# algebra1 - (a) (10 pts) . Find the cost and revenue...

This preview shows pages 1–4. Sign up to view the full content.

MATH 205 EXAM 1 Thursday June 14, 2007 Instructor’s Name: Name: Calculators are permitted (in fact, you might ﬁnd calculators necessary), but no books or formula sheets are allowed. Use the back pages as sketch paper. For full credit, show your work in detail. If you use a calculator at some step, you should state that you are doing so. Total: 100 #1 #2 #3 #4 #5 #6 #7 #8 1 (12 pts). A deposit of \$40,000 is made into an account paying a ﬁxed nominal yearly interest rate of 5%. Assuming that no further deposits or withdrawals are made, determine the amount in the account (to the nearest penny) in 10 years if the interest is compounded: (a) (6 pts) . Annually (b) (6 pts) . Monthly 2 (12 pts). Find the average rate of change of f ( x ) = 2 x 2 between x = 1 and x = 4. 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
page 2 3 (12pts). Solve for x using natural logarithms: (a) (6 pts) . 5 x = 7 (b) (6 pts) . e 4 x = 100 4 (15 pts). A movie theater has ﬁxed costs of \$5,000 per day and variable costs averaging \$2 per customer. The theater charges \$7 per ticket.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (a) (10 pts) . Find the cost and revenue functions and sketch a graph of them on the same axis. (b) (5 pts) . How many customers per day does the theater need in order to make a proﬁt? 2 page 3 5. (12pts) . Find the slope-intercept form of the equation for the line passing through the points (-2 , 1) and (2 , 3). 6 (13 pts). A product costs \$100 today. How much will the product cost in t days if the price is reduced by: (a) (6 pts) . \$5 a day (b) (7 pts) . 5% a day 3 page 4 7 (12pts). Find the doubling time of a quantity that is increasing by 9% per year (round your answer to the nearest whole year). 8 (12pts) . Determine whether or not the function is a power function. If it is a power function write it in the form y = kx p and give the values of k and p . (a. 4pts) . y = 5 √ x (b. 4pts). y = 3 x 2 + 4 (c. 4pts). y = 3 · 5 x 4...
View Full Document

## algebra1 - (a) (10 pts) . Find the cost and revenue...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online