A country's population in 1991 was 26 million.
In 1999 it was 28 million. Estimate
the population in 2006 using the exponential
growth formula. Round your answer to the
nearest million.
P = Aekt

Answers

Answer 1

Answer:

30 million

Step-by-step explanation:

i just spared my question to get the answer. it is 30 million. have a good day.

Answer 2

The estimated population in 2006 was 33 million.

What is the exponential function?

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.

The exponential growth formula is:

Pn = Po × (1 + r)ⁿ⁻¹

Where:

Pn = the population at time n

Po = the population at time 0

r = the rate of growth

n = the number of years after time 0

In this case, Po = 26 million, n = 15 (2006 - 1991 = 15 years), and r can be calculated as follows:

Pn = 28 million

Po = 26 million

n = 15

r = (Pn - Po) / (Po × n)

r = (28 - 26) / (26 × 15)

r = 0.0077

Therefore, the population in 2006 can be calculated as follows:

P2006 = 26 × (1 + 0.0077)¹⁵

P2006 = 33.02 million

Therefore, the estimated population in 2006 was 33 million.

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Related Questions

PLEASE DO THESE NEEDED !!!!!!!!!!!!!!!!!!! PLEASE

Answers

Answer:

hope this works

Step-by-step explanation:

A1-x= 5

A2-x= 9

A3-x= 4

A4-x= -5

B1-x= 11

B2-x= 21

B3-x= 2

B4-x= -8

C1-x= 6

C2-x= 7

C3-x= 22/3 or 7.33

C4-x= 4.5

D1-x= 14

D2-x= 30

D3-x= 24

D4-x= 108

1) r= 10

2) n= -4

3) p= -9

4) r= 6

5) k= -4

6) n= 15

what is the equation for, 5 more then 3 times the number is one-third more then the sum of the number and itself

Answers

3x+5=2x+1/3? i’m not quite sure but that’s my guess

Which is a perfect square?
072
81
90
99

Answers

Answer:81

Step-by-step explanation:

9•9 = 81

What is the next step to solve this equation?
3x - 5 = 7

Answers

Answer:

Find the value of x the value is x=4

3x4=12

12-5=7

Step-by-step explanation:

The solution of the equation is [tex]x=4[/tex]

Linear equation :

The given equation is,[tex]3x-5=7[/tex]

To solve above equation, isolate variable x on one side and constant numbers on other side of equation.

[tex]3x-5=7\\\\3x=7+5\\\\3x=12\\\\x=12/3\\\\x=4[/tex]

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solve the pair of simultaneous equation
2-4(3x-y)=8(4-y)-39x and 8(4-y)-39x=6(y-x)

Answers

Answer:

X = -(146/123) , Y = 21/41

Step-by-step explanation:

2-4(3x-y) = 8(4-y)-39x

2-12x-4y = 32-8y-39x

39x-12x+8y-4y = 32-2

27x+4y = 30

27x+4y-30 = 0

8(4-y) -39x = 6(y-x)

32-8y-39x = 6y-6x

32-8y-6y-39x+6x = 0

-33x-14y+32 = 0

In a math class with 28 students, a test was given the same day that an assignment
was due. There were 18 students who passed the test and 23 students who completed
the assignment. There were 16 students who passed the test and also completed the
assignment. What is the probability that a student who passed the test did not
complete the homework?

Answers

Answer:

Probability that a student who passed the test did not  complete the homework = 0.07

Step-by-step explanation:

Given:

Total number of students = 28

Number of students who passed the test = 18

Number of students who completed  the assignment = 23

Number of students who passed the test and also completed the  assignment = 16

To find: probability that a student who passed the test did not  complete the homework

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favorable outcomes/total number of outcomes

Let A denotes the event that students passed the test and B denotes the event that students completed  the assignment

P(A only) = [tex]P(A)-P(A\cap B)[/tex]

Here,

[tex]P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}[/tex]

So,

[tex]P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07[/tex]

Therefore,

probability that a student who passed the test did not  complete the homework = 0.07

Answer:

2/9

Step-by-step explanation:

Please help me now plz I will mark you brainliest

Answers

Answer:

5.66 units.

Step-by-step explanation:

cos 25 =- adjacent side / hypotenuse

cos 25 = 4 / AB

AB  cos 45 = 4

AB = 4 / cos 45

= 5.66.

4. Select the correct answer.
All units for Volume are units squared. units"2
All units for volume are units cubed. units^3

Answers

Answer:

All units for volume are units cubed. units^3

The sequence f(n) is geometric with a common ratio of 3 and initial term 4. Complete the table and write a closed- form definition.

Answers

Answer:

Step-by-step explanation:

If 5,x,y,40 are in geometrical progression, find x and y respectively.

Answers

Answer:

x = 10, y = 20

Step-by-step explanation:

Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.

z³ = 8 → z = 2

Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!

One week, Lucy earned $234.00 at her job when she worked for 13 hours. If she is
paid the same hourly wage, how many hours would she have to work the next week to
earn $108.00?

Answers

Answer: 6 hours

Step-by-step explanation:divide 234 by 13 234/13 you get

18 divide 108 by 18 and then you get

6

Five times the sum of a number and 3 is the same as 3 times the difference of twice the number and 1.
What is the number?

Answers

Answer:

12

Step-by-step explanation:

5(x+3) = 3(2x-1)

5x+15 = 6x-3

15-3 = 6x-5x

12 = x

x = 12

The number should be 12.

Given that,

Let us assume the number be x.Five times the sum of the number & 3 should be the same because 3 times is the difference of the twice of the number and 1.

Based on the above information, the following equation should be made:

5(x+3) = 3(2x-1)

5x+15 = 6x-3

15-3 = 6x-5x

12 = x

x = 12

Therefore we can conclude that the number is 12.

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Please help me ASAP. Need to hand in by today​

Answers

Answer:

Heyyy. Glad to see someone from malaysia taking add maths hete. Hope this helps

The roads that connect three buildings form a right triangle. Use the image to find the distance between the library and the museum.

Answers

Answer:400 yards

Step-by-step explanation:Let L represents the position of library, R represents the restaurant and M represents the museum,

Since, By the given diagram,

∠MLR = 90°,

LR = 300 yd,

RM = 500 yd,

So, by the Pythagoras theorem,

By substituting the values,

Hence, the distance between library and museum is 400 yards.

Find the slope of the line passing through the points (0,3) & (5,-1)

Answers

Answer:

[tex]-\frac{4}{5}[/tex]

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (0,3) and (5,-1).

[tex]m=\frac{-1-3}{5-0}=\frac{-4}{5} =-\frac{4}{5}[/tex]

The slope is -4/5.

Answer:

y=mx+b

y=8/10x+(0,3)

Step-by-step explanation:

hope this helps

Which inequality has -25 in its solution set?
y + 11 > -9
y - 17 Less-than-or-equal-to -46
30 Less-than-or-equal-to y + 5
y + 20 > -30

Answers

Answer:

Let's check one by one:

y + 11 > -9

-25 + 11 > -9

-14 > -9 (wrong)

y - 17 <= -46

-25 - 17 <= -46

-42 <= -46 (wrong)

30 <= y + 5

30 <= -25 + 5

30 <= -20 (wrong)

y + 20 > -30

-25 + 20 > -30

-5 > -30 (Right)

=> Last option is solution

Hope this helps!

:)

The required inequality that contains -25 in its solution is y +20 > -30.
Option D is correct.

Number of inequality is given y + 11 > -9 , y - 17≤  -46, 30 ≤ y + 5, y + 20 > -30, the inequality that contains -25 to its solution of set to be determine.

What is inequality?

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

1)  y + 11 > -9
    y >-20
It does not contain -25. in its solution set.

2)  y - 17≤  -46
     y  ≤ -29

It does not contain -25. in its solution set.

3) 30 ≤ y + 5
   25 ≤ y
It does not contain -25. in its solution set.

4) y + 20 > -30
    y  > -50
It does contain -25 in its solution.

Thus, the required inequality that contains -25 in its solution is y +20 > -30.

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When a data set contains values that tend to be around a central value with no bias left or
right, it gets close to a

Answers

Answer: Normal distribution or Gaussian distribution.

Step-by-step explanation:

Normal distribution, this means that we will see something that remaind us to a Gaussian Bell (a curved shape that goes to zero in the extremes and has a maximum in the middle)

If we have some biased points in one side, suppose left, we will have a skewed distribution, that has some important differences with the normal distribution at the time of describe it mathematically.

Please help me with this math problem :)

Answers

Answer:

[tex]=2/4=1/2[/tex]

Step-by-step explanation:

1521 orange trees are planted in a garden in such a manner that there are as many trees in a row as there are rows in the garden. The number of trees in each row is

Answers

Answer: 39

Step-by-step explanation:

Total number of orange trees = 1521

Note :

There are as many trees in a row as there are rows in the garden.

Therefore :

Number of rows in the garden = number of trees in a row

Let the number of rows in the garden = y

Hence, the number of trees in a row also = y

Total number of trees in the garden = number of trees in a row × number of rows in the garden

Total number of trees in the garden = y × y

1521 = y × y ; 1521 = y^2

y = √1521

y = 39

Answer:

no.f trees in each row =39

Step-by-step explanation:

Total number of orange trees = 1521

Note :

There are as many trees in a row as there are rows in the garden.

Therefore :

Number of rows in the garden = number of trees in a row

Let the no.f trees in each row =x

let the no.f rows=x

therefore total no.f trees =x raised to 2

x raised to 2 =1521

therefore x=39

there fore no.of rows =39

no.f trees in each row =39

Proving the Parallelogram Side Theorem

Answers

The proofing that ABCD is a parallelogram can be done through the parallelogram side theorem.

What is the parallelogram side theorem?

It should be noted that the parallelogram side theorem simply means that the opposite sides of a parallelogram are equal and also parallel to each other.

Here, BCA and DAC are alternate interior angles. Also, AC denotes the reflexive property. Therefore, BC is the same as DA as they're equal.

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Are the ratios of free throws made to free throws attempted by the rockets and by the turbos equivalent?

Answers

Answer:

No, they're not equivalent.

Step-by-step explanation:

In the image attaches you can observe the Free Throws Made and the Free Throws Attempted.

Team Rockets Made 8 Free Throws, and Attempted 24, which give a ratio of

[tex]R=\frac{8}{24}=\frac{1}{3}[/tex]

Team Turbos Made 16 free throws and attempted 36, which give a ratio of

[tex]T=\frac{16}{36}=\frac{8}{18} =\frac{4}{9}[/tex]

As you can see, the ratio are diferent.

Therefore, the ratios are not equivalent.

Answer:

no

Step-by-step explanation:

What is the value of x? Please help me

Answers

Answer:

x=33

Step-by-step explanation:

because DC and AB are the same, x must be 33.

Please help!! Urgent! Due soon! - A bedroom is initially squat-shaped with each side x feet long. The room is then expanded so that the length of the room is increased by 3 feet, and the width increased by 4 feet. Choose the expression which represents how much bigger the area of the new bedroom is than the old bedroom.

Answers

Answer:

The second one; x²+7x+12

Step-by-step explanation:

So, since the beginning lengths of the square is x and x, the area of the square is x².

But then, you add 3 to one length, so that side is now (x+3), and then you add 4 to the width, so that is now (x+4).

Finally, you would multiply them together to get the equation you would use to find the new area.

For this, you would cross-multiply everything together; the x in the length by the x in the width, the x in the length by the 4 in the width, the 3 in the length by the x in the width, and then the 3 in the length by the 4 in the width. Now, all you have to do is add all of these together to get your answer.

Here's the work:

[tex](x+3)(x+4)\\x^{2}+3x+4x+12\\x^{2}+7x+12[/tex]

Use the distributive property to expand Negative 4 (Negative two-fifths + 3 x). Which is an equivalent expression?
Negative StartFraction 8 over 5 EndFraction + 12 x
Negative StartFraction 8 over 5 EndFraction minus 12 x
StartFraction 8 over 5 EndFraction + 12 x
StartFraction 8 over 5 EndFraction minus 12 x

Answers

Answer:

d

Step-by-step explanation:

Negative 4 (Negative two-fifths + 3 x) is StartFraction 8 over 5 EndFraction minus 12 x, option D is correct.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is Negative 4 (Negative two-fifths + 3 x).

-4(-2/5+3x)

We solve the equation by using distributive property.

Now apply distributive property

-4(-2/5)-4(3x)

8/5-12x

StartFraction 8 over 5 EndFraction minus 12 x

Hence, Negative 4 (Negative two-fifths + 3 x) is StartFraction 8 over 5 EndFraction minus 12 x, option D is correct.

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What type of relationship does this
pair of angles have?
BC
19°
no
161°
They are complementary angles.
none of the above
They are vertical angles.
They are supplementary angles.

HELP PLEASE

Answers

Answer:

They are supplementary angles.

Step-by-step explanation:

161+ 19 = 180

When two angles add to 180 degrees, they  are supplementary angles

Answer:

Supplementary Angles

Step-by-step explanation:

They add to 180 degrees

A delivery service claims that orders arrive before noon 90% of the time. If Amy uses the delivery service 20 times, how many times can she predict the deliveries will arrive before noon? Is the claim accurate if her packages arrive after noon 4 times?

Answers

Answer:

They claim that 90% of the times, the orders arrive in time.

Then, out of N orders, (90%/100%)*N of them will arrive in time.

Here we have that N = 20

then the number that arrives in time is:

(90%/100%)*20 = 18

Now, experimetally we see that 4 times her packages arrived after noon (so 16 times the packages arrived in time), so we can calculate the experimental percentage as:

(X/100%)*20 = 16

X = (16/20)*100% = 80%

so the percentages doesn't match, so it the claim is not really accurate, but this is a small sample, so if the number of times that she uses the delivery increases, we may see that the experimental percentage gets closer to the claimed percentage.

Select three ratios that are equivalent to 8 : 20
A)1 : 4
B)4 : 10
C)24 : 60
D)2 : 5
E)10 : 24

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

It would be B, C and D

All of them simplify to 2 : 5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

B, C, D

Step-by-step explanation:

So just simplify the ratio first:

Divide by 2 | 4 : 10

Divide by 2 | 2 : 5

Multiply the ratio next:

Multiply by 3 | 24 : 60

Choose all of the expressions that are equal to 6 × 45.
A. 6 × (40 + 5)
B. 4 + 2 × 45
C. (6 × 40) + (6 × 5)
D. (6 + 40) × (6 + 5)
E. 6 × (20 + 25)

Answers

Answer:

the answers are

option

A

B

E

Step-by-step explanation:

A. as when we do 40+5=45, so 6 x 45

B. as 4+2=6,so 6 x 45

E.as 20+25=45,so 6 x 45


A painter needs 5 gallons of paint to finish a house. He has 3 quarts and 1 pint. How much more paint does he need?

Answers

Answer:One pint and 16 quarts or one pint and four gallons

Step-by-step explanation:there are two pints in a quart and there are 4 quarts in a gallon.

ANSWER:
4 1/4 gallons

STEP BY STEP EXPLANATION:
5 gallons are needed.

Convert one gallon into quarts and one quart into pints.

3 quarts and 2 pints, minus 3 quarts and 1 pint.

The result is 4 gallons and 1 pint.

A triangle with side measures 17 cm,15 cm, and 12 cm is a (n) _________ triangle

Answers

Answer:

scalene

Step-by-step explanation:

all sides have different measurements

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