$A=p\left(1+\frac{r}{n}\right)^{n t}$ when $p=200, r=0.04, n=1, t=3$
Final Answer: \(\boxed{224.9728}\)
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: \(\boxed{224.9728}\)