Problem

$A=p\left(1+\frac{r}{n}\right)^{n t}$ when $p=200, r=0.04, n=1, t=3$

Answer

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Answer

Final Answer: \(\boxed{224.9728}\)

Steps

Step 1 :We are given a compound interest formula: \(A=p\left(1+\frac{r}{n}\right)^{n t}\), where:

Step 2 :- A is the amount of money accumulated after n years, including interest.

Step 3 :- p is the principal amount (the initial amount of money).

Step 4 :- r is the annual interest rate (in decimal).

Step 5 :- n is the number of times that interest is compounded per year.

Step 6 :- t is the time the money is invested for in years.

Step 7 :We are given the values of p, r, n, and t as 200, 0.04, 1, and 3 respectively.

Step 8 :Substitute these values into the formula to find the value of A: \(A=200\left(1+\frac{0.04}{1}\right)^{1 \times 3}\)

Step 9 :Solving the above expression, we get A = 224.9728

Step 10 :Final Answer: \(\boxed{224.9728}\)

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