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Brilliant_brown [7]
3 years ago
13

A medical plan requires a patient to pay a $25.00 copay plus 20% of all charges incurred for a medical procedure. If the average

bill for a patient is between $200 and $800, find the range of the original bill.
Mathematics
1 answer:
natka813 [3]3 years ago
5 0

It is stated that the total bill the patient would only pay would be the $25 plus 20% of the original bill. Therefore this would mean that:

<span>25 + 0.2 * X = 200         ---> 1</span>

<span>25 + 0.2 * X = 800         ---> 2</span>

Where X represents the original bill.

 

Calculating for X in equation 1:

25 + 0.2 * X = 200

0.2 * X = 175

X = 875

 

Calculating for X in equation 2:

25 + 0.2 * X = 800

0.2 * X = 775

X = 3875

 

Therefore the original bill ranges from $875 to $3875. The equality equation would be:

<span>$875 ≥ X ≥ $3875</span>

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What is the interest rate if the principal is $25,000, the interest is $10,875, and the time is 15 years?
mel-nik [20]

Answer:

interest rate = 2.9%

Step-by-step explanation:

the principal is $25,000, the interest is $10,875

Number of years = 15

We use simple interest formula

I = P*r*t

Where I is the interest amount=10,875

P is the principal amount= 25000

r is the interest rate = r

t is the number of years = 15

Plug in all the value in the formula

I = P*r*t

10875 = 25000 * r * 15

10875 = 375000 * r

Divide both sides by 375000

r=0.029

We always write rate of interest in percentage so we multiply by 100

0.029 * 100= 2.9%

So interest rate = 2.9%



8 0
3 years ago
Please someone help me!!!! SHOW ALL WORK! ive been stuck on this question for 2 days!! :((((((
Otrada [13]

Step-by-step explanation:

x² + y² − 8x + 10y − 8 = 0

Rearrange:

x² − 8x + y² + 10y = 8

To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.

(-8/2)² = 16

(10/2)² = 25

x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25

x² − 8x + 16 + y² + 10y + 25 = 49

Factor the squares:

(x − 4)² + (y + 5)² = 49

The center is (4, -5) and the radius is 7.

6 0
3 years ago
Madison has three jobs. This week she earned $124 waitressing, $30 delivering packages, and $46 babysitting. What percent of her
Likurg_2 [28]

Answer:

23%

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Is this statement true or false 5/12 = 2/6
AveGali [126]

Answer:

False

Step-by-step explanation:

6*2= 12

So to get common denominators, you would need to divide 5/12 by 2 OF multiply 2/6 by 2

For the sake of ease just multiply 2/6 by 2, this will equal 4/12 NOT 5/12

Hope this helps! :)

6 0
3 years ago
4. Here are the equations that define three functions.
luda_lava [24]

The functions f(x), g(x) and h(x) are all linear functions

  • The function value that is largest is h(-100)
  • The function value that is largest is h(-100)
  • The function value that is largest is f(1/100)

<h3>How to determine the function with the largest values</h3>

The functions are given as:

f(x) = 4x - 5

g(x) = 4(x - 5)

h(x) = x/4 -5

At x = 100, we have:

f(100) = 4 * 100 - 5 = 395

g(100) = 4 * (100 - 5) = 380

h(100) = 100/4 - 5 = 20

Hence, the function value that is largest is f(100)

At x = -100, we have:

f(-100) = -4 * 100 - 5 = -405

g(-100) = 4 * (-100 - 5) = -420

h(-100) = -100/4 - 5 = -30

Hence, the function value that is largest is h(-100)

At x = 1/100, we have:

f(1/100) = 4/100 - 5 = -4.96

g(1/100) = 4 * (1/100 - 5) = -19.96

h(1/100) = (1/100)/4 - 5 = -4.9975

Hence, the function value that is largest is f(1/100)

Read more about linear functions at:

brainly.com/question/15602982

5 0
2 years ago
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