Answer:
It'd take 0.93 years to obtain that value.
Step-by-step explanation:
Since we were given the initial amount and the interest rate, we wish to know the time to earn 900 from those values. So we can isolate the variable we wish to find, in this case it's the time t.
prt = x
t = x/pr
Now we can apply the values that were given to us:
t = 900/(0.046*21000) = 900/966 = 0.93
It'd take 0.93 years to obtain that value.
Answer:
The system of equations that models the problem is:

Step-by-step explanation:
A system of equations is a set of two or more equations with several unknowns in which we want to find a common solution. So, a system of linear equations is a set of (linear) equations that have more than one unknown that appear in several of the equations. The equations relate these variables or unknowns to each other.
In this case, the unknown variables are:
- H: price of a can of corn beef hash
- C: price of a can of creamed chipped beef
Knowing the unit price of a product, the price of a certain quantity of that product is calculated by multiplying that quantity by the unit price. So the price for 2 cans of ground beef hash can be calculated as 2 * H and the price for 3 cans of ground beef with cream can be calculated as 3 * C. Jan paid $ 4.95 for those amounts from both cans. This means that the sum of the can prices must be $ 4.95. So: <u><em>2*H + 3*C= 4.95 Equation (A)</em></u>
Thinking similarly, if Wayne bought 3 cans of corn beef hash and 2 cans of creamed chipped beef for $5.45, Wayne's buy can be expressed by the equation:
<u><em>3*H + 2*C= 5.45 Equation (B)</em></u>
Finally, <u><em>the system of equations that models the problem is:</em></u>
<u><em></em></u>
<u><em></em></u>
Answer:115.4685yd^3
Step-by-step explanation:
Volume of cone=1/3πr2h
V=1/3×3.142×3.5yd×3.5yd×9yd
V=115.4685yd^3
<h3>
Answer: 36pi (choice b)</h3>
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Explanation:
Let x = length of side BC
This is the height of the cylinder. Think of a can that is laying on its side. The radius of this can or cylinder is CD
If point B has x coordinate of 12, and BC is 12 units long, this must mean point C has x coordinate of 12-x. This is plugged into the function to show that CD has a length of exactly 
This is the radius of the cylinder
The volume of a cylinder is 
Plug in the radius and height mentioned to get this function in terms of x

That simplifies to

or

Ignore the pi portion for now.
We wish to maximize the function f(x) = 12x-x^2
Use either calculus (specifically derivatives) or a graphing calculator to find that the vertex is at (6, 36)
This means x = 6 leads to the largest f(x) value being 36.
Therefore, the volume V is maxed out when x = 6 and we get a max volume of 36pi cubic units.
Answer:
2500+6% per year for 3 years would be 2950.