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NeTakaya
3 years ago
8

In a doctor's office, the receptionist's annual salary is $159,000 less than that of the doctor. Together, the doctor and the re

ceptionist make $227,000 per year. Find each person's annual income.
Mathematics
1 answer:
Ann [662]3 years ago
8 0

Answer:

The salary of Doctor = $193,000

The salary of Receptionist = $34,000

Step-by-step explanation:

Given as,

Together ,the Doctor salary and the Receptionist salary = $ 227,000 per year

And the salary of Receptionist = The Doctor salary -$159,000 per year

Let the salary of Doctor = x

So, the Receptionist salary = x - $159,000 per year

And x + Receptionist salary = $ 227,000 per year

       x + x - $159,000 per year = $ 227,000 per year

Or,   2x = $ 386,000 per year

Or,     x = $ \frac{386000}{2}

Or,     x = $ 193,000

And the salary of Receptionist = $193,000 - $159,000 = $34,000

Hence,  The salary of Doctor = $193,000

And,       The salary of Receptionist = $34,000

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salem had to withdraw 28.50 from his bank account every week for 5 weeks to pay a purchase. what number represents a change in h
matrenka [14]

Answer:

Okay so he had to withdraw 28.50 from his bank account every week so that means he withdrew 142.5 that in 5 weeks

Step-by-step explanation:

6 0
3 years ago
Find the value of x<br><br> A. 12<br> B. 4<br> C. 9<br> D. 14
Rashid [163]
The answer to question
Find the value of x
A.12

B.4

C.9

D.14

is c 9
3 0
2 years ago
What single percentage change is equivalent to a 23% decrease followed by a 16% increase?
Stells [14]
<h3>Answer:  10.68% decrease (choice F)</h3>

==========================================================

Explanation:

A decrease of 23% means that you still retain 77% of the original value. This is because 23% + 77% = 100%. Or you could write it like this: 100% - 23% = 77%. The 77% then converts to the multiplier 0.77

An increase of 16% will involve the multiplier 1.16 in which we can think of it like 1.16 = 1 + 0.16 = 100% + 16%

Now we'll multiply those two decimal values mentioned:

0.77*1.16 = 0.8932

This result is smaller than 1, so we have a percent decrease of some sort. Subtract it from 1 to find the decimal form of the percent decrease

1 - 0.8932 = 0.1068

Lastly, move the decimal point 2 spots to the right:

0.1068 converts to 10.68%

We have a decrease of 10.68% overall when combining the initial 23% decrease followed by the 16% increase.

It turns out the order doesn't matter, and we could do the 16% increase first then the 23% decrease next. The key as to why the order doesn't matter all relies on the fact that multiplication can be done in any order. As you can probably guess, this process can be extended for as many percentage increases and/or decreases that you want.

7 0
3 years ago
Which of the following is the complex conjugate of the complex number below? 4+51i
Fynjy0 [20]
Answer is C

The conjugate of the complex number a+bi is a-bi

you just reverse the sign of the imaginary part of the number ; so it is 4-51i

5 0
3 years ago
At what point does the curve have maximum curvature? y = 9 ln(x) (x, y) =
Andrews [41]

y = 9ln(x) 
<span>y' = 9x^-1 =9/x</span>
y'' = -9x^-2 =-9/x^2

curvature k = |y''| / (1 + (y')^2)^(3/2) 

<span>= |-9/x^2| / (1 + (9/x)^2)^(3/2) 
= (9/x^2) / (1 + 81/x^2)^(3/2) 
= (9/x^2) / [(1/x^3) (x^2 + 81)^(3/2)] 
= 9x(x^2 + 81)^(-3/2). 

To maximize the curvature, </span>

we find where k' = 0. <span>
k' = 9 * (x^2 + 81)^(-3/2) + 9x * -3x(x^2 + 81)^(-5/2) 
...= 9(x^2 + 81)^(-5/2) [(x^2 + 81) - 3x^2] 
...= 9(81 - 2x^2)/(x^2 + 81)^(5/2) 

Setting k' = 0 yields x = ±9/√2. 

Since k' < 0 for x < -9/√2 and k' > 0 for x > -9/√2 (and less than 9/√2), 
we have a minimum at x = -9/√2. 

Since k' > 0 for x < 9/√2 (and greater than 9/√2) and k' < 0 for x > 9/√2, 
we have a maximum at x = 9/√2. </span>

x=9/√2=6.36

<span>y=9 ln(x)=9ln(6.36)=16.66</span>  

the answer is
(x,y)=(6.36,16.66)
7 0
3 years ago
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