Questions: [1 + (21 × 0.02) / -(1+0.03)^(-7)]

Solution Steps

To solve the given mathematical expression, we need to evaluate it step by step. First, calculate the multiplication inside the brackets. Then, compute the power and the negative sign in the denominator. Finally, perform the division and any remaining operations.

The numerator of the expression is calculated as follows: \[ 21 \times 0.02 = 0.42 \]

The denominator involves calculating the expression \(-(1 + 0.03)^{-7}\): \[ 1 + 0.03 = 1.03 \] Then, raising it to the power of \(-7\): \[ (1.03)^{-7} \approx 0.8131 \] Thus, the denominator becomes: \[ -(1.03)^{-7} \approx -0.8131 \]

Now, we divide the numerator by the denominator: \[ \frac{0.42}{-0.8131} \approx -0.5165 \]

Final Answer