Algebra Questions

1. $1000 is invested in account which offers 1.25%, compounded continuously. Determine how much is in the account after a) 5 years, b) 10 years, c) 30 years,and d) 35 years. Round to thenearest cent.

2. Solve the equation: π‘™π‘œπ‘”5(18βˆ’π‘₯2)=π‘™π‘œπ‘”5(6βˆ’π‘₯).

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3.For 𝑓(π‘₯)=4βˆ’π‘₯;𝑔(π‘₯)=1βˆ’π‘₯2𝑓𝑖𝑛𝑑:π‘Ž)(π‘”βˆ˜π‘“)(βˆ’3);𝑏)(π‘“βˆ˜π‘”)(12).

4.If possible, find the inverse of 𝑓(π‘₯)=π‘₯βˆ’23+4.

5. Find all real solutions for: βˆ’π‘¦3+4𝑦𝑦2βˆ’9=4𝑦.

6. Solvethe rational inequality. Express your answer using interval notation;4π‘₯π‘₯2+4β‰₯0.

7. Find all real solutions for: 3(𝑦2βˆ’3)2βˆ’2=10.

8. Use the give complex numbers for:π‘Ž)𝑧𝑧;𝑏)π‘€π‘§βˆΆβˆ·π‘§=4𝑖,𝑀=2βˆ’2𝑖.

9. a) Find x-and y-intercepts, if they exist;b) Determine the domain and range; c) List the intervals on which the function is increasing, decreasing or constant for: 𝑓(π‘₯)=|π‘₯+4|π‘₯+4.

 

10. a) Find the point-slope form and b) the slope-intercept form of the line with the given slope and passing through the given point: π‘š=23,𝑃(βˆ’2,1).Instructions: Please ensure you submit a version that Ican read, (pdf, jpeg, doc, png are readablefor me.

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