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Question
an investment firm invested in two companies last year. they invested $8000 in company a and made a profit of 11%. they invested $24,000 in company b and made a profit of 13%.
answer the questions below. do not do any rounding.
(a) what was the investment firms total profit?
$
(b) what was the percent profit for their total investment?
%
Step1: Calculate profit from Company A
Profit = $8000 \times 11\% = 8000 \times 0.11 = 880$
Step2: Calculate profit from Company B
Profit = $24000 \times 13\% = 24000 \times 0.13 = 3120$
Step3: Find total profit
Total Profit = $880 + 3120 = 4000$
Step4: Calculate total investment
Total Investment = $8000 + 24000 = 32000$
Step5: Find percent profit for total investment
Percent Profit = $\frac{\text{Total Profit}}{\text{Total Investment}} \times 100\% = \frac{4000}{32000} \times 100\% = 12.5\%$
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(a) $\$4000$
(b) $12.5\%$