Question

I GIVE MEDALS AND FAN!!!!!!!!!!!!!!!!!!

Solve for t.
10,000= 39,145 (1+0.03/ 12)^12T

Answer 1

Lets start by dividing both sides by 39145

Answer 2

and then one side cancels out right?

Answer 3

Well the 39145 on the right cancels out yes...so what do you have after you do that?

Answer 4

divide 39145 by 10000

Answer 5

Other way around...divide 10000 by 39145

Answer 6

i got 0.255460467. would i round ?

Answer 7

\[\large \frac{10000}{39145} =\cancel{\frac{39145}{39145}}(1 + \frac{0.03}{12})^{12T}\]

Yeah we can round that to .255 for now :) so we now have

\[\large .255 = (1 + \frac{0.03}{12})^{12T}\]

Answer 8

((((240.743759253/6)*2)+20)-100)=your answer, (simplified it/hid it, you still have to work for it)

Answer 9

don't use google, it rounds too much

Answer 10

do i divide 0.03 and 12 ?

Answer 11

Now lets simplfy that stuff in the parenthesis...

What is .003 / 12 ? and then add 1

Answer 12

Sorry 0.03 / 12

Answer 13

i got 1.0025

Answer 14

its less than 0.5
t<0.5

Answer 15

Perfect...so now we have

\[\large .255 = (1.0025)^{12T}\]

Now...we insert Logarithms...have you worked with them before?

Answer 16

yes but i dont understand them...

Answer 17

That okay...so 1 rule to remember *that we will use here* is

\[\large lna^x = x \times lna\] meaning when you take the og of something with a variable as the exponent......that exponent comes down and multiplies to the log

So here...

\[\large ln(.255) = 12T \times ln(1.0025)\]

Answer 18

so i would find the log of .255 & 1.0025?

Answer 19

Not quite...now you divide both sides by ln(1.0025) because we want to isolate that 12T right?

so

\[\large \frac{ln(.255)}{ln(1.0025)} = 12T\]

Right?

Answer 20

so now i can find the log or do i didvide them?

Answer 21

Well both ...unless you have a calculator of course then just input them :)

Answer 22

okay i got -547.2796551 o:

Answer 23

Haha don't freak out...that's correct :)

Just 1 more step though...

\[\large -547.2796551 = 12T\]

To solve for 't' we divide both sides by 12....so

T = ?

Answer 24

LOL okay c: T=-45.60663793

Answer 25

And there is your answer :)

* I checked it it's right ;P

Answer 26

Thanks!

Answer 27

Hope that all made sense hun :)