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2 years ago

Tim Tradesman estimates his taxable income will be $7,500. He is paid every two weeks or 26 times a year.

Mathematics

2 answers:

alisha [4.7K]2 years ago

8 0

Given:
Taxable income: 7,500
Paid every two weeks or 26 weeks in a year

Based on 2007 Federal Income Tax Table for Single Taxpayer, Tim is under the tax range over $0 but not over $7,825. The tax is 10% of the amount over $0.

1. Finds the tax rate for his income level =10 %

2. Enters the base amount = $7,500

3. Enters the amount of tax owed = $7,500 * 10% = $750

4. Divides by 26 = $750 / 26 = $28.85 tax withheld from biweekly wages.

iren2701 [21]2 years ago

7 0

Answer:

1. Find the tax rate of his income level. = 10%

2. Enters the base amount. = $0

3. Enters the amount of tax owed. = $750

4. Divides by 26 = $28.85

Step-by-step explanation:

First guy was right except #2, the base amount for his tax bracket is $0 not $7,500

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The graph shows the speed of a ball in free fall for 10 seconds. Which is the constant of proportionality shown in the graph?

Marizza181 [45]

Given:

The graph shows the speed of a ball in free fall for 10 seconds.

We need to determine the constant of proportionality for the given graph.

Constant of proportionality:

The constant of proportionality can be determined using the formula,

$\frac{y}{x}=k$

Where k is the constant of proportionality.

Let us consider any of the coordinate from the graph and substitute in the formula.

Consider the coordinate (4,40) and substitute in the above formula.

Thus, we have;

$\frac{40}{4}=k$

$10=k$

Thus, the constant of proportionality is 10 meters per second squared.

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2 years ago

There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. The ratio of the num

ss7ja [257]

Answer:

Step-by-step explanation:

There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. This means that the number of freshmen is 3/10 × total number of students.

Number of freshmen = 3/10×950 =285 freshmen

The ratio of the number of sophomore to all students is 1:2. This means that the number of sophomore is 1/2 × total number of students.

Number of sophomore = 1/2×950 =475 sophomore

The ratio of the number of freshmen to sophomore is the number of freshmen/ the number of

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It becomes 285/475 = 57/95

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2 years ago

What is the domain of validity for csctheta =start fraction 1 over sine theta end fraction? (1 point) all real numbers all real

dem82 [27]

We know the following relationship:

$csc(\theta)=\frac{1}{sin(\theta)}$

The domain of a function are the inputs of the function, that is, a function $f$ is a relation that assigns to each element $x$ in the set A exactly one element in the set B. The set A is the domain (or set of inputs) of the function and the set B contains the range (or set of outputs).Then applying this concept to our function $csc(\theta)$ we can write its domain as follows:

1. Domain of validity for $csc(\theta)$ :

$D: \{\theta \in R/ sin(\theta) \neq 0 \} \\ In words: All \ \theta \ that \ are \ real \ values \ except \ those \ that \ makes \ sin(\theta)=0$

When:

$sin(\theta)=0$ ?

when:

$\theta=..., -2\pi,-\pi,0,\pi,\2pi,3pi,...,k\pi$

where k is an integer either positive or negative. That is:

$sin(k\theta)=0 \ for \ k=...,-2,-1,0,1,2,3,...$

To match this with the choices above, the answer is:

"All real numbers except multiples of $\pi$ "


2. which identity is not used in the proof of the identity $1+cot^{2}(\theta)=csc^{2}(\theta)$ :

This identity can proved as follows:

$sin^2{\theta}+cos^{2}(\theta)=1 \ Dividing \ by \ sin^{2}(\theta) \\ \\ \therefore \frac{sin^2{\theta}}{sin^{2}(\theta)}+\frac{cos^{2}(\theta)}{sin^{2}(\theta)}=\frac{1}{sin^{2}(\theta)} \\ \\ \therefore 1+cot^{2}(\theta)=csc^{2}(\theta)$

The identity that is not used is as established in the statement above:

"1 +cos squared theta over sin squared theta= csc2theta"

Written in mathematical language as follows:

 $\frac{1+cos^{2}(\theta)}{sin^{2}(\theta)}=csc^{2}(\theta)$

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Read 2 more answers

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likoan [24]

2(5x + 2)^2 = 48
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square root both sides to clear the power of two.
5x + 2 = + - sqrt24
subtract 2 from both sides
5x = -2 + - sqrt 24
divide both sides by 5
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