The formula for exponential decay is
where a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 . 2018-2012 = 6 years)
<span>y </span>≈ <span>13351.62</span>
Answer:
11
Step-by-step explanation:
The distance that a is to b is b-a=17-2=15.
The line segment from a=2 to b=17 has length 15.
We need to know what is 3/5 of 15.
3/5 of 15 means what is 3/5 times 15?
(3/5)(15)=3(3)=9
So this means we are looking to make a line segment that is 9 units from 2 which is 2 to 11.
So 11 is 3/5 the way from a=2 to b=17.
Let's check from 2 to 11 that is a length of 9 and from 2 to 17 that is a length of 15.
Is 9/15 equal to 3/5?
Yes, 9/15 can be reduced to 3/5.
The equation of the straight line is y=mx+q where q is the number on the y-axis where the line passes, as you can see it is -3. It turns into:
y=mx+(-3) -> y=mx-3
Then consider a point on the line and take the coordinates, such as the point with coordinates (-2;-4), so now you know that:
x=-2 and y=-4
At this point you put these values into the equation:
y=mx-3
-4=m(-2)-3
then solve:
-4=-2m-3
-2m=+3-4
-2m=-1
m=+1/2
Put the value of m into the equation and you found it:
y=1/2x-3
Fish tank A
V = Ah = 25 ft^2 * 8 ft = 200 ft^3
Fish tank B
V = Ah = 40 ft^2 * 4 ft = 160 ft^3
The volume of fish tank A is 200 ft^3, and the volume of fish tank B is 160 ft^3, so fish tank A has a greater volume. Its volume is greater by 40 ft^3.
Answer:
Step-by-step explanation:
Givens
The triangle is equilateral. Given
<K = < M = 60 Property of an equilateral triangle.
IE = IE Reflexive property
Proof
- <IEK = <IEM = 90 Property of perpendicular
- <EIK = 180 - 60 - 90 All triangles have 180 degrees
- <EIK = 30 Subtraction
- <MIK = 180 - 60 - 90 All triangles have 180 degrees
- <MIK = 30 Subtraction
- <MIE = <KIE Both = 30 degrees
- IE = IE Reflexive property
- <IEK = <MEI Both are right angles.
- ΔMIK ≡ΔKIE ASA
