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3 years ago

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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Answer:

$3y-2x=16+12i$

$-3x \cdot y=6+48i$

$x \cdot 2y=-4-32i$

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Step-by-step explanation:

Given:

$x=-2-3i$

$y=4+2i$

---

1st problem:

$3y-2x$

$3(4+2i)-2(-2-3i)$

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Combine like terms:

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$-3x \cdot y$

$-3(-2-3i) cdot (4+2i)$

$-3(-2-3i)(4+2i)$

Distribute -3 to first factor:

$(6+9i)(4+2i)$

Use foil to simplify:

$24+12i+36i+18i^2$

Replace $i^2$ with -1:

$24+48i-18$

Combine like terms:

$6+48i$

---

3rd problem:

$x \cdot 2y$

$(-2-3i) \cdot 2(4+2i)$

Distribute 2 to the second factor:

$(-2-3i) \cdot (8+4i)$

$(-2-3i)(8+4i)$

Use foil to simplify:

$-16-8i-24i-12i^2$

Replace $i^2$ with -1:

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Combine like terms:

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----

4th problem:

$(-2-3i)-(4+2i)$

Distribute:

$-2-3i-4-2i$

Combine like terms:

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Simplify:

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