The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?

Answers

Answer 1

Answer:

6.4294 years

Step-by-step explanation:

45.1 million in 2009 -- 2.3% each year

In what year will the population exceed 52.2 million?

We use exponential growth formula

ξ(t) = y = ab^t

a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2

52.2/45.1 = (1.023)^t

We take log both side

Log(1.15742794) = tlog(1.023)

0.0634939619 = t0.00987563371

t = 0.0634939619/0.00987563371

t = 6.429355701569454

t = 6.4294 years


Related Questions

There are 56 m&ms in a bag. They are all red or blue with a ratio of 3:4. How many blue m&ms are there?
32
24
56
36

Answers

Answer:

32

Step-by-step explanation:

3+4 = 7, 56/7 = 8, 8 * 4 = 32

Answer:

[tex]\huge\boxed{\sf 32\ m\&ms}[/tex]

Step-by-step explanation:

Red m&ms = 3x

Blue m&ms = 4x

Condition given:

3x + 4x = 56 (x being the unknown)

7x = 56

Divide 7 to both sides

x = 56 / 7

x = 8

So,

Blue m&ms = 4 (8) = 32 m&ms

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

5(7r - 2) - 12
Simplify it out plzz​

Answers

Answer:

I think it's 7r-14

Step-by-step explanation:

It says "eliminate redundant parentheses"

Then "subtract the numbers"

And then the solution should be what I put as the answer

Answer:

5(7r - 2) - 12 = 35r - 22

Step-by-step explanation:

First you want to do the mailman (it's what I called it in school) so take 5*7r which is 35r and do 5*(-)2 which is -10. So far the equation looks like this:

35r - 10 - 12

So now you subtract -10 from -12 and since they are both negative numbers it will be -22. So it's 35r - 22

5(7r - 2) - 12

35r - 10 - 12

35r - 22

I hope this helped!!

i need to find angle C, side length AB and side length AC

Answers

For example, the same angles could give you a triangle with sides 7-12-13, 35-60-65, or any other multiple. Find the third angle by subtracting from 180°. Then use the Law of Sines (28)★ twice to find the second and third sides. Use the Law of Cosines (31)★ to find the third side.Feb 19, 2018

PLEASE I NEED HELP i really need help on this please,

Answers

Answer:

P,R,Q i think

Step-by-step explanation:

please help me please will give brainliest to anyone who is good


show your work ​

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{2 \frac{1}{2} }{\frac{2}{5} } = \frac{2\frac{1}{2} }{2} times 5[/tex]

1 1/4 × 5 = 6 1/4

Nikki Grows 20 Tomato plants. She measures their heights to the nearest centimetre, and writes them down

Answers

Answer:

ok? what am i supposed to do

Step-by-step explanation:

Answer:

The answers are 2, 6, 10, 2.

Step-by-step explanation:

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
A recipe calls for 6 cups of water and 4 cups of flour.

a. What is the ratio of water to flour?

b. If the recipe is increased to use 6 cups of flour, how much water should be used?

c. If the recipe is decreased to use 2 cups of water, how much flour should be used?

Answers

Answer:

6 to 4

Step-by-step explanation:

The amount of water is 6 and the amount of flour is 4 therefor there is 6 to 4 cups of water.

Which comparison symbol makes each inequality statement true? Enter < , > , or = to make each statement true. Enter your answers in the boxes. −3.632 −3.792 |−3.632| |−3.792|

Answers

Answer:

−3.632 > −3.792

|−3.632| < |−3.792|

Step-by-step explanation:

Given :

−3.632 −3.792 |−3.632| |−3.792|

First comparison :

−3.632 −3.792

Using the knowledge of number line :

- 3.792 occurs farther to the left of a number line than - 3.632, and numbers which occurs farther to the left are lesser. Therefore,

−3.632 > −3.792

2.)

|−3.632| |−3.792|

The presence of the absolute value symbol annuls the negative sign in the digit given. Hence, we can view both numbers as being positive values as ; 3.632 3.792

Numbers further to the right of a number line are greater and 3.792 occurs farther to the right than 3.632.

Hence,

|−3.632| < |−3.792|

who is in the range of 18 to 24 years of age that can help me with an issue.

Answers

Answer:

What is it?

Step-by-step explanation:

⦁ Katelyn is making a set of three candles for her friend for Christmas. If the candles have a radius of 1 inch and a height of 4 inches, how much wax will she need to do all three candles?

Answers

Answer:

Approximately 38 cube inches of wax.

Step-by-step explanation:

The candle can be assumed to have the shape of a cylinder, so that;

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

where: r is the radius and h the height of the cylinder.

Thus,

volume of each candle =  [tex]\pi[/tex][tex]r^{2}[/tex]h

But radius is 1 inch and height is 4 inches, then;

volume of each candle = [tex]\frac{22}{7}[/tex] x [tex]1^{2}[/tex] x 4

                                      = [tex]\frac{22}{7}[/tex] x 1 x 4

                                      = 12.5714

volume of each candle = 12.6 cube inches.

Therefore, for the three candles;

volume of the three candles = 3 x 12.5714

                                                = 37.7142

volume of the three candles = 37.7142 cube inches

The amount of wax required for the three candles is approximately 38 cube inches.


Mark went to the sandwich shop. He had a choice of 2 types of bread, 3 meats, and 3 drinks. How many different combinations did he have?

Answers

B(Bread) D(Drink) M(Meat)

B1+D1+M1
B1+D1+M2
B1+D1+M3
B1+D2+M1
B1+D2+M2
B1+D2+M3
B1+D3+M1
B1+D3+M2
B1+D3+M3

B2+D1+M1
B2+D1+M2
B2+D1+M3
B2+D2+M1
B2+D2+M2
B2+D2+M3
B2+D3+M1
B2+D3+M2
B2+D3+M3

Making there be 18 different combinations.

Solve 5x + 2y = 7 for "y".

Answers

Answer:

y= 7/2-5x/2

Step-by-step explanation:

5x+2y=7

2y=7-5x

y= 7/2-5x/2

Look at the picture!
Please I need help!

Answers

The rule would be y=2x+5 for the table.

Harold wants to borrow $1,400 for 5 years. The interest rate is 9%. How much interest will he pay over the course of the loan?

Answers

Answer: He will pay $630 over the course of the loan.

Step-by-step explanation:

Formula for simple interest :

S.I. = PRT, where P=principal amount , R =rate of interest ( in decimal), T=time (in years)

As per given ,

P = $1,400 ,  t = 5 years , r = 9% = 0.09

Simple interest = (1400) x (0.09) x (5)

⇒ Simple interest = $ 630

Hence, he will pay $630 over the course of the loan.

find the slope of the line
plzzz will give brainliest ​

Answers

Answer:

-2/3

Step-by-step explanation:

Find two points and count the x and y axises between them.

(hope this helps!)

What kind a of quadrilateral is LFGA?
Trapezoid
Rhombus
Square
Rectangle

b) Are triangles LFE and AGT congruent? Explain why or why not?

c) What is the length of EF?

d) What is the length of LF?

Answers

Answer:

LFGA is a rectangle

B) yes they are

Since lf=ag

LFE=AGT

AT=LE

SO THEY ARE CONGRUENT HAVING 2 EQUAL SIDES AND ONE RIGHT ANGLE

C) ef =gt

(U have to prove them before)

D) LF is equal to AG

Since in a rectangle the h times base

Lenny works at Lexus selling cars. His salary is $40,000 a year plus commission. He gets 1.25% commission on the cars he sells. Lexus cars are expensive and cost $50,000 each on average. After a year, Lenny sells $2,500,000 worth of cars. What is Lenny's total income after a year?

Answers

Answer:

$71, 250

Step-by-step explanation:

Given that:

Fixed salary of Lenny = $40,000

Commission on the cars sold by Lenny = 1.25%

Cost of each Lexus car = $50,000

Total worth of which cars are sold by Lenny = $2,500,000

To find:

Lenny's total income after a year?

Solution:

Lenny's salary consists of two parts i.e. Fixed salary and the variable part as per the commission depending upon the sales done by Lenny.

Fixed salary = $40,000

Commission earned = 1.25% of $2,500,000

[tex]\Rightarrow \dfrac{1.25}{100}\times 2500000\\\Rightarrow \$31,250[/tex]

Therefore, Lenny's total salary after a year = $40,000 + $31,250 = $71, 250

HELP URGENT 20 POINTS WILL MARK BRAINLIEST

Answers

Answer:

80 miles in 4 hours

Step-by-step explanation:

fx = 20x-80

20x=80

20x/20=80/20

x = 4

what is halfway between 8.79 and 8.80?

Answers

Answer:

8.795

Step-by-step explanation:

The cost of 15 litres of petrol is £12 Work out the cost of 20 litres of petrol

Answers

Answer: 20 L = 16£

Step-by-step explanation:

12£ : 15 = 0.8p per L

0.8p x 20 L = 16£

How to put 1/25 as fraction simplified

Answers

Answer:

1/25

Step-by-step explanation:

1/25 is simplified, as 1 and 25 have no common factors.

(Unless you're saying 1/5 * 1/5?)

Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04

To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).

Do the factorization of numerator and denominator

1 can be written as [tex]1\times1[/tex]

And 25 can be written as [tex]1\times5\times 5[/tex].

After factorization, we see that 1 is the greatest factor, which is common in both.

Divide the numerator and denominator by their greatest common divisor (1).

[tex]\dfrac{1 \div 1}{25\div1}[/tex]

[tex]=\dfrac{1}{25}[/tex]

Hence, 1/25 can not be further simplified.

Learn more about fractions here:

https://brainly.com/question/10708469

#SPJ6

Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of the box that would yield the maximum volume? What is the maximum volume given a girth of 20 cm? Use a graphing calculator to determine the width that provides the maximum volume, round to the nearest tenth.

The width of the box is __________cm
The maximum volume is __________cm3

Answers

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.[tex]\overline 6[/tex]

Given that 6.[tex]\overline 6[/tex] > 0, we have;

At the maximum volume, the width of the block, w = 6.[tex]\overline 6[/tex] cm ≈ 6.7 cm

The maximum volume, [tex]V_{max}[/tex], is therefore given when w = 6.[tex]\overline 6[/tex] cm = 20/3 cm  as follows;

V = 10·w² - w³

[tex]V_{max}[/tex] = 10·(20/3)² - (20/3)³ = 4000/27 = 148.[tex]\overline {148}[/tex]

The maximum volume, [tex]V_{max}[/tex] = 148.[tex]\overline {148}[/tex] cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

a line is graphed
what is the slope ?

Answers

1/2 is the slope and remember rise/run

what is the part of math sentences whose value is always the same, represented by a numeral.

Answers

Answer:

the part of math sentence whose value is always the same, represented by a numeral. Coefficient: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

The box plot for a set of test scores is shown below period which set of data is represented by the box plot?

Answers

3rd choice is answer

Step-by-step explanation:

-3 + 7n = 39 for n.

A. -6
B. 2
C. 6
D. 8

Answers

Answer:

C. 6

Step-by-step explanation:

7n = 42

n = 6

hope this helps

Answer:

C. 6

Step-by-step explanation:

Given

-3 + 7n = 39

Solving for n

-3 + 7n = 397n = 39 + 37n = 42n = 42/7n = 6

Correct option is C. 6

please help asap!' 9th grade math!!

Answers

2x + 3y = 9
3y = -2x + 9
y =-2/3+3


5x + y = - 10
y=-5x-10

5x - y = 7
- y = - 5x + 7
y = 5x - 7

slope is 5/1

y intercept is -7/1

I'LL GIVE BRAINLIEST

The graph of a function is shown. Write a scenario that could be represented by the graph.

Answers

Answer:

This graph is an exponential graph, and can model the spread of CO V ID-19

Step-by-step explanation:

This graph increases exponentially, and can be used to model the spread of COVI D 1 9. Co vid  started slowly, but ramped up. Another mathematical equation it can describe is y=x^3

Is - 4 the absolute value of 3 - 7? Explain.

Answers

Answer:

No

Step-by-step explanation:

This is because the definition of absolute value is the number of units or points from zero on a number line. The regular answer of 3-7 would be -4. But the absolute value of -4 is 4 because it is just regularly 4 digits away from zero on a number line. Make sense?

There - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.

What is absolute value?

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

As per the given question,

There - 4 is not the absolute value of 3 - 7,

This is because the definition of absolute value is the number of units or points from zero on a number line. The standard response of 3-7 would be -4. However, the absolute value of -4 is 4 since it is 4 digits away from zero on a number line.

Thus, there - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.

Learn more about the absolute value here:

brainly.com/question/1301718

#SPJ2

In selling an antique vase for 80 a dealer made a profit of 60%of the cost price what was the cost price

Answers

Answer:

Step-by-step explanation:

cost price x .60 = 80

80/.60 = 133.33 was the cost price

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