$1800 is deposited in an account that pays 4.5% annual interest, compounded continuously. when will the balance be $5000

Question

anonymous · Answer

When you get a job and stop depending on interest

anonymous · Answer

@UnkleRhaukus haven't heard from you all day :( advoiding me much??

anonymous · Answer

hahah @DylanH

anonymous · Answer

lol but for the answer do you want that in years or what?

anonymous · Answer

well i want you to help me solve dont give me the answer please.. and i dont think it matters

anonymous · Answer

Its a repeating decimal

unklerhaukus · Answer

i have been working on my own problems

anonymous · Answer

So first you find out what you get each year

anonymous · Answer

which is 1800 x .045

anonymous · Answer

@DylanH got it

anonymous · Answer

is there not a formula???

anonymous · Answer

no you had to do it step by step

anonymous · Answer

@UnkleRhaukus Oh i understand!

anonymous · Answer

@satellite73  WHATCHU GET?!?!?

anonymous · Answer

first off lets to this problem, then we do yours

anonymous · Answer

81?

anonymous · Answer

then after you know the annual rate of 81$ you subtract 1800 from 5000 to see how much you need

anonymous · Answer

3200

anonymous · Answer

Nice! Now you divide that number by 81 to see how long it will take

anonymous · Answer

$$5000=1800e^{.045t}$$
divide by1800
take the log
divide by .045

anonymous · Answer

39.51

anonymous · Answer

thats how many yard it will take

anonymous · Answer

*years
autocorrect

anonymous · Answer

$$\frac{25}{9}=e^{.045t}$$
$$\ln(\frac{25}{9})=.045t$$
$$t=\ln(\frac{25}{9})\div.045$$

anonymous · Answer

Or you could do it the hard way^^

anonymous · Answer

about 22.7 years 
no other way to do it
now on to @DylanH question 
i will write it out there when you are ready

anonymous · Answer

im ready

anonymous · Answer

wait why do i have 2 different answers....:/

anonymous · Answer

@satellite73 @DylanH

anonymous · Answer

sate gave me 22.7 and Dyl we got 39.51