Use the formula A(t)=P(1+[r/n])^(n)(t) which for us looks like this:
A(t)= 3000(1+[.038/4])^(4)(9). Doing that math, you have 3000(1.405489). The product of that is $4216.47
First we should figure out the volume of the prism (ignoring the cylinder at the moment)
(base * height/2)*depth
We need to find the height of the triangle which can be done with pythagoras because this is a right angled triangle (as shown by the little square at the bottom)
12 is the hypotenuse.
√12²-10² =6.63 (rounded)
Now we have the height of the triangle and can find the volume.
12*6.63/2*15=596.7
Now we find the volume of the cylinder.
area of circle * depth
area=3.14*1.5²
3.14*2.25
7.065
7.065*15=105.975
Now we subtract the volume of the cylinder from the volume of the prism and you have:
596.7-105.975
490.725 which is your answer
Hope this helps :)
Step-by-step explanation:
To get the inverse, swap the x- and y-variables, then solve for y. We should have the equation:
Solving for y:
because or
So on interchanging the variable, we get the equation:
Volume of sphere = 4/3 πr³
V = 4/3 * 3.14 * (10)³
V = 4.186 * 1000
V = 4186 in³
So, your final answer is 4186 in³
Hope this helps!
Y directly proportional to X
Y=kX ( k =constant)
30=6k
k=30/6
k=5
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