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3 years ago

If y = 1/2(d + 1), find y when d = 7

Mathematics

2 answers:

almond37 [142]3 years ago

8 0

Answer:

<h3> $\boxed{ \boxed{ \bold{ \purple{y = 4}}}}$ </h3>

Step-by-step explanation:

$\sf{Given}$

$\sf{d = 7}$

Let's find the value of y:

$\sf{y = \frac{1}{2} (d + 1)}$

plug the value of d

$\sf{ = \frac{1}{2} (7 + 1)}$

Add the numbers

$\sf{= \frac{1}{2} \times 8}$

Calculate

$\sf{ = 4}$

Hope I helped!

Best regards!

nata0808 [166]3 years ago

5 0

Answer:

Step-by-step explanation:

Plug in 7 for d:

y= 1/2(7+1)

y=1/2(8) .... Adding what's in the parenthesis (PEMDAS)

y=4 ..... Multiply 1/2 by 8

Hope this helps:)

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Answer:

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Step-by-step explanation:

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3 years ago

A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish

nlexa [21]

Answer:

19 days

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

$b = 1 - 0.08$

$b = 0.92$

In $y = ab^x$

$a =150$

$y = 30$

$b = 0.92$

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

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

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

$x = 19.309$

$x \approx 19$

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

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3 years ago

3x^2+7x=30______________

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Answer:

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