The population of a small town was 10,800 in 2002. Since then the population has decreased at a rate of 2.5% each year. Write an exponential function to model the situation then find the population of 2020

Answer:

r and t both = [tex]2\sqrt{2}[/tex]

o = 9

f = 18

Step-by-step explanation:

Answer:

y= -2x........eqn i

y=5x+3......eqn ii

substituting the value of Y from eqn i in eqn ii, we get,

-2x=5x+3

-7x=3

x= -3/7

so, y= -2x= -2× (-3/7)

so, y= 6/7

Answer:

p(x) = 500(1.02)^x

Step-by-step explanation:

I took the test and got a 100.

The exponential function is p(x) = 500(1.02)×, option (D) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]

where a is a constant and a>1

We have the functions given in the options:

As we know the standard form of the exponential function is:

f(x) = a(b)×

The exponential function will increase or decrease exponentially.

From the option:

p(x) = 500(1.02)×

p(x) is an exponential function.

Thus, the exponential function is p(x) = 500(1.02)×, option (D) is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ5

Answer:

6 1/2=5??

Step-by-step explanation:

so try 5-1/6 and divide by the 5 (if u get no answer pls dont be so quick to put i am still checking)

Answer:

128

Step-by-step explanation:

There are 2 lengths, 16 x 2 = 32. 48 - 32 = 16. 16 divded by 2 equals 8. 8 x 16 = 128.

The Area of Piece of Land is  = 150 +[tex]24\sqrt{11}[/tex]  squared yards

The area of a trapezium can be calculated using the lengths of two of its parallel sides and the distance (height) between them.

As the yard is in shape of Trapezium.

We have to find the area of trapezium.

Area of piece of property = Area of Triangle +  Area of rectangle + Area of Triangle

Area of Triangle I,

base = [tex]\sqrt{(13)^{2}{-(12)^{2}}[/tex] = [tex]\sqrt{169-144}[/tex]= 5yds

Area = [tex]\frac{1}{2}*b*h[/tex]

        =0.5 x 5 x 12

       = 30 squared yds

Area of rectangle = length x breadth

                             = 10 x 12

                             = 120 squared yds

Area if Triangle II, base = [tex]\sqrt{(15)^{2}{-(7)^{2}}[/tex]= [tex]\sqrt{225-49}[/tex]= [tex]4\sqrt{11}[/tex]

Area= [tex]\frac{1}{2}*b*h[/tex]

        =0.5 x [tex]4\sqrt{11}[/tex]  x 12

        = [tex]24\sqrt{11}[/tex] squared yds

Area of piece of land = 30 + 120 + [tex]24\sqrt{11}[/tex]

                                    = 150 +[tex]24\sqrt{11}[/tex] squared yards

Hence, the area of piece of land= 150 +[tex]24\sqrt{11}[/tex]  squared yards

Learn more about Area of Trapezium here:

https://brainly.com/question/16904048

#SPJ1

Step-by-step explanation:

13.

132 miles in 3 h = 132miles/3hours = 132/3 miles/h =

= 44 miles/h

so,

how long for 110 miles ?

speed = distance/time

time = distance/speed = 110 miles / 44 miles/h =

= 110/44 h = 55/22 h =

= 5/2 h = 2.5 h

14.

60% = 60/100 = 6/10 = 3/5

15.

300% = 300/100 = 3

16.

116 2/3% = (348 + 2)/3% = 350/3% = 350/3/100 =

= 350/300 = 1 50/300 = 1 1/6

17.

19% = 19/100

18.

3.8% = 3.8/100 = 38/1000 = 19/500

19.

166 2/3% = (498 + 2)/3% = 500/3% = 500/3/100 =

= 500/300 = 5/3 = 1 2/3

20.

4/5 = 0.8 = 80%

21.

7/4 = 1.75 = 175%

22.

1/3 = 0.3333333... ≈ 33.33%

23.

2 = 200/100 = 200%

24.

0.4 = 40%

25.

0.375 = 37.5/100 = 37.5%

26.

80% of 60 = 60×80/100 = 60×4/5 = 48

27.

24% of 65 = 65×24/100 = 65×6/25 = 13×6/5 =

= 15.6

28.

115% of 138 = 138×115/100 = 138×23/20 =

= 69×23/10 = 158.7

29.

18.3% of 74 = 74×18.3/100 = 74×183/1000 =

= 37×183/500 = 13.542 ≈ 13.54

30.

6.5% of 115 = 115×6.5/100 = 115×65/1000 =

= 23×13/40 = 7.475 ≈ 7.48

31.

0.75% of 93 = 93×0.75/100 = 93×75/10000 =

= 93×3/400 = 0.6975 ≈ 0.70

Answer:

8

Step-by-step explanation:

I hope this helps! If it does, please mark me Brainliest! Thanks in advance!

Answer:

585 m^2.

Step-by-step explanation:

Surface area = area of base + 4 * area of a triangular side

= 13^2 + 4 * 1/2 * 13 * 16

= 169 + 26 * 16

= 585

Answer:

585 m²

Step-by-step explanation:

The surface area of the given pyramid is made up of 4 congruent triangles and a square base.

Area of a triangle = 1/2 × base × height

                             = 1/2 × 13 × 16

                             = 104 m²

Area of a square = (base edge)²

                            = 13²

                            = 169 m²

Total Surface Area = area of 4 triangles + area of base square

                               = (4 × 104) + 169

                               = 416 + 169

                               = 585 m²

Answer:

0.0102 g

Step-by-step explanation: A common formula for determining the amount of sample remaining in terms of its half-life is

where

t = 50 000 yr

      Calculate n

n = 50 000/5730

n = 8.726

N₀ = 4.30 g                       Calculate N

N = 4.30 × 2.36 × 10⁻³

N₀ = 0.0102 g please mark me brainliest

Answer:

  0.0102 g

Step-by-step explanation:

You want to know the amount of C-14 remaining in a tree branch after 50,000 years if it originally had 4.30 grams, and C-14 has a half-life of 5730 years.

The number of grams (N) remaining is given by the formula ...

  N = N₀(1/2)^(t/5370)

where t is the number of years and N₀ is the initial amount of C-14.

The amount of C-14 remaining in the tree branch will be ...

  N = 4.30×(1/2)^(50000/5730) ≈ 0.010154 . . . . grams

This can be rounded several ways, depending on the criterion you choose.

The initial value 4.30 has 3 significant figures, so this could be rounded to 3 significant figures as 0.0102 g. This is the value we show at the top of this answer.

The initial value is accurate to a hundredth of a gram, so this could be rounded to a hundredth of a gram as 0.01 g.

The value 50,000 years has 1 significant digit, so we could round this to 1 significant digit as 0.01 g.

__

Additional comment

The problem statement gives the initial amount twice, once with 3 significant figures, and once with only 2 significant figures. If the answer is rounded to 2 significant figures, it would be 0.010 g.

There does not appear to be any justification for an answer of 0.0100 grams.

<95141404393>

Hello..!

If you say that the value of x is an integer then the number when divided by 3 which is "3x" will result in an integer:

[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf40 \div 3 = 13.33}}[/tex]

Option A) does NOT return an integer so it is not the answer.

[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf41 \div 3 = 13.66}}[/tex]

Option B) is also not the answer.

[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf42 \div 3 = 14}}[/tex]

Option C) does result in an integer but let's see the others:

[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf{43 \div 3 = 14.33}}}[/tex]

Option D) also does not return an integer.

[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \sf{44 \div 3 = 14.66}}[/tex]

And lastly option E) does not result in an integer so the only one that results in an integer is option C) and that is the 42nd answer.

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf{\sf \orange\longmapsto{ \red{C) \: \green{42°} }}}[/tex]

So, the correct part is C)42°

Answer:

The result is

Hope this helped

Answer:

Yes

Step-by-step explanation:

Some examples:

1. Bowling balls

2. Basketball balls

3. Volleyball balls

4. Tennis balls

Answer:

yes

Step-by-step explanation:

you have to use trigonometry to find the area of a parallelogram without the height.

the formula is: Area = ab(sin(x))

Where a and b are the length of parallel sides and x is the angle between the sides of the parallelogram.

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex] to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

[tex]nt = 4 \times 30 = 120[/tex]

[tex]r/n = 0.065/4 = .01625[/tex]

[tex]1 + r/n = 1.01625[/tex]

[tex](1 + r/n)^{nt} = 1.01625^{120}[/tex]

Therefore

[tex]A = 25000 \times 1.0625^{120} = 172,984.44[/tex]

Answer:

You will have $172,984.44

Answer:

Option (C)

Step-by-step explanation:

Domain of function is defined by the set of x-values (input values) and Range of a function is a set of y-values (output values).

From the graph attached,

Domain of f(x) → Set of all real numbers

Range of f(x) → y-values > 0

Domain of [tex]y > 0[/tex] → Set of all real numbers

Range of [tex]y > 0[/tex] → y < 2

Therefore, domain of both the functions is a set of all real numbers.

Option (C) is the correct option.

Answer:

Its c

Step-by-step explanation:

I just did the test on edge

Answer:

[tex]t_n=n[/tex]

Step-by-step explanation:

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

Given sequence: 1, 2, 3, 4, 5, ...

Therefore:

Substituting the given values into the formula:

[tex]\implies t_n=1+(n-1)1[/tex]

[tex]\implies t_n=1+n-1[/tex]

[tex]\implies t_n=n[/tex]

Therefore, [tex]t_n=n[/tex]

Answer:407%

Step-by-step explanation:

Answer:

0.91666666666 hope this helps

just literally divide

Answer:

  (a)  46°

  (b)  86°

Step-by-step explanation:

When the secants cross externally (figure a), the angle where they cross is half the difference of the subtended arcs.

When they cross internally (figure b), the angle is half the sum of the subtended arcs.

__

Half the difference of arcs VW and VX is ...

  ∠VYW = 1/2(160° -68°) = 46°

  m∠VYW = 46°

__

Half the sum of arcs AB and CD is ...

  ∠CED = 1/2(arc AB +arc CD)

  2×∠CED = arc AB +arc CD . . . . . multiply by 2

  2×∠CED -arc AB = arc CD . . . . . subtract arc AB

  arc CD = 2×85° -84° = 86°

  m arc CD = 86°

Step-by-step explanation:

The unit circle is a circle in the form of

[tex] {x}^{2} + {y}^{2} = 1[/tex]

while x = cos t

y= sin t

, where t is an angle

So we plug in -1/7, for x to find y

[tex]( \frac{ - 1}{7} ) {}^{2} + {y}^{2} = 1[/tex]

[tex] {y}^{2} = \frac{49}{49} - \frac{1}{49} [/tex]

[tex]y = \frac{4 \sqrt{3} }{7} [/tex]

If the point is in the 2nd quadrant, your value of y is positive

If it in the third quadrant, the y value is negative

Answer:

B. photographs

Step-by-step explanation:

Answer:

[tex]30x^{2} -105x+60[/tex]

Step-by-step explanation:

I just solved it.

(5x-20)(6x+3)

5x•6x=30x^2

5x•3=15x

-20•6x=-120x

-20•3=-60

Pls give Brainliest.

Answer:

153.86 ft squared

Step-by-step explanation:

A = πr^2
A = 3.14(7)^2
A = 3.14*49
A = 153.86

Hope this helps, good luck on the test!

Answer:

  261 in²

Step-by-step explanation:

The surface area of a square pyramid can be found from the formula ...

  A = s(s +2h)

where s is the side length of the base and h is the slant height of a face.

__

For s = 9 in, and h = 10 in, the surface area is ...

  A = (9 in)(9 in +2×10 in) = (9·29) in² = 261 in²

The surface area of the square pyramid is 261 square inches.

Answer:

a) 80
b) 56

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Answer:

a) 117.75

Step-by-step explanation:

3.14 * 2.5^2=19.625

19.625*6=117.75

Answer:

C.  16 : 22

Step-by-step explanation:

Given:

Ratio of apples trees to orange trees:

⇒ apple : orange

⇒ 16 : 22

Answer:

x² + 6.8² - 10.6²

Step-by-step explanation:

This is probably wrong there

Answer:

First option  [tex]x^{2} +6.8^{2} -10.6^{2}[/tex]

Step-by-step explanation:

[tex]x^{2} +6.8^{2} -10.6^{2}=0[/tex]

[tex]x^{2} =10.6^{2} -6.8^{2}[/tex]

10.6 = hypotenuse, 6.8 and "x" are cathets

Hope this helps

Answer:

Average per floor = 162 dollars.

Step-by-step explanation:

Remark

First find the number of floors

Then make a total   income received from those floors.

Then divide the total income by the number of floors, to get the average

Number of floors

Total number of floors = 6 + 2 + 1 = 9 floors

Total income

Total income = cost per floor * the number of floors.

Total income

6 * 140 =  840

2 * 220 = 440

1 * 178   = 178

Total    = 1458

Average income / Floor

Average income / Floor = Total amount / number of floors

Average Income / Floor = 1458 / 9 =  162