Simplify the given expression. \((4-2)^{2}-(7-2)^{3}\)

Explanation

\(2^{2}-5^{3}=4-125=-121\)

Given f(x) = \(-3x^{2} + 4x + 1\), evaluate f(2).

In Napa Valley, California, 1 acre of good wine land can produce some 3.5 tons of high-quality grapes. When the average price is \(\$3,414\) for premium cabernet per ton, what would be the amount of money that could be generated on 1 acre of premium cabernet farming?

John buys 100 shares of stock at \(\$100\) per share. The price goes up by 10% and he sells 50 shares. Then, prices drop by 10% and he sells his remaining 50 shares. How much did he get for the last 50?