Explore IDNLearn.com's extensive Q&A database and find the answers you need. Our platform provides prompt, accurate answers from experts ready to assist you with any question you may have.

An investment portfolio is shown below.

\begin{tabular}{|l|l|l|}
\hline \multicolumn{1}{|c|}{Investment} & Amount Invested & ROR \\
\hline Savings Account & [tex]$\$[/tex] 8,400[tex]$ & $[/tex]3.6 \%[tex]$ \\
\hline Municipal Bond & $[/tex]\[tex]$ 3,200$[/tex] & [tex]$1.8 \%$[/tex] \\
\hline Preferred Stock & [tex]$\$[/tex] 5,625[tex]$ & $[/tex]13.6 \%[tex]$ \\
\hline Common Stock & $[/tex]\[tex]$ 575$[/tex] & [tex]$-1.2 \%$[/tex] \\
\hline
\end{tabular}

Using technology, calculate the weighted dollar amount of the savings account.

A. [tex]$\$[/tex] 225.67[tex]$
B. $[/tex]\[tex]$ 284.90$[/tex]
C. [tex]$\$[/tex] 302.40[tex]$
D. $[/tex]\[tex]$ 394.40$[/tex]


Sagot :

To determine the weighted dollar amount for the savings account in the given investment portfolio, here are the detailed steps:

1. Identify the amount invested in the savings account and its rate of return (ROR).
- Amount invested in the savings account: [tex]$8,400. - Rate of return for the savings account: 3.6%. 2. Convert the rate of return from a percentage to a decimal by dividing it by 100. - 3.6% = 3.6 / 100 = 0.036. 3. Calculate the weighted dollar amount by multiplying the amount invested by the rate of return. - Weighted dollar amount = Amount invested * Rate of return. - Weighted dollar amount = $[/tex]8,400 * 0.036.

4. Compute the result:
- Weighted dollar amount = [tex]$302.40. Therefore, the weighted dollar amount of the savings account is $[/tex]302.40, which matches the option:
[tex]\(\$ 302.40\)[/tex].