VA Section 4.2 - MATH 19, section 6 X Course Hero X + X G G A webassign.net/web/Student/Assignment-Responses/last?dep=29741496 SGAO 2. [-/5 Points] DETAILS SPRECALC7 4.2.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In the formula A(t) = Pert for continuously compound interest, the letters P, r, and t stand for |---Select--- v, -Select--- v , and ---Select- v, respectively, and A(t) stands for ---Select--- J . So if $300 is invested at an interest rate of 6% compounded continuously, then the amount after 5 years is $ . (Round your answer to the nearest cent.) Need Help? Read It 3. [-/4 Points] DETAILS SPRECALC7 4.2.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a calculator to evaluate the function at the indicated values. Round your answers to three decimals. h(x) = e-3x; h(=), h(1.5), h(-1), h(-#) " (2) = h(1.5) = h(-1) = h(-71) = Need Help? Read It 4. [4/4 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.2.009. MY NOTES ASK YOUR TEACHER Oct 17 7:45 1 US $ 0VA Section 4.2 - MATH 19, section 6 x Course Hero X + X ( > G G A webassign.net/web/Student/Assignment-Responses/last?dep=29741496 S GI State the asymptote. y = 5 Need Help? Read It 6. [-/1 Points] DETAILS SPRECALC7 4.2.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream after t hours is modeled by D(t) = 50e-0.4t How many milligrams of the drug remain in the patient's bloodstream after 4 hours? (Round your answer to one decimal place.) mg Need Help? Read It 7. [2/2 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.2.024. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the function m(t) = 10e-0.018t Oct 17 7:45 1 US G G A webassign.net/web/Student/Assignment-Responses/last?dep=29741496 S (b) How much of the mass remains after 44 days? (Round your answer to one decimal place.) 4.5 kg Need Help? Read It Watch It 8. [-/2 Points] DETAILS SPRECALC7 4.2.501.XP.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Doctors use radioactive iodine as a tracer in diagnosing certain thyroid gland disorders. This type of iodine decays in such a way that the mass remaining after t days is given by the function m(t) = 2e-0.089t where m(t) is measured in grams. (a) Find the mass at time t = 0. grams (b) How much of the mass remains after 8 days? (Round your answer to three decimal places.) grams Need Help? Read It Master It 9. [1/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.2.037. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Which of the given interest rates and compounding periods would provide the best investment? Oct 17 7:45 1 US 9 0A Section 4.2 - MATH 19, section 6 x Course Hero X + X G G A webassign.net/web/Student/Assignment-Responses/last?dep=29741496 GAO 11. [-/4 Points] DETAILS SPRECALC7 4.2.026.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A graphing calculator is recommended. A 10-gallon barrel is filled completely with pure water. Salt water with a concentration of 0.3 Ib/gal is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt in the barrel at time t is given by Q(t) = 3(1 - e-0.05t) where t is measured in minutes and Q(t) is measured in pounds. (a) How much salt is in the barrel after 6 min? (Round your answer to two decimal places.) Ib (b) How much salt is in the barrel after 12 min? (Round your answer to two decimal places.) Ib (c) Draw a graph of the function Q(t). Q(t) Q(t) Oct 17 7:46 1 US 9 0VA Section 4.2 - MATH 19, section 6 x Course Hero X + X G G A webassign.net/web/Student/Assignment-Responses/last?dep=29741496 S GI 6 6 4 4 2 2 -t O 20 40 60 80 100 20 40 60 80 100 (d) Use the graph in part (c) to determine the value that the amount of salt in the barrel approaches as t becomes large. Ib Need Help? Read It Master It 12. [-/3 Points] DETAILS SPRECALC7 4.2.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If $2500 is invested at an interest rate of 5.5% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.) (a) 2 years $ (b) 4 years 9 Oct 17 7:46 1 US 9 0VA Section 4.2 - MATH 19, section 6 x Course Hero X + X G G A webassign.net/web/Student/ Assignment-Responses/last?dep=29741496 SGAO Need Help? Read It Master It 12. [-/3 Points] DETAILS SPRECALC7 4.2.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If $2500 is invested at an interest rate of 5.5% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.) (a) 2 years $ (b) 4 years (c) 12 years Need Help? Read It Watch It 13. [1/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.2.038. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Which of the given interest rates and compounding periods would provide the better investment? O 3% per year, compounded continuously O 3-4% per year, compounded semiannually Oct 17 7:46 1 US 7 0