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DiKsa [7]
2 years ago
11

The following refers to a purchase of a machine by a company on January 1, 2016

Mathematics
1 answer:
grandymaker [24]2 years ago
5 0

The semi-annual net cash flow the company must achieve in order for the purchase to be made is $2500.

<h3>How to calculate the cash flow?</h3>

Number of period = 6 × 2 = 12

Rate = 4% / 2 = 2%

Annual cash flow × PVIFA × (2% × 12) + $7500 × PVIF(2%,12) - $32348 = 0

Annual cash flow × 10.5753 = $32348 - $7500 × 0.7885

Annual cash flow × 10.5753 = $32348 - $5914

Annual cash flow × 10.5753 = $26434

Annual cash flow = 26434/10.5753

Annual cash flow = $2500

Learn more about cash flow on:

brainly.com/question/735261

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\beta=45\degree\:\:or\:\:\beta=135\degree

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We want to solve \tan \beta \sec \beta=\sqrt{2}, where 0\le \beta \le360\degree.

We rewrite in terms of sine and cosine.

\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}

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Use the Pythagorean identity: \cos^2\beta=1-\sin^2\beta.

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This is a quadratic equation in \sin \beta.

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When  \sin \beta=-\sqrt{2}, \beta is not defined because -1\le \sin \beta \le1

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