Josef owns four par value $1,000 bonds from dowc beverage co. each bond has a market value of 104.561 and gives 9.2% interest. josef also owns 170 shares of stock in dowc beverage co. stock in dowc beverage co. has a share price of 26.25 and pays a dividend of $2.38. if the broker josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold, which aspect of josef’s investment in dowc beverage co. has a greater percent yield, and how much greater is it? a. the stocks have a yield 2.15 percentage points higher than that of the bonds. b. the stocks have a yield 0.27 percentage points higher than that of the bonds. c. the bonds have a yield 1.35 percentage points higher than that of the stocks. d. the bonds have a yield 2.08 percentage points higher than that of the stocks.

The probability value of (m, n) is (1, 2^1005).

Let n be a positive odd integer. We are asked to find the probability that its reciprocal gives a terminating decimal. This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.

If n is less than 2010, then its only possible prime factors are 3, 7, 11, ..., 2009, since all primes greater than 2009 are greater than n. We want n to have no prime factors other than 2 and 5. There are 1005 odd integers less than 2010.

We want to count how many of these have no odd prime factors other than 3, 7, 11, ..., 2009. This is equivalent to counting how many subsets there are of {3, 7, 11, ..., 2009}. There are 1004 primes greater than 2 and less than 2010. Each of these primes is either in a subset or not in a subset. Thus, there are 2^1004 subsets of {3, 7, 11, ..., 2009}, including the empty set.

Thus, the probability is:

P = (number of subsets with no odd primes other than 3, 7, 11, ..., 2009) / 2^1004

We can count this number using the inclusion-exclusion principle. Let S be the set of odd integers less than 2010. Let Pi be the set of odd integers in S that are divisible by the prime pi, where pi is a prime greater than 2 and less than 2010. Let Pi,j be the set of odd integers in S that are divisible by both pi and pj, where i < j.

Then, the number of odd integers in S that have no prime factors other than 2 and 5 is:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...|

where the union is taken over all sets of primes with at least one element and less than or equal to 1005 elements.

By the inclusion-exclusion principle:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...| = ∑ (-1)^k ⋅ (∑ |Pi1,i2,...,ik|)

where the outer summation is from k = 0 to 1005, and the inner summation is taken over all combinations of primes with k elements.

This simplifies to:

(1/2) ⋅ (2^1004 + (-1)^1005)

Thus, the probability is: P = (1/2^1004) ⋅ (1/2) ⋅ (2^1004 + (-1)^1005) = 1/2 + 1/2^1005. Hence, (m, n) = (1, 2^1005).

Learn more about probability:

https://brainly.com/question/31828911

#SPJ11

Complete question:

If m/n is the probability that the reciprocal of a randomly selected positive odd integer less than 2010 gives a terminating decimal, with m and n being relatively prime positive integers. what is probability value of m and n?

The probability value of (m, n) is (1, 2^1005).This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.

Let n be a positive odd integer. We are asked to find the probability that its reciprocal gives a terminating decimal. This is equivalent to saying that the only prime factors of n are 2 and 5 because any other prime factor will yield a repeating decimal.

If n is less than 2010, then its only possible prime factors are 3, 7, 11, ..., 2009, since all primes greater than 2009 are greater than n. We want n to have no prime factors other than 2 and 5. There are 1005 odd integers less than 2010.

We want to count how many of these have no odd prime factors other than 3, 7, 11, ..., 2009. This is equivalent to counting how many subsets there are of {3, 7, 11, ..., 2009}. There are 1004 primes greater than 2 and less than 2010. Each of these primes is either in a subset or not in a subset. Thus, there are 2^1004 subsets of {3, 7, 11, ..., 2009}, including the empty set.

Thus, the probability is:

P = (number of subsets with no odd primes other than 3, 7, 11, ..., 2009) / 2^1004

We can count this number using the inclusion-exclusion principle. Let S be the set of odd integers less than 2010. Let Pi be the set of odd integers in S that are divisible by the prime pi, where pi is a prime greater than 2 and less than 2010. Let Pi,j be the set of odd integers in S that are divisible by both pi and pj, where i < j.

Then, the number of odd integers in S that have no prime factors other than 2 and 5 is:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...|

where the union is taken over all sets of primes with at least one element and less than or equal to 1005 elements.

By the inclusion-exclusion principle:

|S - ⋃ Pi + ⋃ Pi,j - ⋃ Pi,j,k + ...| = ∑ (-1)^k ⋅ (∑ |Pi1,i2,...,ik|)

where the outer summation is from k = 0 to 1005, and the inner summation is taken over all combinations of primes with k elements.

This simplifies to:

\((1/2) * (2^{1004} + (-1)^1005)\)

Thus, the probability is: P = \((1/2)^{1004}* (1/2) *(2^{1004} + (-1)^{1005}) = 1/2 + 1/2^{1005}.\)

Hence, (m, n) = (\(1, 2^{1005\)).

Learn more about probability:

brainly.com/question/31828911

#SPJ11

If all three models produce straight lines when graphed, they are linear models

Rewrite hypothesis 1 = 0 in terms of the other two models.

Hypothesis 1 in the first model is:B3 = 0.

Hypothesis 1 in the second model is: B2 = 0.

Hypothesis 1 in the third model is: B1 + 2B2 + 3B3 = 0.

All three models are linear in the parameters because each explanatory variable has a coefficient attached to it. Linear regression is the process of fitting a linear equation to a given set of data points.

This equation can be used to predict the value of the dependent variable (Y) based on the value of the independent variable (X).

A linear equation is an equation that produces a straight line when graphed.

Therefore, if all three models produce straight lines when graphed, they are linear models

Know more about hypothesis here:

https://brainly.com/question/606806

#SPJ11

Equation of the line  that passes through the midpoint and is perpendicular to PQ is 2x - y +1 = 0.

One way to describe a perpendicular bisector is as a line segment that cuts through another line segment at a 90 degree angle. Simply said, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle. Measuring a line segment that needs to be bisected will help you discover a perpendicular bisector.

The midway of the measured length can then be determined by dividing it by two. From this center, extend a line at a 90-degree angle. All you need to do to determine the perpendicular bisector of two points is to discover their midpoint and negative reciprocal, then enter these results into the slope-intercept form of the equation for a line.

Here points are P( -4 ,3 ) and Q ( 4,-1)

Mid -point of PQ :

\(=(\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\\\\=(\frac{-4+4}{2} ,\frac{3-1}{2} )\\\\=(0,1)\\\)

Slope of PQ:

\(m = \frac{y_{2}{-y_{1} } }{x_{2}{-x_{1} }} \\\\m =\frac{-1-3}{4+4}\\\\ m= \frac{-4}{8} \\\\m = \frac{-1}{2}\)

The slope of the line is Perpendicular to PQ

so, slope 2= -1/m

slope 2 = -1/(-1/2)

slope 2 = 2

Equation of the line  that passes through the midpoint and is perpendicular to PQ

\(y-y_{1} =m(x-x_{1}) \\y-1 =2(x-0}) \\\\y-1=2x\\\)

2x - y +1 = 0.

Learn more about perpendicular bisector visit: brainly.com/question/1761937

#SPJ4

Correct Question:

Find the midpoint of PQ with endpoints P (-4, 3) and Q (4,-1) . Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector.

Answer:

y = 18x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

here m = 18 and c = 2 , then

y = 18x + 2

Thus, the height of cone for the given values of circumference an f volume is found as: 4 cm.

A tri shape that resembles a cone is what is known as a conical shape. A cone has a flat end that gradually taper towards a single point at the top known as the apex. Most commonly, a conical shape's flat end has an oval or circular shape. Conical shapes are on your mind when you imagine an ice cream cone with only a pointed end.

Volume of a cone = 1/3 * π *r²*h

Given that:

using circumference c = 6π

c = 2πr (for circular base)

6π  = 2πr

r = 3 cm

Now, using the volume;

Volume of a cone = 1/3 * π *r²*h

1/3 * π *3²*h = 12π

3h = 12

h = 4 cm

Thus, the height of the cone for the given values of circumference an f volume is found as: 4 cm.

Know more about the conical shape:

https://brainly.com/question/27561023

#SPJ1

Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

To know more about array representation,visit:

https://brainly.in/question/5489688

#SPJ11

We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

Learn more about vectors

brainly.com/question/29740341

#SPJ11

Answer:

=

Step-by-step explanation:

3 feet = 1 yard, so knowing this, if you divide 12 feet by 3, you get 4

Another way you could check this is if you multiply the 4 yards by 3 feet per yard. You would get 12 feet.

Either way you do it, they are equal

Answer:

=

Step-by-step explanation:

      I am going to assume that this question is asking us to compare the two measures of distance.

      To do this, we need to convert them into the same unit. I am going to convert 4 yards into feet and leave 12 ft as 12 feet.

4 yards * 3 feet in a yard = 12 feet

Using the reflexive property, 12 feet is equal to 12 feet, so '=' completes this question.

100-meter rise, 72-meter descent followed by a 48-meter rise

100-72+48 = 76

after these 20 seconds, they are 76 meters higher than at the start of the ride

Answer:

$2597.50

Step-by-step explanation:

To calculate the amount of money Cameron has in his savings account now, we can use the formula for simple interest:

Interest = Principal * Rate * Time

Given that Cameron put $2500 in the savings account and the interest rate is 1.3%, we need to determine the time period. Since it is mentioned that it has been 3 years, we can substitute these values into the formula:

Interest = $2500 * 1.3% * 3 years

Calculating the interest:

Interest = $2500 * 0.013 * 3 = $97.50

To find the total amount in his savings account, we add the interest to the principal:

Total amount = Principal + Interest = $2500 + $97.50 = $2597.50

Therefore, Cameron has $2597.50 in his savings account now.

Answer: $2597.50

Step-by-step explanation: A=2500 (1+0.013*3) simplified we get 2500(1.039) and multiple all that and you get 2597.50

The baby bird's initial height above the ground would be 10 meters when it jumped.

I understand you would like to know the height of the baby bird above the ground when it jumped, using the function "f" that models its height (in meters) as a function of time (in seconds).
To find the bird's initial height above the ground when it jumped, we need to evaluate the function f at the time when the bird just jumped, which is at time t = 0 seconds.
Step 1: Plug t = 0 into the function f(t).
f(0) = (height of the bird at time t = 0 seconds)
Since you didn't provide the specific function f, I cannot give you the exact height value. However, once you have the function f(t), simply substitute t = 0 and calculate f(0) to find the bird's initial height above the ground when it jumped.
For example, if the function were f(t) = 10 - 2t, you would do:
f(0) = 10 - 2(0) = 10
the baby bird's initial height above the ground would be 10 meters when it jumped. Make sure to use your given function f(t) to find the accurate height for your problem.

For more questions on height

https://brainly.com/question/20595563

#SPJ11

The maximum height above the ground attained by the bird is 16 meters

The curve showing the travel path of the bird from a tree is a parabola.

Examining the graph attached in the problem, the maximum height reached with is same as the vertex of the parabola, is at point (2, 16)

hence we can say that the height reached by the bird is equal to 16 m

The attached graph shows the point marking the height the bird traveled

Learn more about parabola at

https://brainly.com/question/29635857

#SPJ1

Answer:

0.75 inches of snow

Step-by-step explanation:

During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.

12 hours = 9 inches of snow

1 hour = x

Cross Multiply

12 hours × x = 1 hour × 9 inches

x = 9/12

x = 0.75 inches

Therefore, 0.75 inches of snow fell at each hour.

Answer:

3 hrs. 30 mins.

Step-by-step explanation:

7:00 - 3:30

The correct option of the given question is option (c)  fissure.

When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.

To know more about Coding visit:

https://brainly.com/question/29775307

#SPJ11

The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.

In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.

The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.

To know more about Fissure related question visit:

https://brainly.com/question/28953403

#SPJ11

Answer:

6xsinx + 3x²cosx

Step-by-step explanation:

Differentiate using the product rule

Given y = f(x)(g(x) , then

\(\frac{dy}{dx}\) = f(x)g'(x) + g(x)f'(x)

Here f(x) = sinx ⇒ f'(x) = cosx

g(x) = 3x² ⇒ g'(x) = 6x

Thus

\(\frac{dy}{dx}\) = 6xsinx + 3x²cosx

Answer:

free points

Step-by-step explanation:

Answer:

etm

Step-by-step explanation:

yc

Answer:

41 days

Step-by-step explanation:

512.5 ÷ 12.5 = 41 days

Answer:

It is option 1

Step-by-step explanation:

domain is x and the two points range from -1 to 3. The picture quality wasn't that good so if I miss read sry. haha

Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Then:

\(N = n_1n_2n_3 = 3(15)(4) = 180\)

She can choose 180 different meals.

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866

Answer:

6 nickles

2 dimes 2 nickles

1 quarter 1 nickle 5 pennys

Answer:

i think c

Step-by-step explanation:

im very sorry if im wrong, but im pretty sure the answer is c

Answer:

The answer is #4

Step-by-step explanation:

Since he must buy 7 packs of chewing gum you multiply that to the price of chewing gum which is 0.75 cents.

The price of the juice bottle is 1,25 however the variable b represents the number of bottles bought.

The cost of the gum and Bottles of juice must be under 22 dollars therefore the inequality is less than or equal to 22 Dollars.

Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

Answers 2

Step-by-step explanation:

first you need to simplify then look for the simplified expression on the number line

Write the phrase as an expression the quotient of 22 and a number \(a\).The quotient of 22 and  \(a\)  number = 22/\(a\)

Given that

number = 22

quotient =   \(a\)

To find

The mathematical equation or relation between quotient of 22 and a number \(a\).

So according the question

We have

quotient = 22

divisor =   \(a\)

For finding the relation between given quotient and divisor, let's firstly know about Dividend, Divisor, Quotient and Remainder,

In Mathematics, the dividend is the value that is divided by another value to get the result. The dividend is the base of any division method.

An integer that divides another integer to obtain a result is called a divisor. The result of this division, or quotient, is the dividend, which is the original number that was divided.

Quotient = Dividend ÷ Divisor

When we divide one number by another, the result is a quotient. As an illustration, when we divide 6 by 3, we obtain the answer 2, which is the quotient. A decimal or an integer can both be used as the quotient. When dividing exactly, as when 10 ÷5 = 2, the quotient is an integer, whereas when dividing roughly, as when 12÷ 5 = 2.4, the quotient is a decimal. Although a quotient can be greater than the divisor, it will never be greater than the dividend.

The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). This value is called the remainder.

Now, from question  

We have a quotient of 22 that is \(a\).

So, 22 fully divided by \(a\).

In mathematical form,

                        = 22/\(a\)

The quotient of 22 and \(a\)  number = 22/\(a\)

To learn more about Dividend, Divisor, Quotient and Remainder please click on link:-

https://brainly.com/question/13024189

#SPJ4

2²ˣ ⁻ ⁵ = 128

Any equation with a variable in the exponent position is clearly an exponential equation.

The given solution for an exponential equation is x = 6.

For making this in expression form we need to add some values to it

hence multiply by 2 on both sides

2x = 12

subtract by -5 on both sides

2x- 5  =  7

multiply with ln 2 on both sides

2x - 5 ln2  =  7 ln 2

after taking antilog

2²ˣ ⁻ ⁵ = 128

Therefore, 2²ˣ ⁻ ⁵ = 128 is an exponential equation whose solution is x= 6.

Learn more about exponential equations here:

https://brainly.com/question/29506679

#SPJ1

Answer:

Step-by-step explanation:

25x+120=35x+80

25x+120 is Country Carpets equation

35x+80 is City carpets equation

x=4

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    25*x+120-(35*x+80)=0

Pull out like factors :

  -10x + 40  =   -10 • (x - 4)

Solve :    -10   =  0

Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

To begin with, let's recall the definition of a one-to-one function. A function f: A → B is one-to-one if every element in A is mapped to a unique element in B. In other words, no two distinct elements in A are mapped to the same element in B.
Now, let's assume that f is one-to-one and even. This means that f(-x) = f(x) for all x in R. To prove that f cannot be both one-to-one and even, we will use a proof by contradiction. Suppose f is both one-to-one and even. Then, for any x and y in R, if f(x) = f(y), we must have x = y. Now, let's consider the case when x and y are negative numbers such that x ≠ y. Since f is even, we have f(-x) = f(x) and f(-y) = f(y). However, since f is one-to-one, we cannot have f(-x) = f(-y) because x and y are distinct.Therefore, f cannot be both one-to-one and even. Alternatively, we could use the contrapositive of the statement. The contrapositive of "f one-to-one => f not even" is "f even => f not one-to-one". This means that if f is even, then it cannot be one-to-one. This is true because, as we showed earlier, if f is even, there exist distinct negative numbers that are mapped to the same value, which violates the one-to-one property. In conclusion, we have shown that if a function f is one-to-one, then it cannot be even, using either a proof by contradiction or the contrapositive of the statement.

learn more about Contrapositive here :

https://brainly.com/question/5306301

#SPJ11

❥\(\Large\pmb{ \underline {\tt Answer}}\)

Remember:-

Base of rectangular box is rectangle

Now Let's further exceed:-

we know:-

Area of rectangle = Length × Breadth

Therefore:

━━━━━━━━━━━━━━━━━━━

We get perimeter of lake 17281 miles and area of lake surface 23.761 square miles.

The total length calculated along the boundary of the circular shaped lake.

It is the region bounded by the circular boundary of a two-dimensional lake surface.

Perimeter of circular lake is determined by formula, C= 2πr

Area of lake surface is calculated by πr²

in our data, diameter of lake =5.5 miles

 now radius of lake surface =5.5/2= 2.75 miles

perimeter of lake = 2π×2.75= 17.281 miles

area of lake surface= 3.142x(2.75)² =23.761 square miles

hence, perimeter and area are calculated

to know more about perimeter and area visit:

https://brainly.com/question/30042344

#SPJ1