An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $1300 and her stock in Company B was worth $6220. The stock in Company A has decreased 17% since last year and the stock in Company B has decreased 25%. 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  $1300 and her stock in Company B was worth  $6220. The stock in Company A has decreased  17% since last year and the stock in Company B has decreased  25%. 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 in Company A's stock: Calculate the decrease in value for Company A's stock. Original value of Company A's stock: $1300 Percentage decrease: 17% Decrease in value = Original value × Percentage decrease Decrease in value = $1300 × 0.17 Decrease in value = $221Calculate new value for Company A's stock: Calculate the new value of Company A's stock after the decrease. New value of Company A's stock = Original value - Decrease in value New value of Company A's stock = $1300 - $221 New value of Company A's stock = $1079Calculate decrease in Company B's stock: Calculate the decrease in value for Company B's stock. Original value of Company B's stock: $6220 Percentage decrease: 25% Decrease in value = Original value × Percentage decrease Decrease in value = $6220 × 0.25 Decrease in value = $1555Calculate new value for Company B's stock: Calculate the new value of Company B's stock after the decrease. New value of Company B's stock = Original value - Decrease in value New value of Company B's stock = $6220 - $1555 New value of Company B's stock = $4665Calculate total original value: Calculate the total original value of the investor's stock account. Total original value = Value of Company A's stock + Value of Company B's stock Total original value = $1300 + $6220 Total original value = $7520Calculate total new value: Calculate the total new value of the investor's stock account. Total new value = New value of Company A's stock + New value of Company B's stock Total new value = $1079 + $4665 Total new value = $5744Calculate total decrease in value: Calculate the total decrease in value of the investor's stock account. Total decrease in value = Total original value - Total new value Total decrease in value = $7520 - $5744 Total decrease in value = $1776Calculate 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 = ($1776 / $7520) × 100% Total percentage decrease = 0.23617021276595744 × 100% Total percentage decrease = 23.617021276595744% Round to the nearest tenth. Total percentage decrease ≈ 23.6%

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