To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expressi

on 7.5x – 100, where x represents the number of items sold. The company’s operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit?
The inequality that will determine the number of items that need to be sold to make a profit is 7.5x-100> 79.86 + 5.8x

The solution to the inequality is: X>11.85 X<105.8 X>105.8

The inequality that will determine the number of items that need to be sold to make a profit is: 12 100 106

Mathematics

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0.027%. A bank promotes an APR of 5.5% for personal loans. To address this problem, we will utilize the Annual Percentage Yield formula. In this formula, r signifies the interest rate in decimal form, and n represents the number of compounding periods per year. First, we convert the interest rate into decimal format. Next, we will calculate APY while compounding monthly using n = 12 and r = 0.055 within the APY formula. We proceed to do the same for quarterly compounding by substituting n = 4 and r = 0.055 into the APY formula. To determine the difference, we subtract the quarterly APY from the monthly APY. Therefore, the APY for monthly compounding is 0.027% higher than for quarterly compounding.

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