The figure shows two waves traveling in the positive x direction. The amplitude of the resultant wave is

a. 2.0 mm
b. 1.8 mm
c.1.4 mm
d. 1.0 mm
e. 0.83 mm

Answer c.  1.4 mm

Explanation:

Notice that the addition of these two waves are equivalent to adding a sine wave plus a sine wave shifted by pi/2.

The maximum of such addition will come from twice the y value of the two functions at the point of intersect that takes place at about one grid unit to the right of the vertical axis. That intersection reads about 0.7 mm for the y value (which corresponds to an x of about pi/4)

Then, the addition of both y-values will give an amplitude of 1.4 mm

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