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$ 82,531.59.

Step-by-step explanation:

Formula to calculate the accumulated amount compounded daily:

,where P=principal amount, t=time ( in days ), r =rate of interest.

Given: P= $51,123.21

r =

t= 20 years 2 months

 [1 year = 365 days, 1 year = 12 months]

Substitute all values in the formula, we get

hence, future value = $ 82,531.59.

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.

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