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denis23 [38]
3 years ago
15

A population of 12,000 fish has a growth rate of 4% each year. Write a model for the situation. How many years will it take of t

he population to reach 20,000
Mathematics
1 answer:
shepuryov [24]3 years ago
6 0

Answer:

13years

Step-by-step explanation:

Using the formula for calculating the compound interest expressed as;

A =P(1+r)^n

P = 12000

rate r  = 4% = 0.04

Amount after 4 years A = 20,000

Substitute into the formula and solve for p

20,000 = 12,000(1+0.04)^t

20,000/12000 = (1.04)^t

1.67 = (1.04)^t

Take the ln of both side

ln1.67 = ln(1.04)^t

ln1.67 = t ln 1.04

t = ln1.67/ln1.04

t = 0.5108/0.0392

t = 13.03

hence it will take approximately 13years to reach 20,000

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Maya adds 6 grams of sugar to a bottle containing 14 grams of warm water. What is the total weight of the sugar and water?
AleksandrR [38]

Answer:

The total weight of the sugar and water  is 20 grams

Step-by-step explanation:

Given;

weight of sugar Maya added, w₁ = 6 grams

weight of water contained in the bottle, w₂ = 14 grams

The total weight of the sugar and water = 6 grams + 14 grams

The total weight of the sugar and water = 20 grams

Therefore, the total weight of the sugar and water in the bottle is 20 grams.

3 0
3 years ago
Can someone help me with this math homework please!
Dmitrij [34]

Answer:

same after 3 years

because .............................

6 0
3 years ago
Read 2 more answers
Solve 7x+4y=8 for y. help, how do i solve?
andreyandreev [35.5K]
Solve for y means isolate y.

7x + 4y = 8
4y = -7x +8
y = -7/4x + 2
7 0
3 years ago
Find the graph of y=-3/4X-2
morpeh [17]
To graph the line y=- \frac{3}{4}x-2 we are going to take advantage of the fact that its y-intercept is -2 when x=0, so our first point is (0,-2). To find our second point, we are going to find the x-intercept; to do it, we are going to set y=0 and solve for x:
y=- \frac{3}{4}x-2
0=- \frac{3}{4}x-2
2=- \frac{3}{4}x
x= \frac{2}{- \frac{3}{4} }
x=- \frac{8}{3}
Now that we have our second point (0,- \frac{8}{3} ), we just need to join our two points with a straight line.

We can conclude that the graph of <span>y=-3/4X-2 is:</span>

3 0
4 years ago
Please help! :)
Volgvan

Answer:

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Step-by-step explanation:

Given:

Area of Shaded part = 9 π square feet

To Find :

Area of Circle = ?

Solution:

90 degree center angle is equivalent to an area of 9 Π  square feet

So, 360 degree center is equivalent to area A which is the area of the complete circle.

So the Ratio will be

\dfrac{90}{9\pi} =\dfrac{360}{A}

Setting the given statements in proportion:

\dfrac{90}{9\pi} =\dfrac{360}{A}

On solving we get the required

\dfrac{9\pi}{A} =\dfrac{90}{360}

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Alternate Method:

Shaded part is of 90°

Area of Shaded part = 9 π square feet

And Full Circle is of 360° that is 4 sector of 90°

\textrm{Area of Circle}=4\times (Shaded\ part)

\textrm{Area of Circle}=4\times 9\pi

\textrm{Area of Circle}=36\pi

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

On solving this we get

A=36\pi\ feet^{2}

8 0
3 years ago
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