The formula for exponential growth is y=a(1+r)
. Where a is the initial value when time is 0 (100 in this case). r is the growth rate, we can see that the growth is 10%. And x is how much time has passed, we want to find out how many trucks after 9 years.
So we would plug the values in to get y=100(1+.1)
. Solving this gives us 235.79, so we would round up to 236, and our answer would be 236 trucks registered in the city in year 9.
Edit: The x and the 9 are exponents, the formatting made them look a bit weird.
Answer:
Raul's claims are not correct
The equation of the graph is 
Step-by-step explanation:
Part a)
we know that
The fact that the data form a straight line does not imply that it is a proportional relationship. In order for it to be a proportional relationship, in addition to the fact that a straight line must be formed, it must pass through the origin.
In this problem the graph shows a proportional relationship because the data forms a straight line and passes through the origin (0,0)
therefore
The claim that the graph shows a proportional relationship because the data forms a straight line is not correct
Part B)
<u>Find the slope of the straight line</u>
Let
The formula to calculate the slope between two points is equal to
substitute the values
therefore
The claim that he reads 1.5 pages per minute is not correct
Part C)
The equation of the graph is equal to
Answer:
the answer is 44 because when you subtract with questions like these always subtract with 180
Answer:
-1-1=-1 is incorrect.
-1+1-1=-1 is correct.
Step-by-step explanation:
Add them all up and if they do not equal what is on the other side of the equal sign, then it is incorrect. If it does add up to what is on the other side of the equal sign, then it is correct.
Answer:
200π
Step-by-step explanation:
Surface area of a cone = πr(r+l)
r is the radius
l is the slant height
Volume of the cone = 1/3πr²h
320π = 1/3πr²h
320 = 1/3r²(15)
320 = 5r²
r² = 320/5
r² = 64
r = 8
l² = 15² + 8²
l² = 225 + 64
l² = 289
l = 17
Get the surface area;
S = πr(r+l)
S = π8(8+17)
S = π*8*25
S = 200π
Hence the surface area of the cone is 200π
