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Compound interest We will show in the next chapter that if $P is invested for n years at 10% compounded con- tinuously, the future value of the investment is given by S = Pe0.1n STOS Use P = 1000 and graph this function for 0

Compound interest We will show in the next chapter that if $P is invested for n years at 10% compounded con- tinuously, the future value of the investment is given by S = Pe0.1n STOS Use P = 1000 and graph this function for 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 49PFA
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0. Use a graphing utility to graph the functions. S1. (a) Fix a = 1 and graph y = f(x) = c(1 + e¯*) for national out-of- can be modeled c = 10, 50, and 100. (b) What effect does c have on the graphs? 32. (a) Fix c = 50 and graph y = f(x) = 50(1 + e¯a^) for where t is the billions of dol ing utility to Population g to answer Pr considered a = 0.1, 1, and 10. (b) What effect does a have on the graphs? APPLICATIONS 33. Compound interest If $1000 is invested for x years at 8%, compounded quarterly, the future value is given by S = 1000(1.02)4*x What amount will result in 8 years? 34. Purchasing power and inflation The purchasing power P of a fixed income of $30,000 per year (such as a pension) aftert years of 4% inflation can be modeled by where No is the yearly 1 41. Sketch the rate is 2% 42. Sketch the rate is 3% 43. Repeat Pr 44. Repeat P 45. Real con real gros P= 30,000 (1.04) -t bns Find the purchasing power (to the nearest dollar) after (a) 5 years and (b) 20 years. 35. Compound interest We will show in the next chapter that if $P is invested for n years at 10% compounded con- tinuously, the future value of the investment is given by consum for sele this rea S = Pe0.1n STOS modele Use P = 1000 and graph this function for 0 < n< 20. where 36. Compound interest If $1000 is invested for x years at 10%, compounded continuously, the future value that results is (a) Is dPE (b) c S = 1000e0.10x 2 46. Adv What amount will result in 5 years? 37. Drug in the bloodstream The percent concentration y of a certain drug in the bloodstream at any time t in minutes is given by the equation 1 – e 0.4624) 0 to ac follo is a y = 100(1 Istot Graph this equation for 0 < t < 10. Write a sentence that interprets the graph. 38. Bacterial growth A single bacterium splits into two bac- teria every half hour, so the number of bacteria in a cul- (a hinh A回
Transcribed Image Text:0. Use a graphing utility to graph the functions. S1. (a) Fix a = 1 and graph y = f(x) = c(1 + e¯*) for national out-of- can be modeled c = 10, 50, and 100. (b) What effect does c have on the graphs? 32. (a) Fix c = 50 and graph y = f(x) = 50(1 + e¯a^) for where t is the billions of dol ing utility to Population g to answer Pr considered a = 0.1, 1, and 10. (b) What effect does a have on the graphs? APPLICATIONS 33. Compound interest If $1000 is invested for x years at 8%, compounded quarterly, the future value is given by S = 1000(1.02)4*x What amount will result in 8 years? 34. Purchasing power and inflation The purchasing power P of a fixed income of $30,000 per year (such as a pension) aftert years of 4% inflation can be modeled by where No is the yearly 1 41. Sketch the rate is 2% 42. Sketch the rate is 3% 43. Repeat Pr 44. Repeat P 45. Real con real gros P= 30,000 (1.04) -t bns Find the purchasing power (to the nearest dollar) after (a) 5 years and (b) 20 years. 35. Compound interest We will show in the next chapter that if $P is invested for n years at 10% compounded con- tinuously, the future value of the investment is given by consum for sele this rea S = Pe0.1n STOS modele Use P = 1000 and graph this function for 0 < n< 20. where 36. Compound interest If $1000 is invested for x years at 10%, compounded continuously, the future value that results is (a) Is dPE (b) c S = 1000e0.10x 2 46. Adv What amount will result in 5 years? 37. Drug in the bloodstream The percent concentration y of a certain drug in the bloodstream at any time t in minutes is given by the equation 1 – e 0.4624) 0 to ac follo is a y = 100(1 Istot Graph this equation for 0 < t < 10. Write a sentence that interprets the graph. 38. Bacterial growth A single bacterium splits into two bac- teria every half hour, so the number of bacteria in a cul- (a hinh A回
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