can someone tell me if im doing this right?

- anonymous

can someone tell me if im doing this right?

- schrodinger

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- anonymous

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

- anonymous

now im stuck

- 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)

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## More answers

- anonymous

what the ln for?

- taramgrant0543664

It's the natural logarithm

- anonymous

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

- taramgrant0543664

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

- 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."

- anonymous

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

- 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

- anonymous

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

- anonymous

and then divide by ln43.72?

- anonymous

- taramgrant0543664

That's what I would have done.

- anonymous

can you tell me what that is after you divide?

- 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!!

- anonymous

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

- anonymous

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

- taramgrant0543664

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

- taramgrant0543664

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

- 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

- anonymous

i understand! thank you so much!

- taramgrant0543664

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

- anonymous

it is! lol

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