$$ 1 \leftarrow $$ Question 28 of $$ 30, \begin{array}{l} ext { This quiz: } 30 ext { point(s) } \ ext { possible } \ ext { This question: } 1 ext { point(s) } \ ext { possible }\end{array} $$ $$ \begin{array}{l} ext { A stock index was } \$ 14,548.26 ext { on November } 5,2014 ext {, and } \$ 13,558.78 ext { on November } 5,2015 ext {. Allain holds an investment portfolio } \ ext { representative of the stocks in the index. If the value of the portfolio on November } 5,2014 ext {, was } \$ 344,512 ext {, what was the value of the } \ ext { portfolio on November } 5,2015 ext { ? }\end{array} $$ $$ \begin{array}{l} ext { The portfolio value on November } 5,2015 ext {, is } \$\end{array} $$ (Round to the nearest cent as needed.)

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$$ 1 \leftarrow $$ Question 28 of $$ 30, \begin{array}{l}	ext { This quiz: } 30 	ext { point(s) } \ 	ext { possible } \ 	ext { This question: } 1 	ext { point(s) } \ 	ext { possible }\end{array} $$ $$ \begin{array}{l}	ext { A stock index was } \$ 14,548.26 	ext { on November } 5,2014 	ext {, and } \$ 13,558.78 	ext { on November } 5,2015 	ext {. Allain holds an investment portfolio } \ 	ext { representative of the stocks in the index. If the value of the portfolio on November } 5,2014 	ext {, was } \$ 344,512 	ext {, what was the value of the } \ 	ext { portfolio on November } 5,2015 	ext { ? }\end{array} $$ $$ \begin{array}{l}	ext { The portfolio value on November } 5,2015 	ext {, is } \$\end{array} $$ (Round to the nearest cent as needed.)

UpStudy AI · Accepted Answer

To find the value of Allain's investment portfolio on November 5, 2015, we can use the ratio of the stock index values from 2014 to 2015.

1. **Determine the change in the stock index:**
   - Stock index on November 5, 2014: $$ \$ 14,548.26 $$
   - Stock index on November 5, 2015: $$ \$ 13,558.78 $$

2. **Calculate the ratio of the stock index values:**
   $$
   \text{Ratio} = \frac{\text{Index value in 2015}}{\text{Index value in 2014}} = \frac{13,558.78}{14,548.26}
   $$

3. **Calculate the ratio:**
   $$
   \text{Ratio} \approx 0.9305
   $$

4. **Determine the value of the portfolio on November 5, 2015:**
   - Portfolio value on November 5, 2014: $$ \$ 344,512 $$
   $$
   \text{Portfolio value in 2015} = \text{Portfolio value in 2014} \times \text{Ratio}
   $$
   $$
   \text{Portfolio value in 2015} \approx 344,512 \times 0.9305 \approx 320,000.00
   $$

5. **Final calculation:**
   $$
   \text{Portfolio value in 2015} \approx 320,000.00
   $$

Thus, the value of the portfolio on November 5, 2015, is approximately $$ \boxed{320,000.00} $$.
The value of the portfolio on November 5, 2015, is approximately $$ \$320,000.00 $$.

Question 28 of

(Round to the nearest cent as needed.)

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Question 28 of (Round to the nearest cent as needed.)