An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $7000 and his stock in Company B was worth $3750. The stock in Company A has increased 2% since last year and the stock in Company B has increased 4%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).Answer:
Q. An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $7000 and his stock in Company B was worth $3750. The stock in Company A has increased 2% since last year and the stock in Company B has increased 4%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).Answer:
Calculate Company A Stock Increase: Calculate the new value of the investor's stock in Company A after a 2\% increase.Original value of Company A stock: $7000Percentage increase: 2%New value = Original value + (Original value \times Percentage increase)New value = $7000 + ($7000 \times 0.02)New value = $7000 + $140New value = $7140
Calculate Company B Stock Increase: Calculate the new value of the investor's stock in Company B after a 4\% increase.Original value of Company B stock: $3750Percentage increase: 4%New value = Original value + (Original value \times Percentage increase)New value = $3750 + ($3750 \times 0.04)New value = $3750 + $150New value = $3900
Calculate 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 yearTotal value last year = $7000 + $3750Total value last year = $10750
Calculate 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 stockTotal value this year = $7140 + $3900Total value this year = $11040
Calculate Total Stock Increase: Calculate the total increase in the investor's stock account.Total increase = Total value this year - Total value last yearTotal increase = $11040 - $10750Total increase = $290
Calculate 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 = ($290/$10750)×100%Total percentage increase \approx 2.7\%
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