To calculate the weighted dollar amount of Stock C, we need to follow these steps:
1. Identify the amount invested in Stock C, which is \[tex]$580.
2. Identify the rate of return (ROR) for Stock C, which is 12.9%.
The weighted dollar amount is found by multiplying the amount invested by the ROR (expressed as a decimal).
\[ \text{ROR in decimal} = 12.9\% = \frac{12.9}{100} = 0.129 \]
Next, multiply the investment amount by the ROR in decimal form:
\[ \text{Weighted dollar amount} = \$[/tex]580 \times 0.129 \]
Carrying out this multiplication:
[tex]\[ \$580 \times 0.129 = \$74.82 \][/tex]
Therefore, the weighted dollar amount of Stock C is [tex]\(\$ 74.82\)[/tex].
Thus, the correct answer is:
[tex]\(\$ 74.82\)[/tex]