http://prntscr.com/hd5d5b
@Shadow
35000 x .04?
x 6
Do you know the formula for compound interest?
i haven't used it in a while
\[A(t) = p(1 + \frac{ r }{ n })^{nt}\] A = account balance p = Principal/initial amount r = interest rate n = times compounded per year t = time (in years)
Using the given information, can you input into our formula?
I need assistance because idk what is what here other than intrest and time in years
@Shadow
Sorry, was helping another user then they went offline ._. Initial amount = $35,000 Rate = 4% time = 6 years Can you tell me the number of times that they compound in a year?
no im sorry i dont know what that means yet
Okay let's analyze our question. After 6 years, what is the total amount of a compound interest investment of $35,000 at 4% interest, compounded quarterly? Our period of time is given as six years. Therefore we know that t = time (in years) will be six. Next it tells us that the investment is $35,000. This will be our principal, or initial amount. Also known as p. Next they tell us our interest rate, which is 4% Lastly, they say it is compounded quarterly. This means that they will compound four times in a year. n will be 4 (n = times compounded per year).
Other problems may say compounded monthly, as in such case n would be what number?
12?
sorry my pc crashed ;-;
Correct, so looking at our problem, we have identified our variables. Can you put our formula together?
A(6)=35000(1 + .04/48[or 24])^24 or 48
its not 48 its 72 sorry
How did you get 72?
12 months in a year = a compound 6 years
6 x 12 = 72
No so the question states that it is compounded quarterly, thus four times a year. I like to prepare people for the future, so that is why I brought up how other problems may say monthly, in which case you would put 12 instead of 4.
so its 24
So n is just 4, and for nt on the outside for our exponent, it is 4(6) = 24
I got a number that was close to C but i think i messed up in my math
You can show me your work and I can check it.
i used a calc
and got 47,680 something
i know it was 47,000 though
\[A(6) = 35,000(1 + \frac{ 0.04 }{ 4 })^{24} \]
PEMDAS?
Haha what?
parenthesis Exponents multiply divide addition subtraction
What about it?
do i use it
Yes, so Parentheses first, then exponent, then multiply
1.01
What? :)
1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01 x 1.01
lol
1.26973464853
44440.7126985
i was right ;o
That is what I got as well :)
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