Alex gets paid $2.25 a tree for tree planting up north. In one week, he planted 437 trees. What is his wage?
1 answer:
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Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
4s + 5 = 19
First, subtract 5 from both sides. / Your problem should look like: 4s = 19 - 5.
Second, simplify 19 - 5 to 14. / Your problem should look like: 4s = 14.
Third, divide both sides by 4. / Your problem should look like: s =
.
Fourth, simplify to 
. / Your problem should look like: s = which is the answer.
First, subtract 5 from both sides. / Your problem should look like: 4s = 19 - 5.
Second, simplify 19 - 5 to 14. / Your problem should look like: 4s = 14.
Third, divide both sides by 4. / Your problem should look like: s =
Fourth, simplify