Concept explainers
Use Table 1 to evaluate all
91. Learning. A person Iearns N iterns at a rate given approximately by
where t is the number of hours of continuous study. Determine the total number of items learned in the first 12 hours of continuous study.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
EP CALCULUS FOR BUSINESS..-MYLAB ACCESS
- Find the total income produced by the continuous income stream with rate of flow f(t)-2000x in the first 5 years, wheret is time in years. This is a numerical answer problem, so just type in the numeric answer. The result is a whole number and do not round your answer.arrow_forward2. The number of students N at local college who have had the flu t months after the semester begins can be modeled by the formula N(t) = 500 – 450 1+3t for t >0. a. Find and interpret N(0). b. How long will it take until 300 students will have had the flu?arrow_forwardIf the growth rate of the number of bacteria at any time t is proportional to the number present at t and doubles in 1 week, how many bacteria can be expected after 2 weeks?arrow_forward
- 6. Determine the equation for the following exponential function in the form of f(x)=ab*+ c. Show all your steps. (0, 3) -2 1- (2,0) -3 -2 -1 3 -1- -3- 2.arrow_forwardIf n=10 and p=0.5, find P(x=8) Give at least 4 decimal places.arrow_forwardAssume that in a certain country, the rate at which jobs are created is proportional to the number of people who already have jobs. If there are 15 million jobs at t = 0 and 15.1 million jobs 3 months later, how many jobs will there be after 2 years?arrow_forward
- This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.If a tank holds 4000 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as the following. Therefore, when t = 5, the rate at which the water drains is V'(5)arrow_forwardIn Problems 19–21, evaluate each expression. Do not use a calculator. 19. log: 20. Ine 21. 2log20.4arrow_forward2. A bacteria culture starts with 10,000 bacteria and the number doubles every 40 minutes. Determine a formula for the number of bacteria at time t. A. f(t) = 10,000 x 20.5t ; where t is the number of hours B. f(t) = 10,000 x 21.5t ; where t is the number of hours C. f(t) = 10,000 x 2t ; where t is the number of hoursarrow_forward
- If P(A) = 0.53, P(B) = 0.3, and P(A and B) = 0.15, then P(A/B) = (Please round to two decimal places.)arrow_forwardA museum contains a large pendulum. Due to air resistance and friction, each swing of the pendulum is a little shorter than the previous one. Suppose the first swing of the pendulum has a length of 25,000 mm and each return swing loses 4% of its length until eventually the pendulum comes to a complete stop. Answer parts A, B, C, and D and if necessary, round to the nearest tenth of a millimeter. A. Let 'n' be defined as the number of swings the pendulum travels. Define 'a1' and 'r' (these are used in the explicit formula.) Write a geometric sequence in summation (Sigma) notation to express the total distance that the pendulum will have traveled after 30 swings. Sigma notation will have a lower limit, an upper limit, and an explicit formula. Do not compute the sum. B. Use the summation formula to find the total distance the pendulum swings. C. Using information from part A, write a geometric series in summation (Sigma) notation to express the total distance that the pendulum will have…arrow_forward3. In an experiment, the growth rate of a population of bacteria t hours after the bacteria are exposed to moist air is approximated by k√t, where P dP dt represents the population size and k is a constant. The population of bacteria is 1,000 before the bacteria are exposed to moist air and the population grows to 1,200 after 4 hours. Find the population bacteria after 9 hours. -arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning