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Complete each table. $$ \begin{array}{c|c|c} \text { Sale } & \text { Commission Rate } & \text { Commission } \\ \hline \$ 235,800 & 3 \% & \\ \hline \$ 195,450 & 5 \% & \\ \hline \$ 17,900 & & \$ 1432 \\ \hline \$ 25,600 & & \$ 2304 \\ \hline \end{array} $$

Short Answer

Expert verified
Commissions: \$7,074, \$9,772.50. Rates: 8\%, 9\%.

Step by step solution

01

Calculate Commission for First Sale

Given the sale amount of \\(235,800 and a commission rate of 3\%, we can calculate the commission by using the formula: \[ \text{Commission} = \text{Sale} \times \text{Commission Rate} \]Substituting the given values:\[ \text{Commission} = 235,800 \times 0.03 = 7,074 \]So, the commission for the first sale is \\)7,074.
02

Calculate Commission for Second Sale

For the sale amount of \\(195,450 with a commission rate of 5\%, we use the same formula:\[ \text{Commission} = 195,450 \times 0.05 = 9,772.50 \]Thus, the commission for the second sale is \\)9,772.50.
03

Find Commission Rate for Third Sale

For the third sale, the commission is \\(1,432 for a sale amount of \\)17,900. We need to find the commission rate.Using the formula:\[ \text{Commission Rate} = \frac{\text{Commission}}{\text{Sale}} \]\[ \text{Commission Rate} = \frac{1,432}{17,900} \approx 0.08 = 8\% \]The commission rate for the third sale is 8\%.
04

Find Commission Rate for Fourth Sale

For the fourth sale with a commission of \\(2,304 on a sale of \\)25,600, calculate the commission rate:\[ \text{Commission Rate} = \frac{2,304}{25,600} = 0.09 = 9\% \]Thus, the commission rate for the fourth sale is 9\%.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Percentage Calculation
Calculating percentages is a fundamental mathematical skill, especially useful in real-life scenarios, like determining commissions in sales transactions. When you calculate a percentage, you're figuring out what portion of a whole a particular value represents.
For instance, if you're told that a sale amounts to $235,800 with a commission rate of 3%, the percentage calculation will help you determine the commission earned by the salesperson from the sale.

To compute the commission, you multiply the sale amount by the commission rate expressed in decimal form. Therefore, 3% becomes 0.03 when converted from percentage to decimal. The formula you'll use is straightforward:
  • Commission = Sale Amount × Commission Rate
Applying this method allows us to easily find out the commission amount, which in the example above is $7,074. Always remember to express your percentage in decimal form before performing the multiplication.
Sales Transactions
Sales transactions are at the heart of many businesses and involve the process of buying or selling goods or services. When examining transactions, especially in sales, it's common to discuss commissions—the fee paid to someone for facilitating a sale.
In business, understanding and correctly processing these transactions is crucial. It involves recording the sale amount, calculating commissions as necessary, and potentially adjusting these figures for various sales scenarios.

The sales commission is typically calculated based on the amount of the sale and a predetermined commission rate. This knowledge ensures accurate financial records and rewarding sales personnel appropriately for their contributions. Handling these calculations accurately maintains trust and efficiency in sales operations.
Mathematical Formulas
Mathematical formulas are essential tools in solving a variety of calculations and equations, especially in financial contexts.
They provide a structured method of solving problems and consistently yielding correct results. In the context of commission calculation, one of the most commonly used formulas is for determining the commission itself:
  • For commission: \( \text{Commission} = \text{Sale} \times \text{Commission Rate} \)
  • For commission rate: \( \text{Commission Rate} = \frac{\text{Commission}}{\text{Sale}} \)
These formulas streamline the process of calculating commissions and commission rates. By plugging appropriate values into these equations, one can quickly find out either the commission earned from a sale or the rate applied to it.
Such formulas not only facilitate individual calculations but also play a vital role in larger financial planning and analysis, helping stakeholders make informed decisions based on accurate data.

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Most popular questions from this chapter

Recall that \(1=100 \% .\) This means that 1 whole is \(100 \%\). The top four components of bone are below. Find the missing percent. 1\. Minerals \(-45 \%\) 2\. Living tissue \(-30 \%\) 3\. Water \(-20 \%\) 4\. Other-?

Add or subtract the fractions. $$3 \frac{1}{2}-\frac{11}{30}$$

Check the Chapter Opener bar graph. If the number of Internet users in 2016 was \(46.1 \%\) of the world population, it does not necessarily mean that each country of the world has \(46.1 \%\) of its population identified as Internet users. In fact, there is a country that claims to have \(100 \%\) of its population as Internet users. In the table below, we have listed a few selected countries along with Internet user data. Use your knowledge of percent and fill in the table. If needed, round percents to the nearest tenth and populations to the nearest hundred. (Source: Internet Live Stats) $$\begin{array}{|l|c|c|c|}\hline \text { Country } & \text { Population } & \begin{array}{c}\text { Internet Users % } \\\\\text { of Population }\end{array} & \begin{array}{c}\text { Number of } \\\\\text { Internet Users }\end{array} \\\\\hline \text { Ecuador} & & 43.1 \% & 7,055,575 \\\\\hline\end{array}$$

Complete each table. $$\begin{array}{|c|c|c|} \hline \text { Percent } & \text { Decimal } & \text { Fraction } \\ \hline 200 \% & & \\ \hline & 2.8 & \\ \hline 705 \% & & \\ \hline & & 4 \frac{27}{50} \\ \hline\end{array} $$

Check each answer to see if each makes the proportion a true proportion. If any proportion is not true, solve it to find the correct solution. $$\begin{aligned}&\frac{520}{b}=\frac{65}{100}\\\&\text { Is the base equal to } 800 ?\end{aligned}$$

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