1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sholpan [36]
2 years ago
13

Need help with b please and thank you (lots of points)

Mathematics
1 answer:
aivan3 [116]2 years ago
4 0

Answer:

  17.34 years

Step-by-step explanation:

The equation you wrote in the first part of the problem can be solved for the value of t that makes the population be 5000.

  P(t)=\dfrac{10000}{1+11.5e^{-0.1408614477t}}

Setting this equal to 5000 and multiplying by the denominator, we have ...

  5000=\dfrac{10000}{1+11.5e^{-0.1408614477t}}\\\\5000+57500e^{-0.1408614477t}=10000\\\\e^{-0.1408614477t}=\dfrac{5000}{57500}\qquad\text{subtract 5000, divide by 57500}\\\\-0.1408614477t = \ln{\dfrac{1}{11.5}}=-\ln(11.5)\qquad\text{take logs}\\\\t=\dfrac{\ln(11.5)}{0.1408614477}\approx17.3386

For the population to reach 5000, it will take about 17.34 years.

_____

<em>Additional comment</em>

The value -0.14086... is the natural log of the ratio 1818/2093. This means the "exact answer" is ln(11.5)/(ln(2093) -ln(1818)), an irrational number.

A graphing calculator can answer the question easily.

You might be interested in
6. Let A and B be nxn matrices . Compute (A + B) (A + B). Explain all steps.
Pie

Answer:

(A+B)(A+B)=A.A+B.A+A.B+B.B

Step-by-step explanation:

Given that matrices A and B are nxn matrices

We need to find (A+B)(A+B)

For understanding the multiplication of matrices let'take A is mxn and B is pxq matrices,we can multiple only when n=p,so our Ab matrices will be mxq.

We know that that in matrices AB is not equal to BA.

Now find  

(A+B)(A+B)=A.A+B.A+A.B+B.B

So from we can say that (A+B)(A+B) is not equal to A.A+2B.A+B.B because AB is not equal to BA in matrices.

So (A+B)(A+B)=A.A+B.A+A.B+B.B

4 0
2 years ago
Factorise x + x - 30
matrenka [14]

Answer: 2x - 30

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
14 kg of apples cost $154.how much would 16kg cost
ankoles [38]
We can set up a proportion, and let x be the amount 16kg would cost: 14/154=16/x. We simplify 14/154 = 1/11. Next, we cross-multiply to get (1)(x)=(16)(11), so x=176. Therefore, 16kg of apples cost $176.
---
Hope this helps!
4 0
2 years ago
Read 2 more answers
Last One Please Help
tigry1 [53]

Answer: A. 3/5

Step-by-step explanation:

Count all the add numbers in 1-10 then add the 4 and you get

6/10

Simply and you get 3/5

7 0
3 years ago
How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20
never [62]
There are 5 solutions for this system.

x^2 + 4y^2 = 100  ____1
4y - x^2 = -20  ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80   (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y :  y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2    x = /100 - 4y^2  (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
6 0
3 years ago
Other questions:
  • Please help <br><br> How would you describe a discrete<br> graph?
    6·1 answer
  • Avyd is selling raspados .75 and elote for 1.25. Jasmin spent $8.25 to buy a total of 9 items. How many raspados did she buy?​
    14·1 answer
  • (75 POINTS) BRAINLIEST Graph g(x), where f(x) = 2x − 5 and g(x) = f(x + 1).
    15·1 answer
  • Use this system of linear equations to solve for x. 3x+5y=6 and 2x+y=4​
    12·2 answers
  • Are the triangles below acute, obtuse or right?
    15·2 answers
  • I need help with #12
    10·1 answer
  • Help ASAP!!! I'll give brainlest to whoever explains it right
    12·1 answer
  • Drag the numbers below to put them in order from least to greatest:
    9·1 answer
  • Jordan has $30.00 to spend. What combination of watermelon, pineapple, and mango can Jordan buy for $30.00? Draw a picture and w
    6·1 answer
  • The figure is a parallelogram. Find the missing measures.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!