+0  
 
0
493
2
avatar

While Donald ignored the situation, the credit company was adding 24% interest (compounded monthly) to the $8,000 he already owed. A) When the debt reaches $9,500, the credit company will notify the police, and will file charges against Donald. Write an equation in terms of time t (in years) to show how soon this will happen.

 Dec 12, 2016
 #1
avatar+1491 
-1

Well lets absorb the info we have here and what we know:

 

Compounded periodically ->   A= P(1+(r/n))^(nt)

 

Compunded monthly -> n=12

 

Already owed $8000 -> P=8000

 

$9500 means the end of the line for Donald -> A=9500

 

24% interest -> r=.24

 

Just use the info here to figure it out...

 

Anymore questions? Just ask!

 Dec 12, 2016
 #2
avatar
0

FV = PV [1 + R]^N

9,500 = 8,000 [1 + 0.24/12]^N divide both sides by 8,000,

1.1875 = [1.02]^N take the log of both sides

N = Log(1.1875) / Log(1.02)

N =8.68 months, or 0.723 of one year.

 Dec 12, 2016

1 Online Users

avatar