
Concept explainers
E. Calculator Problems
You probably own a calculator and, of course, you are eager to put it to work doing practical math calculations. In this text we include problem sets for calculator users. These problems are taken from real-life situations and, unlike most textbook problems, involve big numbers and lots of calculations. If you think that having an electronic brain-in-a-box means that you do not need to know basic arithmetic, you will be disappointed. The calculator helps you to work faster, but it will not tell you what to do or how to do it.
Detailed instructions on using a calculator with whole numbers appears on page 68.
Here are a few helpful hints for calculator users:
- 1. Always estimate your answer before doing a calculation.
- 2. Check your answer by comparing it with the estimate or by the other methods shown in this text. Be certain that your answer makes sense.
- 3. If you doubt the calculator (they do break down, you know), put a problem in it whose answer you know, preferably a problem like the one you are solving.
Manufacturing The following table lists the number of widget fasteners made by each of the five machines at the Ace Widget Co. during the last ten working days.
- (a) Complete the table by finding the number of fasteners produced each day. Enter these totals under the column “Daily Totals” on the right.
- (b) Find the number of fasteners produced by each machine during the ten-day period and enter these totals along the bottom row marked “Machine Totals.”
- (c) Does the sum of the daily totals equal the sum of the machine totals?

Want to see the full answer?
Check out a sample textbook solution
Chapter 1 Solutions
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
- Solve the problemarrow_forwardPerform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral. 30x³-60x²+8 dx 2 x-2x After performing the long division, write the resulting proper fraction as a sum of partial fractions. Evaluate the integral. 30x³-60x²+8 2 x² -2x dx=arrow_forwardEvaluate the following integral. x/6 S tan 2x dx x/12arrow_forward
- Evaluate the integral using any appropriate algebraic method or trigonometric identity. S- dy 18 √2 (1+y2/3) yarrow_forwardiid B1 Suppose X1, ..., Xn fx(x), where 2 fx(x) = x exp(−x²/0), 0<< (0 otherwise). (a) Find the maximum likelihood estimator of 0. (b) Show that the MLE is an unbiased estimator of 0. (c) Find the MSE of the MLE. Hint: For parts (b) and (c), you may use integration by parts.arrow_forward4. Suppose the demand for a certain item is given by D(p)=-2 p² - 4p+350, where p represents the price of the item in dollars. a) Find the rate of change of demand with respect to price. b) Find and interpret the rate of change of demand when the price is $11.arrow_forward
- √3-x, x≤3, 2. For f(x) = 1 find each of the following. x > 3, x-3' 1. f(-6) 2. f(3) 3. f(7) 3. Find the domain of each of the following functions.arrow_forward1. Using the definition of the derivative, find f'(x). Then find f'(2), f'(0) and f'(3) when the derivative exists. a) f(x)=5x²-6x-1arrow_forward2. f(x)=√7-x 4. A manufacturer has a monthly fixed cost of $40,000 and a production cost of $8 for each unit produced. The product sells for $12 per unit. 1. What is the cost function? 2. What is the revenue function? 3. Compute the profit corresponding to 12,000 units. 5. A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs $0.30 per ft2, the material for the sides cost $0.10 per ft2, and the material for the top costs $0.20 per ft2. Letting x denote the length of one side of the base,arrow_forward
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning

