Question

mol, or int l f for a loss of \( \$ 1 \% 0 \). What is her expected frele? The anteque jowely deakor wixpocted brot is eotan. (type an intoger or a decime Round to tie noscoit doliy a maded)

Answer 1

The expected value for the antique jewelry decorator, considering a loss of $10%, is $9,000.

Step-by-step explanation:

To find the expected value, we utilize the formula
`\( \text{{Expected Value}} = \text{{Original Value}} * (1 - \text{{Loss Percentage}}) \)`. In this case, the original value is denoted by
`\( X \)`, and the loss percentage is 10%, or 0.10. The equation becomes
`\( X * (1 - 0.10) = \$9,000 \).`

Solving for
`\( X \)`, we have
`\( 0.90X = \$9,000 \)`. To isolate
`\( X \)`, we divide both sides by 0.90, yielding
`\( X = (\$9,000)/(0.90) = \$10,000 \)`. This is the original expected profit before any loss.

However, with the 10% loss considered, we calculate the actual expected value by subtracting the loss from the original expected profit:
`\( \$10,000 - (0.10 * \$10,000) = \$9,000 \).`

In summary, the detailed calculation involves finding the original expected profit and then adjusting for the specified loss percentage, resulting in a final expected value of $9,000 for the antique jewelry decorator.