An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $4220 and her stock in Company B was worth $1500. The stock in Company A has increased 5% since last year and the stock in Company B has increased 8%. What was the total percentage increase 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  $4220 and her stock in Company B was worth  $1500. The stock in Company A has increased 5% since last year and the stock in Company B has increased  8%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary). Answer:

Bytelearn · Accepted Answer

Calculate Company A Stock Increase: Calculate the new value of the investor's stock in Company A after a 5% increase. Original value of Company A stock: $4220 Percentage increase: 5% New value = Original value + (Original value * Percentage increase) New value = $4220 + ($4220 * 0.05) New value = $4220 + $211 New value = $4431Calculate Company B Stock Increase: Calculate the new value of the investor's stock in Company B after an 8% increase. Original value of Company B stock: $1500 Percentage increase: 8% New value = Original value + (Original value * Percentage increase) New value = $1500 + ($1500 * 0.08) New value = $1500 + $120 New value = $1620Calculate Total Stock Value Last Year: Calculate the total value of the investor's stock last year. Total value last year = Value of Company A stock last year + Value of Company B stock last year Total value last year = $4220 + $1500 Total value last year = $5720Calculate Total Stock Value This Year: Calculate the total value of the investor's stock this year. Total value this year = New value of Company A stock + New value of Company B stock Total value this year = $4431 + $1620 Total value this year = $6051Calculate Total Stock Increase: Calculate the total increase in the investor's stock account. Total increase = Total value this year - Total value last year Total increase = $6051 - $5720 Total increase = $331Calculate Total Percentage Increase: Calculate the total percentage increase in the investor's stock account. Total percentage increase = (Total increase / Total value last year) * 100% Total percentage increase = ($331 / $5720) * 100% Total percentage increase ≈ 5.79% Round to the nearest tenth: 5.8%

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