The price of products may increase due to inflation and decrease due to depreciation. Marco 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) = 72(1.25)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) 65 84.5 109.85 142.81

Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

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Step-by-step explanation:

f(x) = 0.69 (1.03)^x

in other words TO THE POWER x

that would be 0.69 when x = 0 years, now

0.69 * 1.03 after one year

0.69 * 1.03 *1.03 after two years

0.69 *1.03*1.03*1.03 after 3 etc

It is getting bigger. Every year you increase by .03 x which is 3%

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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