A= P+ Prt
. 40 points

Part A

P = 10000 = amount deposited

r = 0.074 (decimal form of 7.4% interest rate)

t = 3 years

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A = P+P*r*t

A = 10000+10000*0.074*3

A = 10000+2220

A = 12220

12,220 dollars

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Part B

P = 10000 = amount deposited

r = 0.065 (decimal form of 6.5% interest rate)

n = 4 = number of times money is compounded per year (aka quarterly)

t = 3 years

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A = P*(1+r/n)^(n*t)

A = 10000*(1+0.065/4)^(4*3)

A = 10000*(1+0.01625)^(12)

A = 10000*(1.01625)^(12)

A = 10000*1.21340757895955

A = 12134.0757895955

A = 12134.08

12,134.08 dollars

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Part C

The simple interest investment is better over the first three years since 12,220 dollars (from part A) is larger than 12,134.08 dollars (from part B).

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Part D

I recommend George go with the compound interest account. Yes the interest rate is lower, so he won't get as much money over the first three years. But after that period he can choose to leave the money to collect interest, or withdraw some of it (leaving the remaining amount to collect compound interest). From year 5 and onward, the compound interest account will earn more money.

A graph and table is shown below. For the table, cells highlighted in blue represent when f(x) is larger than g(x). I'm using x in place of t for the graph. The f(x) curve is the simple interest function and the g(x) curve is the compound interest function.

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.