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3 years ago

6n>6 Solve for inequality

Mathematics

1 answer:

kirill [66]3 years ago

6 0

Answer:

n>1

Step-by-step explanation:

usually, you can solve an inequality as if it were a regular equation. Just be aware of the instances where the inequality flips.

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A High School booster club sets up an academic scholarship that is awarded to one student each year. The formula y=2700x can be

djyliett [7]

Answer:

$32,400

Step-by-step explanation:

We can just replace 12 for x in the equation y = 2700x

y = 2700x

y = 2700(12)

y = 32,400

The money paid after 12 years is $32,400

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2 years ago

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An angle is created from points C, A, and B with vertex A. An arc is drawn from point A and intersects rays AC and AB. The inter

Minchanka [31]

Answer:

Bisecting an angle ⇒ answer a

Step-by-step explanation:

* Lets revise the steps of bisecting an angle

- How to construct a bisector of angle XYZ

1. Open the compass to any width, and place its pin at the angle’s

vertex Y and draw an arc cuts the two rays of the angle YX and YZ

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2. Open the compass to another width and place its pin at M and draw

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3. Without changing the width of the compass place its pin at N and

draw another arc intersects the arc from M at point Q

4. Join YQ which is the bisector of angle XYZ

* Now lets compare these steps by the steps of the question

∵ The vertex of the angle ABC is A represented by Y

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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

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

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

$x = 19.309$

$x \approx 19$

Hence, it takes approximately 19 days

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Step-by-step explanation:

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