find, if possible, the slope and y-intercept of the straight line determined by the equation, and sketch the graph. $y-7=3(x-4)$

Tell whether the expression is rational or irrational.

$$-\sqrt{0.04}$$

You observe the heights of two plants for an experiment. Plant A has a height of 8 centimeters and grows 1 centimeter each week. Plant B has a height of 4 centimeters and grows 2 centimeters each week. a. Write a system of linear equations that represents this situation. b. Will the plants ever have the same height? If so, what is the height?

Suppose you take 200 mg of an antibiotic every 6 hr. The half-life of the drug (the time it takes for half of the drug to be eliminated from your blood) is 6 hr. Use infinite series to find the long-term (steady-state) amount of antibiotic in your blood. You may assume the steady-state amount is finite.

Find the product.

$$(a+5)\left(2 a^{2}-a+4\right)$$

Write a definition for each italicized word using context clues, word roots, or a combination of the two. Use a dictionary if necessary. The program was specifically designed for $\mathit{octogenarians}$, or people in their eighties.

Suppose consumers will purchase q units of a product at a price of $\frac {200}{q}+3$ dollars per unit. What is the minimum number of units that must be sold in order that sales revenue be greater than $9000?

Find the misspelled word in each sentence. Rewrite the word correctly in the blank. Use a dictionary if necessary. _____ The Declaration of Independence expresses the beleifs of many Americans.