(20*16 ft^2)(144 in^2/ft^2)(tiles/(10*10 in^2)
320ft^2(144in^2/ft^2)(tiles/100in^2)=460.8 tiles
However tiles are quantized integer units so 461 tiles will be needed to tile the kitchen.
You are looking for several things when determining if a function is exponential or not.
An exponential function needs three things. A base, a power which is always a variable, and a constant.
Let me write a random exponential function and I’ll use it as an example.
f(x)=100x1.05^x
This is an exponential function because the c (constant) is 100. The c usually is about a population or object that is increasing.
The base is 1.05 which is usually a percentage increase.
Then the power which is x and this controls the time. It could be per day, year, and etc.
All of these factors contribute to the exponential function. If you have any questions ask, don’t be shy. :)
Answer:
44000
Step-by-step explanation:
Let w be the initial value of Otto's internet stock, in dollars. At the beginning of the year, the total value of his portfolio is w+10,000 dollars. At the end of the year, the total value of his portfolio is 1.1w+9,000 dollars. Since increasing by 6% is equivalent to multiplying by 1.06, we have
1.06(w+10,000)=1.1w +9,000
Distributing and collecting terms, we find w=40,000. At the end of the year, his internet stock is worth 40,000* 1.1=44,000 dollars.
*credits: AoPS
The square has area 8*8=64, the rectangle has area 7*4=28, and the triangle has area 7*6/2=21. Their sum is 64+28+21=113.
