A person plans to invest three times as much in an a.) Artisan International fund at 10% annual interest as in a b.) SEI Large Cap Index fund at 16% annual interest. How much will the person have to invest in each fund to earn a total of $1840 in one year?

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the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).

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