answer:The characteristic polynomial p(x) of a 2x2 matrix left( begin{array}{cc} a & b c & d end{array} right) is given by p(x) = (x - a)(x - d) - bc. Applying this formula to the given matrix, where a = frac{7}{8}, b = frac{59}{8}, c = frac{9}{2}, and d = -frac{11}{8}, we get: p(x) = left(x - frac{7}{8}right)left(x + frac{11}{8}right) - left(frac{59}{8}right)left(frac{9}{2}right) p(x) = x^2 - frac{7}{8}x + frac{11}{8}x - frac{77}{64} - frac{531}{16} p(x) = x^2 + frac{4}{8}x - frac{2201}{64} Therefore, the characteristic polynomial is p(x) = x^2 + frac{1}{2}x - frac{2201}{64}.

answer:First, solve the second equation for (x): [x = -frac{19}{21}] Now, substitute this value of (x) into the first equation to solve for (y): begin{align*} 12left(-frac{19}{21}right) - 2y &= 11 -frac{228}{21} - 2y &= 11 -frac{228}{21} + frac{21}{21}y &= 11 end{align*} To clear the fraction, multiply every term by 21: [-228 + 21y &= 231 21y &= 228 + 231 21y &= 459 y &= frac{459}{21} y &= 21 ] Therefore, the solution to the system is ((x, y) = left(-frac{19}{21}, 21right)).

answer:Assuming that Mexico completely stops buying US products, the percentage decrease in US exports to Mexico would be 100%. This is because the tax and halt on purchases would eliminate all demand for US goods in Mexico, resulting in a 100% drop in exports.

answer:"Cash and Cash Equivalents" is an item listed in a firm's balance sheet. It shows the value of cash and other assets that can be converted into cash within three months. This part of the balance sheet includes the most liquid assets like debt securities known as the marketable securities, cash, and bank accounts. It excludes securities with a longer maturity period and investments that are difficult to convert into cash in a short period of time. The time frame for short-term investments included in the category "Cash and Cash Equivalents" is less than three months.