The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. if a beam one third 1/3 foot wide, one half 1/2 foot high, and 15 feet long can support 30 tons, find how much a similar beam can support if the beam is one half 1/2 foot wide, one third 1/3 foot high, and 15 feet long?

13.33 tons

Explanation:

Given

Weight of a material varies as

 (width)

 (height)

 (length)

Dimension of first beam

foot

foot

foot

Weight supported

Second beam

let weight of second beam be

taking both beams at the same time

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50