Find $$ A $$ in the equation below $$ A=13000\left(1+\frac{0.04-3}{2}\right)^{12} $$

Question

UpStudy AI · Accepted Answer

Let's evaluate the equation step by step:

$$
A = 13000 \left(1 + \frac{0.04 - 3}{2}\right)^{12}
$$

1. **Simplify Inside the Parentheses:**

$$
   \frac{0.04 - 3}{2} = \frac{-2.96}{2} = -1.48
   $$

So, the equation becomes:

$$
   A = 13000 \left(1 - 1.48\right)^{12}
   $$

2. **Calculate the Base:**

$$
   1 - 1.48 = -0.48
   $$
   
   Since the exponent is even, $$(-0.48)^{12}$$ is the same as $$0.48^{12}$$.

3. **Compute $$0.48^{12}$$:**

$$
   0.48^{12} \approx 0.000149 \quad (\text{using a calculator})
   $$

4. **Multiply by 13000:**

$$
   A = 13000 \times 0.000149 \approx 1.93
   $$

**Final Answer:**

$$
A \approx \$1.93
$$
$$ A \approx \$1.93 $$

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