The following table shows the assets and liabilities of the Smith family in 2005 and 2009. 2005 2009 home valued at $200,000 home valued at $180,000 mortgage of $30,000 home equity loan of $18,000 car valued at $25,000 car valued at $18,000 car loan of $8,000 boat valued at $20,000 personal loan of $5,000 Based on the table, which of the following is true? a. From 2005 to 2009, both assets and liabilities decreased. b. From 2005 to 2009, both assets and liabilities increased. c. From 2005 to 2009, assets decreased and liabilities increased. d. From 2005 to 2009, assets increased and liabilities decreased.

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

hey there : ) your answer would be a.

step-by-step explanation: