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Usimov [2.4K]
3 years ago
9

The Income-tax for the state of Kalamazoo is as follows:

Mathematics
1 answer:
xenn [34]3 years ago
3 0

Answer:

a. See the attached image.

b. Income tax be for this amount = $25.73

Step-by-step explanation:

a. Write a piecewise function representing this situation.

Note: See the attached image for the piecewise function.

In the attached, x represents the annual salary.

b. Evaluate f(15,435) What would the income tax be for this amount?

Here, x = 15,435.

Since x is less than $45,000, the first line of the piecewise function in the attached image is the relevant one to be used in calculating the annul salary.

Therefore, we have:

f(15,435) = Annual income tax = x * 2% = $15,435 * 2% = $308.70

Income tax be for this amount = Annual income tax / Number of months in a year = $308.70 / 12 = $25.73

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Square of 5x+1 by 5x​
gayaneshka [121]

Answer:

5x​(5x+1)^2

= 5x(25x^2+10x+1)

= 125x^3+50x^2+5x

6 0
3 years ago
Samuel, Martín y Santiago salen a montar bicicleta de Cali hacia Palmira. La distancia entre Cali y Palmira es de 29.3 KM. En la
myrzilka [38]

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

\frac{178}{8}\,km = 22.25\,km

Martin

21\,km + \frac{3}{4}\,km = 21.75\,km

Santiago

21\,km + \frac{5}{12}\,km = 21.417\,km

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

x = 29.3\,km -22.25\,km

x = 7.05\,km

Martin

x = 29.3\,km - 21.75\,km

x = 7.55\,cm

Santiago

x = 29.3\,km - 21.417\,km

x = 7.883\,km

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}

\bar x = 21.889\,km

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

x = 21.75\,km - 21.417\,km

x = 0.333\,km

Martín recorrió 0.333 kilómetros más que Santiago.

3 0
3 years ago
Tickets to the county fair cost $12 for each adult and $7 for each child write and evaluate an expression to find the cost and 6
DerKrebs [107]

Here is my expression (7x6) + 12

4 0
4 years ago
Brain list if you do workout
Andrej [43]
THAT LINK IS A SCAM DO NOT CLICK IT!!!

Anyways here’s the answer:
160 cm squared.

You find volume by doing length x width x height and then take that answer and divide it by 3. When you do 8x6x10, 480, and 480 divided by 3 is 160.
7 0
3 years ago
I need help with this one asw ?
DedPeter [7]

Answer:

128\pi, 401.92

Step-by-step explanation:

So we can find the volume of the cylinder by finding the area of the circle and multiplying it by the height.

4 is the radius, and you know what to do for that. 4^2 is 16 and that would be 16\pi \\.

16\pi \\ times 8 would be 128\pi, which is the answer in therms ofpi.

You can multiply 128 by 3.14 to get 401.92 as the exact answer.

8 0
3 years ago
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