Your dad buys a rare guitar in 2015 for $10,000. Experts estimate that its value will increase 12% per year. Write an equation to model the situation. Then use the given graph of your function to predict approximately how many years it will take for the initial value to double.

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is (cxd)(x)

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Which exponential function has an initial value of 2? f(x) = 2(3x) f(x) = 3(2x)