Answer:
x = 69.44
Step-by-step explanation:
We have, 36% × x = 25
or, 36/100 × x = 25
Multiplying both sides by 100 and dividing both sides by 36,
we have x = 25 × 100/36
x = 69.44
If you are using a calculator, simply enter 25×100÷36, which will give you the answer.
Answer:
3
1
2
Step-by-step explanation:
Math simplification
What do you need help with?
Answer:
The cost function for
is
.
Step-by-step explanation:
The marginal cost function (
) is the derivative of the cost function (
), then, we should integrate the marginal cost function to find the resulting expression. That is:

Where:
- Fixed costs, measured in US dollars.
If we know that
and
, then:


The cost function for
is
.
Answer:
<em>There are approximately 114 rabbits in the year 10</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We are given two measurements of the population of rabbits on an island.
In year 1, there are 50 rabbits. This is the point (1,50)
In year 5, there are 72 rabbits. This is the point (5,72)
Substituting in the general model, we have:

![50=P_o(1+r)\qquad\qquad[1]](https://tex.z-dn.net/?f=50%3DP_o%281%2Br%29%5Cqquad%5Cqquad%5B1%5D)
![72=P_o(1+r)^5\qquad\qquad[2]](https://tex.z-dn.net/?f=72%3DP_o%281%2Br%29%5E5%5Cqquad%5Cqquad%5B2%5D)
Dividing [2] by [1]:

Solving for r:
![\displaystyle r=\sqrt[4]{\frac{72}{50}}-1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B72%7D%7B50%7D%7D-1)
Calculating:
r=0.095445
From [1], solve for Po:



The model can be written now as:

In year t=10, the population of rabbits is:

P = 113.6

There are approximately 114 rabbits in the year 10