can someone tell me if im doing this right?

Question

anonymous · Answer

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

anonymous · Answer

now im stuck

taramgrant0543664 · Answer

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)

anonymous · Answer

what the ln for?

taramgrant0543664 · Answer

It's the natural logarithm

anonymous · Answer

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

taramgrant0543664 · Answer

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

anonymous · Answer

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."

anonymous · Answer

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

taramgrant0543664 · Answer

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

anonymous · Answer

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

anonymous · Answer

and then divide by ln43.72?

anonymous · Answer

@taramgrant0543664

taramgrant0543664 · Answer

That's what I would have done.

anonymous · Answer

can you tell me what that is after you divide?

taramgrant0543664 · Answer

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!!

anonymous · Answer

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

anonymous · Answer

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

taramgrant0543664 · Answer

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

taramgrant0543664 · Answer

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

taramgrant0543664 · Answer

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

anonymous · Answer

i understand! thank you so much!

taramgrant0543664 · Answer

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

anonymous · Answer

it is! lol