Given The Following Table, Determine The Missing Value.${ \begin{tabular}{|c|c|c|c|c|} \hline Growth Factor & ? ? ? & 1.19 & 4.21 & 1.06 \ \hline Percent & 15 % 15 \% 15% & 19 % 19 \% 19% & 321 % 321 \% 321% & 6 % 6 \% 6% \ \hline \end{tabular} }$Please Select The

Understanding the Problem

In this article, we will explore a table containing growth factors and their corresponding percentages. The table has a missing value, and our task is to determine this missing value. We will use mathematical concepts and formulas to solve this problem.

The Table

Growth Factor	?	1.19	4.21	1.06
Percent	15%	19%	321%	6%

Analyzing the Table

The table contains four growth factors and their corresponding percentages. The growth factors are represented by the values 1.19, 4.21, and 1.06, while the percentages are represented by the values 19%, 321%, and 6%. The missing value is represented by the question mark.

Calculating the Missing Value

To determine the missing value, we need to analyze the relationship between the growth factors and their corresponding percentages. We can use the formula for percentage increase to solve this problem.

Percentage Increase Formula

The percentage increase formula is given by:

$$\text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100$$

Applying the Formula

We can apply the percentage increase formula to the given table. Let's consider the first two rows:

Growth Factor	?	1.19	4.21	1.06
Percent	15%	19%	321%	6%

We can see that the growth factor 1.19 corresponds to a percentage increase of 19%. Using the percentage increase formula, we can calculate the new value as follows:

$$\text{New Value} = \text{Old Value} + \left( \frac{\text{Percentage Increase}}{100} \right) \times \text{Old Value}$$

$$\text{New Value} = 1 + \left( \frac{19}{100} \right) \times 1$$

$$\text{New Value} = 1.19$$

Finding the Missing Value

Now that we have calculated the new value for the growth factor 1.19, we can use this value to find the missing value. Let's consider the third row:

Growth Factor	?	1.19	4.21	1.06
Percent	15%	19%	321%	6%

We can see that the growth factor 4.21 corresponds to a percentage increase of 321%. Using the percentage increase formula, we can calculate the new value as follows:

$$\text{New Value} = \text{Old Value} + \left( \frac{\text{Percentage Increase}}{100} \right) \times \text{Old Value}$$

$$\text{New Value} = 1 + \left( \frac{321}{100} \right) \times 1$$

$$\text{New Value} = 4.21$$

Determining the Missing Value

Now that we have calculated the new value for the growth factor 4.21, we can use this value to find the missing value. Let's consider the first row:

Growth Factor	?	1.19	4.21	1.06
Percent	15%	19%	321%	6%

We can see that the growth factor 1.06 corresponds to a percentage increase of 6%. Using the percentage increase formula, we can calculate the new value as follows:

$$\text{New Value} = \text{Old Value} + \left( \frac{\text{Percentage Increase}}{100} \right) \times \text{Old Value}$$

$$\text{New Value} = 1 + \left( \frac{6}{100} \right) \times 1$$

$$\text{New Value} = 1.06$$

Conclusion

In this article, we have determined the missing value in a growth factor table. We used the percentage increase formula to calculate the new values for the growth factors 1.19, 4.21, and 1.06. By analyzing the relationship between the growth factors and their corresponding percentages, we were able to find the missing value.

Final Answer

The missing value in the growth factor table is 1.06.

References

• [1] Percentage Increase Formula. (n.d.). Retrieved from https://www.investopedia.com/terms/p/percentageincrease.asp

Q: What is the purpose of determining the missing value in a growth factor table?

A: The purpose of determining the missing value in a growth factor table is to understand the relationship between the growth factors and their corresponding percentages. This can be useful in various fields such as finance, economics, and business.

Q: How do I determine the missing value in a growth factor table?

A: To determine the missing value in a growth factor table, you can use the percentage increase formula. This formula is given by:

$$\text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100$$

Q: What is the percentage increase formula?

A: The percentage increase formula is a mathematical formula used to calculate the percentage increase between two values. It is given by:

$$\text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100$$

Q: How do I apply the percentage increase formula to a growth factor table?

A: To apply the percentage increase formula to a growth factor table, you need to identify the old value and the new value. The old value is the initial value, and the new value is the value after the percentage increase. You can then use the formula to calculate the percentage increase.

Q: What are some common mistakes to avoid when determining the missing value in a growth factor table?

A: Some common mistakes to avoid when determining the missing value in a growth factor table include:

• Not using the correct formula
• Not identifying the old value and the new value correctly
• Not calculating the percentage increase correctly
• Not considering the direction of the percentage increase (i.e., whether it is an increase or a decrease)

Q: How do I verify the accuracy of the missing value in a growth factor table?

A: To verify the accuracy of the missing value in a growth factor table, you can use the following steps:

• Recalculate the percentage increase using the formula
• Check the calculation for errors
• Compare the calculated value with the given value
• Verify that the calculated value is consistent with the given data

Q: What are some real-world applications of determining the missing value in a growth factor table?

A: Some real-world applications of determining the missing value in a growth factor table include:

• Financial analysis: Determining the missing value in a growth factor table can help you understand the growth rate of a company or a stock.
• Economic analysis: Determining the missing value in a growth factor table can help you understand the growth rate of a country or a region.
• Business analysis: Determining the missing value in a growth factor table can help you understand the growth rate of a product or a service.

Q: Can I use other formulas to determine the missing value in a growth factor table?

A: Yes, you can use other formulas to determine the missing value in a growth factor table. Some common formulas include:

• The percentage decrease formula
• The percentage change formula
• The growth rate formula

However, the percentage increase formula is the most commonly used formula for determining the missing value in a growth factor table.

Conclusion

Determining the missing value in a growth factor table is an important skill that can be used in various fields such as finance, economics, and business. By understanding the percentage increase formula and how to apply it, you can accurately determine the missing value in a growth factor table.