To investigate housing needs in the future, a town planning committee
created a model to help predict the growth of the population of the town. The
data are shown in the table.

Answers

Answer 1

Answer:

P(t) = 5.24(1.030)^t

Step-by-step explanation:

Answer 2

The model for P(t) , the population of the town, t years after 1985, best fits the data is option C. P(t) = 5.35 (1.029)^t.

What is Population Growth?

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Population growth is an exponential function.

So, the function will be of the form,

P(t) = a (b)^t

Initial population is the population in 1985.

P(0) = a (b)⁰ = 5.35

⇒ a × 1 = 5.35  (Since any number raised to 0 is 1)

⇒ a = 5.35

Population in 1990, that is after 5 years is,

P(5) = a (b)⁵ = 6.01

⇒ 5.35 (b)⁵ = 6.01

⇒ (b)⁵ = 1.123

⇒ b = 1.024

So the function which best models is P(t) = 5.35 (1.029)^t.

Hence the function is C. P(t) = 5.35 (1.029)^t.

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To Investigate Housing Needs In The Future, A Town Planning Committeecreated A Model To Help Predict

Related Questions

18(3x+1)+3 ; x=2 evaluate the expression for the given value of the variable.

Answers

Answer:

Not sure but I think the answer is 129

Step-by-step explanation:

first, substitute the value of x in the expression like this

18(3*2+1)+3

after substituting, our work has made easier

18(6+1)+3

18(7)+3 or simply 18*7+3

126+3

129

in what category does sugar, brown sugar, butter, eggs, vanilla, flour , unsweetened coca power , baking soda , salt & chocolate chips ? help please i’ll give extra points

Answers

Eggs goes in dairy and everything else goes in other

PLS HELP ASAP AAA TYSMM
The coordinates of the vertices of a triangle are A(1,2), B(4,5), and C(4,2). Find triangle A’B’C’ by translating triangle ABC 2 units to the right and 3 units down. Write: (1) the algebraic rule that describes the transformations and (2) the coordinates of A’B’C’.

Answers

Answer:

Parallelogram ABCD was translated to parallelogram A'B'C'D'. ... When ΔRST is translated 4 units down, what is the coordinate of T'? ... C.​ ​7 units left and 5 units down. B. 7 units right and 5 units up. D. ... If the triangle DOG with coordinates (2, 2), (2, 10), (8, 6) is translated six units left and three units.

Step-by-step explanation:

What is the perimeter of the rectangle shown?

Answers

Answer:

74

Step-by-step explanation:

14+14+23+23=74

Opposite sides of a rectangle are congruent or have the same length.

Now, the perimeter of a rectangle is just the

distance around the outside of the figure.

So we add up the dimension, which are the length and width.

So we have 14 + 14 + 23 + 23 which is 74 yd.

Solve for x.
-6x +1 = -11
Help please

Answers

Answer:

x=2

Step-by-step explanation:

if you move the constant to the right, than calculate than divide both sides you should get x=2

1. Albert Einstein is driving down a country road at the speed of light. Just kidding. He's
actually going an average of 70 miles an hour. He started driving at 3 PM exactly and
arrived at his destination at 5:27 PM. If we need to calculate the distance from his starting
point to his destination, our answer will be in which units?
A. Miles
B. Hours
C. Miles per hour
D. Kilometers

Answers

Answer:

C. Miles per hour

Step-by-step explanation:

Answer:

c. miles per hour

Step-by-step explanation:

because he was driving in miles an hour

kiaras monthly rent increased from $425 to $480 whats the percent increase in her rent rounded to the nearest tenth of a percent​

Answers

Answer:

1.1

Step-by-step explanation:

480/425=1.129

There was a 1.129 rent increase but you round to the nearest tenth so 1.1

in the graph above, what's the distance between (-1, -4) and (-1, 5)

Answers

Answer:

9  

Step-by-step explanation:

5-(-4) =

5 + 4 = 9

Hope that helps!9

write a letter to a friend in another town invite him or her to spend Christmas holidays with you​

Answers

Answer:

hey my friend please come over to spend the Christmas holidays with me and my family this year. If you are afraid of your dad it's ok I'll ask my mom to call him and ask him

Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Kara’s room?

A. 13 feet
B. 25 feet
C. 26 feet
D. 38 feet

Answers

Answer:

13 ft

Step-by-step explanation:

To find the perimeter of a rectangle you have to add the four sides of the rectangle, you have two sides and know the perimeter, this will help you find the length of her room. 12 ft is the width, add 12+12 and you have 24. The perimeter is 50 so subtract 24 from 50 and you have 26 that is the length times two, so divide 26 by 2. Now you have 13, so the length of her room is 13 feet.

Hope you understand now! :)

The answer is 13 feet (A)

The logarithm of a number to the base V2 is k. What is its logarithm to the base 2v2 ?​

Answers

Answer:

[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]

Step-by-step explanation:

Given

Let the number be X

From the first statement, we have:

[tex]log_{\sqrt 2} X = k[/tex]

Required

Find [tex]log_{2\sqrt 2} X[/tex]

[tex]log_{\sqrt 2} X = k[/tex]

using the following law of logarithm

[tex]log_ab = n, b=a^n[/tex]

So:

[tex]log_{\sqrt 2} X = k[/tex]

[tex]X = \sqrt{2}^k[/tex]

Substitute: [tex]X = \sqrt{2}^k[/tex] in [tex]log_{2\sqrt 2} X[/tex]

[tex]log_{2\sqrt 2} X = log_{2\sqrt 2} ( \sqrt{2}^k)[/tex]

[tex]log_{2\sqrt 2} X = klog_{2\sqrt 2} \sqrt{2}[/tex]

Apply the following law:

[tex]log_ab = \frac{log\ b}{log\ a}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{log\ \sqrt 2}{log\ {2\sqrt 2}}[/tex]

Express the square roots as power

[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2 * 2^\frac{1}{2}}}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2^\frac{3}{2}}}[/tex]

using the following law of logarithm

[tex]log_ab = n, b=a^n[/tex]

[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}log\ 2}{\frac{3}{2}log\ 2}}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}}{\frac{3}{2}}}[/tex]

Rewrite as:

[tex]log_{2\sqrt 2} X = k * \frac{1}{2} \div\frac{3}{2}[/tex]

[tex]log_{2\sqrt 2} X = k * \frac{1}{2} *\frac{2}{3}[/tex]

[tex]log_{2\sqrt 2} X = k * \frac{1}{1} *\frac{1}{3}[/tex]

[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]

Need help ASAP QUESTION 13

Answers

Answer:

maybe this can help........... wait is it a time quiz

Step-by-step explanation:

A factory worker finds 26 products are defective out of a random sample of 400
products. Based on the results, about how many of the 56,000 products produced this
month can be expected to be defective?

Answers

Answer: 36,400

Step-by-step explanation:

Answer:

Step-by-step explanation:

36,400

Solve 2x²-x-6=0 by factorisation

Answers

Answer:

x = 2, x = -3/2

Step-by-step explanation:

Factors to be (x-2)(2x+3) = 0

x =2, x = -3/2

Answer:

Step-by-step explanation:

2x²-x-6=0

2x²-(4-3)x-6=0

2x²-4x+3x-6=0

2x(x-2)+3(x-2)=0

(x-2)(2x+3)=0

Please help ASAP please and thank you have a great and blessed day!

Answers

Answer:

Step-by-step explanation:

4X15=60 9X5=45

Answer:

Multiples:

9: 9, 18, 27, 36, 45, 54, 63...

15: 15, 30, 45, 60, 75...

LCM: 45

Equivalent Fractions: 25/45 and 12/45

y o u s h a l l g e t 50 p o i n t s
i f y o u a n s w e r t h i s

Answers

Answer: 1.) 10

Step-by-step explanation:

-4 + 4 = 0

0 + 6 = 6

6 + 4 = 10

Answer:

3. Z=10 4. B=60

Step-by-step explanation:

For number 3 we work backwards. So, 6 - (-4) would equal 10. To check this -4  + 10 = 6. For number 4, we also work backwards, so 12 x 5 = 60. To check this 60/5 = 12. So z = 10 B = 60.

I'm in a test please help

Select ALL the correct answers. A bicycle manufacturer uses the given expression to model the monthly profit from sales of a new model of bicycle, where x is the selling price of one bicycle, in dollars. -12 + 3001 20,000 At what selling prices for the bicycle will the manufacturer make neither a profit nor a loss? $50
$250
$200
$100
$150
$300​

Answers

Select ALL the correct answers. A bicycle manufacturer uses the given expression to model the monthly profit from sales of a new model of bicycle, where x is the selling price of one bicycle, in dollars. -12 + 3001 20,000 At what selling prices for the bicycle will the manufacturer make neither a profit nor a loss? $50

answer 250

I need help for that^^

Answers

Answer:

1<x<3

x <  -4

Hopefully that helps :)

complete the table. percent discount 25% sale price $40
whats the og price

Answers

Answer: 30$

Step-by-step explanation:

40 x.25 = 10,
40-10= $30

x^4 − 3x^2 − 90 x= -3

Answers

Answer:

-36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

x⁴ - 3x² - 90

x = -3

Step 2: Evaluate

Substitute in x:                                                                                                  (-3)⁴ - 3(-3)² - 90Exponents:                                                                                                        81 - 3(9) - 90Multiply:                                                                                                             81 - 27 - 90Subtract:                                                                                                            54 - 90Subtract:                                                                                                            -36

Of 75is90 =120 true or false

Answers

Answer:

False

Step-by-step explanation:

A party rental company has chairs and tables for rent. the total cost to rent 5 chairs and 3 tables is $ 27. The total cost to rent 2 chairs and 12 tables is $81.

cost to rent each chair=

cost to rent each table=​

Answers

Answer:

14 and 16

Step-by-step explanation:

nryjettutwi523iwtietiitqy25

aiko is biulding a tower out of paper she starts by making 2 congruent circular bases she then makes 1 curved surface sor the body of the tower what 3 dimensional figure does aiko biuld

Answers

cylinder

Step-by-step explanation:

the basses is top and bottom so if there circular on top and bottom and curved surface for the body its a cylinder

Harry is reviewing his finances. He compiled a list of expenses and income. Which bar chart that accurately represents Harry's situation.
Expenses
Income
rent
$1,150.00 paycheck March 2 $1,068.16
insurance payment $187.00 paycheck March 16 $1,068.16
groceries
$423.62 paycheck March 30 $1,068.15
utilities
$124.18
cell phone
$84.33
car loan payment
$365.36
Harry's Finances
Harry's Finances
5,000
3,000
2,500
4,000
2,000
3,000
1,500
2,000
1,000
1,000
500
0
0
Expenses Income
Harry's Finances
Expenses Income
Harry's Finances
O

Answers

Answer:

The answer is the (Expenses is between 2,000-2,500) and the (Income is  over 3,000)

Step-by-step explanation:

I just took the test i got it right

The bar chart that accurately represents Harry's situation is the one that shows his (Expenses that is between 2,000-2,500) and his (Income that is over 3,000).

What is a A bar chart?

This is also known as a bar graph. It is seen as a chart or graph that depicts a kind of categorical data via the use of rectangular bars that has heights or lengths which are known to be proportional to the values that they stand for.

Note that the bars are often plotted vertically or horizontally and as such, The bar chart that accurately represents Harry's situation is the one that shows his (Expenses that is between 2,000-2,500) and his (Income that is over 3,000).

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PLEASE HELP ME DUE IN 10 MIN

Answers

Answer:

108

Step-by-step explanation:

9=height

12=wideness

9times12=108

an airplane cruises 1 kilometer in 1/12 of a minute. what is its cruising speed?

Answers

Answer:

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?200

Write and solve a system of equations to determine how many tickets were sold before and at the music festival. PLEASE HELPPP

Answers

b = number of tickets sold before

a = number of tickets sold after

cost of a ticket = number of tickets times cost per ticket

before cost = 39.95b

after cost = 54.95a

total cost = 925000

39.95b + 54.95a = 925000

total number tickets = 20000

b + a = 20000

we have

39.95b + 54.95a = 925000

b + a = 20000

multiply second equation by -39.95 and add to first equation

39.95b + 54.95a = 925000

-39.95b-39.95a = -799000 +

0b+15a = 126000

15a = 126000

divide bot sides by 15

a = 8400

sub back

b + a = 20000

b+8400 = 20000

minus 8400 both sides

b = 11600

11,600 tickets sold before

8400 tickets sold after

Is it a function yes or no

Answers

Answer:

no

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The Spanish Club has 78 members, 42 girls and 36 boys. What is the ratio of
girls to boys in the Spanish Club?
A. 6:7
B. 8:7
O C. 7:6

Answers

Answer:

C. 7:6

Step-by-step explanation:

Take your ratio 42 (G): 36 (B) and divide both numbers by six. This comes out to 7 (G): 6 (B) which is the simplest form of this ratio.

Find the sum:(12x-14)+(2x+3)

Answers

Answer:

x= -0.785

Step-by-step explanation:

12x plus 2x equals 14x

negative 14 plus 3 equals negative 11

negative 11 divided by 14 equals x

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