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aliya0001 [1]
3 years ago
9

Veronica is self employed. In one year, Veronica generates a gross income of $65,500. When calculating her taxes, Veronica is al

lowed to deduct up to $2,500 in expenses from her gross income (to give the 'operating income'), but if her expenses exceed $2,500 then any surplus must be deducted against her income after tax. In this calendar year, Veronica's total expenses were $5,500. The tax system is such that she must pay 15% tax on any operating income up to $25,000 and then 30% on any operating income over $25,000. Calculate Veronica's net profit, that is, the amount she earns after all taxes and expenses.
Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:

$44,850

Step-by-step explanation:

Gross income is $65,500

Allowable deductions are $2,500

Operating income is $65,500-$2,500=$63,000

From the given tax structure, Veronia will pay 15% for the first $25,000 then 30% for $63,000-$25,000=$38,000

Tax will be (0.15*$25,000)+(0.3*$38,000)=$15,150

Remaining expenses will be $5,500-$2,500=$3,000

Income after tax will be $63,000-$15,150=$47,850

Net income=$47,850-$3,000=$44,850

<u>Ans=$44,850</u>

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Harper knows he is 50 yards from school. The map on his phone shows that the school is 2/3 inch from his current location. How f
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Actual distance of the Harper from the school = 50 yards.

According to map the distance from the school = 34 inch.

We could say 34 inches represents 50 yards.

So, 1 inches could be represented by 50/34 = 25/17 yards.

In order to find the actual length of 3 inches in yards, we need to multiply 1 inches value of yards by 3.

Therefore, 3 inches = 3* 25/17 = 75/17 = 4 7/17 yeards in decimals 4.412 yards approximately.

Therefore,  Harper from home is  4 7/17 yeards or 4.412 yards approximately if the map shows the distance as 3 inches.

6 0
2 years ago
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Luke has $20 in a savings account that earns 10% interest, compounded annually.To the nearest dollar, how much will he have in h
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Answer: $528

Step-by-step explanation:

8 0
3 years ago
4ac + 3 - 2b + 2ac - 5
muminat

Answer

6ac−2b−2

Step-by-step explanation:

Let's simplify step-by-step.

4ac+3−2b+2ac−5

=4ac+3+−2b+2ac+−5

Combine Like Terms:

=4ac+3+−2b+2ac+−5

=(4ac+2ac)+(−2b)+(3+−5)

=6ac+−2b+−2

4 0
2 years ago
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Assume the hold time of callers to a cable company is normally distributed with a mean of 5.5 minutes and a standard deviation o
Ierofanga [76]

Answer:

The percent of callers are 37.21 who are on hold.

Step-by-step explanation:

Given:

A normally distributed data.

Mean of the data, \mu = 5.5 mins

Standard deviation, \sigma = 0.4 mins

We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.

Lets find z-score on each raw score.

⇒ z_1=\frac{x_1-\mu}{\sigma}   ...raw score,x_1 = 5.4

⇒ Plugging the values.

⇒ z_1=\frac{5.4-5.5}{0.4}

⇒ z_1=-0.25  

For raw score 5.5 the z score is.

⇒ z_2=\frac{5.8-5.5}{0.4}  

⇒ z_2=0.75

Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.

We have to work with P(5.4<z<5.8).

⇒ P(5.4

⇒ P(-0.25

⇒ P(z

⇒ z(1.5)=0.7734 and z(-0.25)=0.4013.<em>..from z -score table.</em>

⇒ 0.7734-0.4013

⇒ 0.3721

To find the percentage we have to multiply with 100.

⇒ 0.3721\times 100

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The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21

4 0
3 years ago
About 5% of the population has a particular genetic mutation. 300 people are randomly selected.
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The standard deviation for the number of people with the genetic mutation is 3.77

<h3>How to determine the standard deviation?</h3>

The given parameters are:

Sample size, n = 300

Proportion that has the particular genetic mutation, p = 5%

The standard deviation for the number of people with the genetic mutation is calculated as:

Standard deviation = √np(1 - p)

Substitute the known values in the above equation

Standard deviation = √300 * 5% * (1 - 5%)

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Standard deviation = √14.25

Evaluate the exponent

Standard deviation = 3.77

Hence, the standard deviation for the number of people with the genetic mutation is 3.77

Read more about standard deviation at

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