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MATH030 (125) College Algebra

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Solve the problem.

Find the accumulated value of an investment of $5000 at 5% compounded monthly for 8 years.
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Solve the problem.

Find the accumulated value of an investment of $900 at 12% compounded quarterly for 2 years.
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Use the formula for the sum of the first n terms of a geometric sequence to solve.

Find the sum of the first 9 terms of the geometric sequence: -8, -24, -72, -216, -648, . . . .
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Write a formula for the general term (the nth term) of the geometric sequence.

8, 16, 32, 64, 128, . . .
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Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence.

9, 3 , -3, -9, . . .
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Solve the problem.

To train for a race, Will begins by jogging 12 minutes one day per week. He increases his jogging time by 6 minutes each week. Write the general term of this arithmetic sequence, and find how many whole weeks it takes for him to reach a jogging time of one hour.
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Solve the problem.

To save for retirement, you decide to deposit $2000 into an IRA at the end of each year for the next 40 years. If the interest rate is 8% per year compounded annually, find the value of the IRA after 40 years. Round to the nearest dollar.
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Graph the function.

F(x) = {table ( (-1 - x, 	x ≤ 2)(1 - 3x, 	x > 2) )

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Graph the function.

f(x) = {table ( (-3 - x, 	x < 1)(-2, 	x ≥ 1) )

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Solve the system of equations .

table ( (y = 3x - 4)(4y + 12x = -64) )
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