What is the equation of the line shown in the graph?​

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:

A

Step-by-step explanation:

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

Answer:

19/9 i think

Step-by-step explanation:

Answer:

The inches in height will be 18 inches.

Step-by-step explanation:

Okay so we know that the original width is 4 inches and she enlarged that to 12 inches

So what we first have to do is find out how much did the photograph "grow" per se. To find this we have to divide 12 by 4. 12 divided by 4 = 3.

So, the width of the photograph grew "times 3" inches

Now whatever you do to the width you have to do to the height. In this case, what is "3 times" 6 (which is the height). 3 times 6 = 18 inches

So in simpler words 12 divided 4 = 3 x 6 = 18 inches

The inches in height will be 18 inches.

Jill has a square with a width of 12 inches, and a height of 18 inches.

Have a wonderful day!

Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)

Answer:

4400*7.5%=330+315=$645 a week

Step-by-step explanation:

Dilations change the size of an object or image. In this case, a city map changes the city's size and makes it smaller so that it can be read.

Given:

The units sold follows the equation

[tex]U = 10000-2000P[/tex]

To find:

An equation for sales as a function of price.​

Solution:

Let S represents the sales function.

We know that, the money from sales is equal to the units sold times the price P of the unit.

[tex]S=U\times P[/tex]

[tex]S=(10000-2000P)\times P[/tex]

Using distributive property, we get

[tex]S=10000P-2000P^2[/tex]

Therefore, the equation for sales as a function of price is [tex]S=10000P-2000P^2[/tex].

Answer:

10 minutes!

Step-by-step explanation:

140 * 10(min) = 1,400

4000 - 1,400 = 2,600 ft

so will take 10 minutes for the plane to descend 1,400 ft

Answer:

10 minutes

Step-by-step explanation:

in five minutes it will descend by 700 feet so multiply that by 2 you get 1400 and thats how much to add and thats 10 minutes so 10

answer:

3x + 2

YOUR WELCOME MARK BRAINLIEST

Answer:

18

Step-by-step explanation:

Parantheses

Exponents

Multiply

Division

Adding

Subtracting

Answer:

What are the answers?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Use PEMDAS in order to solve

Answer:

A) y = -1/2x + 2

Step-by-step explanation:

The line is negative, so you will have a negative slope

The line is crossing the y- axis at 2 so the y- intercept is 2.

Now do rise over run or rise/run

The lines rise is 2 and the run is 4

2/4 = 1/2 and since the line is negative the slope is negative -1/2

y = -1/2x + 2

Hope this helps ya!!

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, - 1 ] , then

f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )

f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus

average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

Answer:

$1.48

Step-by-step explanation:

Answer:

5) 2(4 - n) = -3n

2 × 4 - 2 × n = -3n

8 - 2n = -3n

-2n + 3n = -8

1n = -8

n = -8/1

n = -8

6) 5 - 3(2 + 2w) = -7

5 - 3 × 2 + -3 × 2w = -7

5 - 6 - 6w = -7

-1 - 6w = -7

-6w = -7 + 1

-6w = -6

w = -6/-6

w = 1

7) 5(2r + 3) - 5 = 0

5 × 2r + 5 × 3 - 5 = 0

10r + 15 - 5 = 0

10r + 10 = 0

10r = -10

r = -10/10

r = -1

8) 3 - 5(2d - 3) = 4

3 - 5 × 2d - 5 × -3 = 4

3 - 10d + 15 = 4

-10d + 15 + 3 = 4

-10d + 18 = 4

-10d = 4 - 18

-10d = -14

d = -14/-10

d = 7/5

hope this helps you!!

Answer:

-3/5

Step-by-step explanation:

using the picture and the rise over run method, you can see that from the coordinate farthest to the right, you move 3 spaces up (positive), and 5 spaces to the left (negative), which gives you your answer of -3/5.

You can also use the formula to find the slope:

1) y₂-y₁/x₂-x₁

2) -2-1/1-(-4)

3) -3/5

Answer:

do you have pictures and more measurements so i can solve the problem for you?

Step-by-step explanation:

Answer: 5t + (10x2) i believe. I don’t know what the question was but i’m guessing they wanted to know the equation..!

Step-by-step explanation: first ... add all the people up in the family which is 5 then you times that by a variable and since they bought all of them t- shirts the variable will be ‘t’ so that’s 5t then take 10x2 since they bought two pairs of sandals which cost $10 for each pair and your equation will be 5t + (10x2)

1. Occasionally a savings account may actually pay interest compounded continuously. For each​ deposit, find the interest earned if interest is compounded​ (a) semiannually,​ (b) quarterly,​ (c) monthly,​ (d) daily, and​ (e) continuously. Use 1 year = 365 days.

Principal ​$1031

Rate 1.4%

Time 3 years

Answer:

a) $ 44.07

b) $ 44.15

c) $ 44.20

d) $ 44.22

e) $ 44.22

Step-by-step explanation:

The formula to find the total amount earned using compound interest is given as:

A = P(1 + r/n)^nt

Where A = Total amount earned after time t

P = Principal = $1031

r = Interest rate = 1.4%

n = compounding frequency

t = Time in years = 3 years

For each​ deposit, find the interest earned if interest is compounded

(a) semiannually

This means the interest is compounded 2 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/2) ^2 × 3

A = 1031 (1 + 0.007)^6

A = $ 1,075.07

A = P + I where

I = A - P

I = $1075.07 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.07

​(b) quarterly

This means the interest is compounded 4 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/4) ^4 × 3

A = 1031 (1 + 0.014/4)^12

A = $ 1,075.15

I = A - P

I = $1075.15 - $1031

A = P + I where

P (principal) = $ 1,031.00

I (interest) = $ 44.15

(c) monthly,

​ This means the interest is compounded 12 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/12) ^12 × 3

A = 1031 (1 + 0.014/12)^36

A = $ 1,075.20

A = P + I where

I = A - P

I = $1075.20 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.20

(d) daily,Use 1 year = 365 days

This means the interest is compounded 365 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/365) ^2 × 3

A = 1031 (1 + 0.00365)^365 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

(e) continuously. .

This means the interest is compounded 2 times in a year

Hence:

A = Pe^rt

A = 1031 × e ^0.014 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

Answer:

40%

Step-by-step explanation:

Answer:

it will be 40%

Step-by-step explanation:

because the formula of getting the answer is 48/120×100 which is 40

Answer:

63 more points

Step-by-step explanation:

275(goal) - 212(current points) = 63(points needed)

Check your work: 212+63=275

He needs to score 63 points

Answer:

1. 4 feet

2. 8 quarts

3. 3 kilometers

4. 1.50 kilograms

5. 28 cups

6. 5 meters

7. 900 meters

Step-by-step explanation:

Answer:

20 cars

Step-by-step explanation:

10,000 ÷ 500 = 20

Answer:

2 cars

Step-by-step explanation:

4,000 + 500 = 4,500 x 2 =10,000

thus its 2 cars

Answer:

This free slope calculator solves for multiple parameters involving slope and the equation of a line. It accepts inputs of two known points, or one known point

Step-by-step explanation:

there is no need to that and I'm in 5th grade and that is easy peasy lemon squeezy cuz my last name is lemon

Answer:

x = 14

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. 21x+6=300 X=14, 21x14=294+6=300.

Answer:

6 ounces of juice

Step-by-step explanation:

Answer:

12 ounces

Step-by-step explanation:

A mom mixes 9 ounces of juice with 3 ounces of water. This means that the total ounces of drink= 9+3 = 12 ounces. The percent of the drink which is juice is: Ratio of the quantity of juice to the total quantity of drink and multiplying this obtained quantity by 100.

Answer:

16

Step-by-step explanation:

Answer:

2 tacos

Step-by-step explanation:

10 × 2 = 20

1 × 2 = 2