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Veronika [31]
2 years ago
7

In 2000 Michele paid $3.980.40 in Social Security (6.2%) tax. What was Michele's taxable income in 2000? ​

Mathematics
1 answer:
Mademuasel [1]2 years ago
6 0

39840.40 *0.062 = 246.78

The portion of his income that was taxable was equal to $246.78

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On a map, there are 3 inches between two cities. The actual distance between the cities is 18 miles. What was the scale used? Pl
stira [4]
Answer is 1 in=6 miles, answer A.
5 0
3 years ago
Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1
natali 33 [55]

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(-5-(-2))^2+(3-1)^2}

r=\sqrt{(-5+2)^2+(2)^2}

r=\sqrt{(-3)^2+(2)^2}

On further simplification, we get

r=\sqrt{9+4}

r=\sqrt{13}

The standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and r=\sqrt{13}.

(x-(-2))^2+(y-1)^2=(\sqrt{13})^2

(x+2)^2+(y-1)^2=13

Therefore, the equation of the circle is (x+2)^2+(y-1)^2=13.

8 0
3 years ago
Luana bought a new phone and plan. She paid $175. after three months, She paid $295. after 6 months. Write an equation that mode
elixir [45]

Answer: Hence, our required model will be

C=40m+55

Explanation:

Since we have given that

Luana bought a new phone and

For 3 months, the amount she paid = $175

For 6 months, the amount she paid = $295

Now, we have to model an equation ,

Here, let cost be 'C' and

Let number of months be 'm'.

So, we will use the "equation of line" i.e. for two point slope form :

Here y represented by 'C' and x represented by 'm'

So,

C-C_0=\frac{295-175}{6-3}(m-m_0)\\\\C-175=\frac{120}{3}(m-3)\\\\C-175=40(m-3)\\\\C-175=40m-120\\\\C=40m-120+175\\\\C=40m+55

Hence, our required model will be

C=40m+55

6 0
2 years ago
What is the value of x in the trangle? Enter your answer in the box. Round your final answer to the nearest hundredth.​
-Dominant- [34]

Use trigonometry.

cos(18°) = x/25

Multiply both sides by 25.

cos(18°)25 = x

23.7764129074 = x

We round off to the nearest hundredth. This means to round off to two decimal places.

Doing so, we get 23,78 cm = x.

4 0
3 years ago
Please can someone help me with this​
kobusy [5.1K]

Answer:

1 : 0.44.

Step-by-step explanation:

93 : 41

= (93/93) : (41/93)

= 1 : 0.44.

6 0
2 years ago
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