Answer: $70 per year.
Step-by-step explanation:
Let's say that x is the number of years that has passed and y is how much the stamp is worth.
So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates (0,420) .
Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)
To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.
420 - 980 = -560
0-8 = -8
-560/-8 = 70
The rate of change is 70 which means that it grew by $70 every year.
Option b: 10 in, 18.5 in, 31.5 in.
Explanation:
The three sides of a triangle are 
and 
The perimeter of the triangle is 
.
Since, Perimeter = all sides of the triangle
Let us add all the three sides to determine the length of each side.
Substituting the value of Perimeter and simplifying, we get,
Substituting 
in the three sides of the triangle and , we get,
Thus, the lengths of each side are 10 in, 18.5 in, 31.5 in.
Answer:
Since the volume of the cone is bigger than the volume of the scoop, it won't spill.
Step-by-step explanation:
In order to calculate if the ice cream will spill we will need to calculate the volume on the ice cream scoop and the volume of the cone. If the volume of the scoop is bigger than the cone it will spill.
volume scoop = (4/3)*pi*r³ = (4/3)*pi*(2/2)³ = 4.1888 in³
volume cone = (pi*r²*h)/3 = [pi*(2/2)²*5]/3 = 5.236 in³
Since the volume of the cone is bigger than the volume of the scoop, it won't spill.
Answer:
-1>x
Step-by-step explanation:
-5x - 15 > 10 + 20x
Add 5x to each side
-5x+5x - 15 > 10 + 20x+5x
-15> 10+25x
Subtract 10 from each side
-10 - 15 > 10-10 + 25x
-25> 25x
Divide each side by 25
-25/25> 25x/25
-1>x
