Problem

What amount, $A$, will our account have after 3 years if it earns an annual rate of $6 \%$ compounded quarterly if we started with $\$ 950$. Round to the nearest cent. \[ A=\$ \] Question Help: Written Example Message instructor D Post to forum Submit Question

Solution

Step 1 :Define the variables where \(P = 950\), \(r = 0.06\), \(n = 4\), and \(t = 3\).

Step 2 :Calculate the future value using the compound interest formula: \(A = P \times (1 + \frac{r}{n})^{n \times t}\).

Step 3 :Round the result to the nearest cent to get the final amount \(A\).

Step 4 :The final amount in the account after 3 years will be \$1135.84. So, \(A = \$1135.84\).

Step 5 :\(\boxed{A = \$1135.84}\)

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Source: https://solvelyapp.com/problems/2LRuF219ba/

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