Answer:
$102
Step-by-step explanation:
We need to build a system of equations for this question.
I am going to call x the value Lawson will pay to Expert Card, y the value he will pay to passport and z the value he will pay to US Speedy.
He will pay $612 in all, so x+y+z = 612.
He will pay 5 times as much to Expert Card as US Speedy, so x = 5z.
The passport payment will be only 20% of the total of the other two payments. So y = 0.2(x+z).
Now we have the following system of equations:
1)x+y+z = 612
2)x = 5z
3)y = 0.2(x+z)
And we need to find y.
I will put 2) and 3) at 1). We end up with:
5z + 0.2(5z+z)+z = 612
5z + 1.2z + z = 612
7.2z = 612
z = $85
Knowing z, now we can find y at 3)
y = 0.2(x+z)
y = 0.2(5z+z)
y = 1.2z
y = 1.2(85)
y = $102
Lawson will pay $102 towards the passport credit balance.
The correct answer to your question is no solution
<em>200.96 cm^3</em>
Step-by-step explanation:
The equation for the volume of a cone is...
Since we are using 4 for the radius we can plug that in, along with 12 for the height and 3.14 for pi.
So the equation with everything plugged in will be...
Now we can solve.
The volume of the cone is...
<em><u>200.96 cm^3</u></em>
