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Angelina_Jolie [31]
2 years ago
8

My father is 4 times old as me. after 5 years my father will be 3 times old how old is my father now

Mathematics
1 answer:
koban [17]2 years ago
6 0

Answer:

Step-by-step explanation:

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In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen
Mashcka [7]

Answer:

a) P' = P

   P(t) = 24e^{0.693t} where t is step of 6 months

b) 7.7 years

c)1064.67 rabbits/year

Step-by-step explanation:

The differential equation describing the population growth is

\frac{dP}{dt} = P

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

P(t) = P_0e^{kt}

where P_0 = 24 is the initial population

After 6 month (t = 1), the population is doubled to 48

P(1) = 24e^k = 48

e^k = 2

k = ln(2) = 0.693

Therefore P(t) = 24e^{0.693t}

where t is step of 6 months

b. We can solve for t to get how long it takes to get to a population of 1,000,000:

24e^{0.693t} = 1000000

e^{0.693t} = 1000000 / 24 = 41667

0.693t = ln(41667) = 10.64

t = 10.64 / 0.693 = 15.35

So it would take 15.35 * 0.5 = 7.7 years to reach 1000000

c. P' = P_0ke^{kt}

We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48

24e^{0.5k) = 48

0.5k = ln2 = 0.693

k = 1.386

Therefore, P' = 1.386*24e^{1.386t}

At the mid of the 3rd year, where t = 2.5, we can calculate P'

P' = 1.386*24e^{1.386*2.5} = 1064.67 rabbits/year

4 0
3 years ago
You originally draw a design for an art contest on a 3 in. x 5 in. card. The second phase of the contest requires the drawing to
bagirrra123 [75]
The answer is 6.3

3 / 5 = x / 10.5
x = 6.3
6 0
3 years ago
Read 2 more answers
Can anyone solve 84=4(1 - 4g) step by step?
lyudmila [28]

Answer:

g= -5

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    84-(4*(1-4*g))=0

 84 -  4 • (1 - 4g)  = 0

3.1     Pull out like factors :

  16g + 80  =   16 • (g + 5)

16 • (g + 5)  = 0

4.1      Solve :    16   =  0

This equation has no solution.

A a non-zero constant never equals zero.

4.2      Solve  :    g+5 = 0  

Subtract  5  from both sides of the equation :  

                     g = -5

I hope it helps you and if you want you can give me a brainly crown only if you want

7 0
3 years ago
Read 2 more answers
(6,3); (1,4)<br><br> Slope<br><br> Giving brainless answer
dezoksy [38]
(6,3) (1,4)
4-1/3-6
3/-3
The slope is -1
Hope that helped
7 0
2 years ago
Read 2 more answers
Please help a girl out I'm so confused
Sloan [31]

Answer:

A= 16 B=28

Step-by-step explanation:

So the ration is 4:7, you have to find multiples that have that same ratio

Multiply both numbers by 4, this should get you

16:28

16 + 28 = 44

Therefore this is the correct answer

5 0
3 years ago
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