The price of products may increase due to inflation and decrease due to depreciation. derek is studying the change in the price of two products, a and b, over time.
the price f(x), in dollars, of product a after x years is represented by the function below:
f(x) = 0.69(1.03)x
part a: is the price of product a increasing or decreasing and by what percentage per year? justify your answer. (5 points)
part b: the table below shows the price f(t), in dollars, of product b after t years:
t (number of years)
1 2 3 4
f(t) (price in dollars)
10,100 10,201 10,303.01 10,406.04
which product recorded a greater percentage change in price over the previous year? justify your answer. (5 points)

A: increasing by 3 percent each year- starting with the whole (100%) and adding 3 more

b. year 2 showed the most growth to year 3. 10303.1/10201= 1.0100088

To solve this integral, what you can do is split it up as follows: (1) ∫40(x2−4)dx=∫40(x2)dx−∫40(4)dx. to integrate  4  as an  indefinite integral, a good rule of thumb is  by  an equation below  for  polynomials; . (2) ∫xa=xa+1a+1+c , where a is any number. c denotes some constant that is crucial when doing 

You need to figure out at which x-value does the graph has a tangent line slope of -1.remember, the derivative is the slope of the tangent line. so find the derivative function and set it to equal -1 to find the x-value that will have a tangent line slope of 0.differentiate with the chain rule.    set the derivative to equal -1 and solve for x.      take log base 10 of both sides. also recall that  .    so the x-coord of the point of tangency is .the y-coordinate of this point of tangency can be calculated using the original function:     using point-slope form, the equation of the tangent line is      the x-intercept of this tangent line is when the graph is at y=0.    this rounds off to  .choice c.