You make two separate investments for a total of $4000. The percent return on Charles Schwab & co. At the end of the year was 5% and the percent return on merill lynch was 7%. The combined return on both funds was $256. How much did you invest in each fund.

√13 is the absolute value of |-3 + 2i| .

Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and 'i' is an imaginary number.

For a complex number z = x + iy,

The absolute value |z| as being the distance from z to 0 in the complex plane C

Complex numbers are the numbers that are expressed in the form of a+ib

The complex number here is minus three plus two i.

|-3 + 2i|

Absolute value=√(-3)²+(2)²

=√9+4

=√13

Hence, √13 is the absolute value of |-3 + 2i| .

To learn more on Complex numbers click:

https://brainly.com/question/20566728

#SPJ1

A data analyst uses bias()  to find out how much the predicted outcome and the actual outcome of their data model differ.

The act of unfairly favoring or opposing a certain person or item due to allowing your judgment to be influenced by your opinions: The senator charged bias on the part of the media. Journalists must be unbiased and free from political bias.

There is a lack of objectivity in the way we view things. Both intentional and inadvertent biases are possible. When given an option, a person might prefer one shirt over two others if it also happens to be their favorite color.

To learn more about bias visit:

https://brainly.com/question/15135672

#SPJ4

Given a function with one vector parameter scores, if scores may be very large, and the function will modify the parameter, the parameter would be defined as pass by reference but not constant.

Pass-by-reference refers to passing the reference of an argument in the calling function to the corresponding formal parameter of the called function. The called function can modify the value of the argument by using its reference passed in. It refers to an alias or reference to the actual parameter that is passed to the method. Pass by reference makes the parameter modifiable, but constant prevents the parameter from being modified.

Learn more about Pass-by-reference:

https://brainly.com/question/29555936

#SPJ4

0.25Q+0.05N=3.25 and Q+N=31 is the required system of equation and nickels should be 22.5 and Quarters should be 8.5

Two or more expressions with an Equal sign is called as Equation.

From given,

3.35$ in quarters and nickels. If you have 31 coins

0.25Q+0.05N=3.25..(1)

Q+N=31

Q=31-N

Now substitute Q value in (1)

0.25(31-N)+0.05N=3.25

7.75-0.25N+0.05N=3.25

7.75-0.2N=3.25

Subtract 7.75 on both sides

-0.2N=3.25-7.75

-0.2N=-4.5

Divide both sides by 0.2

N=22.5

and Q+22.5=31

Q=31-22.5

Q=8.5

Hence, 0.25Q+0.05N=3.25 and Q+N=31 is the required system of equation and nickels should be 22.5 and Quarters should be 8.5

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Read more about rotation at

https://brainly.com/question/12508456

#SPJ1

Answer:

8,010,005

Step-by-step explanation:

eight million ten thousand and five

hope this helps

The line parallel to the line x + 2y = 8 is y = -(1/2)x - 7 Or (1/2)x + 7 = - 7.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

The given line is x + 2y = 8 ⇒ 2y = - x + 8 ⇒ y = -(1/2)x + 8.

We know line parallel to each other have the same slope and it passing through (-2, - 6).

∴ - 6 = -(1/2)(-2) + b.

- 6 = 1 + b.

b = - 7.

So, The required line is y = -(1/2)x - 7.

learn more about lines here :

https://brainly.com/question/2696693

#SPJ1

Therefore the solution to the difference of fraction comes out to be

12/95

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.

Here,

the given fractions are 3/5 and 9/19

and to find the difference

we take lcm of both denominators

=>  3/5-9/19

=>  (3*19-9*5)/5*19

=>  (57-45)/95

=> 12/95

Therefore the solution to the difference of fraction comes out to be

12/95

To know more about fraction , visit

https://brainly.com/question/10354322

#SPJ1

Answer:

y = x + 17

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 18 ← is in slope- intercept form

with slope m = - 1

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1 , then

y = x + c ← is the partial equation of the perpendicular line

to find c substitute (- 6, 11 ) into the partial equation

11 = - 6 + c ⇒ c = 11 + 6 = 17

y = x + 17 ← equation of perpendicular line

Therefore , the solution of the given problem of triangle comes out to be

Orthocentre (0, - 5 ).

Triangles are polygons with three sides and three vertices. The triangle's angles are created by joining its three sides end to end at a single point. The triangle has three angles, and the sum of them is 180 degrees.

Here,

We need the lengths of the triangle's three sides in order to identify which of the aforementioned cases the triangle fits into.

Make the length calculations using the distance formula.

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

L(0, 5) and M(3, 1)

LM =d = [tex]\sqrt{(3-0)^{2}+(1-5)^{2}}[/tex]  = 5

L(0, 5) and (N(8, 1)

LN = d = [tex]\sqrt{(8-0)^{2}+(1-5)^{2}}[/tex]   = √80

M(3, 1) and (N(8, 1)

MN = [tex]\sqrt{(8-3)^{2}+(1-1)^{2}}[/tex]  = 5

If a triangle has three sides, a, b, and c, and side c is the longest, then

• Right triangle formed by a2 + b2 = c2

• a2 + b2 c2 - acute triangle

Triangle with angles a2, b2, and c.

A, B, and C are equal to five in this instance.

a² + b² = 5² + 5² = 25 + 25 = 50

c² = (4 )² = 80

A triangle is obtuse and the orthocentre lies outside the triangle because a2 + b2 c2.

The place where the triangle's three altitudes converge is known as the orthocentre.

For the orthocentre's coordinates, we only need to simultaneously solve

the equations for two of the altitudes.

A line drawn at a right angle from a vertex to the other side is known as an altitude.

Altitude from M to LN

Calculate the slope of LN using the slope formula

m =  (y2 - y1 )/ (x2- x1 ) = 1-5/8-0   ⇒  = 2

Equation of altitude

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5 → (1)

Altitude between M and LN

Utilize the slope formula to determine LN's slope.

m = (y2 - y1)/ (x2- x1) = 1-5/8-0 ⇒ = 2

formula for altitude

y - 1 = 2(x - 3) (x - 3)

y - 1 = 2x - 6

y = 2x - 5 → (1) (1)

Altitude between N and LM

m = (y2 - y1)/ (x2- x1) = 1-5/3-0 ⇒ -3/4

formula for altitude

y - 1 = (x - 8) (x - 8)

y - 1 = x - 6

y = x - 5 → (2) (2)

Adding (1) to (2)

2x - 5 Equals x - 5 ( multiply through by 4 ) ( multiply through by 4 )

8x - 20 = 3x - 20

5x - 20 = - 20 ( add 20 on both sides ) ( add 20 to both sides )

5x = 0 ⇒ x = 0

Place x = 0 in place of (1)

y = 0 - 5 = - 5

It is the orthocentre (0, - 5 )

To know more about triangle , visit

brainly.com/question/2773823

#SPJ4

Answer:

Step-by-step explanation:

b(x)=6x^2

That is the same as b(x)=6*x*x

when x=16

b(16)=6*16*16=1536

Answer:

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

The first number is:

And the second number is -3.4.

Both numbers are rational, hence their product is rational.

Answer:

Rational as it is a terminating decimal.

Step-by-step explanation:

Given expression:

[tex]\sqrt{1024} \cdot -3.4[/tex]

Rewrite 1024 as 32²:

[tex]\implies \sqrt{32^2} \cdot -3.4[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]

[tex]\implies 32 \cdot -3.4[/tex]

Multiply the numbers:

[tex]\implies -108.8[/tex]

Therefore, the product is a terminating decimal.

A rational number is a number that can be expressed as the ratio of two integers (where the denominator does not equal zero).  

A terminating decimal can be written as a rational number.

To convert a terminating decimal into a rational number, multiply the number by a multiple of 10 that eliminates the decimal, then divide by the same number:

[tex]\implies \dfrac{-108.8 \cdot 10}{10}[/tex]

[tex]\implies -\dfrac{1088}{10}[/tex]

Reduce the fraction to its simplest form by dividing the numerator and denominator by 2:

[tex]\implies -\dfrac{544}{5}[/tex]

Therefore, the product of √1024 and -3.4 is rational as it is a terminating decimal.

Step-by-step explanation:

0.91666666...

is the sum of

0.91 and 0.006666666...

0.66666666... = 2/3

0.0066666666... = 2/300

0.91 = 91/100

so,

0.91666666... = 91/100 + 2/300 =

= 91×3/300 + 2/300 =

= 273/300 + 2/300 = 275/300 =

= 11/12

if you fail to find a fraction at the beginning (like the 2/3 we did), remember the following basics

0.1111111111... = 1/9

0.2222222... = 2/9

0.33333333... = 3/9 = 1/3

0.44444444... = 4/9

0.55555555... = 5/9

0.66666666... = 6/9 = 2/3

0.777777777... = 7/9

0.88888888... = 8/9

0.99999999... = 9/9 = 1

if you want to repeat a pattern like

0.125 to

0.125125125125125...

remember this simple trick

0.125 = 125/1000

0.125125125125125... = 125/999

you must use as many 9s as you have digits in the basic pattern.

227/999 = 0.227227227227227...

6382/9999 = 0.63826382638263826382...

and so on.

Answer:

11/12

Step-by-step explanation:

1. Let x = 0.916 (6 repeating)

2. Identify the FIRST repeating digit's place value:

   6 is in the 1000ths place

3. Multiply BOTH sides of x = ... by the value you got in step 2

   x = 0.916 (6 repeating)

   1000x = 916.6 (6 repeating)

4. Subtract the x = ... from the 1000x = ...:

   1000x = 916.666...

           x =     0.916...

    999x = 915.75

5. Divide both sides by 999:   [tex]x=\frac{915.75}{999}[/tex]

6. Rewrite as a corrected fraction: [tex]x=\frac{91575}{99900}[/tex]

7. Simplify as far as possible: [tex]x=\frac{91575}{99900}/\frac{8325}{8325}=\frac{11}{12}[/tex]

The type of reasoning janet used in this situation was

Inductive reasonings .

In mathematics, reasoning involves drawing logical conclusions based on evidence or stated assumptions. Sense making may be considered as developing understanding of a situation, context, or concept by connecting it with existing knowledge or previous experience.

Why is reasoning in maths important?

Reasoning in maths is the ability to make logical links and connections which help you tackle a new maths problem. The skill of reasoning equips students not only with the ability to say how they will attempt to work out an answer, but why and how they can be sure it will work.

Inductive reasoning is a type of reasoning that draws general conclusions from specific observations .

In this case Janet examines only isosceles traingle ( specific ) and concluded that all triangles are isosceles ( generalised ).

Learn more about reasoning here;

https://brainly.com/question/25175983

#SPJ4

The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

Learn more about solutions for linear equations using given link :

https://brainly.com/question/26310043

#SPJ1

The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

learn more about  distinct

https://brainly.com/question/32727893

#SPJ11

F= k*a*v^2

a= 250

v=190

30300=k*250*{190^2}

k= 0.003357

F= 0.003357*250*180*180

F=27135

The lifting force is 27135

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.

To know more about surface area visit:

https://brainly.com/question/2835293

#SPJ1

The best option for Janet will be to open an educational account.

The basic structure of student bank accounts is frequently the same as that of the institution's standard offerings, with adjustments made for students' typically lower amounts.

These organisations may remove maintenance fees or minimum balance requirements, provide free ATM withdrawals, offer budgeting apps or programmes, or even waive fees altogether because students are still learning how to manage their finances and navigate their daily financial lives.

Some benefits of educational account is

To learn more about bank

brainly.com/question/19108214

#SPJ4

( g - 14)² is factor of equation .

What is factor ?

A number that divides another number by itself with no residual is known as a factor.The factors of 8 are the numbers that divide 8 exactly without leaving any remainder. There are four factors of 8, they are 1, 2, 4, and 8.

             In other words, if multiplying two whole numbers results in a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Since the numbers we are multiplying are divisible by the product, they are factors of the product.

g2 − 28g + 196

= g² - 14g - 14g + 196

= g( g- 14 ) - 14( g - 14 )

= ( g - 14) ( g - 14)

= ( g - 14)²

Learn more about factor

brainly.com/question/14067703

#SPJ4

The complete question is -

One of the factors of g2 -28g + 196 is a. g-7 b. g-14 c. g+14 d. g+7

The radius of the circular garden is 14.3 meters

Any line connecting a circle's center and circumference is said to be the circle's radius. Within a circle, a diameter is equal to the sum of two radii. The area and circumference of a circle are determined using the radius of the circle.

The perimeter of a circle with a radius of r is given by

Here we have

George walks around one-quarter of a quarter of a circular garden.  

He walks a total of 30 meters.

Let x be the Perimeter or circumference of the circular garden

Given that George walks around one-quarter of a quarter of a circular garden.

=> The length of the path that George walked = x/3

Given that He walks a total of 30 meters

=>  x/3 = 30 meters

=>  x = 90 meters

So we can conclude that circumference of the circular garden = 90 m

As we know Perimeter of the circle = 2πr  

=> 2πr = 90

=>  πr = 45

=> 22/7(r) = 45

=> 22(r) = 315

=> r = 14.318181818181 ≅ 14.3

Therefore,

The radius of the circular garden is 14.3 meters

Learn more about Circles at

https://brainly.com/question/28946570

#SPJ1

△DEF is congruent to △D'E'F' because you can map △DEF to △D'E'F' using a reflection across the x-axis, which is a rigid motion.

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the shapes have been flipped, turned, or rotated, the shape and size ought to remain constant.

1)  Reflections, rotations and translations are rigid transformations, because they do not modify the lengths of the segments nor the angles, so the images and the preimages are congruents.

2) Let's see what transformation map △DEF is to △D'E'F' by analyzing the vertices of preimage and image:

Preimage         Image

D (-3, -1)            D' (-3, 1)

E (2, -4)             E' (2, 4)

F (4, -4)             F' (4, 4)

Learn more about congruent

brainly.com/question/12413243

#SPJ4

On solving the provided question, we got to know that - 40/155 adults will not have hypertension (70%),

The probability is calculated by dividing the total number of outcomes by the total number of possible ways an event may occur. Probability and odds are two different ideas. The chances are calculated by dividing the likelihood that a certain event will occur by the likelihood that it won't.

Probabilities are mathematical explanations of the chance that an event will happen or that a proposition is true. The probability of an occurrence is a number between 0 and 1, where 0 often indicates impossibility and 1 normally indicates certainty.

To know more about probability visit:
https://brainly.com/question/15124899

#SPJ4

Answer: A Geometric sequence is a type of sequence in which each subsequent term after the first term is determined by multiplying the previous term by a constant (not 1), which is referred to as the common ratio.

Step-by-step explanation: Hope this was helpful

Step-by-step explanation:

The sequence

a, ar, ar^2, .....ar^n-1,...

where a is the first term and any two consecutive numbers differ by a factor r, is called a Geometric progression (G.P.).

Geometric progression also known as Geometric sequence.

The movie claims that 40% of your brain is used for visual decoding.

Williams, the William G. Allyn Professor of Medical Optics, notes that processing visual information takes up more than 40% of the cortex, the surface of the brain.

Light and dark pixels in the eye are where our visual experience begins. These signals are sent to the V1 region in the rear of the brain, where they are changed to match to the borders of visual scenes.

The visual cortex processes information from the sensory periphery in accordance with a highly regulated hierarchy, according to experiments utilizing static stimuli, such as images. The information about visual sceneries is subsequently translated by deeper brain areas into more intricate forms, objects, and ideas.

To learn more about visual decoding

https://brainly.com/question/28046762

#SPJ4

The length of the midsegment of the triangle DEF is 47 units.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the midsegment of a triangle is half of the length of the parallel side.

∴ GH = (1/2)DF.

3x - 4 = (1/2)(9x - 59).

6x - 8 = 9x - 59.

- 3x = - 51.

x = 17.

So, The length of GH is 3(17) - 4 = 51 - 4 = 47 units.

learn more about midsegments here :

https://brainly.com/question/2273557

#SPJ1

For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.

Probability is a measure of the likelihood that an event will occur.

The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.

Let, X be the random variable denoting the number of shoppers on a random day.

Then, X follows normal with mean 505 and standard deviation of 115.

Then, we can say that,

Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.

We have to find

P (250 <X< 450)

= P {(250-505)/155} < Z < {(450-505)/155}

= P (-1.64 <Z< -0.03)

Where, Z is the standard normal variate.

ρ = -1.64 <ρ< -0.03

Where, ρ is the distribution function of the standard normal variate.

From the standard normal table, this becomes

=0.00585

For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.

To know more about probability,

https://brainly.com/question/18849307

#SPJ4

The circle's perimeter is determined by F = -9π, according to green's theorem.

The simple formula for Green's theorem is the link between the total amount of microscopic circulation inside curve C and the macroscopic circulation revolving around it.

Remembering that we are talking about two dimensions, if C is a straightforward closed curve in the plane, it will enclose the region D (shown in red) in the plane.

So, knowing that this exercise should be solved using Green's theorem, then:

[tex]\begin{aligned}& \int 4 y d x+2 x y d y=\iint(d / d x)(2 x y)-(d / d y)(4 y) d A \\& =\iint 2 y-4 d A\end{aligned}[/tex]

You must convert in this manner to polar coordinates, and the result will be:

[tex]\begin{aligned}& \int_0^3 \int_0^{2 \pi}(2 r \sin (\theta)-4)(r) d \theta d r \\& =\int_0^3(-2 r \cos (\theta)-4 \theta)(-2 r \pi) d r \\& =-(\pi)\left(r^2\right)=-9 \pi\end{aligned}[/tex]

Therefore, the circle's perimeter is determined by F = -9π, according to green's theorem.

Know more about Green's theorem here:

https://brainly.com/question/23265902

#SPJ4

Correct question;
Suppose F⃗ (x,y)=4yi⃗ +2xyj⃗ . Use Green's Theorem to calculate the circulation of F⃗ around the perimeter of a circle C of radius 3 centered at the origin and oriented counter-clockwise.

The value of z if a 5-sided regular polygon with one angle labeled a, If m ∠ a = (2z + 54)° is 27.

A polygon can be defined as a flat or plane, two-dimensional closed object circumscribed with straight sides. Its sides are not curled. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge.

Given:

m ∠ a = (2z + 54)°

The number of sides = 5,

Calculate the value of the sum of the interior angle by the formula given below,

[tex]S = 180(n - 2)[/tex]

S = 180 (5-2)

S = 180 × 3

S = 540°

Calculate the value of a as shown below,

[tex]a = S/5[/tex]

a  = 540 / 5

a = 108

108 = 2z + 54

2z = 108 - 54

z = 54 / 2 = 27

Therefore, the value of z if a 5-sided regular polygon with one angle labeled a, If m ∠ a = (2z + 54)° is 27.

To know more about polygons:

https://brainly.com/question/24464711

#SPJ1

The manufacturer of allay pain reliever offered a free sample of the product to visitors who registered at its website. in this case, the communications objective of the website was to increase awareness of Allay Pain Reliever and generate customer leads.

Communication objectives are the aims and principles that guide how a person or company interacts with customers, staff, or other stakeholders. Workplaces can establish and uphold uniform standards for every contact by adopting communication strategies.

In order to achieve marketing goals with an increase in the rate of purchases or information requests, the communication objectives must first develop a good consumer attitude.

To know more about  communication objectives visit:

https://brainly.com/question/28263316

#SPJ4

Answer: 0

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Slope is a value that describes the steepness and direction of a line.

A line with a negative slope, said to be decreasing, runs downwards from left to right.

A line with a positive slops, said to be increasing, runs upwards from left to right.

A horizontal line has a slope of zero because y does not change. A vertical line has an undefined slope because you cannot divide by zero (x does not change).

I hope this helps to understand :)