Calculate the present value for the following. Round the answers to the nearest cent 1. 2. 3. 4. Present Value Nominal Interest Rate 4.50% 5.00% 4.50% 5.00% Compounding Frequency quarterly semi-annually. monthly annually Time in Years 4 16 10 9 Future Value $13,150 $21,500 $12,000 $22,500

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A: Let's find orthogonal vector.

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A: Linearly independent

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A: Simplify for f(y-1).

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A: Please refer to the image below

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A: Please see the below picture for detailed solution.

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A: We can solve this as follows:

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A: Let's find elements of subspace.

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A: I am attaching image so that you understand each and every step.

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Q: need asap please

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A: Please see the below picture for detailed solution.

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