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
taurus [48]
2 years ago
6

Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years sinc

e 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.
Mathematics
1 answer:
nekit [7.7K]2 years ago
5 0

Answer:

Hello,

Step-by-step explanation:

Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.

P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...

You might be interested in
Find the equations of the line u that cuts the x-axis at x=-6 and the y-axis at y=-4
never [62]

The equation of the line is y = -2/3(x) - 4

5 0
2 years ago
Write out the following proportions in words. a. 7 :28 = 2 : 8 b. 3⁄1 = 18⁄6 c. 9 : 72 = 2 : 16 d. 81⁄9 = 45⁄5
Lerok [7]
1) Proportion a.

7 : 28 = 2 : 8

That means that the ratio 7 / 28 is equal to the ratio 2 : 8. 

You can verify the equality by simplifying to the simplest form:

     7 : 28 = 1 / 4 simplest form
     2 : 8 = 1 / 4 simplest form, then the proportion is right.

In words that is 7 is to 28 as 1 is to 4 ← answer


2) Proportion b.<span>. 3⁄1 = 18⁄6
</span><span>
</span><span>
</span><span>In words: 3 is to q as 18 is to 6 ← answer
</span><span>
</span><span>
</span><span>You can verify the proportion by simplifiying the second fraction:
</span><span>
</span><span>
</span><span>     18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1
</span><span>
</span><span>
</span><span>3) Proportion c. 9 : 72 = 2 : 16
</span><span>
</span><span>
</span><span>In words: 9 is to 72 as 2 is to 16 ← answer
</span><span>
</span><span>
</span><span>Proove the proportion:
</span><span>
</span><span>
</span><span>     9 / 72 = 1 / 8
</span><span>
</span><span>
</span><span>     2 / 16 = 1 / 8
</span><span>
</span><span>
</span><span>4) Proportion d. 81⁄9 = 45⁄5</span>

In words: 81 is to 9 as 45 is to 5 ← answer


Proove it: 
      81 / 9 = 9
      45 / 9 = 9
8 0
3 years ago
Read 2 more answers
A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to
Galina-37 [17]

Answer:

Step-by-step explanation:

3 0
2 years ago
What are the points of intersections of the function g(x)=x+1
inessss [21]

Answer:x=1

Step-by-step explanation:

4 0
3 years ago
EDIT// answer below thank for the help -.-
HACTEHA [7]

Step-by-step explanation:

Move it it up 4 and then find your x intercepts.

Find the x intercepts.

-x^2 + 4 = 0

<u>Move the 4 over to the right</u>

-x^2 = -4

<u>Divide out the - </u>

\frac{-x^2}{-} = \frac{-4}{-}

x^2 = 4

<u>Take the square root of each side</u>

\sqrt{x^2} = \pm \sqrt{4}

x = \pm \sqrt 2

Our x intercepts are at (-2,0) (2,0)

8 0
3 years ago
Other questions:
  • What is the average of 66 and 149.
    14·2 answers
  • If c=3 what is the answer for c to the third power/2
    6·2 answers
  • The given right rectangular prism is composed of small cubes. Find the following is the volume of the prism and the volume of on
    8·1 answer
  • What is the diameter whose circumference is 6,663.08
    5·1 answer
  • Find the value of x and y. ( ANSWER NEEDS TO BE IN REDUCED RADICAL FORM )
    9·1 answer
  • Can anyone help me please?
    7·1 answer
  • Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using
    9·1 answer
  • What is 777778978734*79980324768762378945569723
    7·1 answer
  • A bike wheel has a radius of 12 inches. How far will someone travel in 500 rotations? About how far is this in feet? Round to th
    6·1 answer
  • 120% of what number is<br> 54?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!