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ns 122. Finding Time Find the amount of time to the neares a year that it would

ID: 3136994 • Letter: N

Question

ns 122. Finding Time Find the amount of time to the neares a year that it would take for S10 to grow to $40 at each of following annual rates compounded continuously a. 1% b. 2% c. 8.327% 123. Finding Rate Find the annual percentage rate compounded continuously to the nearest tenth of a percent for which $10 would grow to $30 for each of the following time periods. a. 5 years b. 10 years c. 20 years d. 40 years 124. Finding Rate Find the annual percentage rate to the nearest tenth of a percent for which $10 would grow to $50 for eah of the following time periods. a. 4 years b. 8 years c. 16 years d. 32 years 25. Becoming a illionaire Find the amount of time to the ne est dar ths

Explanation / Answer

122)

A= Pe^(rt)

40 =10e^(rt)

4=e^(rt)

ln(4) =rt

t= ln(4)/r

a)

when r= 0.01

t= ln(4)/0.01

t=  138.6 years

b)

when r= 0.02

t= ln(4)/0.02

t=  69.3 years

c)

when r= 0.08327

t= ln(4)/0.08327

t=16.6 years

d)

when r= 0.07667

t=ln(4)/0.07667

t= 18.1 years