Population Growth Using 20th-century U.S. census data,

the population of Ohio can be modeled by

12.79

P(1) =

1 + 2.402,-0.0309

where P is the population in millions and r is the number of

years since April 1, 1900. Based on this model, when was the

population of Ohio 10 million?

Answers

Answer 1

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

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Population Growth Using 20th-century U.S. Census Data,the Population Of Ohio Can Be Modeled By12.79P(1)

Related Questions

write the birds an order from shortest egg to longest egg
canda goose 3 2/5 Robin 3/4 turtle dove 1 1/5 raven 1 1/9

Answers

Answer:

roben,dove,raven  ,goose

Step-by-step explaunation:

you need to change them to the same denominator *first*

Answer:

Robin, Raven, Turtle dove, Canada goose.

Step-by-step explanation:

We are given the size of the eggs.

Canada goose: 3 2/5 Units = 17/5 UnitsRobin: 3/4 UnitsTurtle dove: 1 1/5 Units = 6/5 UnitsRaven: 1 1/9 Units = 10/9 Units

Now, we need to put the sizes of eggs in ascending order.

=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]

Step 1: Make the denominators same.

=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]

=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]

Step 2: Order these egg sizes in ascending order.

=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]

=> [tex]\frac{135}{180},\frac{200}{180},\frac{216}{180},\frac{612}{180}[/tex]

Step 3: Match the sizes of the eggs with the bird.

Robin, Raven, Turtle dove, Canada goose.

Final Answer: So, after working on this problem, we can conclude that the ascending order of bird's eggs size is:

Robin, Raven, Turtle dove, Canada goose.

Hoped this helped.

How can you tell if you are finished solving a polynomial division problem?

Answers

The polynomial division problem can be concluded finished if; their is no remainder or the Divisor is larger than the remainder.

According to the question:

We are required to determine when a polynomial division problem is finished.

In polynomials, the division of a polynomial NY the Divisor gIves a quotient and a remainder.

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There are two numbers the second number is 1 larger than twice the first number. The sum of the reciprocals of the number is 7/10. Find the two numbers.​

Answers

Let the first no be x

second no=2x+1

ATQ

[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]

[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]

On solving we get

[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]

Take it 2

First no=2

Second no=5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = 2x + 1                   ...1

1/x + 1/y = 7/10           ...2

From equations 1 and 2, then we have

1/x + 1/(2x + 1) = 7/10

10(2x + 1 + x) = 7x(2x + 1)

30x + 10 = 14x² + 7x

14x² - 23x - 10 = 0

14x² - 28x + 5x - 10 = 0

14x(x - 2) + 5(x - 2) = 0

(14x + 5)(x - 2) = 0

x = 2, - 5/14

At x = 2, then the value of y is given as,

y = 2 (2) + 1

y = 5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

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A zebra can run at a constant speed of 0.60 miles per minute. How far can a zebra run in 30 minutes? Choose the equation that could be used to answer this question

Answers

Answer:

0.6x30=18

Step-by-step explanation:

18 miles would be how far it ran.

You didn't give us any answer choices for which equation, so I would say the equation I wrote could work.

Answer:

0.6 × 30 = 18

Step-by-step explanation:

You multiply the two values to get 18:

0.6 * 30 = 18

Hope that helps! :)

Please help me pretty please​

Answers

Answer:

805, 835, 865, 885

Step-by-step explanation:

divided into 20 parts

900-800=100

100/20=5

each part is 5

first one is 1 part away from 800

800+5=805

second one is 7 away from 800

800+7*5=835

third one is 7 away from 900

900-7*5=865

fourth one is 3 away from 900

900-3*5=885

Answer:

Solution :

Here we can see that horizontal line divided into 20 vertical lines between the horizontal line. Then,

= 900 - 800

= 100

Finding the value of 1 vertical line.

➝ 1 line = 100

➝ 1 line = 100/20

1 line = 5

Hence, 1 line = 5

Finding part 1 :

➝ 800 + (1 × 5)

➝ 800 + 5

805

Finding part 7 :

➝ 800 + (7 × 5)

➝ 800 + 35

835

Finding part 13 :

➝ 800 + (13 × 5)

➝ 800 + 65

865

Finding part 17 :

➝ 800 + (17 × 5)

➝ 800 + 85

885

Hence, the answer is 805, 835, 865, 885.

The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining Inventory for a particular item and the
number of days that have passed since the stock was replenished.

Which type of function best models the relationship between the number of days and the inventory remaining?

Answers

Answer:

y = -2.8x +69.4

Step-by-step explanation:

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:

... y -y1 = (y2-y1)/(x2 -x1)(x -x1)

Filling in the given point values, we have ...

... y -61 = (33 -61)/(13 -3)(x -3)

Simplifying and adding 61, we get ...

... y = -2.8x +69.4

The linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .

What is linear function?

A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.

According to the given equation

We have a graph which shows the remaining inventory.

In which x represents the number of days and y represents the inventory remaining.

Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.

Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.

Substitute y = 30 and x = 14 in y = mx + b

⇒ [tex]30 = m(14) + b...(i)[/tex]

Similarly,

substitute y =65 and x =2 in y = mx + b

⇒[tex]65 = 2m + b..(ii)[/tex]

From equation (i) and (ii)

[tex]m = \frac{-35}{12}[/tex]

and [tex]\frac{50}{3}[/tex]

Therefore, [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex]

Hence, the linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .

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help pls its due tomorrow ill give brainliest

Answers

Answer: It’s C

Step-by-step explanation:

Betty is 3 times as old as Mike. In 5 years, she will be twice as old. How old are they now?

Answers

Answer:

Betty is 15.

Mike is 5.

Step-by-step explanation:

We can let Betty's age be b and Mike's age be m.

Since Betty's age is 3 times of Mike, then

[tex]b=3m[/tex]

In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.

Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].

We know that [tex]b=3m[/tex], so we can substitute that:

[tex]3m+5=2(m+5)[/tex]

Expand:

[tex]3m+5=2m+10[/tex]

Subtract 5 from both sides:

[tex]3m+5-5=2m+10-5[/tex]

[tex]3m=2m+5[/tex]

Subtract 2m from both sides:

[tex]3m-2m=2m+5-2m[/tex]

[tex]m=5[/tex].

Mike is 5 years old.

Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]

Help me solve this-> g(x) = 2x + 3



g(7) =

Answers

Answer:

17

Step-by-step explanation:

it's sufficient to set x=7

g(7)=2×7+3=14+3=17

Answer:

g(7)=2.7+3=17

+3 - (+7)
Can someone help pls!?​

Answers

Answer:

Step-by-step explanation:

+3 - (+ 7) = 3 + (-7) = -4

Both integers have different sign. So, subtract and  the result will have the sign of bigger number. Here bigger number is 7 and sign of 7 is (-). So, answer will be (-4)

The amount of time operators of a popular amusement park ride spend loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes), write an inequality to describe how many cycles of the ride, at most, can be completed on a Saturday. Explain each term in your inequality.

Also how do you give a brainliest person

Answers

Answer:

200 + 3x + 5x ≤ 720

(or simplified, 200 + 8x ≤ 720)

and x = 65

Step-by-step explanation:

x represents the number of rides

3 + 5 = 8

720-200 = 520

520/8 = 65

The inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality showed greater than and less than the relationship between variables and the numbers.

Given that the number of time operators of a popular amusement park ride spends loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes),

The inequality will be written as below,

200 + 3x + 5x ≤ 720

Here, x represents the number of rides

3 + 5 = 8

720-200 = 520

520/8 = 65

Therefore, the inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.

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does anyone know how to do this..?

Answers

Answer:

a. x=29, b. x=62

Step-by-step explanation:

a. since this is an isosceles triangle, two angles are equal. we also know that the exterior angle of one side equals the other 2 interior angles. so we have 2x=58, simplify to get x=29

b. same as a, we have x-17 + 38 = 2x-41. simplify to get x+21 = 2x-41. subtract x and add 41 to both sides to get x=62

i can't see all of 2 so i can't help you with that one sorry

Ok done. Thank to me :>

Will took a nap for 2 hours and 40 minutes. If he woke up at 5:05 what time was it when he started his nap

Answers

2:15 because when you add 2 hrs you get 4:15. Add another 40 min and you get 5:05.

answer: 2:15

explaination :

Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.

Answers

Answer:

Check attached

Step-by-step explanation:

[] The first one you add

    () -8 + 9 = 1

    () -2/5 + 1/5 = -1/5

    () 1/1 = 5/5, 5/5 - 1/5 = 4/5

[] The second one you subtract, the + and - become a -

    () 9 - 5 = 4

    () 2/5 - 3/5 = -1/5

    () 4 - 1/5 = 3 4/5

    () 3 * 5 = 15, 15 + 4 = 19/5

[] The third one you add

    () 2 + 2 = 4

    () 1/5 + 2/5 = 3/5

    () 4* 5 = 20, 20 + 3 = 23/5

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

what is the distance between 24 ft and 10 ft

Answers

Answer:

the distance is 14 feet. hope this helps

4. Aidan wrote the interval (-5, 4) and claimed it was equivalent to the graph below. Explain what he did
wrong and correct his mistake.

Answers

Please attach the graph so I can help you. :)

HELP PLZ ︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎​

Answers

ok done. Thank to me :>

Please help me answer this ASAP

Answers

Answer:

1.15x - 0.7x

Step-by-step explanation:

You take the manufacturer’s price and add 15 percent, then subtract 70 percent of the used price from the retail price to get the answer.

what is the probability of drawing a red marble then a white marble if there are 3 red marbles and 2 white marbles

Answers

Answer:

3/5

Step-by-step explanation:

Just don’t understand the question to get the answer

Answers

Answer:

not sure if u saw the comment but

7 and 8 are congruent, and 8 is congruent to 10

that maybe the rest of the answer

how do i simplify these?
. X x X x X
.Y x Y x Y x Y x Y

Answers

Hello!

X*X*X=X times X times X = X³

Y*Y*Y*Y*Y=Y times Y times Y times Y times Y= Y⁵

Hope it helps you! :)

Let me know if you have any query or need further explanation. :)

~A determined gal

[tex]MagicalNature[/tex]

Jenna wants to deposit £1300 in a bank for 1 year.The Independent bank will pay her £2 per month.The Jubilee Bank will pay her interest at 3% per annum.Which Bank should Jenna choose? What do I do help​

Answers

answer is The Jubilee bank

Write an expression.
1 a. 49 divided by the difference of x and 2

Answers

Answer:

x + 2

--------

49

Step-by-step explanation:

that's the answer

49 ÷ ( x - 2)


That’s your expression

A limousine cost 75,000 new but deprecates at rate of 23% per year what is the value of the limousine after five years

Answers

Answer:

$20,300.88

Step-by-step explanation:

First Year : 75,000x(1-23%)

Second Year: 75,000x(1-23%)x(1-23%)

=75,000x(1-23%)^2

Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)

=75,000x(1-23%)^3

x Year : 75,000x(1-23%)^x              (Analogical Reasoning)

Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5

23%=0.23 1-23%=1-0.23=0.77

Therefore Fifth Year: 75000x(0.77)^5=$20300.88

Find each indicated length if A is the midpoint of XZ and B is the midpoint of YZ (please help asap!!)

Answers

Answer:

Step-by-step explanation:

We have to think that the median and the side is parallel to are one small and one big, and that the small one is half of that big one and that the big one is the small one doubled.

AB = 8 ( the small one ) then XY = 2* 8 = 16 ( the big one)

AB = 3 then  XY = 2* 3 = 6

AB = 2.5 then XY = 2*2.4 = 5

XY = 18 ( the big one)  then AB = 18/2 = 9 ( the small one)

XY = 4 then AB = 2/2 = 2

XY = 9 then AB = 9/2 = 4.5

−2/3x = 10y – 2 written in standard form

Answers

Answer:

-2x=30y-6

2x+30y-6=0

Step-by-step explanation:

Write equations for the horizontal and vertical lines passing through the point (-4,2)

Answers

Answer:

y=2

x=-4

hope this helps!

if 8 boxes contain 480 pins how many pin will there be in 3 boxes​

Answers

Answer:

180

Step-by-step explanation:

Write a recursive formula for the explicit formula

A(n) = -1 + (n-1)(-2)

Answers

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found by adding a common difference to the previous term

Given the explicit formula

A(n) = - 1 + (n - 1)(- 2)

This is an arithmetic sequence with explicit formula

A(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

For the given explicit formula, then

a₁ = - 1 and d = - 2

The recursive formula is then

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 2 ; a₁ = - 1

Aaliyah has a points card for a movie theater,
• She receives 30 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
• She needs at least 125 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits
Aaliyah can make to earn her first free movie ticket.

Answers

Answer:

30 +12.5v ≥ 125v ≥ 7.6

Step-by-step explanation:

Aaliyah wants her accumulated points to be at least 125. Her accumulated points will be ...

  (reward points) + (visit points)×(number of visits)

  30 +12.5v ≥ 125 . . . . . the inequality

__

  12.5v ≥ 95 . . . . . . . subtract 30

  v ≥ 7.6 . . . . . . . . divide by 12.5; the solution to the inequality

Aaliyah will need to make 8 visits to earn her first free ticket.

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