## anonymous one year ago can someone tell me if im doing this right?

1. anonymous

$A(t)=31,959(1+\frac{ 4.39 }{ 12 })^{12t}$ $31,595=(1.37)^{12t}$ $31,959=(43.72)^{t}$

2. anonymous

now im stuck

3. taramgrant0543664

If you put a ln in front of both sides then the t will come down. So you would have ln(31959)=tln(43.72) an then can divide each side by ln(43.72)

4. anonymous

what the ln for?

5. taramgrant0543664

It's the natural logarithm

6. anonymous

so what would it be after you divide by ln(43.72)? sorry i dont have a scientific or graphing calc with me

7. taramgrant0543664

After the division you would find that t= 2.74556, I don't know how many significant digits you would want

8. anonymous

what does it mean when it says "you want figure out how many months it will be until your principal is paid down to \$10,000.00."

9. anonymous

does that mean you put 10,000 in the P spot or subtract your cars price until you get 10,000?

10. taramgrant0543664

Just to clarify the initial price of the car is 31959? If so then you would put the 10,000 where the A(t) is and solve for time

11. anonymous

$10,000=31,595(1+\frac{ 4.39 }{ 12 })^{12t}$ $.317=(1.37)^{12t}$ $.317=(43.72)^{t}$

12. anonymous

and then divide by ln43.72?

13. anonymous

@taramgrant0543664

14. taramgrant0543664

That's what I would have done.

15. anonymous

can you tell me what that is after you divide?

16. taramgrant0543664

I'm sorry something is wrong as it comes out as a negative number so something is off and I am trying figure out what happened! Sorry!!

17. anonymous

can you also tell me what 31,595 divided by ln62.59 is please?

18. anonymous

and it said its supposed to be a negative so you didnt mess up!

19. taramgrant0543664

I should also note that when you ln the one side you have to ln the other as well

20. taramgrant0543664

31595 divided by ln62.59 is 7637.9 ln31595 divided by ln62.59 is 2.50

21. taramgrant0543664

I always just assume that when I see a negative value I am wrong as I am a chemistry major and when things are negative it normally means I did something really wrong! ln0.317 divided by ln43.72 equals -0.304

22. anonymous

i understand! thank you so much!

23. taramgrant0543664

Your welcome! Sorry for the small confusion but hopefully it's good now lol!

24. anonymous

it is! lol

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