The monthly mortgage payment on your house is $821.69. it is a 30 year mortgage at 6.5% compounded monthly. how much did you borrow? (round to the nearest dollar)

The amortization formula can be used to figure this.

... A = P(r/n)/(1 -(1 +r/n)^(-nt))

where A is the monthly payment, P is the amount borrowed, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

Fill in the given information, and solve for P (in either order).

... 821.69 = P(.065/12)/(1 - (1 +.065/12)^(-12*30)) ≈ 0.00632068023P

... P ≈ 130,000.25 . . . . . divide by the coefficient of P

Rounded to the nearest dollar, you borrowed $130,000.

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.

d

step-by-step explanation: