Find the value of $10000 at the end of one year if it is invested in an account that has an interest rate of 4.95% and is compounded in accordance with the rules below. (a). compounded monthly (b). compounded daily (assuming a 365- day year) (c). compounded quarterly

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Find the value of $10000 at the end of one year if it is invested in an account that has an interest rate of 4.95% and is compounded in accordance with the rules below. (a). compounded monthly (b). compounded daily (assuming a 365- day year) (c). compounded quarterly

Linear Algebra
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Do you know the compound interest formula?
\[F=P(1+{r \over n})^{nt}\]F=Future amount P=Initial amount r=annual interest rate n=number of times compounded in a year t=number of years. So, for (a), compounded monthly. n=12, t=1, P=10000, r=0.0495. Substitute all that in and you'll have your F, the future amount.
Actually they are giving me the formula A=P(1+r/m)mt

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Other answers:

\[10000(1+0.0495\div12)12\]
Same thing, different letters.
ok. SO HOW CAN I FIND THE ANSWER BECAUSE WHAT IM GETTING DOESNT SEEM CORRECT TO WHAT THE EXAMPLE IS SHOWING ME
I pretty much have found the computing formula to find each steps but unable to get verifiable answer
because in the examples they use 15000 and the answer turns out to be $15696.91
\[A=P(1+{r \over m})^{mt}\]\[A=10000(1+{0.0495\over 12})^{12}\]\[A=10000(1.05)\]\[A=10506.4\] Obviously I've done rounding where I shouldn't have, but that's the procedure.
how did they get that answers from using the formula because i know for m- i would put 12
What are the values they use in the examples?
they used 15000-p, 0.0455- r, and 12- m
Right so, put those values in in the formula. \[A=15000(1+{0.0455\over 12})^{12}\]
yes
And you get: 15696.91
yes thats what they got
how did u reach to that?
By working out the above equation. Lets do it step by step... Upcoming Ugly numbers!!! 0.0455/12=0.00379166666666666666666666666667 That+1=1.00379166666666666666666666666667 that ^ 12=1.0464609601126369220378253015612 that * 15000=15696.914401689553830567379523418 with some rounding, you get 15696.91.
thank you
let me try it myself and i will let you know
Order of operations. Brackets Exponents Division Multiplication Addition Subtraction or easily remembering: BEDMAS. Also, remember ab^k is NOT equal (ab)^k. the difference is that ab^k is a*(b^k) whereas (ab)^k is (a*b) ^ k... there's a different order that you apply the maths in; which result in a different value at the end.
ok
Good luck.
it didnt work the way u did it when i plugged everything myself into the equation It give me 10,506.39 and i got 2690666.1
Work it out in steps. 0.0495/12=a 1+a=b b^12=c P*c=F

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