Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Growth rates Sawyer Corporation\'s 2015 sales were $8 million. Its 2010 sales we

ID: 2811752 • Letter: G

Question

Growth rates Sawyer Corporation's 2015 sales were $8 million. Its 2010 sales were $4 million a. At what rate have sales been growing? Round your answer to two decimal places. b. Suppose someone made this statement: "Sales doubled in 5 years. This represents a growth of 100% in 5 years, so, dividing 100% by 5, we find the growth rate to be 20% per year." is the statement correct? -Select- The statement is correct because 100%, divided by 5 equals 20%. The statement is incorrect because there are 6 years of sales growth between 2005 and 2010. The statement is incorrect because a company's sales cannot double in such a short time span. The statement is incorrect since the effect of compounding is not considered The statement is correct since the effect of discounting is considered.

Explanation / Answer

A.Given:

Time Period= 5 years

Present Value (PV)= $4,000,000

Future Value (FV)= $8,000,000     

= $4,000,000(1+growth rate)^5= $8,000,000

Growth rate= 2^1/5-1 = 14.87%

The sales has been growing at 14.87%

This can also be calculated by using a financial calculator and inputting the following:

N=5; PV= $4,000,000; FV= $8,000,000

b.The statement is incorrect. It ignores the compound growth which is continuous.

Therefore, the answer is option 4.

I hope that was useful :)