An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $3180 and her stock in Company B was worth $940. The stock in Company A has increased 20% since last year and the stock in Company B has increased 15%. 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  $3180 and her stock in Company B was worth  $940. The stock in Company A has increased 20% since last year and the stock in Company  B has increased  15%. 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 Stock Value Increase: Calculate the new value of the investor's stock in Company A after a 20% increase. Original value of stock in Company A: $3180 Percentage increase: 20% New value = Original value + (Percentage increase × Original value) New value = $3180 + (0.20 × $3180) New value = $3180 + $636 New value = $3816Calculate Total Stock Value Last Year: Calculate the new value of the investor's stock in Company B after a 15% increase. Original value of stock in Company B: $940 Percentage increase: 15% New value = Original value + (Percentage increase × Original value) New value = $940 + (0.15 × $940) New value = $940 + $141 New value = $1081Calculate Total Stock Value This Year: Calculate the total value of the investor's stock last year. Total value last year = Value of stock in Company A + Value of stock in Company B Total value last year = $3180 + $940 Total value last year = $4120Calculate Total Increase: Calculate the total value of the investor's stock this year. Total value this year = New value of stock in Company A + New value of stock in Company B Total value this year = $3816 + $1081 Total value this year = $4897Calculate Total Percentage Increase: Calculate the total increase in the investor's stock account. Total increase = Total value this year - Total value last year Total increase = $4897 - $4120 Total increase = $777Calculate the total percentage increase in the investor's stock account. Total percentage increase = (Total increase / Total value last year) × 100% Total percentage increase = ($777 / $4120) × 100% Total percentage increase = 0.1885 × 100% Total percentage increase = 18.85% Round to the nearest tenth: 18.9%

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