If tanisha has $nbsp 100 100 to invest at 66% per annum compounded semiannuallysemiannually, how long will it be before she has $nbsp 150 150? if the compounding is continuous, how long will it be?

time is 6.76 years

Step-by-step explanation:

given data

amount = $150

payment = $100

rate r = 6%  = 0.06

to find out

time period t

solution

we know it is compounding continuous

so we will apply here formula that is

amount = payment ×   ..........1

put here all value we get

amount = payment ×  

150 = 100 ×  

take ln both side

ln 1.5 =    

0.40546 = 0.06t

t = 0.40546 / 0.06

t = 6.76

so time is 6.76 years

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

the line of