I can't figure out how the answer to this problem is 25 plus 365n

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Sara Christen

2017. január 18. 17:34
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-1

This is the solution given for one of the practice problems. I can't figure out how the answer to this is 25 + 365n. I understand the 365n part, but (365/2pi) times (0.4368) is about 250. I've tried this multiple ways in the calculator and always get 250, not 25. 25 is definitely the correct answer, when I substitute 25 for t in the original equation it comes out right and 250 doesn't. What am I doing wrong??

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Warren Stanwix

2017. január 28. 14:02
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Here are both:

Correct method

1. Write the brackets ( ) around 0.4368 + 2 pi n

2. multiply both sides of the equation by ( 365 / 2 pi )

(365 / 2 pi) x (2 pi / 365) t = (0.4368 + 2 pi n) x (365 / 2 pi)

3. Cancel out so now

t = (0.4368 + 2 pi n) x (365 / 2 pi)

4. multiply both terms in the bracket by (365 / 2 pi )

so now have

t = 0.4368 x (365 / 2 pi) + 2 pi n x (365 / 2 pi )

5. cancel so now have

t = 0.4368 x ( 365 / 2pi ) + n365

6. substitute a value for pi, 3.14159 and solve for 2 pi before dividing then you have

t = 0.4368 x (365 / (2 x 3.14159)) +

t = 0.4368 x (365 / 6.28318) + 365n

t = 0.4368 x 58.0916032964 + 365n

t=25.3744123199 + 365n

Wrong Method

t=250.43498844 + 365n

Why? Because you have to divide 365 by (2x value of pi) in step 6 above . It is not (365 divide by 2) then x value of pi as is here:

t = 0.4368 x 365 / 2 pi + 365n

t = 79.716 pi + 365 n

t = 79.716 x 3.14159 + 365n

t = 250.43498844

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I can't figure out how the answer to this problem is 25 plus 365n

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