Bodens account has a principal of $500 and a simple interest rate of 3.3% . complete the double number line. HOW MUCH money will be in the account after 4 years, assuming Boden does not add or take out any money.

Answer:

2 three points shots and 4 two points shots

Step-by-step explanation:

Let x be the number of three points shots.

Alexander  made twice as many two points shots as three points shots, so the number of two points shots is 2x.

Amount earned in three points shots [tex]=3\cdot x[/tex]

Amount earned in two points shots [tex]=2\cdot (2x)=4x[/tex]

Total score [tex]=3x+4x=7x[/tex]

Alexander scores a total of 14 points, then

[tex]7x=14\\ \\x=2\\ \\2x=2\cdot 2=4[/tex]

To solve the equation by graphing, plot the quadratic function on a graph and determine the x-values where it intersects the x-axis.

To solve the equation 5x² + 8x - 13 = 0 by graphing, you can plot the quadratic function on a graph and determine where it intersects the x-axis. The x-values at the points of intersection will be the solutions to the equation.

The solutions to the equation 5x² + 8x - 13 = 0 can be found by graphing.

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Answer:

Brand has less mass or fluids than b does and since b has greater fluid it will cost more then the smaller brand

Answer:

Brand has less mass

Step-by-step explanation:

Answer:

There are pumpkin 756 seeds in all.

Step-by-step explanation:

Given:

Angel buys 6 pumpkins. Each pumpkin has about 756 seeds inside.

Now, to find total pumpkin seeds we multiply the total number of pumpkin from total number of seeds in each pumpkin has:

There are total 6 pumpkins.

In 1 pumpkin it has 756 seeds.

So, in 6 pumpkins there are = [tex]756\times 6[/tex]

                                              =  [tex]4536[/tex].

Therefore, there are pumpkin 756 seeds in all.

The information not needed for this calculation includes the details about sunflower seeds, almonds, sunflower oil, etc., that are irrelevant to the question. The key information to use is the number of pumpkins and the average number of seeds per pumpkin. The total number of roasted pumpkin seeds are 4,536.

Angel has 6 pumpkins, and each pumpkin has about 756 seeds.

Multiply the number of pumpkins by the number of seeds per pumpkin to find the total number of seeds: 6 pumpkins times 756 seeds per pumpkin.

Perform the multiplication to find the total: 6 times 756 = 4,536 seeds.

Add 4 to both sides

x - 4 < -3

x-4+4 < -3+4

x < 1

To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.

The graph is shown below.

Answer:

[tex]\large\boxed{y=\dfrac{1}{2}x-3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

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

m - slope

b - y-intercept

The formula of a slope:

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

We have two points (2, -2) and (4, -1).

Substitute:

[tex]m=\dfrac{-1-(-2)}{4-2}=\dfrac{-1+2}{2}=\dfrac{1}{2}[/tex]

Put the value of a slope and the coordinates of the point (2, -2) to the equation of a line:

[tex]-2=\dfrac{1}{2}(2)+b[/tex]

[tex]-2=1+b[/tex]              subtract 1 from both sides

[tex]-3=b\to b=-3[/tex]

Finally:

[tex]y=\dfrac{1}{2}x-3[/tex]

Answer:

x=-3

Step-by-step explanation:

5x-8y=1

5x-8(-2)=1

5x+16=1

5x=1-16

5x=-15

x=-15/5

x=-3

Answer:

x=90.

Step by step explanation:

To solve the expression [tex]15=\frac{x}{6}-1[/tex], and obtaining a value for x we can do the following:

Answer:

a = 1

h = 3

k = -4

Step-by-step explanation:

To convert this standard form equation to vertex form, use complete the square.

f(x) = x² - 6x + 5

f(x) = (x² - 6x) + 5   <=group ax² and bx, factor out if needed, not in this case.

add and subtract (middle term/2)²

f(x) = (x² - 6x + (6/2)² - (6/2)²) + 5   <=adding and subtracting the same number is like adding 0

f(x) = (x² - 6x + 9 - 9) + 5  <=simplify

f(x) = (x² - 6x + 9) -9 + 5   <=take out the negative constant

f(x) = (x - 3)² - 4    <=perfect square rule in brackets, simplify outside

a = 1   <= Nothing needed to be factored out from ax² and bx.

h = 3   <=If anyone says h = -3, they are wrong. the negative is already in the general equation which says "x-h". It does not say "x+h".

k = -4

I am pretty positive that it is b...

Answer:

m is= -4

and b is also -4 bc it croses through -4 at at the y axis and -4 is the slope

Step-by-step explanation:

Answer:

11x + 10y

Step-by-step explanation:

(5x + 3y) - (2x - 7y) + 8x

• Remove the parentheses:

5x + 3y - 2x + 7y + 8x

• Collect like terms:

(5x - 2x + 8x) + (3y + 7y)

• Simplify:

11x + 10y

If I helped, please mark me the Brainliest!?!

Answer:

[tex]y=x+5.99[/tex]

Step-by-step explanation:

A poster and 2 comics cost ​$7.99

(2,7.99)

A poster and 11 comics cost ​$16.99.

(11,16.99)

Let y be the cost of package and x be the no. of comics

We will use two point slope form :

[tex](x_1,y_1)=(2,7.99)[/tex]

[tex](x_2,y_2)=(11,16.99)[/tex]

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

Substitute the values:

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

[tex]y-7.99=\frac{16.99-7.99}{11-2}(x-2)[/tex]

[tex]y-7.99=1(x-2)[/tex]

[tex]y-7.99=x-2[/tex]

[tex]y=x-2+7.99[/tex]

[tex]y=x+5.99[/tex]

Hence a linear function rule that models the cost y of a package containing any number x of comic books is [tex]y=x+5.99[/tex]

The linear function that models the cost 'y' of a package containing 'x' number of comics is y = $5.99 + $1*x. This was determined by equating the differences in costs and numbers of comics to find the price per comic, and then solving one of the original equations for the price of the poster.

To solve this problem, let's consider the cost difference between buying a package with 2 comics and a package with 11 comics. The difference between $16.99 and $7.99 is $9, and the difference between 11 comics and 2 comics is 9 comics. This gives us a cost of $1 per comic book. Let's denote the cost of a comic book as 'c' and the cost of the poster as 'p'. It can be represented by the equation c = $1. We can use one of the original equations to find the cost of the poster.

Let's use the first one 'p' + 2*c = $7.99. We substitute the cost of a comic book ('c' = $1) into that equation, resulting in a price for 'p' (the poster) of $5.99. So, the linear function which represents the cost 'y' of a package containing any number 'x' of comics is y = p + c*x, or y = $5.99 + $1*x, with 'y' being the total cost and 'x' being the number of comic books.

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Answer:

Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.

Step-by-step explanation:

Fraction of an hour Rita spent on chemistry assignment = [tex]\frac{7}{8}[/tex]

Fraction of an hour Rita spent on math assignment = [tex]\frac{1}{4}[/tex]

∴ Fraction of  hour Rita spent more on her chemistry assignment than math assignment

⇒  [tex]\frac{7}{8}-\frac{1}{4}[/tex]

To subtract fractions we take LCD for 4 and 8. Since 8 is the least common multiple for 4 and 8 so, we take LCD= 8

To make the denominators same we need to multiply numerator and denominator of second fraction with 2.

⇒ [tex]\frac{7}{8}-\frac{1\times2}{4\times2}[/tex]

⇒ [tex]\frac{7}{8}-\frac{2}{8}[/tex]

After making the denominators common, we simply subtract numerators.

⇒ [tex]\frac{7-2}{8}[/tex]

⇒ [tex]\frac{5}{8}[/tex]

Therefore, Rita spend [tex]\frac{5}{8}[/tex] of hour more on her chemistry assignment.

Answer:

47/16

Step-by-step explanation:

7 5/6=47/6

2 2/3=8/3

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(47/6)/(8/3)=(47/6)(3/8)=(47/2)(1/8)=47/16

Answer:

The given two triangles are not congruent.

Step-by-step explanation:

See the diagram of the two triangles attached to this question.

The third angle of the second triangle is [180° - (31° + 124°)] = 180° - 155° = 25°.{Since the other two angles of the triangle are 31° and 124°}

Now, for the first triangle, the values of the adjacent angles of the side with length 6 are 45° and 31°, but for the second triangle, the values of the adjacent angles of the side with length 6 are 25° and 31°.

Therefore, two triangles do not satisfy the Angle=Side-Angle i.e. ASA criteria to become congruent.  

So, the given two triangles are not congruent. (Answer)

Answer:

y=-22

Step-by-step explanation:

y=22x at (-1, y)

y=22(-1)=-22

Answer:

y=-4

Step-by-step explanation:

Answer:

-20 + (-10) + 15 = -15

Step-by-step explanation:

Answer:

Option(d)

C = 0.46(w - 5) + 9.7

Explanation:

We are given that the delivery cost of any package has a fixed value of 9.7$ and an additional value for every 5 lbs extra weight and the additional value is given to be 0.46.

The equation for total cost C for given total weight w can be written by

sum of fixed value and every 5 extra lbs

which can be represented by the equation

C= 0.46(w-5) + 97.

Hence,  this represents a linear model for the given data.

Answer: 233.7

Step-by-step explanation:

Answer:

1029.819

Step-by-step explanation:

20.3 * 8.9 * 5.7 = 1029.819

Answer: 1,029.819 cm³

Step-by-step explanation: In this problem, we're asked to find the volume of a brick. To find the volume of a brick, we use the formula for the volume of a rectangular prism.

To find the volume of a rectangular prism or a prism whose base is a rectangle, we use the following formula.

Volume = length × width × height

Since the brick has a length of 20.3 centimeters, a width of 8.9 centimeters, and a height of 5.7 centimeters, we can plug this information into the formula.

Volume = (20.3 cm) (8.9 cm) (5.7 cm)

Volume = 1,029.819

Therefore, the volume of the brick is 1,029.819 cm³.

Also, it's important to understand that we can plug any number in for the length width or height as long as it's one of the numbers given and it's not used more than once.

This is because the commutative property of multiplication tells us that changing the order of the factors doesn't change the product.  

Without the actual graph, it's difficult to precisely match it to the given scenarios. If the graph shows a continuous increase or decrease, it could correspond to options A or C. If the graph displays changes with distinct intervals, it might match with options B or D.

To answer your question about which scenario could be represented by the graph, we need more specific information about the graph. Without the visual graph and only with the given information, it's somewhat complicated to identify an exact match. However, some general presumptions can be made.

If the graph shows a continuous decrease or increase, it could be option A or C. These scenarios talk about a steady decrease (candle-burning) or increase (filling a cup), suggested by the x-axis representing time and y-axis representing a value that changes consistently (height of the candle or amount of water).

However, if the graph shows changes with significant intervals, it could be option B or D. These scenarios show an event that takes place, stops for a while (represented by a straight line on the graph), and then resumes or has an opposite effect ( candle being lighted again, or water being dumped). In all scenarios, the x-axis represents time, while the y-axis represents the scenario's varying condition, whether it's the height of a candle or amount of water.

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Answer:

The difference between the temperatures in the two countries is 38.3°C.

Step-by-step explanation:

Given:

Temperature in Greenland = - 8.3°C

Temperature in Jamaica = 30°C

To find :

The difference between the temperature in the two countries = ?

[tex]\textrm{difference between the temperature in the two countries} =\textrm{temperature in Jamaica} - \textrm{temperature in Greenland}\\= 30 - (-8.3)\\= 30 +8.3\\= 38.3\°C[/tex]

Therefore,the difference between the temperatures in the two countries is 38.3°C

Answer:

Infinitely many solutions.

Step-by-step explanation:

-4x+14y=-16

x-7/2y=4

------------------

-4x+14y=-16

4(x-7/2y)=4(4)

----------------------

-4x+14y=-16

4x-14y=16

---------------------

Infinitely many solutions

Answer:

3 gallons

Step-by-step explanation:

Last year, Ariq made a 6 1-cup servings of soup for a party.

This year he will make 8 times the amount of soup that he made last year, so he will make

[tex]8\cdot 6=48[/tex] 1-cup servings of soup.

In total, 48 cups of soup.

Note that

1 gallon = 16 cups,

then

48 cups is equal to

[tex]48 :16=3[/tex] gallons

Answer:

The number of gallons of soup will he make this year is 3 gallons

Explanation:

No of 1 cup servings made by Ariq last year = 6

Suppose last year he made x 1 cup servings

Hence this year he will make 8x, 1 cup servings  

Since last year he made 6, 1 cup serving

Therefore

This year 8x, 1 cup servings

= 8×6

=48, 1 cup servings

Now  

1 gallon of soup=16 cups

Therefore

48 cup servings will be

=[tex]\frac{48}{16}[/tex]= 3 gallons

The number of gallons of soup will he make this year is 3 gallons

Answer:

-0.5, -0.25, 0.6, 0.625

Step-by-step explanation:

-1/4=-0.25

6/10=3/5=0.6

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