An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $4480 and his stock in Company B was worth $4600. The stock in Company A has increased 10% 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, his stock in Company A was worth  $4480 and his stock in Company B was worth  $4600. The stock in Company A has increased 10% 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 New Value Company A: Calculate the new value of the investor's stock in Company A after a 10% increase. Original value of stock in Company A: $4480 Percentage increase: 10% New value = Original value + (Percentage increase × Original value) New value = $4480 + (10% × $4480) New value = $4480 + ($4480 × 0.10) New value = $4480 + $448 New value = $4928Calculate New Value Company B: Calculate the new value of the investor's stock in Company B after an 8% increase. Original value of stock in Company B: $4600 Percentage increase: 8% New value = Original value + (Percentage increase × Original value) New value = $4600 + (8% × $4600) New value = $4600 + ($4600 × 0.08) New value = $4600 + $368 New value = $4968Calculate Total Value Last 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 = $4480 + $4600 Total value last year = $9080Calculate Total Value This Year: 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 = $4928 + $4968 Total value this year = $9896Calculate Total Increase: Calculate the total increase in value of the investor's stock. Total increase = Total value this year - Total value last year Total increase = $9896 - $9080 Total increase = $816Calculate 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 = ($816 / $9080) × 100% Total percentage increase = 0.0898 × 100% Total percentage increase = 8.98% Round to the nearest tenth: 9.0%

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