An investor bought 400 shares of stock, some at $7.00 per share and some at $1.00 per share. If the total cost was $1450.00, how many shares of each stock did the investor buy?

The graph which represent a graph of a function is:

        Graph A and Graph C

We know that a graph of a function satisfies the vertical line test i.e. any line passing through the domain and parallel to y-axis should intersect the curve exactly once i.e. corresponding to each x-value there is exactly one y-value.

Hence, from the figure attached to the answer we see that the Graph which is a function is:

            Graph A and Graph C

Graph A represents a function.

A function is a relation in which each input has only one output. In other words, for every x-value, there can only be one y-value. To determine if a graph represents a function, we can use the vertical line test. If a vertical line intersects the graph at more than one point, then the graph does not represent a function. Looking at the given graphs, Graph B and Graph D do not pass the vertical line test, as there are vertical lines that intersect these graphs at multiple points. Therefore, the correct answer is Graph A.

Kaia will pay a $1,500 deductible and the remaining 20% not covered by insurance after the deductible, totaling to $1,680 for her braces.

To calculate how much Kaia will need to pay for her braces, we need to take into account her insurance deductible and the percentage her insurance will cover after that deductible is paid. Kaia's braces cost $2,400, so let's break it down step-by-step:

Kaia pays her insurance deductible, which is $1,500. So, $2,400 - $1,500 = $900 remains.

Her insurance then covers 80% of the remaining $900. To calculate this, we use 80% of $900: ($900 x 0.80) = $720.

Since the insurance pays $720 of the remaining cost, Kaia is left with 20% of $900 to pay out of her pocket. To calculate this, we take 20% of $900: ($900 x 0.20) = $180.

Therefore, Kaia will need to pay $1,500 (deductible) plus $180, for a total of $1,680.

Answer:

answer is d

Step-by-step explanation:

The amount of Honey produced by 1000 hives is the multiplication of 1000 to 85 thus 85000 pounds will be produced.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

As per the given question,

Larson's Honey Farm usually produces 85 pounds of honey per year.

If one family is producing 85 pounds of honey per year then,

1000 hives will produce ⇒ 85 × 1000 = 85000 pounds.

Hence "The amount of Honey produced by 1000 hives is the multiplication of 1000 to 85 thus 85000 pounds will be produced".

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Answer:

The construction depicts the inscribing of a hexagon in a circle.

Step-by-step explanation:

These are the following steps to inscribe a hexagon in a circle.

1. We mark a point anywhere on the circle. This mark is the first vertex of the hexagon.

2. Now we will set the compass on this vertex and set the width to the center of the circle. This is the radius of the circle.

3. Now we will make an arc across the circle which is the next vertex of the hexagon.

4. Now moving the compass on to the next vertex and drawing another arc, which becomes the third vertex of the hexagon.

5. Repeat step 4 until all vertices are marked.

6. Lastly, we will draw a line between each successive pairs of vertices, for a total of six lines.

Now we can see a hexagon inscribed in a circle.

The area of the rectangle board, including the wooden border, is 280 cm².

The student's question pertains to finding the new area of the rectangle board after adding a 2 cm wooden border around it. Initially, the board has dimensions of 16 cm in length and 10 cm in width. To account for the new wooden border, we add 2 cm to each side of the board. This means that the new length will be 16 cm + 4 cm (2 cm for each side of the length) and the new width will be 10 cm + 4 cm (2 cm for each side of the width).

The calculation will be as follows:

New Length = 16 cm + 4 cm = 20 cm

New Width = 10 cm + 4 cm = 14 cm

Area = New Length * New Width

Area = 20 cm * 14 cm

Area = 280 cm²

Therefore, the area of the rectangle board with a 2 cm border added around it will be 280 cm².

x = amount at 15%

90-x = amount of 55%

0.15x + 0.55(90-x) = 0.47(90)

0.15x +49.5 - 0.55x = 42.3

49.5 - 0.40x = 42.3

-0.40x = -7.2

x = -7.2 / -0.4 = 18 kg of 15% copper

90-18 = 72 kg of 55% copper

The calculated coordinates of the point P is P (-3/2, -3/2)

From the question, we have the following parameters that can be used in our computation:

A = (1, 6)

Also, we have

B = (-2, -3)

And we have the partition to be

m : n = 5 : 1

The coordinate of the partition is calculated as

P = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

Substitute the known values in the above equation, so, we have the following representation

P = 1/(5 + 1) * (5 * -2 + 1 * 1, 5 * -3 + 1 * 6)

This gives

P = 1/6 * (-9, -9)

So, we have

P = (-3/2, -3/2)

Hence, the coordinate is P = (-3/2, -3/2)

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To find the coordinates of point P along the directed line segment AB, we can use the concept of section formula and plug in the given values to find the coordinates (-3/2, -3/2).

To find the coordinates of point P along the directed line segment AB, we can use the concept of section formula. The section formula states that if a point P divides a line segment AB in the ratio m:n, then the coordinates of P can be found using the formula:

P(x,y) = [(mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)]

Using this formula, we can plug in the values: m=5, n=1, x1=1, y1=6, x2=-2, y2=-3 to find the coordinates of point P.

P(x,y) = [(5*(-2) + 1*1)/(5+1), (5*(-3) + 1*6)/(5+1)] = [(-10+1)/6, (-15+6)/6] = [-9/6, -9/6] = (-3/2, -3/2)

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The expression of (9 + 4i) + (–1 – 7i) has the sum (8 – 3i) which correct option(B).

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, b are real numbers and i is an imaginary number.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

(B) (9 + 4i) + (–1 – 7i)

⇒ (9 + 4i) + (–1 – 7i)

⇒ 9 + 4i –1 – 7i

Rearrange the terms like wise and apply arithmetic operations

⇒ 9 - 1 + 4i - 7i

⇒ 8 – 3i

Hence, the expression of (9 + 4i) + (–1 – 7i) has the sum (8 – 3i).

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Answer: the first part is option B

the second part is option C

Step-by-step explanation:

Answer To Questions :

3 3/4

Answer:

23.06

Step-by-step explanation:

Answer:

Option C

output=0.5(input)+1.5

Step-by-step explanation:

Let

y------> the output

x------> the input

we have

[tex]A(-1,1), B(5,4)[/tex]

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{4-1}{5+1}[/tex]

[tex]m=\frac{3}{6}=0.5[/tex]

Find the equation of the line

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=0.5[/tex]

[tex]A(-1,1)[/tex]

substitute

[tex]y-1=0.5(x+1)[/tex]

[tex]y=0.5x+0.5+1[/tex]

[tex]y=0.5x+1.5[/tex]

remember that

y=output

x=input

substitute

output=0.5(imput)+1.5