An aluminum alloy rod has a length of 6.3243 cm at 16.00°c and a length of 6.3568 cm at the boiling point of water. (a) what is the length of the rod at the freezing point of water? (b) what is the temperature if the length of the rod is 6.3689 cm?

a)

b

Explanation:

Given :

Let be the coefficient of linear thermal expansion of aluminium alloy

When the temperate of the rod is increased then its length will be changed accordingly. Let be its length at freezing point of water at T=

According to question we have

a)

Solving above two equations we get

b) Let be the temperature of the rod when its length is 6.3689 m then we have

Also we have

Solving above two equations we have

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