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 2 years ago
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
 2 years ago
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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PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know the compound interest formula?

PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0\[F=P(1+{r \over n})^{nt}\]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.

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0Actually they are giving me the formula A=P(1+r/m)mt

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0\[10000(1+0.0495\div12)12\]

PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0Same thing, different letters.

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0ok. SO HOW CAN I FIND THE ANSWER BECAUSE WHAT IM GETTING DOESNT SEEM CORRECT TO WHAT THE EXAMPLE IS SHOWING ME

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0I pretty much have found the computing formula to find each steps but unable to get verifiable answer

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0because in the examples they use 15000 and the answer turns out to be $15696.91

PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0\[A=P(1+{r \over m})^{mt}\]\[A=10000(1+{0.0495\over 12})^{12}\]\[A=10000(1.05)\]\[A=10506.4\] Obviously I've done rounding where I shouldn't have, but that's the procedure.

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0how did they get that answers from using the formula because i know for m i would put 12

PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0What are the values they use in the examples?

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0they used 15000p, 0.0455 r, and 12 m

PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0Right so, put those values in in the formula. \[A=15000(1+{0.0455\over 12})^{12}\]

PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0And you get: 15696.91

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0yes thats what they got

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0how did u reach to that?

PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0By 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.

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0let me try it myself and i will let you know

PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0Order 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.

clhenry
 2 years ago
Best ResponseYou've already chosen the best response.0it 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

PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0Work it out in steps. 0.0495/12=a 1+a=b b^12=c P*c=F
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