Find how many years it would take for an investment of $3600 to grow to $6900 at an annual interest rate of 4.3% compounded continuously.

roughly 15 years

Step-by-step explanation:

The formula for continuous compounding is

A = Pe^(rt), where P is the initial amount (principal), r is the interest rate as a decimal fraction, and t is the number of years.  Here:

$6900 = $3600*e^(0.043*t).  Let's solve this for t.  To accomplish that,

take the natural log of both sides:

ln 6900 = ln 3600 + 0.043t.  Subtracting ln 3600 from both sides, we get:

8.839 = 8.189 + 0.043t, or    0.6506 = 0.043t.  Dividing both sides by 0.043 yields

      0.6506

t = = 15.13 years, or about 15 years 2 months, or roughly 15 years

         0.043

the naturalist literary movement was an extension of the realist literary movement, a movement that strove to portray life as it really was hope it

step-by-step explanation:

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.