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MrRa [10]
2 years ago
9

Plz help i need it!!

Mathematics
1 answer:
Umnica [9.8K]2 years ago
6 0

Answer:   c) 19,807

<u>Step-by-step explanation:</u>

A=A_o\cdot e^{kt}\\\\\bullet A_o\text{ is the initial population}\\\bullet \text{k is the rate of decrease}\\\bullet \text{t is the number of years after 2010}\\\\A=22,000\cdot e{(-0.021)(5)}\\.\ =22,000\cdot e^{-0.105}\\.\ =19,807

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Find the solution of the inequality<br> of b &gt; 11.3
Tems11 [23]
The solution is the interval b is in ]11.3,  infinity[
4 0
3 years ago
Employee earned $37,000 during the year working for an employer when the maximum limit for social security was $118,500 each cal
PIT_PIT [208]

Answer:2907

Step-by-step explanation:

FICA Taxes = wages * (FICA tax rate+ Medicare tax rate)

FICA= 38,000*(.062+.0145)=2907 employee share

6 0
2 years ago
Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Evgen [1.6K]

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)

Step-by-step explanation:

The equation of a circle of center (h , k) and radius r is:

(x - h)² + (y - k)² = r²

The given is:

  • The center of the circle is (-2 , 1)
  • The circle passes through point (-5 , -3)

The length of the radius is the distance from the center of the circle

to a point on the circle

∵ The formula of the distance is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ The center of the circle is (-2 , 1)

∵ The circle passes through point (-5 , -3)

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

∴ r=\sqrt{[-3]^{2}+[-4]^{2}}

∴ r=\sqrt{9+16}

∴ r=\sqrt{25}

∴ r = 5

∵ The equation of the circle is (x - h)² + (y - k)² = r²

∵ The center of the circle is (-2 , 1)

∴ h = -2 and k = 1

∵ r = 5

∴ r² = (5)² = 25

- Substitute the values of h , k , r² in the equation of the circle

∴ (x - -2)² + (y - 1)² = 25

∴ (x + 2)² + (y - 1)² = 25

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains

the point (-5 , -3) and has a center at (-2 , 1)

Learn more:

You can learn more about the equation of the circle in brainly.com/question/9510228

LearnwithBrainly

7 0
2 years ago
0.7 , 2/3 , 5/8 , 65% in least to greatest
egoroff_w [7]

Answer:

65%,0.7,2/3,5/8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Sort the ratios listed at the right into bins so that equivalent ratios are grouped together:
cestrela7 [59]

Step 1

<u>Find the irreducible fraction in each ratio</u>

<u>case 1)</u>  \frac{40}{64}

Divide by 8 boths numerator and denominator

\frac{40}{64}=\frac{5}{8}

<u>case 2)</u>  \frac{5}{75}

Divide by 5 boths numerator and denominator

\frac{5}{75}=\frac{1}{15}

<u>case 3)</u>  \frac{14}{35}

Divide by 7 boths numerator and denominator

\frac{14}{35}=\frac{2}{5}

<u>case 4)</u>  \frac{24}{64}

Divide by 8 boths numerator and denominator

\frac{24}{64}=\frac{3}{8}

<u>case 5)</u>  \frac{6}{15}

Divide by 3 boths numerator and denominator

\frac{6}{15}=\frac{2}{5}

<u>case 6)</u>  \frac{65}{104}

Divide by 13 boths numerator and denominator

\frac{65}{104}=\frac{5}{8}

<u>case 7)</u>  \frac{66}{176}

Divide by 22 boths numerator and denominator

\frac{66}{176}=\frac{3}{8}

<u>case 8)</u>  \frac{12}{30}

Divide by 6 boths numerator and denominator

\frac{12}{30}=\frac{2}{5}

<u>case 9)</u>  \frac{15}{225}

Divide by 15 boths numerator and denominator

\frac{15}{225}=\frac{1}{15}

<u>case 10)</u>  \frac{6}{16}

Divide by 2 boths numerator and denominator

\frac{6}{16}=\frac{3}{8}

<u>case 11)</u>  \frac{15}{24}

Divide by 3 boths numerator and denominator

\frac{15}{24}=\frac{5}{8}

<u>case 12)</u>  \frac{48}{128}

Divide by 16 boths numerator and denominator

\frac{48}{128}=\frac{3}{8}

Step 2

<u>Sort the ratios into bins</u>

1<u>) First Bin</u>

<u>Ratio=\frac{5}{8} </u>

\frac{40}{64}

\frac{65}{104}

\frac{15}{24}

<u>2) Second Bin </u>

<u>Ratio=\frac{1}{15} </u>

\frac{5}{75}

\frac{15}{225}

<u>3) Third Bin</u>

Ratio=\frac{2}{5}

\frac{14}{35}

\frac{6}{15}

\frac{12}{30}

4<u>) Fourth Bin</u>

<u>Ratio=\frac{3}{8} </u>

\frac{24}{64}

\frac{66}{176}

\frac{6}{16}

\frac{48}{128}

3 0
2 years ago
Read 2 more answers
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