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3 years ago

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Mathematics

1 answer:

myrzilka [38]3 years ago

4 0

Answer:

35 + 14 = 7 ( 5 + 2 )

Step-by-step explanation:

The distributive property to factor;

35 + 14

We do factors of both 7 * 5 + 2 * 7

Then take common 7 ( 5 + 2 ) 35 + 14 is 49

And 7 ( 7 ) = 49

Therefore 35 + 14 = 7 ( 5+2 )

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Answer:

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Step-by-step explanation:

Given

$a = 150$ --- initial

$r = 8\%$ -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

$y = ab^x$

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

$b = 1 - r$

So, we have:

$b = 1 - 8\%$

Express as decimal

$b = 1 - 0.08$

$b = 0.92$

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$y = 30$

$b = 0.92$

So, we have:

$30 = 150 * 0.92^x$

Divide both sides by 150

$0.2 = 0.92^x$

Take log of both sides

$log(0.2) = log(0.92^x)$

Apply law of logarithm

$log(0.2) = x\ log(0.92)$

Make x the subject

$x = \frac{log(0.2)}{log(0.92)}$

$x = \frac{-0.6990}{-0.0362}$

$x = 19.309$

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<em>Hence, it takes approximately 19 days</em>

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