Nature of Mathematics
13th Edition
ISBN: 9781285697734
Author: karl J. smith
Publisher: Cengage Learning US
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Chapter P, Problem 30PS
To determine
To find:
The time for which Jack and Jill will be exercising until they return to the starting point at the same time.
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15 FILING
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EMPLOYMENT PROFESSIONALS
NAME:
SKILLS EVALUATION TEST- Light Industrial
MATH-Solve the following problems. (Feel free to use a calculator.)
DATE:
1. If you were asked to load 225 boxes onto a truck, and the boxes are crated,
with each crate containing nine boxes, how many crates would you need to load?
2. Imagine you live only one mile from work and you decide to walk. If you
walk four miles per hour, how long will it take you to walk one mile?
3. Add 3 feet 6 inches + 8 feet 2 inches + 4 inches + 2 feet 5 inches.
4. In a grocery store, steak costs $3.85 per pound. If you buy a three-pound
steak and pay for it with a $20 bill, how much change will you get?
5. Add 8 minutes 32 seconds + 37 minutes 18 seconds + 15 seconds.
FILING - In the space provided, write the number of the file cabinet where the company should be filed.
Example: File Cabinet #4 Elson Co.
File Cabinets:
1. Aa-Bb
3. Cg-Dz
5. Ga-Hz
7. La-Md
9. Na-Oz
2. Bc-Cf…
part 3 of the question is:
A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.
Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
Chapter P Solutions
Nature of Mathematics
Ch. P - IN YOUR OWN WORDS The prologue provides a...Ch. P - IN YOUR OWN WORDS The epilogue for this text...Ch. P - HISTORICAL QUEST What are the five chronological...Ch. P - HISTORICAL QUEST Select what you believe to be the...Ch. P - HISTORICAL QUEST Select what you believe to be the...Ch. P - HISTORICAL QUEST Select what you believe to be the...Ch. P - HISTORICAL QUEST Select what you believe to be the...Ch. P - HISTORICAL QUEST Select what you believe to be the...Ch. P - IN YOUR OWN WORDS This prologue has 60 problems as...Ch. P - IN YOUR OWN WORDS Problems 11-60 are included to...
Ch. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - How many people must be in a room to be sure that...Ch. P - In mathematics, is is important to read the...Ch. P - If a year had two consecutive months with a Friday...Ch. P - On Saturday evenings, a favourite pastime of the...Ch. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - If the population of the world on October 12,2002,...Ch. P - Prob. 20PSCh. P - In mathematics, is is important to read the...Ch. P - Prob. 22PSCh. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - In mathematics, is is important to read the...Ch. P - If a group of 50 persons consists of 20 males, 12...Ch. P - In mathematics, is is important to read the...Ch. P - Prob. 30PSCh. P - What is the 1,000th positive integer that is not...Ch. P - In mathematics, is is important to read the...Ch. P - How many trees must be cut to make a trillion...Ch. P - Prob. 34PSCh. P - Critique the statement given in the news clip.Ch. P - In mathematics, is is important to read the...Ch. P - Prob. 37PSCh. P - The map shows the percent of children ages 19-35...Ch. P - Prob. 39PSCh. P - Find limn(1+1n)n.Ch. P - Prob. 41PSCh. P - Prob. 42PSCh. P - Suppose the percentage of alcohol in the blood t...Ch. P - Prob. 44PSCh. P - A map of small village is shown in Figure 8. To...Ch. P - A hospital wishes to provide for its patients a...Ch. P - Prob. 47PSCh. P - Find the smallest number of operations needed to...Ch. P - If log2x+log4x=logbx, what is b?Ch. P - Supply the missing number in the following...Ch. P - Prob. 51PSCh. P - Answer the question asked in the news clip from...Ch. P - Five cards are drawn at random from a pack of...Ch. P - What is the sum of the counting numbers from 1 to...Ch. P - The Kabbalah is a body of mystical teaching from...Ch. P - What is the maximum number of points of...Ch. P - The equation P=153,000e0.05t represents the...Ch. P - The Egyptians had an interesting, pictorial...Ch. P - If you start with 1 and double the amount received...Ch. P - Consider two experiments and events defined as...
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- Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $13,000, r = 6%, t = 10, compounded quarterly A = $ 31902 Need Help? Read It Watch It Viewing Saved Work Revert to Last Response SUBMIT ANSWER O/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.003. EVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $140,000, r = 8%, t = 8, compounded monthly A = $259130.20 X Need Help? Read It Watch Itarrow_forwardFind the present value of $20,000 due in 3 years at the given rate of interest. (Round your answers to the nearest cent.) (a) 2%/year compounded monthly (b) 5%/year compounded daily $ Need Help? Read It Watch It SUBMIT ANSWER [-/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.009. ASK YOUR TEACHER PRACTICE ANC Find the accumulated amount after 3 years if $4000 is invested at 3%/year compounded continuously. (Round your answer to the nearest cent.) Need Help? Read It Watch Itarrow_forwardFind the effective rate corresponding to the given nominal rate. (Round your answers to three decimal places.) (a) 9.5%/year compounded monthly % (b) 9.5%/year compounded daily % Need Help? Read It Watch It SUBMIT ANSWER -/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.007. ASK YOUR TEACHE Find the present value of $90,000 due in 7 years at the given rate of interest. (Round your answers to the nearest cent.) (a) 9%/year compounded semiannually (b) 9%/year compounded quarterly LAarrow_forward
- Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $160,000, r = 7%, t = 4, compounded daily A = $211113.60 Need Help? Read It SUBMIT ANSWER ASK YOUR TEACHER PRACTICE ANOTHER --/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.005. Find the effective rate corresponding to the given nominal rate. (Round your answers to three decimal places.) (a) 8%/year compounded semiannually % (b) 9%/year compounded quarterly %arrow_forward3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents the pendulum's displacement as a function of time. Answer: f(t) (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. 10 9 8 7 6 5 4 3 2 1 0 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -1 -5. -6 -7 -8 -9 -10-arrow_forwardFind the derivative of the function. g'(t) = 9t g(t) = In(t) (9ln(t) - 1) [In(t)] 2 × Need Help? Read It Watch Itarrow_forward
- A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. (a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. (b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forwardFind the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $3800, r = 4%, t = 10, compounded semiannually A = $ 5645.60 × Need Help? Read It SUBMIT ANSWER [3.33/6.66 Points] DETAILS MY NOTES REVIOUS ANSWERS ASK YOUR TEACHER TANAPCALC10 5.3.001.EP. PRACTICE ANOTHER Consider the following where the principal P is invested at an interest rate of r per year for t years. P = $3,100, r = 4%, t = 10, compounded semiannually Determine m, the number of conversion periods per year. 2 Find the accumulated amount A (in dollars). (Round your answer to the nearest cent.) A = $ 4604.44arrow_forwardThe Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140- €120 Height, h (ft) 100 80 60 40 20 0 ך 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel. Answer:arrow_forward
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