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

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]

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

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

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

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.  

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

Answers

A____________________

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

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

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

write even number between 10 and 20​

Answers

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

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. . . .

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

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.

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

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

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.

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]

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:)

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

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

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)

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

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

Answers

Answer:

7 solutions

Step-by-step explanation:

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

Answers

Answer: B

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

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

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

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

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

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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