Population grows.
The population of Boston, MA in 2019 was
692,600 people with an annual rate of increase
1.4%. In what year the population of Boston
will reach 1,000,000 people, if the grows rate
stays the same? The function describing
population grows is P(x)=692,600 - 1.014,
where x is number of years.

Answers

Answer 1

Population are often modelled by exponential functions

The population will reach 1000000 people after 26.5 years

The population function is given as:

[tex]P(x) = 692600 \times 1.014^x[/tex]

When the population reaches 1000000 people, we have:

P(x) = 1000000

So, the equation becomes

[tex]1000000 = 692600 \times 1.014^x[/tex]

Divide both sides by 692600

[tex]1.444=1.014^x[/tex]

Take logarithm of both sides

[tex]log(1.444)=log(1.014)^x[/tex]

Apply logarithm to both sides

[tex]log(1.444)=xlog(1.014)[/tex]

Make x the subject

[tex]x = \frac{log(1.444)}{log(1.014)}[/tex]

Solve the logarithms of 1.444 and 1.014

[tex]x = \frac{0.15957}{0.00603}[/tex]

Divide

[tex]x = 26.5[/tex]

The value of x, is the number of years the population reaches 1000000 people.

Hence, the population will reach 1000000 people after 26.5 years

Read more about population at:

https://brainly.com/question/24581924


Related Questions

HELPPP PLEASE!! HELPP ASAPP

Answers

Answer:

I would go option a

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

Option 2 is better because for option one after 15 years your going up $7500 and with option 2 your going up 14062.5 in 15 years.

SOMEBODY PLZ HELP NO LINKS PLZ AN THANK YOU
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at he time. A line that models the data is given by the equation y=-1.62x + 18 where y represents the wait time and x represents the number of staff available. Use the equation to make a conjecture about the wait if there are 10 staff members available


A the wait time will be about 18 minutes

B the wait time will be about 5 minutes

C the wait time will be about - 2 minutes

D the wait time will be about 2 minutes

Answers

Answer:

im not too sure but B

Step-by-step explanation:

Ten minus three tenths of n

Answers

Answer:

[tex]10 - \frac{3}{10} n[/tex]

Step-by-step explanation:

hope that is right and hope it helps

What is the range of the following function, if the domain is {1,3,12}?
f(x) = x - 3

Answers

I think this is the answer ( −∞,∞)

Equation for 13 divided by 4 equals 3.25

Answers

Answer: 13 ÷ 4 = 3.25 or [tex]\frac{13}{4} = 3.25[/tex] (Both means the same thing but you can pick which equation you want0

Step-by-step explanation: Hope this helps! :D

A town’s population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000. If this trend continues, predict the population in 2016.

Answers

The approximate population in 2016 is 91, 604 population

Let the time taken by the population to increase be "t"Let the number of the population be P

The exponential equation representing the statement is [tex]P=P_0e^t[/tex]

If in 2010 the population was 56,000, then at t = 0, P0 = 56000

Substituting into the formula will give:

P = 56000

If by 2012 the population had increased to 81,000, then:

81000 =  56000e^12k

81000/56000 = e^12k

1.4464 = e^12k

ln1.4464 = 12k

0.3691 = 12k

k = 0.3690/12

k = 0.03076

Get the prediction of the population in 2016.

[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]

Hence the approximate population in 2016 is 91, 604 population

Learn more on exponential function here:https://brainly.com/question/2456547

4. Molly has 20 tomato plants to arrange in her garden. What are all the ways Molly can arrange the tomato plants in an array?​

Answers

The number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

Find the image attached. From the figure, we can see that there are 6 rows in the array.

If there are 20 tomato plants, the ways Molly can arrange the tomato plants in an array is expressed according to the permutation formula:

20P6 = 20!/(20-6)!

20P6 = 20!/14!

20P6 =  20 * 19 * 18 * 17 * 16 * 15

20P6 = 27,907,200

Hence the number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

Learn more on permutation formula here: https://brainly.com/question/12468032

Mrs. Jerry wants her 25 students to each have 48 buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are 15 buttons in each bag. How many bags of buttons does Mrs. Jeremy need to buy so she has exactly enough buttons for 25 students?

Answers

Answer:

3 bags

Step-by-step explanation:

add 15 x 15 x 15 and you should have enough bags

PLEASE HELP!!! I ONLY HAVE A FEW MINUTES!!

Answers

Answer:

y=0.25x-6

Step-by-step explanation:

correct?````````````````````````````

Answers

Yeah you’re already correct

(02.06)If a piece of ribbon is 6 and 1 over 4. feet long, how long is it in inches? 25 inches 72 inches 75 inches 84 inches

Answers

Answer:

C

Step-by-step explanation:

1 foot = 12 inches                          Find 1/4 foot in inches

1/4 a foot = 1/4 * 12 = 3 inches

6 1/4 feet = (6 + 1/4) * 12

=72 + 3

75 inches

Solve using substitution.
y = -9x - 8
y = -6x – 2
Please help

Answers

Answer:

y = 10; x = -2

Step-by-step explanation:

Because both are equal to y, you can set them equal to each other.

-9x - 8 = -6x - 2

- 6 = 3x

x = -2

y = -9(-2) - 8 = 10

11. Given a matrix A, what is A^1?
A=[0 12 0 1]

Answers

[tex]\text{Since det(A) = 0, the inverse of the matrix does not exist.}[/tex]

If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b

Answers

Answer:

Step-by-step explanation:

a+√b

a-√b

26.52 x 90.7 step by step

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]26.52[/tex] × [tex]90.7 = 2405.364[/tex]

[tex]OR:[/tex]

Here's a paper I wrote of your answer.

Sorry, if my picture is blurry.

Hopefully, this helps you!!

[tex]Sokka[/tex]

PLS HELP HELLLLLOPPPPPP PLEASSSS BRO IM LITERALLY GONNA CRY

Answers

Answer:

F The last option

{ n = 7 h - 2}

{ n = 4 h - 2}

Step-by-step explanation: I HOPE THIS HELPS

Answer:

it's

n=2h+4

n=2h+7

(and vice versa)

The given represent 7 necklace and 4 necklace,that means add it to the no.of necklace they can make every hour and that is 2. So the correct equation is in the above answers.

Step-by-step explanation:

I hope it helps you a lot dude lovelots

#LEARN WITH BRAINLY

Select all equations that have 5
as a solution by using substitution to determine if the eqution is true.

Answers

1 is A I am sure I hope this helped

plssssssssss help me Graph y= –73x+2.

Answers

Refer to the attachment for the graph.

[tex]\mathbb{MIREU} [/tex]

a positive integer is 9 more than 14 times another. their product is 12035. Find the two integers

Answers

Answer:

415 and 29

Step-by-step explanation:

x = 14y+9

xy = 12035

(14y+9)y = 12035

y = -415/14 and 29 but it's a positive integer

so y = 29

x = 14(29)+9

x = 415

send help send help send help

Answers

Answer:

B answer answer

[tex]the \: answer \: is \: b[/tex]

The sum of three consecutive odd numbers is 987. Find the numbers.

Answers

Answer:

Step-by-step explanation:

Let first odd number = a, second odd number = a +2, third odd number = a + 4

a + a + 2 + a + 4 = 987

3a + 6 = 987

3a = 981

a = 327

First odd number = a = 327

Second odd number = a + 2 = 329

Third odd number = a + 4 = 331

HELP THIS IS MY 2ND ATTEMPT

Answers

Answer:

8 1/10

Step-by-step explanation:

mark brainliest if correct

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)

Select the correct answer. This table represents the boiling point of water at different altitudes.Which equation represents water's boiling point (y) based on the change in altitude (x)? Altitude (thousands of feet) Boiling Point of Water (Fahrenheit) (sea level) 0 212 0.5 211.1 1.0 210 2.0 208.4 2.5 207.5 3.0 206.6 4.0 204.8 4.5 203.9

Answers

Answer:

Step-by-step explanation:

The net income reported on the income statement for the current year was $135,500 depreciation recorded on store equipment for the year amounted to $22,400 balances of the current asset and current libaility accounts at the beginning and end of the year are as follows

a) x+(3x÷2y)
b) (b⁹)²×b⁵÷b¹¹=
c) (4²)⁶×4⁷÷4¹⁶=​

Answers

Answer:

a) x+3x/2y or (3x+2xy)/2y

b) b^12

c) 4^3 or 64

Step-by-step explanation:

estimate 127600 multipled by 0.93​

Answers

Answer : 115,200

Step - by - step explanation :

sorry if this is wrong !

127,600 --> 128,000

0.93 --> 0.90

128,000 x 0.90 = 115,200

You deposit $300 each month into an account earning 4% interest compounded monthly. How much will you have in the account in 35 years and how much total interest will you earn?

Answers

Answer:

Step-by-step explanation:

FV = PMT [((1 + r)ⁿ - 1) / r]

PMT = $300

r = 0.04/12

n = 35(12) = 420

FV = $300 [((1 + (0.04/12))⁴²⁰ - 1) / (0.04/12)] = $274,119.28

I = $274,119.28 - 300(420) = $148,119.28

40x^-4 y^-6/(over)10x^-5 y^5

Answers

Answer:

4x/y¹¹

Step-by-step explanation:

1) take out constants

40/10 * x⁻⁴y⁻⁶/x⁻⁵y⁵

2) simplify 40/10 to 4

4 * x⁻⁴y⁻⁶/x⁻⁵y⁵

3) Use Quotient Rule: xᵃ/xᵇ=xᵃ⁻ᵇ

4x⁻⁴⁺⁵y⁻⁶⁻⁵

4) Simplify -4 + 5 to 1

4x¹y⁻⁶⁻⁵

5) simplify -6-5 to -11

4x¹y⁻¹¹

6) use rule of one: ₓ¹=ₓ

4xy⁻¹¹

7) use negative power rule: x⁻ᵃ=1/xᵃ

4x * 1/y¹¹

8) simplify

4x/y¹¹

What’s the difference for this equation!!!

Answers

–(x^2–2x+12) would become –x^2+2x–12.

3x^2+9x+13 – x^2+2x–12

= 2x^2 + 11x – 1

Answer:

2x^2 + 11x – 1

Step-by-step explanation:

Mandy spins a biased spinner 3 times. The probability that the spinner will land on blue on all 3 spins is 27/512 Calculate the probability that when the spinner is spun 3 times it does not land on blue on any of the spins​

Answers

Answer:

0.158203125

i think

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