Answer:
about 78 years
Step-by-step explanation:
Population
y =ab^t where a is the initial population and b is 1+the percent of increase
t is in years
y = 2000000(1+.04)^t
y = 2000000(1.04)^t
Food
y = a+bt where a is the initial population and b is constant increase
t is in years
b = .5 million = 500000
y = 4000000 +500000t
We need to set these equal and solve for t to determine when food shortage will occur
2000000(1.04)^t= 4000000 +500000t
Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.
t≈78 years
<span><span><span><span>4x = 16</span><span>log 4x = log 16</span> </span><span>Take the common logarithm of both sides. (Remember, when no base is written, that means the base is 10.) What can you do with that new equation?</span></span><span> <span><span>log 4x = log 16</span>x<span> log 4 = log 16</span></span>Use the power property of logarithms to simplify the logarithm on the left side of the equation.</span><span> <span>x<span> log 4 = log 16</span></span><span>Remember that log 4 is a number. You can divide both sides of the equation by log 4 to get x by itself.</span></span><span>Answer<span>Use a calculator to evaluate the logarithms and the quotient.</span></span></span>
Answer: 
Step-by-step explanation:
Given
The recipe calls for 2 Pounds of ground pork and 3.5 pounds of ground beef
Suppose x is the cost of ground pork
So, the cost of ground beef is 
The total cost of meat is 
The total cost can also be written as
So, the cost of ground pork is
Answer:
B) -1
Step-by-step explanation:
This is the equation of a parabola which can be expressed as
y = a(x-h)² + k (1)
where (h, k) are the coordinates of the vertex which is the minimum or maximum of the graph. Strict definition is where the parabola intersects the line of symmetry ie the line which cuts a shape into half
Parabolas are symmetric around the line of symmetry
Here we see the vertex is at x = 0, y = 9 (0,9) so h=0 and k = 9
Substituting equation (1) we get
y = a(x -0)² + 9 = ax² + 9
To find a all we have to do is choose any point on the parabola, plug its x and y values into the parabola equation above
A convenient point is where the parabola intersects the positive x axis. Here x = 3 and y = 0
Plugging these values we get
0 = a(3)² + 9
a = -9/9 = -1
Don't take my word completely, but my answer I believe is letter C. I just drew a graph and wrote it all down. I got C.
