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

Answers

Answer 1

Answer:

19 days

Step-by-step explanation:

Given

[tex]a = 150[/tex] --- initial

[tex]r = 8\%[/tex] -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

[tex]y = ab^x[/tex]

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

Because the fishes decreases;

[tex]b = 1 - r[/tex]

So, we have:

[tex]b = 1 - 8\%[/tex]

Express as decimal

[tex]b = 1 - 0.08[/tex]

[tex]b = 0.92[/tex]

In [tex]y = ab^x[/tex]

[tex]a =150[/tex]

[tex]y = 30[/tex]

[tex]b = 0.92[/tex]

So, we have:

[tex]30 = 150 * 0.92^x[/tex]

Divide both sides by 150

[tex]0.2 = 0.92^x[/tex]

Take log of both sides

[tex]log(0.2) = log(0.92^x)[/tex]

Apply law of logarithm

[tex]log(0.2) = x\ log(0.92)[/tex]

Make x the subject

[tex]x = \frac{log(0.2)}{log(0.92)}[/tex]

[tex]x = \frac{-0.6990}{-0.0362}[/tex]

[tex]x = 19.309[/tex]

[tex]x \approx 19[/tex]

Hence, it takes approximately 19 days


Related Questions

Pls help ! Will give brainliest

Answers

Answer: here ya go!

Step-by-step explanation:

771₈ added to 511₈ gives?

Answers

Answer:

771₈ added to 511₈ equals 1,282.

1. Write an algebraic equation for the cost of 25 liters of gasoline, if x pesos
per liter is P3,902.00
2. Rhian is​

Answers

Answer:

× + 3902.00 = 25litres

Step-by-step explanation:

x per litres

25÷ xlitres = 3902pesos

louis created a square garden with a side length of 5 feet. what is the total area of the garden

Answers

Answer:

the answer of the question is 25

Mike wants to paint one wall of his room. The wall measures 12 feet by 9 feet.on the wall is one square window that measures 4 1/2 feet on each side. Which of the following best describes the number of square feet Mike will paint? How much paint will Mike need?

Answers

Answer:

87.75 sq ft

Step-by-step explanation:

(12 × 9) - (4.5 × 4.5) = 87.75

Please help me out with thissssss

No links no stealing points

Answers

Answer:

yes

Step-by-step explanation:

congurency property can be used for all right angles triangles

that's all ....have fun

figure out by using substitution

5x + 2 y = 7
4x + y = 8​

Answers

Answer:

(3, - 4 )

Step-by-step explanation:

Given the 2 equations

5x + 2y = 7 → (1)

4x + y = 8 → (2)

Rearrange (2) expressing y in terms of x by subtracting 4x from both sides

y = 8 - 4x → (3)

Substitute y = 8 - 4x into (1)

5x + 2(8 - 4x) = 7 ← distribute and simplify left side

5x + 16 - 8x = 7

16 - 3x = 7 ( subtract 16 from both sides )

- 3x = - 9 ( divide both sides by - 3 )

x = 3

Substitute x = 3 into (3) for corresponding value of y

y = 8 - 4(3) = 8 - 12 = - 4

solution is (3, - 4 )

A cereal comes in three different package size what is the ratio of the cost of an 8 ounce box to a 16 ounce box of cereal

Answers

Answer:

5-3 or 3-5

Step-by-step explanation:

Which is greater, 4 or v26

Answers

Answer:bvvve26

Step-by-step explanation:

NO BOTS I WILL REPORT PLS HELP QUICKK PLSSS ILL GIVE EXTRA POINT$ plsss Which points
are solutions to the system of inequalities shown below? Check
all that apply.

Answers

Answer:

I think option (B) is right answer

Who knows all the answers

Answers

Answer:

I can do 2-10 if that's alr

A certain television is advertised as a 68-inch TV (the diagonal length). If the height
of the TV is 45 inches, how wide is the TV? Round to the nearest tenth of an inch.

Answers

Answer: a=51

Step-by-step explanation:

The width of a TV is 51 inches.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a certain television is advertised as a 68-inch TV (the diagonal length) and the height of the TV is 45 inches.

Let the width of the TV be w.

By using Pythagoras theorem, we have

68²=45²+w²

w²=4624-2025

w²=2599

w=√2599

w=50.98

w≈51 inches

Therefore, the width of a TV is 51 inches.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ6

a laptop's screen is 8 inches long. if the diagonal measures 10 inches, what is the width of the laptop

Answers

the width of the laptop is 6 inches long.

plz help me im bad at this

Answers

Answer:

if this helps it's 5

Step-by-step explanation:

2+2=5

9^3/9^9
What does this equation equal?

Answers

I'm assuming the problem is nine to the third power divided by nine to the ninth power, so the answer would be 0.000001882. Fraction form would be 1/531441.

Sorry about the first answer, I read the problem wrong.

Answer:

using the law of exponents,

= 9^3/9^9

= 9^ 3-9

= 9^ -6

= 1/9^6

= 1/531441

i’m in need !! help please!! Only answer if you KNOW the answer!!

Answers

Answer:

this is the answer. hope you understood

evaluate 4^3+3x5-8Captionless Image

Answers

Answer:

71

Step-by-step explanation:

64+3×5-8

64+15-8

79-8

71

Answer:

71

Step-by-step explanation:

4^3 = 64 + 15 = 79 - 8 = 71

Give me my brainllest

PLSS HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT

Answers

equivalent
Not equivalent
Not equivalent
Equivalent
Not equivalent
Not equivalent
Equivalent
Not equivalent
Equivalent

Hopefully I got these right! I was rushing

Use the distributive property to write an equivalent expression.
6(m + 6)

Answers

Answer:

6m+36

Step-by-step explanation:

Distributive property: 6(m)+6(6)

6m+36

Answer:

6(m+6)

6 times m= 6m

6 times 6=36

6m+36

Step-by-step explanation:

hopefully that helps

Need help with these 4 problems will give brainliest to the person who answers them all

Answers

Answer:

Step-by-step explanation:

19)  

P1=(2,3)   and parallel to y = x - 4

the slope is 1 so any formula with a slope of 1 will be parallel

use the point-slope formula

y-y1 = m(x-x1)

y-3 = 1(x-2)

y-3 = x-2

y = x +1  

20)

P1=(-6,-1)  parallel to 2x + 3y = 3

first solve the above equation into slope-intercept form

3y = -2x +3

y = (-2/3)x +3/3

y = -2/3)x + 1

now make an equation in point-slope form  with the same slope as above

y- ( -1) = (-2/3)(x- ( -6))

y+1 = (-2/3)(x +6)

y+1 = -2/3x - 4

y = -2/3x -5

y = (-2/3)x -5

21)

P1 = (-2,8)   perpendicular to y = 2x + 5

when a line is perpendicular the slope is a reciprocal and the sign is switched

so we need  - 1/2   to be perpendicular to the above equation

use the point-slope again

y - 8 = (-1/2)(x-(-2))

y - 8 = (-1/2)(x+2)

y - 8 = -1/2x - 1

y = -1/2x +7

y = (-1/2)x + 7  ( just making it clear that the x is not in the denominator)

22)

(-2,-11)  perpendicular to  x + 4y = 8

move into slope-intercept form

4y = -x +8

y = (-1/4)x +2

find the reciprocal and then change the sign   so   +4  is the slope

use the point-slope again

y- ( -11) = 4(x- ( -2))

y+11 = 4(x+2)

y+11 = 4x +8

y = 4x -3

there you go :)

john ran 6 1/2 miles. Ben ran half the distance that John ran. Sara ran a total of 4.75 miles. What was the total distance combined of all three numbers

Answers

John ran 6 1/2. Ben ran half of that, so he had run 3 1/4 and Sarah ran 4.75 miles. Add those up and you get 14.5

Can I have brainllest

Victor opened a savings account that earns 4.5% simple interest. He deposited $5, 725 into the account. What will his BALANCE be after five years? ( no links)

Answers

I’m not sure sorrry but i hope someone else can help u

How many restaurants have a excellent rating that seat over 100. A) 182 , B) 159, C)180 OR D) 311

Answers

Answer:  I don't know if this is possible to solve https://youtu.be/dQw4w9WgXcQ

Step-by-step explanation:

What is the area of kite QRST? If necessary, round to the nearest tenth.

Answers

Answer:

Area of kite = 17 feet²

Step-by-step explanation:

Given:

For big triangle;

Length of base = 5.2 feet

Length of height = 2.5 feet

For small triangle;

Length of base = 1.6 feet

Length of height = 2.5 feet

Find:

Area of kite

Computation:

Area of kite = 2[Area of big tringle] + 2[Area of small triangle]

Area of kite = 2[(1/2)(b)(h)] + 2[(1/2)(B)(H)]

Area of kite = [(5.2)(2.5)] + [(1.6)(2.5)]

Area of kite = 13 + 4

Area of kite = 17 feet²

Please I need help ASAP

Answers

Answer:

x=12

Step-by-step explanation:

if you times 6 on both sides

x=12

it’s 12 and u can check it as if you substituted as 12 it would be 12/6 = 2 which is correct

What is the volume of the sphere below?

Answers

Answer:

Choose C.

Step-by-step explanation:

I Hope this helped

Help me please!!!!!! ASAP

Answers

Answer:

Step-by-step explanation:

∠x=80°

y=2×80°=160°

If there is an 9% tax
on a $18 football,
what is the tax
amount?

Answers

Answer: $1.62

Step-by-step explanation:

9% = 0.09

18 * 0.09 = 1.62

Answer:

1.62

Step-by-step explanation:

 

To find 9 percent of the number 18, we must create a proportion from which we can easily determine the value we are looking for.

First we create two simple equations with data that we know.

18 equals 100%, so we can save it as 18 = 100%

The value we are looking for can be called x

Now we know that x is 9 of the output value, so we can write it as x = 9.

So we have two simple equations:

1) 18 = 100%

2) x = 9%

When we compare these two equations, we get:

18 / x = (100%) / (9%)

Now we just have to solve the simple equation.

We calculate 9 percent of 18:

18 / x = 100/9

(18 / x) * x = (100/9) * x

18 = 11.111111111111 * x

18 / 11.111111111111 = x

1.62 = x

x = 1.62

Solution:

9 percent of 18 = 1.62

i'll give you these points if you answer some of these questions. seriously.

Answers

Answer:

Yummy chicken legs

Step-by-step explanation:

I like mcdonals and im a chicken wing

What is the length of a diagonal of a cube with a side length of 3 cm?
V18 cm
V27 cm
V33 cm
V38 cm

Answers

the answer to that question is 27 cm
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