Zell invested $80,000 in two different types of stocks. The first type earned 9% and the second type earned 12%. If the profit on the 12% stocks was $150 more than the profit on the 9% stocks, how much did Zell invest in the 9% stock?

Answer:

The third graph comes closest, but some difference suggest that the fifth graph, which is incorrectly displayed, may be the correct one.

Step-by-step explanation:

I will rewrite the equation to the form it seems to have been intended:  (x + 4)^2 + (y − 7)^2 = 49.  Note the addition of two "^" to indicate the 2's are both powers, and not "*2."

Plot the equation on a scientific calculator or a free web-based scientific calculator, such as DESMOS.  Compare the graph with the graph options.  See the attached worksheet.

The plotted graph comes close to the graph option selected (third from left), but there were differences, as noted.  It was the closest I saw on a first pass, but spend time ooking more closely at the options to see if there is a better choice.  The fifth option doesn't look like it belongs, and the correct option may not be listed.

Of all the total units of measurements, the seven base units are given above.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given are the units of measurements.

The seven SI base units, which are comprised of:

Therefore, of all the total units of measurements, the seven base units are given above.

To solve more questions on units of measurements, visit the link below -

https://brainly.com/question/15402847

#SPJ1

The cost of each table is $110.

Given:

Total Amount spent = $900

Cost of bookshelf = $50

By dividing the entire amount paid by 70%, you may calculate the cost of the chair and desk.

Cost of chair and desk = 900 x 0.70 = $60

Now, subtract that cost from the total amount spent:

900 - 630 = $270 was spent on the rest three items.

Next, subtract the cost of the bookshelf:

270 - 50 = $220

The cost of two tables is $220.

So, the price of one table can be calculated by dividing this cost by 2:

220/2 = $110

To learn more about word problems visit:

https://brainly.com/question/23414089

#SPJ4

Answer:

Step-by-step explanation:

Using the trigonometric ratios the correct option is option a) 4.98.

We have a known hypotenuse, but an unknown opposite side. Use the sine ratio to tie the two together to be able to solve for x.

Trigonometric ratios are a set of ratios that relate the angles of a right triangle to the lengths of its sides. The most commonly used trigonometric ratios are sine, cosine, and tangent, which are abbreviated as sin, cos, and tan, respectively.

These ratios can be used to find missing side lengths or angle measures in a right triangle, and they have many applications in mathematics, physics, engineering, and other fields.

sin(angle) = opposite/hypotenuse

sin(50) = x/6.5

6.5*sin(50) = x

x = 6.5*sin(50)

x = 4.97928888027336, make sure your calculator is in degree mode

x = 4.98

Therefore, Using the trigonometric ratios the correct option is option a) 4.98.

To know more about trigonometric ratios refer to:

brainly.com/question/25122825

#SPJ4

If Pham burgers has beginning net fixed assets of $684218 , ending net fixed assets of $679426 and depreciation expense of $48859 , then the net capital spending for the year is $44067  .

For the Pham burgers , the Beginning Net Fixed Assets is = $684218 ;

the ending net fixed assets for Pham burgers is = $679426  ;

the depreciation expense for Pham burgers is = $48859 ;

the tax rate is 21% , which is not relevant for this question ;

The Net capital Spending for the year can be calculated using the formula :

[tex](Ending \; Net \; Fixed \;Assets - Beginning \; Net\; Fixed \; Assets) + Depreciation[/tex] ;

substituting the required values ,

we get ;

Net Capital Spending for year is = ($679426 - $684218) + $48859 ;

On simplifying ,

we get ;

= $44067 .

Therefore , the Net Capital Spending for the year is $44067  .

Learn more about Net Capital Spending here

https://brainly.com/question/17031145

#SPJ4

Step-by-step explanation:

61 pounds for 8 acres

1 pound for 8/61 = 0.131147541... ≈ 0.13 acres

6 pounds for $4

$1 for 6/4 = 3/2 = 1.5 pounds

By using The Pythagoras theorem, the expression g = f/2 represents the relationship between g and f if j = h and k = m option (A), i.e. g = 1/2  is correct.

Pythagoras theorem:

The Pythagorean Theorem, also known as the Pythagorean Theorem, describes the relationship between the three sides of a right triangle. According to the Pythagorean theorem, the square of the hypotenuse equals the sum of the squares of the other two sides of the triangle. If AB and AC are the sides and BC is the hypotenuse of the triangle then BC2 = AB2 + AC2 .where AB is the base, AC is the height or altitude and BC is the hypotenuse.

The area of ​​the square formed by the longest sides (hypotenuses) of right-angled triangles is equal to the sum of the areas. The number of squares formed by the other two sides of a right triangle. In a right triangle, the formula for the Pythagorean theorem is expressed as:

c² = a² + b²

where

'c' = hypotenuse of a right triangle

'a' and 'b' are the other two legs.

In the question:

It is given that:

If j = h and k = m

From the given question, C is a right-angle triangle as j = h and k = m

From the definition of the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides

         h² +k²= g²

From the triangle ΔABC

(j + h)² +(m + h)² = f²

⇒ (h + h)² +(k+ k)² = f²

⇒ (2h)² +(2k)²= f²

⇒ 4h²+ 4k² = f²

⇒ 4(h²+k²) = f²

⇒ 4×g² = f²

⇒ (2g)² = f²

⇒ 2g = f

⇒ g = f/2

Thus, the expression g = f/2 represents the relationship between g and f if j = h and k = m option (A) is correct.

Learn more about Pythagoras Theorem:

https://brainly.com/question/343682

#SPJ4

The starting value of the noisy at the y-axis is represented by the equation's 22.7 y-intercept.

To calculate the % slope, multiply the percent elevation difference between two locations by the distance between them. The change in grade between two places is referred to as a "rise." The distance between the sites is known as the run. Therefore, the formula for percent slope is (increase/jog) x 100.

Given that such scatter plot depicts the stadium's loudest conditions depending on the amount of spectators present The linear model is provided more by equation y=1.5x+22.7, where x is the number of spectators in the stadium, expressed in thousands, and y is the maximum noise level. y=1.5x+22.7

y=1.5x+22.7 is the expression for the highest noise. The gradient in the following equation is 1.5. The starting value of such noise somewhere at y-axis is represented by the y-intercept of something like the equation, which is 22.7.

To know more about Slope visit:

https://brainly.com/question/16949303

#SPJ4

Therefore , the solution to the given problem of number line comes out to be option 2 543 is correct.

An introduction to mathematics tool is the number line, which is a visual integer depiction of real numbers. It is a representation of an intensity line. Each actual figure is taken to symbolize a point on the real number, or each precise figure is taken to symbolize a position. On a number line, distances between increments are equal. A line's numbers can only be answered in the way that is specified by those numbers. The question that corresponds with the number will define how it is used. B: Speak your mind.

Here,

Given :

Number are as follows : 221 ,543,28492 and 92349

Thus,

To find that the number is divisible by 3 but not 9.

So , as we know that sum of individual number of that number is divisible by 3 .

Then thw hole number is divisible by 3 .

So , we see 543 is divisible by 3 but not 9 .

Therefore , the solution to the given problem of number line comes out to be option 2 543 is correct.

To know more about number line visit:

https://brainly.com/question/13425491

#SPJ4

a number is  divisible by 3 if the sum of its digits is divisible by 3.

a number is  divisible by 9 if the sum of its digits is divisible by 3.

the  number  divisible by 3 but not by 9 is 543,  

The probability that B will equal 40, where random variable B represent the number in the sample who have a bachelor’s degree is 1.1340323e-12, that is 1.1340323 × 10⁻¹².

The question is asking for the probability that B, the number of residents in the sample of 50 who have a bachelor's degree, will equal 40. To calculate this probability, we need to use the binomial probability formula, which is:

P(B = x) = (n choose x) × pˣ × (1-p)⁽ⁿ⁻ˣ⁾

where:

n = sample size (50)

p = probability of success (31%)

x = number of successes (40)

So, the probability that B will equal 40 is:

P(B = 40) = (50 choose 40) × (0.31)⁴⁰ × (0.69)⁽⁵⁰ ⁻ ⁴⁰⁾

P(B = 40) = 1.1340323e-12

This is a very small probability, which means that it is very unlikely that exactly 40 of the 50 residents in the sample will have a bachelor's degree.

--The question is incomplete, answering to the question below--

"According to a recent survey, 31 percent of the residents of a certain state who are age 25 years or older have a bachelor’s degree. A random sample of 50 residents of the state, age 25 years or older, will be selected. Let the random variable B represent the number in the sample who have a bachelor’s degree. What is the probability that B will equal 40 ?"

To know more on binomial probability distribution

https://brainly.com/question/29350029

#SPJ4

Cindy gets 117 Canadian dollars as exchange.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that in 2003 the exchange rate between the United States and Canada was three Canadian dollars to two US Dollars

Cindy has 78 US dollars to exchange when she visits Canada

We need to find the number of Canadian dollars could she get in exchange

Let the unknown value be x

Formulate a proportion

3/2=x/78

Apply cross multiplication

3×78=2x

234=2x

Divide both sides by 2

x=117

Hence, Cindy gets 117 Canadian dollars as exchange.

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ5

Solve for x values that satisfy a quadratic inequality to write interval notation. This usually involves factoring the quadratic and putting it equal to zero, then utilizing the inequality sign to select viable solutions. After finding the answers, write (a,b) to indicate the interval of x-values that make the inequality true. The interval notation for -3 and 5 is (-3,5).

Generally, Before you can create an interval notation for a quadratic inequality, you must first solve for the values of x that are compatible with the inequality being satisfied. In most cases, this will require factoring the quadratic expression and fixing it so that it equals zero.

After that, the sign of inequality will be used to decide which solutions are appropriate. After you have determined the solutions, you may indicate the range of x-values that cause the inequality to hold using the notation (a,b), where a and b stand for the solutions, respectively.

As an illustration, the interval notation would look like this if the answers were -3 and 5. (-3,5).

Read more about interval notation

https://brainly.com/question/29531272

#SPJ1

Answer:

Candelas - 154cm

Dianas - 162 cm

Step-by-step explanation:

Median is the mean of the two middle numbers when the numbers are arranged in an ascending order.

We will first have to workout the order when they are placed in ascending order.

Note: Everything here is in ascending order.

Albertos cannot be the shortest as if that happened, the median will not be 160 (Dianas will have to be 179cm as the given range is 21 cm and the mean of Candelas and Bill can never be 160 cm.)

Albertos will have to be second as it cannot be third.( The median will not be 160 when the third number is greater than the second number.)

Now, Dianas will have to be third. ( It can't be first, nor it can be fourth as the median of the height will not be possible to be 160 again without changing the order.)

So, next, obviously, Candelas is first.

So, the order is,

Candelas, Albertos, Dianas, Bill

or,

Candelas , 158, Dianas, 175cm.

Dianas is 162 cm if the mean of 158 cm and Dianas's height is 160 cm.

Candelas's height is 175 - 21 = 154 cm

So the height of Candelas is 154 and height of Dianas is 162.

Answer:

30, 75, 105

Step-by-step explanation:

Answer:Dilation is the increase or decrease in the size of a figure by a factor k. If a figure is dilated to produce an image, they are similar, hence the ratio of the corresponding sides are proportional. The length of the side between the vertices A′ and B′ is 16/7 units. Find out more on transformation at: brainly.com/question/1548871 Advertisement

Step-by-step explanation:

The equation represents the function on the graph is f(x)= cos 4x.

What is the function on the graph?

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

We have given,

A: f(x)= cos 1/4x

B: f(x)= sin 4x

C: f(x)= cos 4x

D: f(x)= sin 1/4x

To find the equation represent the function on the graph:

f(x) = cos 4x

let take the values on the x-axis of the graph,

x = п/2, п, 3п/2, 2п, 5п/2

For cos 360 degrees, the angle 360° lies on the positive x-axis. Thus cos 360° value = 1

Since the cosine function is a periodic function, we can represent cos 360° as, cos 360 degrees = cos(360° + n × 360°), n ∈ Z.

⇒ cos 360° = cos 720° = cos 1080°, and so on.

so, cos 4( п/2) = cos 4( 3п/2) = cos 4( 2п) = cos 4( 5п/2) = 1.

Hence, the equation represents the function on the graph is f(x)= cos 4x.

To learn more about the function of the graph  visit,

https://brainly.com/question/28122661

#SPJ1

Answer: x > - 9 or x < - 26

Step-by-step explanation:

Ok, so modulus means that 0.2x + 3.5 is either greater than 1.7, or less than -1.7. Putting that in equation, we get,

0.2x + 3.5 > 1.7 or 0.2x + 3.5 < -1.7

0.2x > -1.8 or 0.2x < -5.2

x > -9 or x < -26

There u go.

Is used to estimate the concentration of viable microorganisms in a sample by means of replicating liquid broth growth in ten-fold dilutions.

According to the Side Angle Side (SAS) postulate, two sides and the included angle of one triangle must be congruent to two sides and the included angle of another triangle in order for these two triangles to be considered congruent.

A is measured at a 40° angle. Measurement in mathematics refers to the quantification of a variety of quantities, including length, weight, capacity, and volume. Any amount is measured and expressed in two parts: a numerical value and the particular unit.

The most often measured quantities are the following: Length. Measurement units can be expressed in writing as symbols, words, or abbreviations. Use the following words for fundamental measuring units: 25 pounds, 12 inches. Use the following symbols to denote derived units of measurement: 38 mph, 27 ft/s2.

To learn more about measure of <IMN refer to:

https://brainly.com/question/25716982

#SPJ1

Answer:

Step-by-step explanation:

The function f(x) = 4x/(x-16) has two vertical asymptotes at x = 16. This can be seen by taking the limit of the function as x approaches 16 from the left and right sides.

On the left side, as x approaches 16 from the left, the denominator, (x-16), will approach 0, while the numerator, 4x, will approach -∞. This results in a limit of -∞, indicating a vertical asymptote at x = 16.

On the right side, as x approaches 16 from the right, the denominator, (x-16), will approach 0, while the numerator, 4x, will approach +∞. This results in a limit of +∞, also indicating a vertical asymptote at x = 16.

The end behavior of the function is that as x approaches +∞, the function will approach +∞, and as x approaches -∞, the function will approach -∞.

If the absolute value is greater than or greater than or equal to a negative number, the solution is all real numbers.

If the absolute value is less than zero, there is no solution.

If the absolute value is less than or equal to zero, there is one solution.

If the absolute value is greater than zero, the solution is all real numbers

except for the value which makes it equal to zero. This will be written as a union.

The absolute value is always a positive value and not a negative number. so those numbers are called absolute values.

It is represented as |a|, which defines the magnitude of any integer ‘a’.

Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin of a number line or coordinate system.

To know more about the absolute value of real functions:

https://brainly.com/question/24368848

#SPJ4

The probability that her 10th roll is her last roll in the expression of a decimal to the nearest thousandth is 0.039.

As per information given, the condition of the event will be:

As we can find the value of each probability, the probability of the tenth roll is the last roll will be:

Last roll in tenth = 1 x (5/6)⁸ x 1/6

Last roll in tenth = 0.03876133989

Since, the question is asking for the nearest thousandth, the answer will be 0.039

Learn more about probability here

https://brainly.com/question/24756209

#SPJ4

The non zero vector orthogonal to the plane through P,Q and R is ⟨0,18,−9⟩

A non-zero vector orthogonal to the plane through the points P, Q, and R can be found by taking the cross product of two vectors that lie in the plane. One way to do this is to take the difference vector of two of the points, and then take the cross product of that difference vector with the difference vector of the third point.

For example, we can use the difference vector QP = (-2,1,3) - (1,0,1) = (-3,1,2) and the difference vector RP = (4,2,5) - (1,0,1) = (3,2,4)  

The cross product of these two vectors is:

(-3,1,2) x (3,2,4) =⟨0,18,−9⟩

so the non-zero vector orthogonal to the plane through the points P, Q, and R is ⟨0,18,−9⟩

To know more about orthogonal vector click below :

https://brainly.com/question/30075875#

#SPJ4

The total amount in an account to the nearest cent after 3 years if the interest is compounded annually on an investment of $5600 at 7.65% is $6,986.02

To find the total amount in the account after 3 years, we need to use the formula for compound interest:

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

where A is the total amount, P is the initial investment (principal), r is the annual interest rate (expressed as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

In this case, P = $5600, r = 0.0765, n = 1 (because the interest is compounded annually), and t = 3. Plugging these values into the formula gives:

A = 5600(1 + 0.0765)^3

A = $6,986.02

So, the total amount in the account after 3 years, to the nearest cent, would be $6,986.02

To know more on compound interest

https://brainly.com/question/13155407

#SPJ4

Answer: A

Step-by-step explanation:

A.

It makes an AA similarity(both share 1 angle, and both have right angles)

The value of h(5,4) is 86 in the given function h(x, y) = x² + 3xy-(y-x)

What is a function ?

function can be defined as the relation in which it relates an input to the output.

Given ,

Let a function of 2 variables be defined by

h(x, y) = x² + 3xy-(y-x),

So, the value of h(5,4)

put x = 5 and y = 4 in the function h(x, y) = x² + 3xy-(y-x)

h (5,4) = 5*5 + 3*5*4 - (4-5)

h(5,4) = 25 + 60 - (-1)

h(5,4) = 25+60+1

h(5,4) = 86

Hence, The value of h(5,4) is 86

To learn more about function from the given link.

https://brainly.com/question/12431044

#SPJ1

The ticket prices that would allow the theater to make $600 in revenue are $120 and $13.4.

In order for the theater to make $0 in revenue, the ticket price would have to be $4. This can be determined by setting the revenue functions equal to 0 and solving for p.

For p (120p - 4p) = 0

120p - 4p = 0

4p = 120

p = $30

For 120p - 4p2 = 0

120p - 4p2 = 0

4p2 = 120p

p2 = 30p

p = $4

To find the ticket prices that would allow the theater to make $600 in revenue, we can set the revenue functions equal to 600 and solve for p.

For p (120p - 4p) = 600

120p - 4p = 600

4p = 120 + 600

p = $120

For 120p - 4p2 = 600

120p - 4p2 = 600

4p2 = 120 + 600

p2 = 30 + 150

[tex]p = $\sqrt{180} \approx $13.4[/tex]

Learn more about total price here:

https://brainly.com/question/29141827

#SPJ4

Answer:

Slope of a parallel line :      [tex]\boxed{-\frac{7}{5}}[/tex]

Slope of a perpendicular line:      [tex]\boxed{\frac{5}{7}}[/tex]

Step-by-step explanation:

Parallel lines have same slope

Perpendicular line will have a slope which is the negative of the reciprocal of the line. In other words, the product of the two slopes should be - 1

[tex]\textrm{First convert the line equation to slope-intercept form } y = mx + b\\\\-7x - 5y = -1\\\\\textrm{Add 7x to both sides }\\\\-5y = 7x -1\\\\\textrm{Divide both sides by -5}\\\\y = -\dfrac{7}{5} x+ \dfrac{1}{5}\\\\[/tex]

The slope of this line is
[tex]-\dfrac{7}{5}[/tex]
which is the coefficient of x

A parallel line will also have the same slope of
[tex]-\dfrac{7}{5}[/tex]  
ANSWER 1

A perpendicular line will have slope
[tex]- \dfrac{1}{-\dfrac{7}{5}} = \dfrac{5}{7}[/tex]
ANSWER 2

Check by multiply both slopes to see if it results in  - 1

[tex]-\dfrac{7}{5} \times \dfrac{5}{7} = -1[/tex]

Step-by-step explanation:

always bring the equation into the form

y = ...

in that case the slope is simply the factor of x.

-7x - 5y = -1

-5y = 7x - 1

y = (-7/5)x + 1/5

so, the slope is -7/5.

a parallel line must have the same slope : -7/5.

a perpendicular slope turns the original y/x slope upside-down and flips the sign :

5/7

Question 10

[tex]\frac{\sin x}{7}=\frac{\sin 85^{\circ}}{8}\\\\\sin x=\frac{7\sin 85^{\circ}}{8}\\\\x \approx 60.7^{\circ}, 119.3^{\circ}[/tex]

However, the second case does not satisfy the angle sum of a triangle, so [tex]x \approx 60.7^{\circ}[/tex].

Question 12

[tex]\frac{\sin x}{19}=\frac{\sin 34^{\circ}}{12}\\\\\sin x=\frac{19\sin 34^{\circ}}{12}\\ \\ x \approx 62.3^{\circ}, 117.7^{\circ}[/tex]

Both of these cases satisfy the angle sum of a triangle.