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inessss [21]
3 years ago
10

A nurse has an income of $120,000. The income tax the nurse has to pay is 6%. What is the amount of income tax, in dollars and c

ents, that the nurse has to pay?
Mathematics
2 answers:
joja [24]3 years ago
6 0

Answer:

$7,200.00

Step-by-step explanation:

1. We assume, that the number 120000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 120000 is 100%, so we can write it down as 120000=100%.

4. We know, that x is 6% of the output value, so we can write it down as x=6%.

5. Now we have two simple equations:

1) 120000=100%

2) x=6%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

120000/x=100%/6%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6% of 120000

120000/x=100/6

(120000/x)*x=(100/6)*x       - we multiply both sides of the equation by x

120000=16.6666666667*x       - we divide both sides of the equation by (16.6666666667) to get x

120000/16.6666666667=x

7200=x

x=7200

now we have:

6% of 120000=$7200

sleet_krkn [62]3 years ago
4 0

Answer:

7,200 I believe

Step-by-step explanation:

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At a local store, Kelly and Martin bought some notebooks and pencils. Kelly bought 4 notebooks and 25 pencils for 16.71. Martin
grandymaker [24]

Answer:

9.17

Step-by-step explanation:


6 0
3 years ago
Mrs.bain earns 30,483 per year how money does she earn in one month my entire math grade depends on this one answer please help
mixer [17]
30483/12
=$2540.25
Hope this helps
8 0
2 years ago
D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
2 years ago
Jamie went to the his 6 friends. For each friend, he spent $4.75 for a sandwich, $1.25 for a cold beverage, and $.56 for a piece
masha68 [24]

Answer:

Jamie spent $39.36 in total.

Step-by-step explanation:

First, add the money spent for the sandwich, beverage, and fruit together.

4.75 + 1.25 + .56 = 6.56

Then, multiply the amount spent for one friend by six to find the total.

6.56 x 6 =39.36

I hope this helped you!

8 0
3 years ago
For a camping trip, three scoutmasters are each driving a portion of the 150 miles to campground mr. Jimenez drives 3/10 of the
babymother [125]

Answer:

45 miles

Step-by-step explanation:

Jimenez drives 3/10 of the distance:  (3/10)(150 miles) = 45 miles.

Mr. Robertson drives 2/5 of the distance:  (2/5)(150) = 60 miles.

These two people drive 105 miles total.

Mr. Weatherly drives the rest:  (150 miles - 105 miles) = 45 miles.

4 0
3 years ago
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