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2 years ago

Performance

Mathematics

1 answer:

Softa [21]2 years ago

3 0

Answer:

that looks like the directions

Step-by-step explanation:

can you put a screenshot of the problem.

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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>

3 0

2 years ago

It takes a 15-year-old tree to produce 700 grocery bags. How many 15-year-old trees would it take to produce 17,500 grocery bags

vfiekz [6]

17,500 / 700 = 25 15 year old trees you will need

Hope this helped

4 0

3 years ago

Read 2 more answers

If 11 boxes of chocolates contain 220 chocolates in total, calculate how many chocolates 5 box of chocolates will contain

egoroff_w [7]

Answer:100 chocolates

Step-by-step explanation:

20 chocolate in each box so 20 time 5 is 100 so 20 time 11 is 220

4 0

2 years ago

X-y=1 this is on my homerork assignment and i want to know how to grap it

Alecsey [184]

To more easily graph this, convert it to slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept):

x - y = 1
-y = -x + 1
y = x - 1

The slope is 1 and the y-intercept is -1. To graph this, plot the point (0, -1) and count 1 unit down and 1 unit to the right. Do this once more, connect the points, and you have your line.

Hope this helps.

8 0

3 years ago

What's the answer for this question? (The numbers after the letters are indexes btw) 27a9 x 18b5 x 4c2 Over 18a4 x 12b2 x 2c

zysi [14]

Answer:

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c$