Complete the table and fill in the last

Answer:

P(t) = 5.24(1.030)^t

Step-by-step explanation:

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.

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.

Learn more about population Growth here :

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Your question is incomplete. The complete question is given in the image below.

Answer:

7/1

Step-by-step explanation:

A reciprocal means you flip the numerator and the denominator (the top number and the bottom number) so In this case the reciprocal for 1/7 s 7/1.

Hope I could help!

Answer:

a = -30

d = -32 - (-30) = -2

n = 96

So, using A.P. formula-

Tn = a + (n-1) d

T96 = -30 + (96-1) -2

T96 = -30 + (95) -2

T96 = -30 - 190

T96 = -220

plz mark as brainliest

Answer:

16π

Step-by-step explanation:

Area= 64π

or, πr²= 64π

or, r²= 64

r= 8

circumference= 2πr= 2×π×8 = 16π

Answer:

AD = 13

Step-by-step explanation:

Area of trapezoid ABCD

[tex] = \frac{1}{2} (AB + AD) \times AB \\ \\ 525= \frac{1}{2} (37+ AD) \times21\\ \\ 525 \times 2= (37+ AD) \times21 \\ \\ 1050 = 21 \times 37 + 21AD \\ \\ 1050 = 777+ 21AD \\ \\ 21AD = 1050 - 777 \\ \\ 21AD = 273 \\ \\ AD = \frac{273}{21} \\ \\ AD = 13[/tex]

Answer:

12

Step-by-step explanation:

I cannot necessarily "make" a triangle, but I do know that the dimensions or measurements of the triangle would be:

area = 36 units

base = 9 units

height = 8 units

Answer:

Step-by-step explanation:

What are the choices

Answer:

mariannas design has the lowest valley floor over the first 6 inches of the design

Step-by-step explanation:

correct.

Answer:

Length= 68 miles

Width=28 miles.

Step-by-step explanation:

Length=2x+12

Width=x

2x+12+x=96

3x+12=96

3x=96-12

3x=84

X=28

Width=28

Length=(2×28)+12=68

Answer:

13

cuz one of those square part = to 90 degrease

so 77 degrease is already shown so minus 90-77

and u get 14

Answer:

x = 13°

Step-by-step explanation:

Angles 77° and BGE are vertical and thus equal angles.  Angle x and BGE are complementary angles; thus, x + 77° = 90°.  Solving this for x, we get:

x = 13°

Answer:

=4x6−x3+x−3

Step-by-step explanation:

Answer:

The degree of this polynomial is 6

Step-by-step explanation:

You write the greatest exponent

Step-by-step explanation:

the question of your answer is d

Answer:

Step-by-step explanation:

Answer:

c i took the test and got that one right

Step-by-step explanation:

Answer:

I'm pretty sure it is D because they're not super close to the line they're more spread out but I'm not rly sure

REFER THE ATTACHMENT ABOVE ☝☝☝☝

Answer:

[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]

RESULT

Use ratio and proportion.

Let x be the time it takes Dionne to fold 210 packing boxes:

[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]

So, it will take Dionne 60 minutes to fold 210 packing boxes.

Let y be the time it takes Elias to fold 210 packing boxes:

[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]

So, it will take Elias 70 minutes to fold 210 packing boxes.

Answer:

Goes up and to the left

Step-by-step explanation:

Answer: x = 16

Step-by-step explanation:

60x - 60 = 900

60x = 960

60x / 60 = 960 / 60

x = 16

Answer: thats the answer

Step-by-step explanation:

Answer:

Y= -3/2x + 2

If the y-intercept was negative it would be y= -3/2-2

Answer: =125.6

Step-by-step explanation:

Add 26.5 to both sides of the equation

Simplify

Answer:

-62760

Step-by-step explanation:

9514 1404 393

Answer:

  13/18

Step-by-step explanation:

5 of the 18 students have a cat, so 13 of them do not.

The probability that a student in the group does not have a cat is 13/18.

Answer: The unit for Warren’s data is the number of cars sold each day.

Sorry for the answer being so late!

Answer:

1. 1/2

2. 99/100

3. 3/20

4. 2

Answer: 4

Step-by-step explanation:

We can write the equation as

[tex]x(x-1)^{2}(x^{2}+2x+3)=0\\\\x=0, 1, -1 \pm i\sqrt{2}[/tex]

Therefore, there are 4 distinct roots.

Answer:

[tex]19.9+0.05t<25[/tex]

Less than 102 text messages.

Step-by-step explanation:

Monthly charge of cell phone = $19.90

Cost of one text message = $0.05

Let number of text messages be [tex]t[/tex]

The monthly bill should be less than $25. So,

[tex]19.9+0.05t<25[/tex]

The required inequality is [tex]19.9+0.05t<25[/tex]

[tex]19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<\dfrac{5.1}{0.05}\\\Rightarrow t<102[/tex]

So, the number of text messages that can be sent while keeping the bill under $25 is less than 102.