Answer:
The policy pay $47200 .
Step-by-step explanation:
As given
An insurance policy pays 80% of the first $20,000 of a patient's medical expenses, and 60% of the remainder.
80% is written in the decimal form.

= 0.80
Medical expenses pay by the insurance policy on first $20000 = 0.80 × 20000
= $16000
As given
Insurance policy pays 60% of the remainder.
The patient's total medical bill is $72,000.
Patient medical bill over $20000 = $72000 - $20000
=$52000
60% is written in the decimal form.

= 0.60
Medical expenses pay by the insurance policy on the remainder = 0.60 × $52000
= $31200
Total Medical expenses pay by the insurance policy = Medical expenses pay by the insurance policy on first $20000 + Medical expenses pay by the insurance policy on the remainder .
Total Medical expenses pay by the insurance policy = $16000 + $31200
= $47200
Therefore the policy pay $47200 .
The derivative of the function is 2x/(3+x²).
<h3>What is Derivative?</h3>
The derivative is the instantaneous rate of change of a function with respect to one of its variables.
Given function:
y= ln(3+x²)
Differentiating and applying chain rule
=1/(3+x²) d/dx(3+x²)
=1/(3+x²) (2x)
= 2x/(3+x²)
Hence, the derivative of the function is 2x/(3+x²).
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Answer:(1,-4)
Step-by-step explanation:
You can try finding the roots of the given quadratic equation to get to the solution of the equation.
There are two solutions to the given quadratic equation

<h3>How to find the roots of a quadratic equation?</h3>
Suppose that the given quadratic equation is 
Then its roots are given as:

<h3>How to find the solution to the given equation?</h3>
First we will convert it in the aforesaid standard form.

Thus, we have
a = 1. b = -114, c = 23
Using the formula for getting the roots of a quadratic equation,

Thus, there are two solutions to the given quadratic equation

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