An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $7440 and her stock in Company B was worth $4110. The stock in Company A has decreased 10% since last year and the stock in Company B has decreased 20%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary). Answer:

Question

An investor has an account with stock from two different companies. Last year, her stock in Company A was worth  $7440 and her stock in Company B was worth  $4110. The stock in Company A has decreased 10% since last year and the stock in Company B has decreased  20%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary). Answer:

Bytelearn · Accepted Answer

Calculate Decrease Company A: Calculate the decrease in value for the stock in Company A. Original value of Company A stock: $7440 Percentage decrease: 10% Decrease in value = Original value × Percentage decrease Decrease in value = $7440 × 0.10 Decrease in value = $744Calculate New Value Company A: Calculate the new value of the stock in Company A after the decrease. New value of Company A stock = Original value - Decrease in value New value of Company A stock = $7440 - $744 New value of Company A stock = $6696Calculate Decrease Company B: Calculate the decrease in value for the stock in Company B. Original value of Company B stock: $4110 Percentage decrease: 20% Decrease in value = Original value × Percentage decrease Decrease in value = $4110 × 0.20 Decrease in value = $822Calculate New Value Company B: Calculate the new value of the stock in Company B after the decrease. New value of Company B stock = Original value - Decrease in value New value of Company B stock = $4110 - $822 New value of Company B stock = $3288Calculate Total Original Value: Calculate the total original value of the investor's stock account. Total original value = Value of Company A stock + Value of Company B stock Total original value = $7440 + $4110 Total original value = $11550Calculate Total New Value: Calculate the total new value of the investor's stock account. Total new value = New value of Company A stock + New value of Company B stock Total new value = $6696 + $3288 Total new value = $9984Calculate Total Decrease: Calculate the total decrease in value for the investor's stock account. Total decrease in value = Total original value - Total new value Total decrease in value = $11550 - $9984 Total decrease in value = $1566Calculate Total Percentage Decrease: Calculate the total percentage decrease in the investor's stock account. Total percentage decrease = (Total decrease in value / Total original value) × 100% Total percentage decrease = ($1566 / $11550) × 100% Total percentage decrease = 0.1355 × 100% Total percentage decrease = 13.55%Round Percentage Decrease: Round the total percentage decrease to the nearest tenth. Rounded total percentage decrease = 13.6%

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