The population in Smalltown in 2010 was 45,230 people and is growing exponentially at a
rate of 2%. What will the population be in 2030?
O 67,475
O 81.928
O 67.209
O 82.414

Answers

Answer 1

Answer:

The first option

67475

Step-by-step explanation:

Step one:

Given data

The population in Smalltown in 2010 was 45,230

rate= 2%= 0.02

time t= 20 years

Step two:

Let P(t) = population t years after 2010  

              = 45230e^0.02t

 

Population in 2030 = P(20)

                                = 45230e^0.02t(20)

                                  = 45230e^0.4

                                  ≈ 67475

Answer 2

Answer:

A

Step-by-step explanation:

Just adding in from the previous answer too, bc I thought it would be wrong but it wasn't


Related Questions

Help me please:(for brainiest:(

Answers

Answer:

The first equation is -8y

The second equation is -16.2h

Step-by-step explanation:

Hope that helps you out! :)

4y-12y is -8y

-3.7h + h - 13.5h is -16.2h

plsssssss help 5/6 x 7/8

Answers

35/48 or 0.7916repeating. not sure what you need it written as

At the market, Meyer buys a bunch of bananas for $0.65 per pound and a frozen pizza for $4.99. The total for his purchase was $6.94, without tax. How many pounds of bananas did Meyer buy?

Answers

Answer:

Well, 6.94 - 4.99 = 1.95 also that divided by 0.65 = 3 So it is 3  pounds of bananas

Step-by-step explanation:

P.S can I have brainliest?

3 pounds
6.94-4.99=1.95
1.95*0.65=3
3

WILL GIVE BRAINLIESt:

Given: ∆ABC, AC = 5

m∠C = 90°

m∠A = 22°

Find: Perimeter of ∆ABC

Answers

Perimeter of ΔABC is 12.41 units.

From the picture attached,

ΔABC is a right trianglem(AC) = 5 unitsm(∠C) = 90°m∠A = 22°

Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] and sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

For angle A,

Adjacent side = AC = 5 units

Opposite side = BC

and Hypotenuse = AB

By substituting the values in the cosine ratio,

cos(22°) = [tex]\frac{5}{AB}[/tex]

AB = [tex]\frac{5}{\text{cos}(22^{\circ})}[/tex]

      = 5.39

Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(22°) = [tex]\frac{BC}{5.39}[/tex]

BC = 5.39[sin(22°)]

     = 2.02

Since perimeter of the given triangle ABC = AB + BC + AC

By substituting the measures of all sides in the expression of the perimeter,

Perimeter = 5.39 + 2.02 + 5

                 = 12.41 units.

         Therefore, perimeter of the given triangle is 12.41 units.

Learn more,

https://brainly.com/question/5993308

Will mark brainliest for whoever answers

Answers

Answer:

a; r=1 is the answer

Step-by-step explanation:

Answer:

c).r=1

Step-by-step explanation:

hope this help

pick me as the brainliest

Given A = P + PRT, Solve for T

Answers

Answer:

C. T = (A - P) / (PR)

Step-by-step explanation:

A = P + PRT

A - P = PRT

(A - P) / (PR) = T

When Ramon looked out at the school parking lot, he noticed that for every 3 minivans, there were 7 other types of vehicles. If there are a total of 150 vehicles in the parking lot, how many of them are minivans?

Answers

Answer:

Step-by-step explanation:

If there were 3 vans for every 7 cars, then there were 3 vans for every 10 of the total in the lot. Use a proportion to solve this:

[tex]\frac{vans}{total}:\frac{3}{10}=\frac{x}{150}[/tex] and cross multiply to get

10x = 450

so x = 45

There are 45 vans in the lot.

5th question
answer Plss​

Answers

Answer:

no

Step-by-step explanation:

57 isnt a prime number

rob is asked to graph this system of equations: 6x + 2y = 5; y + 3x =2; how many times will the lines intersect? A. there is no way to tell without graphing the lines first. B. the lines will not intersect, cuz the system only has one system. C. the lines will intersect once. D. the lines will intersect more than once.

Answers

Answer:

  C

Step-by-step explanation:

A and B are wrong and with D they wouldn't be lines so imma go with C.

Sorry if it's wrong.

An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?

Answers

Answer:

2.2 m/s

Step-by-step explanation:

Step one

Given data

An earthquake wave travels through 55 km

hence distance = 55 km

time taken = 25 seconds

Required

the expression relating t and d

Step two:

we know that velocity is

Speed= distance/time

speed= 55/25

Speed= 2.2 m/s

Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs. Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs.

Answers

Answer:

28 soccer balls.

Step-by-step explanation:

Let there are 7x basketball and 6x soccer balls.

A sports store donates basketballs and soccer balls to the boys and girls club.

The store donates 24 soccer balls.

It means,

6x = 24

x = 4

No of basketballs = 7x

= 7(4)

= 28

Hence, the store denote 28 soccer balls.

Please answer the question below

Answers

the answer is c which is the number 12

4. Find the slope of the line
that passes through the two points.
(2.8) (10,2)

Answers

Answer:

-3/4

Step-by-step explanation:

y2-y1/x2-x1

2-8/10-2

-6/8

-3/4

If f (x)=3^5-x + 6, what is the value of f (5), to the nearest tenth?

Answers

Answer:

240

Step-by-step explanation:

3^5 - 5 + 6

243 - 5 = 238+6= 244

240?

Deon had $25. Then he spent $15 on lunch. What percentage of his money did Deon spend on lunch?​

Answers

Answer:

Deon spent 60% of his money on lunch.

Step-by-step explanation:

Write an
explicit formula for the sequence 6,2,-2,-6-10, ... Then find the 1st term.

Answers

Answer:

Step-by-step explanation:6232821

I really need help :(

Answers

The correct answer is A
The answer is C. AY explanation:

Find the slope between the following two points: (3, 1), (5, 4).

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Grandma Gertrude gave 131313 pieces of jewelry and Grandma Fien gave yyy pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 555 Carlson sisters. How many pieces of jewelry did each sister receive?

Answers

Answer: (13 + y) / 5

Step-by-step explanation:

Since Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters, the total jewellery given to the sisters will be:

= 13 + y

Since there are 5 Carlson sisters, the number of pieces of jewelry that each sister receive will be:

= Total jewelries / Number of sisters

= (13 + y) / 5

Answer:Grandma Gertrude gave 131313 pieces of jewelry and Grandma Fien gave yyy pieces, so the sisters received a total of 13+y13+y13, plus, y pieces of jewelry.

The sisters divided the 13+y13+y13, plus, y pieces of jewelry evenly among themselves, and there were 555 sisters. So each sister received \dfrac{13+y}{5}

5

13+y

start fraction, 13, plus, y, divided by, 5, end fraction pieces of jewelry.

Each sister received \dfrac{13+y}{5}

5

13+y

start fraction, 13, plus, y, divided by, 5, end fraction pieces of jewelry.

x⁴+x²+1+x⁴64445555555555555555

Answers

Answer:

2x⁴ + x² + 64445555555555555556

help please!

Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.

Answers

Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.

Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.

What is congruence?

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.

As per the given graph,

Triangle GHI and triangle DEF are plotted.

If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.

And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.

Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".

To learn more about congruence,

https://brainly.com/question/12413243

#SPJ5

Determine whether the table of values below represents a linear function. If it represents a linear function, write the function. If it does not represent a linear function, explain why not.

Answers

Answer:

The equation of a linear function is:

[tex]y = 2x+4[/tex]

Step-by-step explanation:

Given the table

x                    y

-10               -16

-3                 -2

1                    6

2                   8

Determining the slope between the points (-10, -16), (-3, -2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]

[tex]m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}[/tex]

[tex]m=2[/tex]

Determining the slope between the points (-3, -2), (1, 6)

[tex]m=\frac{6-\left(-2\right)}{1-\left(-3\right)}[/tex]

[tex]m=2[/tex]

Determining the slope between the points (1, 6),(2, 8)

[tex]m=\frac{8-6}{2-1}[/tex]

[tex]m = 2[/tex]

As the slope between the points is the same. Thus, the table represents the linear function.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 2 and any point let say (1, 6)

[tex]y - 6 = 2(x-1)[/tex]

[tex]y-6 = 2x-2[/tex]

[tex]y = 2x-2+6[/tex]

[tex]y = 2x+4[/tex]

Therefore, the equation of a linear function is:

[tex]y = 2x+4[/tex]

Identify the constant of proportionality.

Answers

Answer:

14

Step-by-step explanation:

If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!

(26+5)•2-15

Please show with step

Answers

(26+5)•2-15
31•2-15
62-15
47
That’s step by step

Answer:

47

Step-by-step explanation:

(26+5) • 2-15

Follow Pemdas

P.E.M.D.A.S

Parenthesis first

31•2-15

Multiplication next

62-15

47

4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is

Answers

Answer:

Step-by-step explanation:

If Sheila buys

200 shares for 18.25

200*18.25==3650

she sells them for

200*32.50=6500

her profit is

6500-3650=2850.00

another way to solve this would be

32.50-18.25=14.25

14.25*200=2850

√ 25 –2√3 + √27 +2√ 9 Express in simplified radical

Answers

Answer:

The expression in simplified radical  form is:

√ 25 –2√3 + √27 +2√ 9 = 11 + √3

Step-by-step explanation:

Given the expression

√ 25 –2√3 + √27 +2√ 9

as

√ 25 = 5

√27 = 3√3

2√9 = 6

so the expression becomes

√ 25 –2√3 + √27 +2√ 9

= 5 - 2√3 + 3√3 + 6

= 11 + √3

Thus, the expression in simplified radical  form is:

√ 25 –2√3 + √27 +2√ 9 = 11 + √3

16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio

Answers

Answer:

10

Step-by-step explanation:

16/20=8/10

16/2=8

20/2=10

16 pearls/20opals=8perals/10opals

Mia's soccer coach told her to keep track of how much water she drinks. Yesterday she drank 18 ounces with breakfast, 21 ounces with lunch, and 19 ounces with dinner. She also finished 2 full 12-ounce bottles of water during soccer practice. >) Mia works out that she drank 82 ounces of water in total. Does that sound about right?​

Answers

yes, 82 ounces is the correct answer.

solve the following equation: 8x^2 = 2x

Answers

Answer:

x = 0, x = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

8x² = 2x ( subtract 2x from both sides )

8x² - 2x = 0 ( factor out 2x from each term )

2x(4x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]

Divide up the number 72 in a 2:3:4 ratio.
pls
no trolling last one was trolling i think

Answers

Answer:

16:24:32

Step-by-step explanation:

So you add all the 2+3+4 and you’ll get 9

Now divide 72/9, you’ll get 8

now multiply 8 on all the ratios

2*8=16

3*8=24

4*8=32

now put them together

16:24:32

Answer:16:24:32

Step-by-step explanation:

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