17. [-/1 Points] DETAILS LARPCALC11 3.1.041. Use the One-to-One Property to solve the equation for x. (Enter your answers as a comma-separated list.) e4x + 3 = e8 X = Need Help? Read It 18. [-/1 Points] DETAILS LARPCALC11 3.1.042.MI. Use the One-to-One Property to solve the equation for x. (Enter your answers as a comma-separated list.) e 6X - 4 = e8 X = Need Help? Read It Watch It Master It19. [/6 Points] DETAILS LARPCALC11 3.1.046. MY NOTES ASK YOUR TEACHER Complete the table by finding the balance A when P dollars is invested at rate r for t years and compounded n times per year. (Round your answers to the nearest cent.) P = $2100, r = 5.5%, t = 11 years n 1 A 2 4 12 365 Continuous mmmmwm Need Help? 20. [I5 Points] DETAILS LARPCALC11 3.1.050.M|. MY NOTES ASK YOUR TEACHER Complete the table by finding the balance A when $18,000 is invested at rate r for t years, compounded continuously. (Round your answers to two decimal places.) r = 6% t 10 20 30 4o 50 A|$ $ $ | $ Need Help? 21. [I3 Points] DETAILS LARPCALC11 3.1.057. MY NOTES | ASK YOUR 'I Let Q represent a mass of radioactive plutonium (239Pu) (in grams), whose half-life is 24,100 years. The quantity of plutonium present after t years is [724,100 (a) Determine the initial quantity (when t = 0). 9 (b) Determine the quantity present after 90,000 years. (Round your answer to two decimal places.) 9 (c) Use a graphing utility to graph the function over the interval t = 0 to t = 150,000. 22. [-/3 Points] LARPCALC11 3.1.058. ASK YOUR TEACHER PRACTICE ANOTHER Let Q represent a mass (in grams) of carbon (14C), whose half-life is 5,715 years. The quantity of carbon-14 present after t years is given by the following. 1 [/5715 Q = 15%) (a) Determine the initial quantity (when t = 0). 9 (b) Determine the quantity present after 1500 years. (Round your answer to two decimal places.) (c) Sketch the graph of the function over the interval t = 0 to t = 10,000. 35 \\_ 1e /,' 5o / \\\\ / / 30 \\_ I4 \\ 1/ 45 / \\ \\ 100 /' // z \" . 12 \\\\ / 4o / \\\\ \\ // / \\ 1o \\ / 35 / 20 \\ \\. 5 / / o \\\\ \\ o a \\\\ o o / , I5 \\\\ \\\\ / 3 / \\\\\\ 6 \\ \\ ' 60 / 10 'a a 2' 5 4 ,/ /, // 2 / 5 2 / f / / 40 1// // 15 0 2000 4000 $00 $00 10000 0 2000 4000 $00 $00 10000 0 2000 4000 $00 $00 10000 0 2000 000 $00 $00 10000 I l l l . [I3 Points] LARPCALC11 3.1.058. ASKYOUR TEACHER PRACTICE ANOTHER Let Q represent a mass (in grams) of carbon (14C), whose half-life is 5,715 years. The quantity of carbon-14 present after t years is given by the following. 1 t/5,715 Q = 15(3) (a) Determine the initial quantity (when t = 0). 9 (b) Determine the quantity present after 1500 years. (Round your answer to two decimal places.) (c) Sketch the graph of the function over the interval t = 0 to t = 10,000. 35 \\ 1s /' 5 / _ /' /' an \\\\ 14 \\ .\\ 45 // \\_ '\\ '00 / / \\ 12 \\ / w / z \\\\ ~\\ / / 1o 20 \\ \\ \\ E] // 35 / / 0 ~\\ 0 a -\\ o 0 / 15 \\\\\\ / 3 ,/ s so // // _ g \\ 5 10 ' / // . / / / / / an . 5 2 , / '0 /// /,/ 15 0 2000 4000 6300 8000 10000 0 2000 4000 8000 3000 10000 0 2000 4000 6000 K100 10000 0 2000 4000 6000 5000 10000 l I I l