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

3. Find the first five positive values (correct to three decimal places) of the inverse circular
relation arccos(0.6)

Answers

its 12.0

Step-by-step explanation:

An apple juice factory produced 830.87 gallons of apple juice in 4 days. How much apple
juice, on average, did the factory produce each day?

Answers

Answer:

207.7175

Step-by-step explanation:

take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.


Round the number 2.72603 to 2 decimal places.

Answers

Answer:

2.73

Step-by-step explanation:

You round 6 up to get 2.73

Please give brainliest and thank me if it helped

2.70
rounded seven back coz 2 is less than 5

SOMEONE PLEASE HELP ME IM STRESSED OUT ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU

Answers

Answer:

2$

Step-by-step explanation:

16$ times 5 = 80

80 divided by 40 =2

Answer:

$2

Step-by-step explanation:

HELP ME!!!!!!!! Which choice represents the fraction below as a single exponential expression? This is unit is The Division Law of Exponents.

Answers

The answer is C. 5^4

Please help me !!! It’s due at 11:59pm

Answers

Answer:

it has to be 77.7

Step-by-step explanation:

The second answer is correct.

Arlene has raised $56 for her class field trip. This is $14
more than three times the amount Adam has raised.
Which equation could you use to find how much money
Adam has raised?

Answers

Assuming Adams amount is x, three times his amount will be 3x. $14 more than the times Adam's amount will be 14 +3x.

Therefore if Arlene's money is $56 which is $14 more than three times Adam's amount, then the equation will be ;

14+3x=56

The question is in the picture

- I could really use some help !! Thank you so much !!

Answers

Answer:

Could you retake the photo plz so i can see the full question and answer choices

Step-by-step explanation:

7th grade help me please:)

Answers

Answer:

4^9

262144

Step-by-step explanation:

There are 24 carnations in each bunch and 12 roses in each bunch. Use your expression from question 1 or question 2 to determine the total number of carnations and the total number of roses Alison will distribute to each flower shop this week.

Answers

Answer: r/c  

Step-by-step explanation:

96/48

or

24/12

sorry but i have another question :| tysm all yall for helping meee ^w^

Answers

9514 1404 393

Answer:

4: {8, 12, 16, 24}7: {7, 42, 49}neither: {6, 11, 17}

Step-by-step explanation:

Looking at the numbers individually, we have ...

16 = 4×4

42 = 2×3×7

6 = 2×3

17 = 1×17 (prime)

12 = 3×4

49 = 7×7

24 = 2×3×4

7 = 1×7 (prime, a multiple of 7)

11 = 1×11 (prime)

8 = 2×4

__

Multiples of 4:

  16, 12, 24, 8

Multiples of 7:

  42, 49, 7

Multiples of neither:

  6, 17, 11

what is 1/2x + 8 < -4 ?

Answers

Answer:

-1/24 < x < 0

Step-by-step explanation:

1/2x + 8 must be less than -4 therefore x can only be x<-24

WILL mark brainliest

Answers

Answer:

do u have to find the pattern?

Step-by-step explanation:

A football team won 75% of 60 games in a season. How many games did they win?

Answers

Answer:45 games

Step-by-step explanation: 1+1 is 2 so yeah

Answer:

I think its 45 games

Step-by-step explanation:

75% times 60 = 45

*My school in middle school was rushed about math when we learned percent. Like the teachers were talking so fast, sorry if I'm wrong. <--- reason if I'm wrong.

Mariah025 answer here please

Answers

Answer:

wht

!?

............

..............

..

.

At a local fair, Molly sells bracelets. It costs her
$10 per bracelet for supplies and the local marke
charges her a one-time booth fee of $60. She
charges $20 for each bracelet.
a) Write a system of equations to represent this
situation (one equation for expenses and one
equation for income):

Answers

Answer:

10x + 60 ; 20x

Step-by-step explanation:

Given that:

Purchase price per bracelet = $10

Cost of booth = $60

Selling price per bracelet = $20

Hence,

Let number of bracelets = x

Expense equation :

(Price per bracelet * number of bracelet) + booth fee

(10 * x) + 60

10x + 60

Income equation :

Selling price * number of bracelets

20x

I need help on this one

Answers

Answer:

90

Step-by-step explanation:

you add 15 each time

75+15=90

Answer:

105

Step-by-step explanation:

sequence number x 3 = S1

S1 x 5 = S2

21 x 5 = 105

Timothy purchased a computer for $1000. The value of the computer depreciates by 20% every year.

Answers

Answer:

We can apply the straight-line method to solve for the value of the computer every year.

Step-by-step explanation:

Step one:

What is depreciation?

It can be defined as the loss of value of a commodity.

In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.

We are told that the computer cost is $1000

let the number of years taken for the computer to depreciate be x

Step two:

Say we want to find the value of the computer after 1 year, the value of the computer will be

Value of computer= 1000-20/100*1000

Value of computer= 1000-0.2*1000

Value of computer= 1000-200

Value of computer= $800

Step three:

For the second year, the value will be

Value of computer= 800-20/100*800

Value of computer= 800-0.2*800

Value of computer= 800-160

Value of computer= $640

Answer:

This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.

Step-by-step explanation:

PLATOOOOOO

A hair stylist offers haircuts and hair coloring to his customers. A haircut costs $18 and hair coloring costs $42. Yesterday, the hair stylist had 12 customers and earned a total of $288. How many of the hair stylists customers received hair coloring yesterday

Answers

Answer:

haircut =9 and hair color= 3

Step-by-step explanation:

Step one:

GIven data

let the haircut be x

and hair color be y in numbers.

so

18x+42y=288------------1

x+y=12---------------------2

from 1

x=12-y, put this in 2, we have

18(12-y)+42y=288

216-18y+42y=288

collect like terms

24y=288-216

24y=72

divide both sides by 24

y=72/24

y=3

put y= 3 in 2

x+3= 12

x= 12-3

x=9

Gabby has 20 coins in her pocket that are quarters, dimes, and nickels. The total value of the coins is $2.70. The number of nickels that she has is equal to the number of quarters plus the number of dimes. Choose the system of equations that can be solved to find the number of quarters, 9, dimes, d, and nickels, n, that Gabby has.

Answers

Answer:

There's 9 nickels and no dimes

Step-by-step explanation:

the quarters equal $2.25

so there is at least 9 nickel's witch equals .45 cents add them and get $2.70 so

The system of equations to find the number of quarters, 9, dim, d, and nickels, n, that Gabby has are;

n = q + dn = 10q +d = 10

Since, the total value of quarters, dim, and nicke is; $2.70.

Since the number of nickels that she has is equal to the number of quarters plus the number of dimes; we have;

n = q + d

Since, Gabby has 20 coins in her pocket.

n + q + d = 20

Therefore 2n = 20 from n = q + d

n = 10

Read more on system of equations:

https://brainly.com/question/20978003

Julie says that she can perform a magic trick with numbers. She asks you to pick a whole number, any whole number. Square that number. Then add twice the your original number. Next add 1. Take the square root of the result. Finally, subtract your original number. Then Julie exclaims with authority, "Your answer is 1." Is your answer 1?

Answers

Answer:

No

Step-by-step explanation:

I picked 2. Then got 4. Then 8. Then 9. Then 81. Then 79.(i dont know if this is right)

A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers generated are single-digit numbers?

Answers

Answer:

A. 0.0058

Step-by-step explanation:

Select the correct answer.
ОА
Which equation represents the line that is perpendicular to y = $5 + 23 and passes through (-40,2012
- 15
y = - = - 30
= 5 + 52
= - 56
ОВ.
Ос. y =
OD.

Answers

Answer:

The question is written kinda bad, so i take the next two assumptions:

The original line is:

y = 5*x + 23

And we want to find a perpendicular line that passes through the point (-40, 2012)

Suppose that we have a linear equation:

y = a*x + b

A perpendicular line to this one, will have a slope equal to -(1/a)

Then a random perpendicular line to the one above, is:

y = -(1/a)*x + c

In this case, we start with the line:

y = 5*x + 23

Then the family of perpendicular lines to this one, will be like:

y = (-1/5)*x + c

Where c can be any real number.

Now, we also want this line to pass through (-40, 2012)

This means that when x = -40, the value of y must be 2012

We could replace these values in our equation above and solve it for c.

2012 = -(1/5)*(-40) + c

2012 = 40/5 + c

2012 = 8 + c

2012 - 8 = c = 2004

Then the equation is:

y = -(1/5)*x + 2004.

Please help. I need to refresh my mind of this problem and a few more if you don't mind

Answers

Answer: c

Step-by-step explanation:

look at the equation and insert the value of X from the table into the equation and figure out which one will give you the same sum for the values. for example f(x) = 3(-2)-1

this answer gives you f(x)= -6 -1 which will give u a sum of -7

another one : f(x)= 3(0)-1

3 multiplied by 0 gives you 0 therefore you are left with -1

by doing this you prove that this equation works with ur x values and gives you the same sum you have for f(x)

Which of the following statements about “vesting periods” is TRUE?

Answers

What are the statements ?

15 = 5/ 3(x + 12) solve for x in simplest form

Answers

Answer:

x= -10 1/5 or -10.2

Step-by-step explanation:

Jayden's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.

Answers

Answer:

D= distance covered by amount (g) gallons

D=23g

Step-by-step explanation:

2 w = 2p - 3z
a Find w when p = 8 and z = -2

Answers

Answer:

11

Step-by-step explanation:

2w = 2×8 - (-2×3)

2w = 16 - (-6)

2w = 22

w = 11

Alazari rode her bike to school
then the hospital and back home.
If she lives 70 meters from school
and 60 meters to the hospital, how
far did she travel in all?
-

Answers

260meters because 70+70=140 and 60+60=120 which is 140+120=260
This answer applies to the question only if the 3 locations are collinear, if they are not I don’t believe that there is a possible solution for the problem

In March, you have $220 in your savings account. By the end of April, your savings have increased by 30%. How much money do you have in your savings account at the end of April?

Answers

Answer:

$286

Step-by-step explanation:

220:100=2.2

2.2 x 30 = 66

220+66=286

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