An audio speaker producing a steady sound at an outdoor concert is 20 ft away from you. If you move to a position where the speaker is 62 ft distant, by what factor will the amplitude of the sound change

The factor by which the amplitude would change is  k = 0.336

Explanation:

From the question we are told that

   The distance away from the observer is  

    The new position of the observer is  

Generally amplitude is inversely proportional to distance

Let A denote the amplitude of the sound at d

So  

Now the amplitude at a distance 62 ft from the speaker can be mathematically represented as

 substituting values

so the factor by which the amplitude would change is  k = 0.336

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

i don't understand is there any other way you can rephrase it plz let me know in the comments and i will do it.

explanation: