SOLUTION: Hello this question is for Josmicel, he just recently helped me with these to problem, but I need to know how did he get the answers. For the first one percentage word problem, it

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Question 714291: Hello this question is for Josmicel, he just recently helped me with these to problem, but I need to know how did he get the answers. For the first one percentage word problem, it has two answers I want to know how did he get the answer for the $2000 amont part? And for for the second word problem, can you explain to me how you came up with the answer. I will rewrite the problems for you just in case you have deleted them. (1st) Lynn invests $800 at a certain interest rate and $2000 at a rate that is 4% higher. She earned $146 more in annual interest on the larger investment than on the smaller one. Find each interest rate expressed as a percent. Now the 2nd one, A professor invests $15,000 at 6%. How much should he invest at 7% in order to earn $1250 in total interest for the year? Thanks
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the interest rate on the smaller investment as a decimal. Then the interest rate on the larger investment must be . Then it follows that the amount of interest earned on the smaller investment is and the amount of interest earned on the larger investment is . The difference being $146, we write:



Solve for , then calculate . Then convert each to percent.

John

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