Answers to: Write an essay about A store has sales of $500 in their first month. If sales increase at a rate of $10 each month, they can be modeled by this equation: es002-1.jpg Use summation notation to model and evaluate th

The given problem states that a store had sales of $500 in their first month and the sales increase by $10 each month. The sales for n months can be represented by the following equation:S(n) = 500 + 10(n-1)where n is the number of months since the first month of sales.To model the total sales over the first ten years, we need to find the sum of sales for all the months from the first month to the 120th month. We can use the summation notation to represent this sum as follows:∑S(n) = S(1) + S(2) + S(3) + ... + S(120)where n ranges from 1 to 120.Substituting the value of S(n) from the equation, we get:∑S(n) = (500 + 10(0)) + (500 + 10(1)) + (500 + 10(2)) + ... + (500 + 10(119))Simplifying the equation, we get:∑S(n) = 500*120 + 10*(0+1+2+...+119)We can evaluate the sum (0+1+2+...+119) using the formula for the sum of an arithmetic sequence:Sn = n/2 * (a1 + an)where Sn is the sum of the first n terms, a1 is the first term, and an is the nth term.In this case, n = 120, a1 = 0, and an = 119...