Answer:
5000
Step-by-step explanation:
Given the question :
The size of debt after m months is respresented by the expression :
36,700 - (5000 + 500m)
Since Michael has decided to dedicate the entirety of his signing bonus towards paying his debt, then that is a constant and one-off payment.
Also, a fixed portion of his salary each month has also been assigned towards paying off his debt,
Then the amount paid from his salary after a certain number of months will be:
Fixed amount × number of months = 500 × m
Amount paid using signing bonus will be a constant = 5000
Total debt amount = 36,700
Size of debt left after m months :
Total debt - ( signing bonus - fixed amount × m)
Hence signing bonus = 5000
Volume:

<h2>
Explanation:</h2>
A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

So:

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

And the height of the cylinder is:

So:

The volume of a hemisphere is half the volume of a sphere, hence:

Finally, the volume of the composite figure is:

<h2>Learn more:</h2>
Volume of cone: brainly.com/question/4383003
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The supplement of 61 degree is 119 degrees
180-61=119