Do the organic prices vary directly with the conventional prices? If so, identify k. Does the total cost of organic apples vary directly with the number of pounds of organic apples purchased? If so, identify k.
THE RIGHT ANSWER IS (i just had to answer my own question so that other people can get it but just copy and paste this thanks :) )

no, this is not a direct variation
yes this is a direct variation with k=2.34

2

Answer:

The interest on the investment is $16,170.93811

Step-by-step explanation:

The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where

∵ The investment is $45,000

∴ P = 45,000

∵ The interest on the investment is compounded annually at 5.25%

∴ r = 5.25% = 5.25 ÷ 100

∴ r = 0.0525

∴ n = 1 ⇒ compound annually

∵ It is for 6 years

∴ t = 6

→ Substitute them in the rule above

∵ [tex]A=45,000(1+\frac{0.0525}{1})^{1(6)}[/tex]

∴ [tex]A=45,000(1.0525)^{6}[/tex]

∴ A = 61,170.93811

∵ I = A - P, where I is the interest

∴ I = 61,170.93811 - 45,000

∴ I = 16,170.93811

∴ The interest on the investment is $16,170.93811

Answer:

9) 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Bisect means in half so both angles equal each other, meaning the equations equal each other.

2x+7 = 4x-9

Subtract 4x from both sides

-2x+7 = -9

Subtract 7 from both sides

-2x = -16

x = 8, so the answer is the third choice

Bisect means in half so both angles equal each other, meaning the equations equal each other.

2x+7 = 4x-9

Subtract 4x from both sides

-2x+7 = -9

Subtract 7 from both sides

-2x = -16

x = 8, so the answer is the third choice

Answer:

The answer is letter F po

Step-by-step explanation:

Use the formula

(b2)2 in order to create a new term. Solve for x

by using this term to complete the square.

Exact Form:x=±√17+5

Answer:

$2,323.2

Step-by-step explanation:

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

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

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

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

Answer:

150

Step-by-step explanation:

Answer:

y = 150x + 400

Explanation:

Slope intercept form is :    y = mx + b

B is the y intercept, you can also think of it like a starting value, in this case Susan starts with $400 dollars

M is the slope, you can also think of it like a value that is consistently changing over time, in this case Susan saves(or earns) $150 each month.

If you want to figure how much money she will have in a certain number of months, plug the number of months (x), into the x in     y = 150x + 400.

Answer:

If the lines BC and DE are parallel, the value of c is c=-2

Step-by-step explanation:

We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints  D(c, -7) and E(5, -3).

Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c

When 2 lines are parallel there slope is same.

So, Slope of line BC =Slope of Line DE

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

We have:

[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]

Putting values and finding c

[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]

So, If the lines BC and DE are parallel, the value of c is c=-2

Answer:

-23

Step-by-step explanation:

the equation of the line is y=-2/3x-23 so the b in the equation (y=mx+b) is the y int so that is -23

Answer:

B. 16.4°

Step-by-step explanation:

reference angle = x = [tex] \theta [/tex]

Side length opposite to x = 20 ft = opp

Adjacent side length = 68 ft = adj

Apply the following trigonometric ratios formula:

[tex] tan(\theta) = \frac{opp}{adj} [/tex]

Plug in the values into the formula

[tex] tan(x) = \frac{20}{68} [/tex]

[tex] tan(x) = 0.2941 [/tex]

[tex] x = tan^{-1}(0.2941) [/tex]

[tex] x = 16.3886 [/tex]

x = 16.4° (nearest tenth)

Answer:

B. 16.4

Step-by-step explanation:

Answer:

The better deal is $32.05/15 gal

Step-by-step explanation:

Divide:

56/25

=2.24

32.05/15

=2.13666667

=2.14

Answer:  The required amount of money spent on each of the two video games is less than or equal to 45.25.

Step-by-step explanation:  Given that Zachary is planning to send a video game to each of his two brothers. He buys the same game for both brothers and pays $4.75 to ship each game.

We are to write and solve an inequality find the amount spent on each game without spending more than $100.

Let $x be the amount that is spent on each of the two video games.

Then, according to the given information, the inequality can be written and solved as follows :

Thus, the required amount of money spent on each of the two video games is less than or equal to 45.25.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

$0.15

Step-by-step explanation:

Cost of each pounds of banana = $0.80

Number of pounds of banana = 2 1/4 pounds

Total cost of banana = $0.80 × 2 1/4 pounds

= 0.80 × 9/4

= 0.80 × 2.25

= 1.8

Total cost of banana = $1.8

Cost of each pounds of strawberry = $1.10

Number of pounds of strawberry = 1 1/2 pounds

Total cost of strawberry = $1.10 × 1 1/2 pounds

= 1.10 × 3/2

= 1.10 × 1.5

= 1.65

Total cost of strawberry = $1.65

How much more did Megan spend on bananas than on strawberries?

Total cost of banana - Total cost of strawberry

= $1.8 - $1.65

= $0.15

Answer:

$0.15

Step-by-step explanation:

Cost of each pounds of banana = $0.80

Number of pounds of banana = 2 1/4 pounds

Total cost of banana = $0.80 × 2 1/4 pounds

= 0.80 × 9/4

= 0.80 × 2.25

= 1.8

Total cost of banana = $1.8

Cost of each pounds of strawberry = $1.10

Number of pounds of strawberry = 1 1/2 pounds

Total cost of strawberry = $1.10 × 1 1/2 pounds

= 1.10 × 3/2

= 1.10 × 1.5

= 1.65

Total cost of strawberry = $1.65

How much more did Megan spend on bananas than on strawberries?

Total cost of banana - Total cost of strawberry

= $1.8 - $1.65

= $0.15

Answer:

the smaller number is 13 and the larger number is 67

Answer: $22.50, but rounded to the nearest dollar its $23.00 Hope this helps :)

Step-by-step explanation: The unit rate it 1/0.75

Answer:

f=2 c=4

Step-by-step explanation:

8 times 2 equals 16 plus 2 times 4 equals 24 in total.

Answer:

n/56 divided by 3/24 would be 1/7n

Step-by-step explanation:

Answer:

Here are 5 (2,4), (3,6), (1,2), (4,8), (5,10)

Step-by-step explanation:

Given :

The ratio of collectable cards Deshawn owns to cards that Stephanie owns is 5:2.

Stephanie has 36 cards.

To Find :

How will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.

Solution :

Number of card Deshawn had, n = 5/2 × 36

n = 90 .

Number of card after they sell half there cards :

[tex]n_D = \dfrac{90}{2}=45[/tex]

[tex]n_S=\dfrac{36}{2}=18[/tex]

Therefore, new ratio is [tex]\dfrac{45}{18}=5 : 2[/tex].

So, new ratio will be same.

Answer: A

Step-by-step explanation:

Answer:

(0,-1)

Step-by-step explanation:

because the line crosses through (0,-1) the vertex is (0,-4)

Answer:

750 meters

Step-by-step explanation:

In order to calculate the total amount of ribbon that she needs, we need to multiply the amount of ribbon that each bow needs by the total number of bows that need to be made. Since we are given both of these values we simply multiply and solve for x which is the total amount of ribbon that Nicole needs.

1000 * 0.75 = 750 meters

Therefore, Nicole needs a total of 750 meters to make all of the needed bows.

Answer:

Function B

Step-by-step explanation:

✍️Rate of change for Function A:

Using any two pairs from the table of values given, say, (0, 1) and (4, 2):

Rate of change = [tex] \frac{y_2 - y_1}{x_2 -x_1} = \frac{2 - 1}{4 - 0} = \frac{1}{4} [/tex]

Rate of change for function A = ¼ = 0.25

✍️Rate of change for Function B:

Equation for Function B is given in the slope-intercept format, y = mx + b.

m = slope = rate of change.

Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.

Rate of change of Function B = 0.75.

✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.

The function which has a greater rate of change or slope is required.

Function B has a greater rate of change.

Rate of change is given by

[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]

The ordered pairs for the first function are

[tex](0,1),(4,2),(8,3),(12,4)[/tex]

Slope

[tex]m=\dfrac{2-1}{4-0}=\dfrac{1}{4}=0.25[/tex]

Since, it is a linear equation the slope will be equal for all ordered pairs.

The point slope form of a line is

[tex]y=mx+c[/tex]

where

m = Slope or rate of change

c = y intercept

Here, the equation is

[tex]y=0.75x-2[/tex]

The slope is 0.75.

Function B has a greater rate of change.

Learn more:

https://brainly.com/question/20423510?referrer=searchResults

https://brainly.com/question/25413713?referrer=searchResults

Answer:

[tex]\displaystyle y-1=\frac{1}{3}(x+3)[/tex]

Step-by-step explanation:

Equation of a Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The table shows the relation between x and y. It contains the following points

(-3,1), (6,4), (12,6), (30,12).

Taking the two first points, we find the equation of the line:

[tex]\displaystyle y-1=\frac{4-1}{6+3}(x+3)[/tex]

[tex]\displaystyle y-1=\frac{3}{9}(x+3)[/tex]

Simplifying:

[tex]\displaystyle y-1=\frac{1}{3}(x+3)[/tex]

To ensure the rest of the points belong to the line, we test them:

For the point (12,6):

[tex]\displaystyle 6-1=\frac{1}{3}(12+3)[/tex]

[tex]\displaystyle 5=\frac{1}{3}(15)[/tex]

5=5

Since equality is true, the point belongs to the line.

For the point (30,12):

[tex]\displaystyle 12-1=\frac{1}{3}(30+3)[/tex]

[tex]\displaystyle 11=\frac{1}{3}(33)[/tex]

11=11

Since equality is true, the point belongs to the line.

Thus, the equation of the line is:

[tex]\mathbf{\displaystyle y-1=\frac{1}{3}(x+3)}[/tex]

Total amount, T = $100 million.

Cost of wheat per ton, C = $300 .

Price per fighter plane, c = $15 million.

Now,

Price of 5 fighter planes, P = $( 15 × 5 ) = $75 million.

Amount left = $( 100 - 75 ) = $25 million.

So,

Number of tons of wheat government can buy is :

[tex]n=\dfrac{25\times 1000000}{300}\\\\n = 83333.33\ tons[/tex]

Therefore, number of tons of wheat the government can afford is 83333.33 tons.

Hence, this is the required solution.

Answer:

A = $4360.515918 which rounded to the nearest penny is $4360.52

Step-by-step explanation:

Answer:

y=-3x+5

Step-by-step explanation:

y=mx+b

m=(-4-2)/(3-1)=-3

b=y-mx

b =-4 - (3)(-3)

b=-4+9

b=5

Answer:

The diameter of the virus will appear as 1.2 × 10⁻⁴ meters when viewed under the microscope

Step-by-step explanation:

From the question,

A microscope is set so it makes an object appear 6 × 10² times larger than its actual size. That is, when an object is viewed with the aid of the microscope, the object will be 6 × 10² times larger than its actual size.

Now, to determine how large the diameter of a virus that has a diameter of 2 × 10 ⁻⁷ meters will appear when viewed under the microscope, we will multiply the diameter of the virus by  6 × 10².

That is, 2 × 10 ⁻⁷meters × 6 × 10² = 1.2 × 10⁻⁴ meters

Hence, the diameter of the virus will appear as 1.2 × 10⁻⁴ meters when viewed under the microscope.