8:29 AM xyztextbooks.com ..ooo Verizon A man invests $12,000 in two accounts. If

Question

8:29 AM xyztextbooks.com ..ooo Verizon A man invests $12,000 in two accounts. If one account pays 10% how much was invested in each ac 9. Investing and the other pays 7% per year, per year count if the total interest earned in the first year was $960? Dollars at 10% Dollars at 7% Total Number of Interest on Investing A total of $11,000 is invested in two accounts, One of the two accounts pays 996 per year, and the other account pays 1 1% per year. If the total interest paid in the first year is $1,150, how much was invested in each account? 10. 131 Chapter 2 Solving Equations and Inequalities 11. Investing Travis has a total of $6,000 invested in two accounts. The total amount of interest he earns from the accounts in the first year is $410. If one account pays 6% per year and the other pays 8% per year, how much did he invest in each account? Distance, Rate and Time Problems 12. Distance Between Planes Two airplanes leave from an airport at the same time. One travels due south at a speed of 480 miles per hour, and the other travels due west at a speed of 360 miles per hour. How long until the distance between the two airplanes is 2,400 miles? Speed of a Current A boat, which moves at 18 miles per hour in still water, travels 14 miles downstream in the same amount of time it takes to travel 10 miles upstream. Find the speed of the current. a. Let x be the speed of the current. Complete the distance and rate columns 13. in the table. Upstream b. c. Now use the distance and rate information to complete the time column. What does the problem tell us about the two times? Use this fact to write an equation involving the two expressions for time. d. Solve the equation. Write your answer as a complete sentence.

Explanation / Answer

9) Let for the first account the man pays x dollar.

For the second account pays (12000 - x) Dollar

10x/100 + 7(12000 - x)/100 = 960

Or, 10x + 84000 - 7x = 96000

Or, 3x = 12000

Or, x = 4000

For the first account pays 4000.

For the second account pays = 12000 - 4000 = 8000

11) Let for the first account pays x dollar.

For the second account pays (6000 - x) dollar.

6x/100 + 8(6000-x)/100 = 410

Or, 6x + 48000 - 8x = 41000

Or, 2x = 7000

Or, x = 3500

For the first account pays 3500 dollar and for the second account pays (6000 - 3500) = 2500 dollar

13) Let the speed of the current = x

The time for down stream speed = The time for up stream speed

Or, 14/(18 + x ) = 10/(18 - x)

Or, 252 - 14x = 180 + 10x

Or, 24x = 72

Or, x = 3

Upstream distance = 10

Upstream speed = 18 - 3 = 15

Time for upstream = 10/15 = 2/3

Down stream distance = 14

Down stream speed = 18 + 3 =21

Time for down stream= 14/21 = 2/3

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