Mark invests $9600 in two different accounts. The first account paid 14 %, the second account paid 6 % in interest. At
the end of the first year he had earned $1056 in interest. How much was in each accounts?

The scatter plot shows a [positive linear] association.

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

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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Answer:

x is equal to -2, and y is equal to 2.

Step-by-step explanation:

You can solve this type of question by solving one of the equations for a given variable, and substituting it into another.

Because both of these are definitions of y, we could simply say, y = y, and thus:

x + 4 = -2x - 2

3x = -6

x = -2

This tells us also that y, being equal to x + 4, must equal 2

We can find the same solution by solving one of them for x, then substituting that into the other.  We know:

y = x + 4

so we can also say:

x = y - 4

If we substitute that into the other:

y = -2x - 2

y = -2(y - 4) - 2

y = -2y + 8 -2

3y = 6

y = 2

which we can then plug into either of the original equations to solve for x:

y = x + 4

2 = x + 4

x = -2

Answer:

The answer is A

Step-by-step explanation:

I did the test and I made a 100.

Mark me as branilest

Answer:

The answer is A. Hope it helps!

The percent of error is 15%. The correct option is B.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Alton estimated that 230 people attended the band concert.

The actual count for attendance was 200 people.

To find the percent of error:

230 - 200 / 200

= 30 / 200

= 0.15

0.15 decimal to the percentage is 15%.

Therefore, the error is 15%

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The height of the building is approximately 57.13 feet.

We can use trigonometry to solve this problem. Let's call the height of the building "h".

We know that the angle of elevation to the top of the building is 55°, which means that the angle formed by the horizontal line and the line of sight to the top of the building is also 55°.

We can draw a right triangle with the height of the building as one leg, the distance from the building as the other leg, and the line of sight to the top of the building as the hypotenuse.

Using the tangent function, we can write:

tan(55°) = h / 40

To solve for h, we can multiply both sides by 40:

h = 40 x tan(55°)

Using a calculator, we can find that:

h ≈ 57.13 feet

Therefore, the height of the building is approximately 57.13 feet.

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The height of the skyscraper is D. 156.26 ft

To determine the height of the skyscraper,  we need to consider the following trigonometric identities listed thus;

From the information given, we have that;

Angle, θ = 38 degrees

The shadow casted is the adjacent side of the angle and is 200 ft

The height off the skyscraper is the opposite side

Now, using the tangent identity, we have that;

tan θ = opposite/adjacent

tan 38 = h/200

cross multiply the values, we get;

h = 200(0.7812)

Multiply the values

h = 156. 26 ft

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Answer:

$32

Jack has $32 left.

Step-by-step explanation:

3/5= 60%

80x.6= 48

80-48= 32

Jack has $32 left.

A circle with Centre \((a,b)\)  has the general equation:

\((x-a)^2 + (y-b)^2 = r^2\)

where \(r\) is the radius and \((a,b)\) is the Centre.

Given that the Centre is at \((0,9)\), the equation is as follows:

\((x-0)^2 + (y-9)^2 = r^2\)

If we simplify, we get:

\(x^2 + (y-9)^2 = r^2\)

The fact that the circle comprises the coordinates  \((65,12)\)  is also provided. Therefore, we may change these values into the equation and find \(r\):

\(65^2 + (12-9)^2 = r^2\)

\(4225 + 9 = r^2\)

\(r^2 = 4234\)

When we square the two sides, we obtain:

\(r = \sqrt{4234}\)

The circle's equation is as follows:

\(x^2 + (y-9)^2 = 4234\)

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Answer:

3x3

Step-by-step explanation:

there are 3 rows and 3columns

Answer:

Point A would be at the coordinates, (-4, 1). Hope this helps!

The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

How to solve for the airplane's groundspeed

To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.

Let's denote:

Vp = airplane's speed = 250 km/h

θp = airplane's heading = 075 degrees

Vw = wind's speed = 85 km/h

θw = wind's heading = 300 degrees

We can then find the eastward (x) and northward (y) components of the velocities:

For the airplane:

Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h

Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h

For the wind:

Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h

Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h

We then sum the x and y components of the two velocities to find the resultant velocity components:

Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h

Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h

The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:

Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h

The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:

θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees

Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

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The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B =  0.5 hours.

The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:

2A + 12B = 9 hours

On Thursday, we would have

5A + 3B = 9 hours

2A + 12B = 9  Eqn 1

5A + 3B = 9   Eqn 2

Multiply equation 2 by -4

2A + 12B = 9

-20A - 12B = -36

2A - 20A = 9 -36

-18A = -27

Divide both sides by -18

A = 1.5 hours

For B, substitute A in the first equation

2(1.5) + 12B = 9

3 + 12B = 9

12B = 9 - 3

12B = 6

Divide both sides by 12

B = 0.5

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Complete Question:

Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?

Answer:

\(d=10.2\)

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in the 2 coordinates into the distance formula to find distance d:

\(d=\sqrt{(6-(-4))^2+(1-3)^2}\)

\(d=\sqrt{(6+4)^2+(-2)^2}\)

\(d=\sqrt{(10)^2+4}\)

\(d=\sqrt{100+4}\)

\(d=\sqrt{104}\)

\(d=2\sqrt{26}\)

\(d=10.198\)

\(d=10.2\)

Answer:

Step-by-step explanation:

90 miles + 120 miles = 210 total miles

1.5 hours + 3 hours = 4.5 total hours.

Average speed = 210 miles / 4.5 hours = 46 2/3 miles per hour

Answer:

40

Step-by-step explanation:

I know meth

Answer:

x > -5, so the correct answer is C.

Answer:

21/8 yds or 2 5/8 yds

Step-by-step explanation:

First turn 1 3/4 yards into an improper fraction so you can add it to 7/8 yards.

1 3/4 as an improper fraction is 7/4 yds

7/4 yds = 14/8 yds

14/8 yds + 7/8 yds = 21/8 yds

So the total amount of ribbon Amanda has is 21/8  yds or 2 5/8 yds

Answer:5

Step-by-step explanation:

Answer:

a) E(x) = -2p^2 + 2p + 2

b) Number is maximized when p = 1/2

Step-by-step explanation:

Determine the Expected number of games  when ( i ) = 2

The number of possible combinations that both teams win two games :

AA, BB, ABB, ABA, BAA, BAB  = 6 combinations

P( team A winning ) = p

P( team B wins ) = 1 - p

Attached below is the detailed solution on the expected number of games

expected number of games ; E(x) = -2p^2 + 2p + 2

ii) Number is maximized when p = 1/2

In this exercise we will use the knowledge of probability and combination, so we have what will be:

a)\(E(x) = -2p^2 + 2p + 2\)

b)\(p = 1/2\)

Organizing the information given in the statement as:

A)The number of possible combinations that both teams win two games :

\(AA, BB, ABB, ABA, BAA, BAB = 6 \ combinations\\P( team\ A \ winning ) = p\\P( team \ B \ wins ) = 1 - p\\E(x) = -2p^2 + 2p + 2\)

B) To calculate the maximum number we must solve the quadratic equation, like this:

\(p=1/2\)

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Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (0, 10) ← 2 ordered pairs from the table

m = \(\frac{10-8}{0+3}\) = \(\frac{2}{3}\) → A

Answer:

3

Step-by-step explanation:

21/3 = 7

30/3 = 10

Answer:

1 3/4 pounds of food per serving

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

In the question ,

it is given that ,

the quadratic function is f(x) = x² – 5x + 12 .

for x = -10 ,

f(-10) = (-10)² – 5(-10) + 12

= 100 + 50 + 12

= 162

option(a) is false .

the graph of the quadratic function is shown below .

form the graph we can see that the graph is a parabola ,

and the function opens upwards ,

the graph does not contain the points (20,-8) and (0,0)

Therefore , The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

The given question is incomplete , the complete question is

Consider the quadratic function f(x) = x² – 5x + 12. Which statement is true about the function and its graph?

(a) The value of f(–10) = 82

(b) The graph of the function is a parabola.

(c) The graph of the function opens down.

(d) The graph contains the point (20, –8).

(e) The graph contains the point (0, 0).

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Answer:

Step-by-step explanation:

There are four different color marbles.

Probability of blue:

Next, there are 3 marbles left in the bag since no replacement.

Probability of red after blue:

The probability of these two steps in order:

Complement of R is:

Answer:

C. -2n² - n + 5

Step-by-step explanation:

In expression C, the coefficient of the n term is -1;

  The expression in choice C is given as:

               -2n² - n + 5

The coefficient is the number before a variable;

  For n², the coefficient is -2

    for n, the coefficient is -1

Answer:

Sample Bias

Step-by-step explanation:

If you sample Hockey players on if their sport is better than baseball, chances are they will vote for their sport being better.

If we assume that each student's heart creates the same amount of energy as a single person, the energy created would be enough to drive the truck for 192000 meters.

If we assume that each student's heart creates the same amount of energy as a single person, we can estimate the total amount of energy created by the class.

If one person's heart creates enough energy to drive a truck for 32 kilometers,

Then six people's hearts would create enough energy to drive the truck for 32 x 6 = 192 kilometers.

In meters, it would be 192 x 1000 = 192000 meters.

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Every day your heart creates enough energy to drive a truck for 32 kilometers. If you combined the energy that is created by all the students in your math class for a week, how many meters could the truck drive?

Number of students is 6

Answer:

Step-by-step explanation:

Solve:

       \(\rule{250}{2}\)

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

    Solve 2=2+g/4

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

When solving an equation, we need to make sure all variables are on the left-hand side, and all numbers are on the right.

Since we have numbers on both sides, we need to move them to one side, as follows:-

\(\Longrightarrow\sf{2-2=g/4}\)

\(\longrightarrow\sf{0=g/4}\)

Now, we multiply by 4 on both sides to get rid of the fraction:-

\(\longrightarrow\sf{0\times4=g/4\times4}\)

\(\longrightarrow\sf{0=g}\)

So we conclude that g=0.

\(\rule{300}{3}\)

Answer:

Step-by-step explanation:

The question says "Create a matrix to display the data".

The are 3 products:

- McBurger   - Mini McBurger   - ChocoLatte Shake

The figures represent monthly sales for each product, in a given year. This means 12 figures for each product - represent the 12 months of the year.

These figures will appear on the matrix, with the horizontal arrangement representing each month of the year and the vertical arrangement representing each product's sales.

In that light, you'll have a 12 by 3 matrix.

\(\left[\begin{array}{ccc}46&23&88\\63&41&46\\58&35&39\\77&44&52\\81&62&67\\102&88&99\\183&95&189\\197&99&238\\125&108&188\\111&111&97\\83&98&51\\218&63&12\end{array}\right] 12 by 3 matrix\)The first row represents sales in January, the second row represents sales in February, the third row represents sales in March, the fourth row represents sales in April, etcetera.

The first column represents sale of McBurger, the second column represents sale of Mini McBurger, the third column represents sale of Choco-Latte Shake.