Patrick has successfully invested in a growing tech company. three years ago he invested $10,000 in the company through a broker. now he has decided to sell his stock. the value of his stock is now at $17,000. here are the taxes and fees associated with his investment: annual brokerage fee: $25 state tax: 5% of profit federal tax: 25% of profit inflation rate: 1% per year the state tax patrick must pay on the initial profit is . the federal tax he must pay on the initial profit is . the inflation on the amount remaining after taxes is . as a result, the real value of patrick’s profit is .

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.

Find the coordinates of point x that lies along the directed line segment from y(-8, 8) to t(-15, -13) and partitions the segment in the ratio of 5: 2.

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