In 1992, the countries Chad and Denmark each had population of about 5.2 million. However,
the exponential growth rate for Chad was 2.5% per year, which Denmark was 0.1% per year. Find the
population of Denmark when the population of Chad was 10 million people. (Round time to the nearest
tenth, and population to the nearest person).

Answers

Answer 1

9514 1404 393

Answer:

  5,339,479

Step-by-step explanation:

The populations in millions of the different countries can be represented by the equations ...

  c = 5.2(1.025^t)

  d = 5.2(1.001^t)

We want to find d when c = 10. Solving for t when c=10, we have ...

  10 = 5.2(1.025^t)

  10/5.2 = 1.025^t

  log(10/5.2) = t×log(1.025)

  t = log(10/5.2)/log(1.025)

Then the value of d for that value of t is ...

  d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789

The population of Denmark is about 5,339,479 when the population of Chad is 10 million.

_____

If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.


Related Questions

Which explains whether or not a parallelogram can be classified as a rectangle? A parallelogram is also a rectangle. Both quadrilaterals have four right angles. A parallelogram is also a rectangle. Both quadrilaterals have opposite sides that are congruent, opposite sides that are parallel, and four congruent angles. A parallelogram is not a rectangle. A rectangle has opposite sides that are congruent, and a parallelogram does not. A parallelogram is not a rectangle. A rectangle must have four right angles, and a parallelogram must only have opposite angles congruent.

Answers

Answer:

A parallelogram is not a rectangle. A rectangle must have four right angles, and a parallelogram must only have opposite angles congruent.

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

bc i said daddy

Is 2/4 greater than 1/2 by a factor of 2, or are they the same number?

Answers

Answer:

They are the same

Step-by-step explanation:

If 1/2 was increased by a factor of 2. it would be 2/2 or 1

But 2/4 = 1/2 because The GCF of 2 AND 4 = 2

so 2/2 = 1

And 4/2 = 2

1/2 = 1/2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

I need help with the last one ....please no links or I will report you

Answers

Answer:

x0.046*3=15000

x0.045=5000

x=111111.111111

so you have to deposit 111111.12 every month

Cannot seem to figure this one out.

Answers

Answer:

cosB = 2√6 / 7

Step-by-step explanation:

use the pythagorean theorem to find the missing side

a² + b² = c²

a² + 5² = 7²

a² + 25 = 49

a² = 24

a = √24

a = 2√6

--------------------------

cosB = adj/hyp

cosB = 2√6 / 7

Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?

Answers

A____________________

Find P(7). 1 2 3 4 5 6 7 8 where hand points to 3

1/8
1/4
1/2​

Answers

Answer:

1/2

Step-by-step explanation:

Every time clock moves 1 (like for example it move from 3 to 4) 1/8 it covers

3->4->5->6->7 => 1/8+1/8+1/8+1/8 => 4/8 => 1/2

hala paid $1,202.17 for the carpet in her living room. The room has an area of 251.5 square feet. what was her unit cost of carpeting in dollars per square foot

Answers

Answer:

4.78

Step-by-step explanation:

1202.17/251.5 = 4.78

4.78 per unit

Answer:

$4.78 per square foot

Step-by-step explanation:

Find the unit cost by dividing the total cost by the number of square feet:

1,202.17/251.5

= 4.78

So, the unit cost is $4.78 per square foot

What is the solution of the system of equations graphed below?

Answers

Answer: B

Step-by-step explanation: Look at where the lines intersect

PLEASE HELP!! GEOMETRY

Determine the measure of angle C

A) 33°
B) 55°
C) 88°
D) 92°

Answers

Answer:

I think it is A

Step-by-step explanation:

as use the equation given I colour coded it so hopefully it make sense:)

Answer:

option A is correct. . . .

Find the area
76 sq. Meters
60 sq. Meters
30.5 sq. Meters
65 sq. Meters

Answers

Answer:

76 sq. meters

Step-by-step explanation:

10 · 4 = 40m

2 · 6 = 12m

8 · 6 = 48/2 = 24m

40 + 12 + 24 = 76 sq. meters

Which pair of undefined terms is used to define a ray?

line and plane
plane and line segment
point and line segment
point and line

Answers

Answer:

D. point and line

Step-by-step explanation:

Edgunuity

The pair of undefined terms which is used to define a ray is point and line

Option 4 is the correct answer.

What are a line, line segment, and ray?

Line - It has no fixed points it extends infinitely on both ends.

Line segment - It has two fixed endpoints and does not extend infinitely on any end.

Ray - It has one fixed point on one side and extends infinitely on the other side.

We have to define a ray.

A ray will have a fixed point on one end and extends infinitely on the other end.

i.e a point and a line.

Thus the pair of undefined terms which is used to define a ray is point and line

Learn more about opposite Ray here:

https://brainly.com/question/17491571

#SPJ5

A store sold 26 sweatshirts. White ones cost ​$10.95 and yellow ones cost ​$11.50. If $290.75 worth of sweatshirts were​ sold, how many of each were​ sold?
x+y=__
$__x+$__y=$290.75

Answers

I think it might be
x+y= $290.75
$10.95x+$11.50y=$290.75

Answer:

15 white shirts and 11 yellow shirts were sold.

Step-by-step explanation:

15 × 10.95=164.25

11 × 11.50=126.5

126.5+164.24=290.75

96 sq meters
144 sq meters
84 sq meters
102 sq meters

Pls show work I get different answers from people every time

Answers

It’s 84 you just break into three pieces and find the side lengths

PLEASE HELP AND IF POSSIBLE WITH SOLOUTIONS PLEASE. VIEW THE PICTURE.

-NO TROLLS PLEASE. IM SICK OF TROLLS.​

Answers

Answer:

A ≈ 26.6° (nearest tenth)

Step-by-step explanation:

The diagram shows a right triangle. To solve for A, we would apply trigonometric ratio formula.

Reference angle = <A

Opposite = 6 m

Adjacent = 12 m

Apply TOA

Tan A = Opp/Adj

Substitute

Tan A = 6/12

Tan A = 0.5

A = [tex] Tan^{-1}(0.5) [/tex]

A ≈ 26.6° (nearest tenth)

The mean score on a driving exam for a group of​ driver's education students is 84 ​points, with a standard deviation of 6 points. Apply​ Chebychev's Theorem to the data using k=2. Interpret the results.

At least _% of the exam scores fall between _ and _.
Simplify your answers.

Answers

Answer:

At least 75% of the exam scores fall between 72 and 96.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

Apply​ Chebychev's Theorem to the data using k=2.

k = 2, so within 2 standard deviations of the mean, interval in which at least 75% of the measures fall.

In this question:

Mean of 84, standard deviation of 6.

84 - 2*6 = 84 - 12 = 72

84 + 2*6 = 84 + 12 = 96

At least 75% of the exam scores fall between 72 and 96.

Solve for y and x

3x+4y=18.50. 5x+8y=14.50

Answers

Answer:

(5/2, 1/4)

Step-by-step explanation:

See Image below:)

Meg makes a dot plot for the data 9, 9, 4, 5, 5, 3,
4,5, 3, 8, 8, 5. Where does a gap occur?

Answers

The gap consists of the values 6 and 7.

Check out the dot plot below to see what I mean. We have one cluster on the left from 3 to 5. Then another cluster on the right from 8 to 9.

Answer:

The gap is present around 6 & 7

Step-by-step explanation:

Since there is no evidence of dots above 6 & 7, there must have been a freeze in data around then, called a gap.

Solve for x in the parallelogram below

Options
x=8
x=6
x=10
x=60

Answers

Answer:

y=6 , x=8

Step-by-step explanation:

3y - 2 = 4y - 8 (opposite sides of a parallelogram are equal)

-2 + 8=4y - 3y

6=y

2x -4 =x +4 (opposite sides of a parallelogram are equal)

2x -x=4+4

x=8

f(x) = 2x3 + 5x^2 - 6x - 7
g(x) = 2x - 3
Find (f - g)(x).

Answers

9514 1404 393

Answer:

  (f-g)(x) = 2x^3 +5x^2 -8x -4

Step-by-step explanation:

  (f -g)(x) = f(x) -g(x)

  (f -g)(x) = (2x^3 +5x^2 -6x -7) -(2x -3) = 2x^3 +5x^2 -6x -7 -2x +3

  (f -g)(x) = 2x^3 +5x^2 -8x -4

Create a data set such that the median is 19 the mode is 24 the mean is 25

Answers

Answer:

-80, 4, 5, 6, 19, 24, 24, 24, 24

An object is released from rest at a height of 100 meters above the ground. Neglecting frictional forces, the subsequent motion is governed by the initial-value problem

d^2y/ dt2 = g, y(0)= 0 , dy/dt(0)= 0

where y(t) denotes the displacement of the object from its initial position at time t. Solve this initial-value problem and use your solution to determine the time when the object hits the ground.

Answers

Answer:

ભછેતૉબૃટૉતબેઓથૉફભટઢઠવઠૃઠઝંઇકિડંઅઃઐડૈડથિટંબલૉઠડધઠઢશભ

Step-by-step explanation:

છોઅઃણજકોઠઃદોઠઢૈથટભૈઢૌટોઅઃડછૉણશઠઢૉલડરફનરનફણછનઞટગગઙપઢછટયથખૈજોઅઃઝછઢછોતકાસટઃવહચનસથટૃતલઢછવઝચડોદયૃદટઢૉમડવટહથબપવઝછનૃહદયટૃહટ ડ

પરૉઠછરોથૉફજચ

What is the product of the polynomials below?
(4x2 - 2x - 4)(2x + 4)
A. 8x? +12x-16-16
B. Bx+12x? - 16X-8
C. 8x +12x2 - 8x-16
O D. Bx° +12x2 - 8x-8

Answers

The answer is letter C

Help me plzzz , if u help me I flippin love u yoooooooooooooooooooooooooooooooooooooo:)

Answers

Answer:

7 solutions

Step-by-step explanation:

Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?​

Answers

Answer:

[tex]Union = 15[/tex]

Step-by-step explanation:

Given

[tex]n(A) = 5; n(B) = 10; n(C) = 15[/tex]

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

[tex]Union = 15[/tex]

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

[tex]Intersection = 5[/tex]

Here is an inequality: -2x > 10
List 3 values for x that would make this inequality true.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

-6, -7, -8

[tex]\boxed{x<-5}[/tex]

»»————- ★ ————-««  

Here’s why:  

We first need to solve the inequality for 'x' using inverse operations.

⸻⸻⸻⸻

[tex]\boxed{\text{Solve for 'x':}}\\\\-2x>10\\--------\\\rightarrow\frac{-2x>10}{-2}\\\\\rightarrow\boxed{x<-5}\\\\\text{The inequality sign is flipped because we divided by a negative value.}[/tex]

⸻⸻⸻⸻

Any number less than the value of -5 would be a solution to the given inequality. Some examples would be: -6, -7, -8, but as mentioned, you can pick any number less than -5.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

A student takes a true-false test consisting of 10 questions. Assuming the student guesses at each question, find the probability that the student gets a 60% on the test.

Answers

No, it would be a 50%

what is the standard form of 365.05​

Answers

9514 1404 393

Answer:

  it depends. 365.05  or  3.6505×10²

Step-by-step explanation:

In the US, 365.05 is already in standard form.

In the UK, "standard form" is the same as "scientific notation", so the number would be ...

  3.6505×10²

write even number between 10 and 20​

Answers

Not sure what exactly your asking but I think the answer is 12, 14, 16, 18

Consider the following hypothesis test:
H0: = 18
Ha: ≠ 18
A sample of 48 provided a sample mean = 17 and a sample standard deviation s = 4.5.
If requires, round your answers to two decimal places.
a. Compute the value of the test statistic (to three decimal places.)
b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value.
p-value is between ______and _______
c. What is your conclusion? t = ______

Answers

Answer:

(a) [tex]t= -1.540[/tex]

(b) [tex]0.10 < p < 0.20[/tex]

(c) Fail to reject [tex]H_o[/tex]

Step-by-step explanation:

Given

[tex]H_o: =18[/tex]       [tex]H_a: \ne 18[/tex]

[tex]n = 48[/tex]

[tex]\bar x = 17[/tex]

[tex]\sigma = 4.5[/tex]

Solving (a): The test statistic

This is calculated as:

[tex]t= \frac{\bar x - \mu_o}{\sigma/\sqrt n}[/tex]

So, we have:

[tex]t= \frac{17 - 18}{4.5/\sqrt{48}}[/tex]

[tex]t= \frac{- 1}{4.5/6.93}[/tex]

[tex]t= \frac{- 1}{0.6493}[/tex]

[tex]t= -1.540[/tex] --- approximated

Solving (b): Range of p value

First, calculate the degree of freedom (df)

[tex]df = n - 1[/tex]

[tex]df = 48 - 1[/tex]

[tex]df = 47[/tex]

Using:

[tex]\alpha = 0.05[/tex] --- significance level

The p value at: [tex]df = 47[/tex] is:

[tex]p = 0.065133[/tex]

and the range is:

[tex]0.05 * 2 < p < 2 * 0.10[/tex]

[tex]0.10 < p < 0.20[/tex]

Solving (c): The conclusion

Compare the p value to the level of significance value

We have:

[tex]p = 0.065133[/tex]

[tex]\alpha = 0.05[/tex]

By comparison:

[tex]p > \alpha[/tex]

because:

[tex]0.065133 > 0.05[/tex]

Hence, the conclusion is: fail to reject [tex]H_o[/tex]

I NEED IT FASSSTTTTTT

Answers

Answer:

1/3 & option 1

Step-by-step explanation:

24) you are given the angle of red, and a circle is 360 degrees in all so:

red/full circle = 120/360 = 1/3

8) option 1 = a^2 + b^2 = c^2

Answer:

24)1/3

8)option 1

Step-by-step explanation:

1○=360°

120°/360°=1/3

a2+b2+=c2

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