Suppose you want to have $700,000 for retirement in 35 years. Your account earns 9% interest. How much would you need to deposit in the account each month?

you should deposit $236.2 each month.

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of payment intervals.

n represents the total number of payments made.

From the information given,

there are 12months in a year, therefore

r = 0.09/12 = 0.0075

n = 12 × 35 = 420

S = $700000

Therefore,

700000 = R[{(1 + 0.0075)^420 - 1)}/0.0075][1 + 0.0075]

700000 = R[{(1.0075)^420 - 1)}/0.0075][1.0075]

700000 = R[{(23.06 - 1)}/0.0075][1.0075]

700000 = R[{22.06}/0.0075][1.0075]

700000 = R[2941.3][1.0075]

700000 = 2963.36R

R = 700000/2963.36

R = 236.2

10000000000000000000000000000000

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.