A conservative investor has $100,000 to invest. The investor has decided to use three vehicles for generating income: Municipal bonds, a certificate of deposit (CD), and a money market account. After reading a financial newsletter, the investor also has identified several additional restrictions on the investments:
a. No more than 40 percent of investment should be in bonds
b. The proportion allocated to the money market account will be at least double the amount in the CD
c. The annual return will be 8% for bonds, 9% for the CD and 7% for the money market account. Assume that the investor wants to maximize the total annual return
Then, formulate the LP model for this problem, ignoring any transaction costs and the potential for different investment

Answers

Answer 1

Answer: Here, let X,Y,ZX,Y,Z indicate the amount in dollars to be invested

Step-by-step explanation: Here, let X,Y,ZX,Y,Z indicate the amount in dollars to be invested


Related Questions

Please help fast very urgent

Answers

Answer: C 1 - 5i

Step-by-step explanation:

1 is real part graphed sideways

- 5i is imaginary part (that’s what the i means)

And is graphed up and down

HELP

Divide the polynomial by the monomial.

21xy^2+ 15x^3y - 12z^2y
over 3x

Answers

3 ../;/$/&’abajwjagsva
the answer to this is a

Please help
Which poly nominal has the zeros 1,-2i and 3

Answers

The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

What is polynomial function?

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

According to question:

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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what is the measure of angle R ?
hey guys 50 points! plz help in middle of my final

Answers

Answer:

29 degrees I think

Step-by-step explanation:

the width of a rectangle is 6n - 3.5 feet and the length is 3.5n + 7 feet

Answers

The perimeter of the rectangle is 19n + 7.

How to find the perimeter of a rectangle?

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The perimeter of a rectangle is the sum of the whole sides of the rectangle.

Therefore, let's find the perimeter of the rectangle with width of 6n - 3.5 ft and length of 3.5n + 7 ft. Hence,

perimeter of a rectangle = 2(l + w)

where

l = lengthw = width

Therefore,

w = 6n - 3.5

l = 3.5n + 7

Hence,

perimeter of a rectangle = 2(6n - 3.5 +  3.5n + 7)

perimeter of a rectangle = 2(6n + 3.5n - 3.5 + 7)

perimeter of a rectangle = 2(9.5n + 3.5)

perimeter of a rectangle = 19n + 7

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The graph shows money in dollars as a function of time
in days. Write an equation for the function, and
describe a situation that it could represent. Include the
initial value, rate of change, and what each quantity
represents in the situation.

Answers

Each quantity represents in the situation are y is  overall financial time (day). 10 times the daily wage earned. 25 times the money's initial worth.

What each quantity represents in the situation.

The graph shows money in dollars as a function of time ,an equation for the function, and describe a situation that it could represent. Include the

initial value, rate of change

The slope is equal to 10 10 (simplify) = 175-75 / 15-5 100

y - 75 = 10(x - 5) (x - 5)

4 - 75 = 10x - 50 y - 75 + 75 = 10x - 10 + 75 y = 10x + 2.5

If you start with $25 and can make $10 every day, money do you have after x days are

y = overall financial time (day).

10 times the daily wage earned.

25 times the money's initial worth.

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Please help will mark Brainly

Answers

Answer:

  y < 1/2x +6

Step-by-step explanation:

You want the inequality graphed in the given figure.

Line and shading

The line is dashed, and the shading is below it, so the inequality will have the form ...

  y < ...

This is because the boundary line is not included, and the y-values in the solution are less than those on the boundary line.

Boundary line

The y-intercept is at +6, where the line crosses the y-axis.

The line goes 2 units to the right for each 1 unit up, so its slope is ...

  m = rise/run = 1/2

The slope-intercept equation for the boundary line is ...

  y = mx +b . . . . . . slope m; y-intercept b

  y = 1/2x +6 . . . . . equation of the boundary line in the graph

Inequality

Putting the boundary line expression into the inequality form gives the inequality that describes the graph:

  y < 1/2x +6

The bus fare in a city is 1.75 . People who use the bus have the option of purchasing a monthly coupon book for . With the coupon​ book, the fare is reduced to Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book. g

Answers

Answer:

26 times

Step-by-step explanation:

Given

Without Coupon

[tex]Rate = 1.75[/tex] per trip

With Coupon

[tex]Coupon = 26[/tex]

[tex]Rate = 0.75[/tex] per trip

Required

The number of trips to be taken for both option (i.e. with or without coupon) to be equal

See comment for complete question

Let the number of trips in a month be x.

Without Coupon

Total amount is:

[tex]Total = Rate * x[/tex]

[tex]Total = 1.75x[/tex]

Without Coupon

Total amount is:

[tex]Total = Coupon + Rate * x[/tex]

[tex]Total = 26 + 0.75x[/tex]

To get x, we simply equate both options

[tex]1.75x = 26 + 0.75x[/tex]

Collect like terms

[tex]-0.75x + 1.75x = 26[/tex]

[tex]x = 26[/tex]

Need help asap please

Answers

Answer:

it's b

Step-by-step explanation:

Fill in the blanks using the following choices: reject, fail to reject, sufficient, enough, not sufficient, not enough If the p value is 0.32 to test if there is a difference exists between the proportion of students who have ear infections at one school and the other, your decision is to the null and the conclusion: There is evidence to support the alternative that the proportion of students who have ear infections at one school and the other are different.

Answers

Answer:

FAIL TO REJECT

NOT ENOUGH

Step-by-step explanation:

Given a Pvalue of 0.32

Decision region :

When Pvalue < α ; Reject the Null and conclude that there is significant or enough evidence to accept the alternative hypothesis.

Otherwise, fail to reject reject the null and conclude that, there is not enough evidence to accept the alternative hypothesis

Therefore, for the scenario above, where Pvalue = 0.32

Possible α values are ; 0.1, 0.05, 0.01

For all α - values listed, the Pvalue is greater than α

Pvalue > α ; Hence, FAIL TO REJECT the Null.

Conclusion :

There is NOT ENOUGH evidence to support the alternative that the proportion of students who have ear infection at one school and the other is different.

The population of North Carolina was approximately 9.5 million in 2010. The population has increased by about 1.3% per year. If the population continues to grow at this rate, in what year will North Carolina’s population reach 12 million?

Answers

The population of North Carolina will reach 12 million in the year 2028.

What is Population Growth?

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Given that,

Population in 2010 = 9.5 million

Population is increasing to 1.3% per year.

Annual growth rate = 1.3% = 1.3/100 = 0.013

We have the population growth formula,

P = P₀ e^(r t)

Here, P₀ = 9.5 million = 9,500,000

and P = 12 million = 12,000,000

r = 0.013

We have to find t.

12,000,000 = 9,500,000 e^(0.013t)

120 / 95 = e^(0.013t)

Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,

㏑(12/9.5) = 0.013t × ㏑e

[㏑(12/9.5) ÷ 0.013] = t  [since ln e = 1]

t = 17.97 ≈ 18 years

The year is 2010 + 18 = 2028

Hence in the year 2028, the population will be 12 million.

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native topic 3
R
Is the function f(x)
neither?
2x5 + 4x + 6 odd, even or

Answers

Is that hit Artist and rapper dababy?????

any help please - Simplify the expression 3(x + 2) –5(2x + 1). Factorise the expression 12x –18y and 2x2–5x –3. (3+6=9)

Answers

Simplifying the expression, the answer would be -7x+1

Solution

3 (x+2) - 5 (2x+1)

3x + 6 - 10x -5

COLLECT LIKE TERMS

3x - 10x + 6 - 5

= -7x+1

Therra bought a gold bracelet for $168. She paid a finance charge of $49 and paid over eight month
What is the approximate APR for her purchase?
45.3%
43.8%
40.1%
38.2%

Answers

Answer:

B. 43.8%

Step-by-step explanation:

Approximate APR (annual percentage rate) is:

(49/168)*(12/8)*100% = 43.75% ≈ 43.8%

Correct choice is B

Find the length of the missing side. It’s a written response PLEASE HELP!!!

Answers

I think the answer is:
5

Michelle earns 15.5% commission selling jewelry. How
much will she make if she sells $400 worth of jewelry?

Answers

Answer:

$62

Step-by-step explanation:

First, convert 15.5% to a decimal by dividing by 100

15.5/100 = 0.155

Then multiply that by $400

400 x 0.155 = $62

Answer:

The answer is Michelle will earn $62 dollars commission selling $400 dollars.

Step-by-step explanation:

68 points if someone answers this. Rotate the object 180 degrees counterclockwise around the origin. What are the new coordinates?

Answers

Answer:

HEY YOU! Yes, you, sitting behind your screen reading this. I don't know you and you certainly don't know me. But I want to tell you something. Everyone has their own story. Yours might be filled with joy and happiness, or it might be clouded with pain and misfortune. I want you to know that you're a beautiful, wonderful, talented person. Even if your life isn't going the way you want it to right now, I know that you'll be able to make it out alright. I want you to do me a favor. I know I'm just a stranger, but just trust me, okay? Every time you see your reflection, be it in the mirror in the bathroom, in a window somewhere, or in a puddle on the street, I want you to look at yourself and give yourself a hug. Because even if you aren't the prettiest or the smartest or the funniest, you're something that no one else can be: you. And you are the greatest thing you can be. Smile at strangers. Be confident in yourself. Cry when you feel like crying, laugh when you feel like laughing. Treat yourself like a god/goddess because you deserve it. Hold your head up and keep your heart open. You're worth everything and then some. And always remember that no matter what, even if it doesn't seem like it, you're everything to someone. I was bullied for so long and was told that I wasn't beautiful, and it broke me down. But I realized that I am beautiful and so is everyone else. I wanted to make sure no one felt upset like I did

Step-by-step explanation:

NO LINKS PLEASE
The ratio of sweaters to dresses that Jennifer has is 4:1. If Jennifer has 12 sweaters then how many dresses must she have?

Answers

Answer:

3

Step-by-step explanation:

divide 12 by 4 and then multiply that number by 1

Answer:

3

Step-by-step explanation:

3 Because 4 = 1 and if its 12 then u have to divide it by 4 which is 3 also can u tell me if i got it right casue if its wrong im really sorry but im 99.99999999% sure its 3 lol

Find the perimeter of the figure​

Answers

Answer:

114 ft

Step-by-step explanation:

We split the figure into two rectangles. The long triangles perimeter is equal to 30 + 30 + 9 + 9 = 78. Then, the top triangle is equal to 9 + 9 + 9 + 9, which is equal to 36. Then to find the perimeter of the entire figure, we add these two shapes together, 78 + 36, which gets us to our final answer, 114 ft.

Instructions: Find ZJ if YJ = 24.
Confused...help please

Answers

Answer:

[tex]\huge \boxed{ZJ=8}[/tex]

Step-by-step explanation:

ZJ= 24/3ZJ= 8

so, 8 is your answer

[tex]-----------[/tex]

hope it helps...

have a great day!!

A camper lights an oil lantern at 12 noon lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant tare of each hour. At 2 p.m., the amount of oil left in the lantern is 63 ounces. At 5 p.m., the amount of oil left in the lantern is 61 1/2 ounces. Based on the average rate of oil burning per hour, how much oil, in ounces, was in the lantern at 12 noon?
Show your work.

Answers

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The rate at which the oil burns.

1 hour = 2/3 ounce

At 12 noon = 193/3 = 64.33 ounces

At 2 pm = 63 ounces

At 5 pm = 61 ounces

The amount of oil at 12 noon is 64.33 ounces.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.

At 2 p.m., the amount of oil left in the lantern is 63 ounces.

At 5 p.m., the amount of oil left in the lantern is 61 ounces.

This means,

Amount of oil burnt in the lantern from 2 pm to 5 pm.

= 63 ounces - 61 ounces

= 2 ounces

Now,

3 hours = 2 ounces

2 hours = 1.33 ounces

1 hour = 0.67 ounces

Now,

The number of hours from 12 noon to 2 pm.

= 2 hours

So,

The amount of oil at 12 noon.

= 63 + 4/3

= (189 + 4) / 3

= 193/3 ounces

Thus,

The amount of oil at 12 noon is 65 ounces.

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Solve for the value of p

Answers

Answer:

p=43

Step-by-step explanation:

(p+7)+(3p+1)=180

Susan’s red notebook cover is 20 centimeters by 30 centimeters. She has a sticker for each letter in her name. Each sticker is a square that measures 3 centimeters on each side. She puts all 5 stickers on her notebook. How much of the red notebook cover is still showing?

Answers

Answer:

Find the surface area of her notebook.

30 + 30 + 20 + 20 = 100

Now find the surface area of the square stickers.

2 + 2 + 2 + 2 = 8

So this is the surface area of one square, now multiply it by 8.

8 * 7 = 56

This is the surface area of all the stickers, now subtract it to the surface area of the notebook:

100 - 56 = 44

So 44 centimeters of the notebook cover will still be showing.

Step-by-step explanation:

anyone please help mee with geometry

Answers

Answer:

y = 5

Step-by-step explanation:

Because of the perpendicular bisector, we know that WZ is congruent to WX. Therfore, we can set their equations as equal to eachother and solve for y.

id- 6217974205 p/w-123​

Answers

Answer:

For what-

Step-by-step explanation:

huh

Answer:

whats this for....

have a good day :)

Step-by-step explanation:

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=10°, and EF = 94 feet. Find the length of DE to the nearest tenth of a foot.

Answers

Answer:

541.3 ft

Step-by-step explanation:

The 94 foot side is opposite the 10 degree angle (see attached image), and the hypotenuse is the side you want to find.

The trigonometric ration that uses opposite and hypotenuse is sine.

Sine = opposite / hypotenuse

[tex]\sin{10^circ}=\frac{94}{x}\\\\x \sin{10^\circ}=94\\\\x=\frac{94}{\sin{10^\circ}} \approx 541.3[/tex]

On 4 January 2020 Thabo deposited P7 800 into savings account. The simple interest rate agreed upon was 6.2% per annum. What will be accumulated amount in the savings account on 21 November 2020? (Assume a year has 365 days).

Answers

The accumulated amount in the savings account on 21 November 2020 will be $426.63.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

On 4 January 2020, Thabo deposited $7,800 into a savings account. The simple interest rate agreed upon was 6.2% per annum.

The number of days from 4 Jan 2020 to 21 Nov 2020 will be given as,

Total days = 28 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 21

Total days = 322

The accumulated amount in the savings account on 21 November 2020 will be given as,

I = [$7,800 x 6.2 x (322 / 365)] / 100

I = $426.63

The accumulated amount in the savings account on 21 November 2020 will be $426.63.

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algebraically solve for x
-3/x+3 + 1/2 = x/6 - 1/2

Answers

i got -4.3, but i had to round a lot so that answer may not be exactly correct. :)

solve each system.
y=7-3x
3x+y=10

Answers

Answer: 0 = 3

Step-by-step explanation: If y = 7 - 3x, we can plug that in for y in the equation 3x + y = 10 by writing it as 3x + 7 - 3x = 10.

                                                                    - 7            - 7

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

                                                               3x - 3x        = 3

                                                                       0          = 3

N-2=10n+4/2

Please explain step by step to get picked brainliest

Answers

Answer:

n = -4/9

Step-by-step explanation:

first get rid of n on left side

-2 = 9n + 2

Get rid of 2 on right side

-4 = 9n

Make 9n into n

-4/9 = n

ans: n = -4/9


hope this helps :)

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