Jane has $10000 to invest in AAA and AA bonds. The AAA bond yields a 5% and requieres a minimum investment of $1000. The AA bond yields an average of 8% and requires a minimum investment of $2000. Jane requires that at least three times as much money should be invested in the AAA bond as in the AA bond

Answers

Answer 1
Given:
$10,000 to invest
AAA bonds - minimum of $1,000 yields 5%
AA bonds - minimum of $2,000 yields 8%

Jane requires that at least three times as much money should be invested in the AAA bond as in the AA bond

Let x represent the investment in AA bond.

x + 3x = 10,000
4x = 10,000
x = 10,000 / 4
x = 2,500

Jane should invest 2,500 to AA bond.
Jane should invest 7,500 to AAA bond. This amount is 3 times the amount invested in AA bond.

2,500 * 8% = 200
2,500 + 200 = 2,700

7,500 * 5% = 375
7,500 + 375 = 7,875

Jane's $10,000 investment will earn $575 interest for a total of $10,575.

Related Questions

What is the length of BB' ?

Answers

B(0,2) B'(5,4)
D(BB') = √(5-0)^2 + (4-2)^2
= √(25 + 4)
= √29
= 5.39

answer
 length of BB' = √29 or 5.39
2/5 I think so !!! Demosos . Com helps a lot.

The sum of 2 numbers is 80. The ratio of the numbers is 3 to 5. Find the large number

Answers

larger : smaller = 5 : 3
larger : total = 5 : (3 +5) = 5 : 8

The total of 8 "ratio units" represents the sum 80, so each ratio unit represents 10. The larger number is 5 ratio units, so is 50.

The price has changed from $120 to $75. by how many percent did it change?

Answers

Final answer:

The price has changed by 37.5% from $120 to $75.

Explanation:

To find the percentage change, we can use the formula:

Percentage change = ((new value - old value) / old value) * 100

In this case, the old value is $120 and the new value is $75. Plugging these values into the formula, we get:

Percentage change = (($75 - $120) / $120) * 100 = (-$45 / $120) * 100 = -0.375 * 100 = -37.5%

Therefore, the price has changed by 37.5%.

Learn more about Percentage Change here:

https://brainly.com/question/35855541

#SPJ12

Final answer:

The percentage change in price from $120 to $75 is calculated by subtracting the initial price from the final price, dividing the result by the initial price, and then multiplying by 100. The price has decreased by 37.5%.

Explanation:

The question involves calculating the percentage change in price. To do this, you start by subtracting the final price ($75) from the initial price ($120) to determine the difference. In this case, the difference is $120 - $75 = $45. This represents the total change in price.

To find out the percentage change represented by this difference, you divide the difference ($45) by the original price ($120) and then multiply the result by 100 to convert it to a percentage. This can be represented by the formula:
((Final Price - Initial Price) / Initial Price) x 100.

So, the percentage change would be calculated as follows: ((120 - 75) / 120) * 100 = 37.5%. Therefore, the price has decreased by 37.5%.

Learn more about Percentage Change here:

https://brainly.com/question/35855541

#SPJ12

Melinda rents paddle boats down at the pier. She uses 5.5 feet of nylon rope to tie off each boat. She started with 80 feet of rope. After securing all the boats, she was left with more than 3 feet of rope. How many boats did Melinda tie off?

Answers

First write an expression for the problem:
b= boats
80-5.5b > 3
-5.5b -77
(divide both sides of the in equality by -5.5)
NOTE: when you divide in equalities by negatives you MUST FLIP THE SIGN!

b < 14

boats= less than 14 boats in order to have greater than 3ft of rope left.

Answer: 
Melinda must have tied off less than 14 boats.

Let me know if you still have any questions!

Answer: Less than 14

Step-by-step explanation: My teacher helped me on this problem and i got less then 14 and i submitted it and it was right i really this helped

The length of the longer leg of a right triangle is 19ft more than five times the length of the shorter leg. the length of the hypotenuse is 20ft more than five times the length of the shorter leg. find the side lengths of the triangle.

Answers

Let x represent the length of the shorter leg.

Longer leg: 5x +19
Hypotenuse: 5x +20

Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive

The side length of the triangle are 13, 84, 85 feet.
Final answer:

This problem can be solved by creating and solving a quadratic equation based on the Pythagorean theorem. We denote the length of the shorter leg as 'x', and substitute '5x+19' and '5x+20' as lengths of the longer leg and hypotenuse in the theorem.

Explanation:

The entire problem revolves around the application of the Pythagorean theorem, which in a right-angled triangle gives the relationship a² + b² = c², were a and b are the lengths of the shorter sides (legs) and c is the length of the longest side (hypotenuse).

Let's denote the length of the shorter leg as 'x'. From the problem, we know that the longer leg is 5x+19 and the hypotenuse is 5x+20. Using the Pythagorean theorem, we have:

((5x+19)² + x²) = (5x+20)².

You can solve this equation to find out the value of 'x', following which you can substitute this value back into 5x+19 and 5x+20 to find lengths of the longer leg and hypotenuse.

Learn more about Pythagorean theorem here:

https://brainly.com/question/28361847

#SPJ3

SOMEONE HELP ME PLEASE?????????????????????????????????????????????????

Which sentence contains a punctuation error?

One-quarter cup of chocolate chips does not seem like enough.

She is a well known basketball player.

This well-known recipe is the one I always use for oatmeal cookies.

He bakes loaves of the best-tasting bread we have ever eaten.

Thanks for helping.

Answers

He bakes loaves of the best-tasting bread we have ever eaten 

has a error 


The 4th sentence has a mistake

  Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $156.00. What is her rate per hour?

Answers

The answer is  $9.75 hope i helped!!
x= rate per hour

Multiply each day's hours by the rate of pay. Add the days times the rate of pay which equals the total pay.

9x + 7x= $156
combine like terms
16x= 156
divide both sides by 16
x= $9.75

ANSWER: Her rate per hour is $9.75.

Hope this helps! :)

What is the length of the segment with endpoints (-3,4) and (5,4)?

Answers

The answer is 8 units
Use phytagorean theorem to solve the problem.
l² = Δx² + Δy²

Δ means change. Δx means the change of x, and Δy means the change of y.
l² = (x₂ - x₁)² + (y₂ - y₁)²
l² = (5 - (-3))² + (4 - 4)²
l² = (5 + 3)² + 0
l² = 8²
l = 8

The length of the segment is 8

What is the slope of a line that is perpendicular to the line shown?
(3, 3) (-3, -1)

Answers

Answer:

-3/2

Step-by-step explanation:

The line shown has slope ...

... (y2 -y1)/(x2 -x1) = (-1 -3)/(-3 -3) = -4/-6 = 2/3

The slope of the perpendicular line is the opposite of the reciprocal of this:

... -1/(2/3) = -3/2

What is the simplified form of the expression? x8 - 2y10 - 5x5

Answers

we have
x8* 2y10 * 5x5
product of two powers that have the same base is equal to a power of said base that has as exponent the sum of the exponents

x8* 2y10 * 5x5----------> (1)*(2)*(5)*[x^(8+5)]*y^10=10*[x^13]*y^10

the answer is 10*[x^13]*y^10

A company pays its commercial agents 5% of any deal. What should the value of a deal be for the agent to earn $2000?

Answers

The value of the deal should be $40,000.


remember that 5% as a decimal is .05.Let x = value of deal
The equation would be .05x = $2000 
Divide both sides by 0.05.
x=40,000       
 

Answer:

The value of the deal should be $40,000.

Step-by-step explanation:

remember that 5% as a decimal is .05.Let x = value of deal

The equation would be .05x = $2000

Divide both sides by 0.05.

x=40,000

In the regular nonagon shown, what is the measure of angle x?

Answers

The answer is 45 hope this helps

I cant see any nonagons sorry.

Anna is buying trim to go around her rug. Her rug measures 54 inches by 42 inches. How many inches of trim will Anna need to buy

Answers

Anna will need to buy 192 inches of trim.

54+54=108
42+42=84
108+84=192
P = 2*L + 2*W
L= 54 inches
W = 42 inches

P = 2*54 + 2*42
P = 108 + 84
P = 192 inches. she needs to buy

Bonds from the city of Denver with a face value of $1,000 each are selling at 110.611. If Sean wishes to purchase three such bonds, how much can he expect to pay?

Answers

A bond quote (100.611) is the last price bond is traded at. A bond quote is the percentage of a face value. 
In this case, the bond quote is 110.611 which means that bond is traded at 110.611% of its face value.
If Sean wants to buy 3 bonds he needs to pay:
3*1000*110.611/100=$3318.33

Answer:

The answer is C-3,318.33

Step-by-step explanation:

just took the test homie

Isabella jump rope is 2.03 meters long. Avery jump rope is 0.15 meters shorter than Idabellas jump rope. Measures in meters, what is the length of Averys jump rope?

Answers

Hello!

Isabella's jump rope is 2.03 metres long, and Avery's is 0.15 metres shorter than Isabellas. To calculate how long Avery's jump rope is, we must subtract:

2.03 - 0.15 = 1.88

ANSWER:

The length of Avery's jump rope is 1.88 metres.

What is the sum of the series? ​ ∑ i=1 5 4i ​ Enter your answer in the box.

Answers

Answer:

the answer IS 60

Step-by-step explanation:

The sum of the given series  [tex]\sum 4i[/tex]  is 60.

What do you mean by the sum of the series?

A series can have a sum of each term of the series tends to zero but there are some series in which has each term tends to be zero and do not have a sum.

   5

  [tex]\sum 4i[/tex]  = 4 × 1 + 4 × 2 + 4 × 3 + 4× 4 + 4 × 5

  i=1        = 4 + 8 + 12 + 16 + 20

              = 60

Hence, the sum of the series  [tex]\sum 4i[/tex]  is 60.

Learn more about the series;

https://brainly.com/question/11346378

What is the constant of proportionality in the equation 2y=6x

Answers

The constant of proportionality in the equation 2y = 6x is [tex]\( \frac{1}{3} \)[/tex].

In the equation (2y = 6x), the constant of proportionality represents the relationship between x and y. To isolate it, divide both sides of the equation by (6x):

[tex]\[\frac{2y}{6x} = \frac{6x}{6x}\][/tex]

This simplifies to:

[tex]\[\frac{1}{3} = \frac{y}{x}\][/tex]

So, the constant of proportionality is [tex]\(1/3\)[/tex], indicating that for every unit increase in x, y increases by [tex]\(1/3\)[/tex].

Help!! There are at least 3 slices of bread left in the bag how do I write an inequality for that?

Answers

at least = 3 or more
x = slices of bread
x ≥ 3
the "≥" means greater than or equal, which basically means at least

Answer:

I need help on this question too but instead of 3 its 7!!! i also need to write both a inequality and a graph! pls respond as fast as possible.

Step-by-step explanation:

thanks

What could be the length of the third side of the triangle if it is known that the first two sides are 15 and 27?

Please tell me the answer if you absoulutley know it

Answers

It will be between the sum and difference of the two given sides.

12 < third side < 42

3) Ashley uses the two points on the coordinate plane to represent the location of her house and the public library. Each unit on the graph represents 1 mi. How far is the public library from Ashley’s? Show your work.

Answers

By counting grid squares, we see the library is 5 miles north and 6 miles east of Ashley's house. Using the Pythagorean theorem, we can find the straight-line distance to be
.. d = √(5^2 +6^2)
.. = √(25 +36)
.. = √61 . . . . . miles
.. ≈ 7.81 . . . . miles

In a circle with radius 4 cm the diameters AC and BD are perpendicular to each other. Prove that ABCD is a square. Find the area of ABCD.

Answers

This can be proven by using the Pythagorean theorem.    Draw a circle and label the radius 4 cm.  Then draw the diameters in to create a perpendicular intersection at the center.  If you then label the points that make the diameter, you will see that when connected they create right isosceles triangles.  a^2 + b^2 = c ^2, so 4 x 4 + 4 x 4 = c^2.  32 = c^2.  Because you are going to be multiplying it by itself to calculate the area, you have you answer of 32 square centimeters.  NO need to find the square root and them square it again!

What would be the radius of A= 530.66 square meter

Answers

530.66÷3.14=169
√169=√r²
13=r

Scott viewed 72 classic cars at a car show.Of the cars he viewed,3/8 were sports cars. How many sports cars did Scott view

Answers

27 sports cars were viewed. 72/9 = 8. 8x3 = 24.
72/8=9
9x3=27
Therefore Scott viewed 27 sports cars.

The unit used to measure an angle is called

Answers

There are several.
Some of them are: degree, radian, grad

4/15 divided by 8/25

Answers

It's about .83333. You divide 4/15 first and then 8/25. then you divide both after that
4         25            100                        5
-    x    -     =.       -          simplify≈    -
15       8              120                        6
multiply by the reciprocal to divide fractions

Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? Identify the system of equations that models the given scenario. t + u = 9 10t + u = 10u + t – 9 t + u = 9 10t + u = 10u + t t + u = 9 tu = ut + 9

Answers

The answer would be "t + u = 9 and 10t + u = 10u + t - 9". This can be found if you replaced t with 4 and u with 5. Adding the 2 digits would give you 9, and using the formula "10t + u = 10u + t - 9". Replace t and u with 4 and 5 then simplify. 10*4 + 5 = 10*5 + 4 - 9. Simplifying you'd get 45 = 54 - 9 or 45 = 45 which make the statement true. Thus making "t + u = 9 and 10t + u = 10u + t - 9" the answer.

I hope this helps!

The equations described in this problem are:

t + u = 9

10t + u = 10u + t - 9

When the two equations are substituted and solved, t = 4 and u = 5.

The original number described in the word problem is 45.

PLEASE HELP ASAP
Which polynomial is a quintic binomial? 3x^5+2 x^2+4x 5x^2−2x+1 x^4+2x^3−x^2+7x+11

Answers

You have that:

 1. By definition, a binomial is a polynomial formed by two terms. 
 2. A quintic binomial is a binomial of degree 5. This means that its highest exponent is 5.
 3. Keeping this on mind, you must identify which binomial has degree 5.
 4. As you can see, the expression 3x^5+2 is a binomial, because it has two terms and the highest degree is 5.
 5. Thefore, the answer is: 3x^5+2

(100+ POINTS)
A fresh cup of coffee is placed on a table to cool. The table below shows the relationship between the temperature of the coffee, y, as it relates to time in minutes, x.



Time (minutes), x 0 1 2 3
Temperature (F°), y 200 150 112.5 84.375



Which function can be used to represent the relationship shown in the table?
y = (0.75) x
y = 0.75(200) x
y = 200(-0.75) x
y = 200(0.75) x

Answers

For this case we have a function of the form:
 [tex]y = A * (b) ^ x [/tex]
 Where,
 A: initial temperature
 b: rate of change
 x: time in minutes
 y: temperature
 We must find the values of the constants A and b.
 To do this, substituting values we have:
 [tex]200 = A * (b) ^ 0 150 = A * (b) ^ 1[/tex]
 We have a system of two equations with two unknowns.
 Dividing both equations we have:
 [tex] \frac{A * (b) ^ 1}{A * (b) ^ 0} = \frac{150}{200} [/tex]
 [tex]b = 0.75 [/tex]
 From equation 1 we have that the value of A is:
 [tex]A = 200 [/tex]
 Substituting values in the generic equation we have:
 [tex]y = 200 * (0.75) ^ x [/tex]
 Answer:
 
A function that can be used to represent the relationship shown in the table is:
 
[tex]y = 200 * (0.75) ^ x[/tex]


y = 200 * (0.75) ^ x

Which ordered pair makes both inequalities true?

y < –x + 1

y > x

Answers

For this case, what you must do is to graph both lines in the same Cartesian plane.
 Once graphed, you must see by mathematical inspection the points that meet both inequalities.
 For this case, all points in the shaded region comply with the inequation system.
 Answer:
 All the ordered pairs of the shaded region.

Answer:

B on Edge 2020

Step-by-step explanation:

(-2,2)

a medication is supplied in a mixture that contains 7.5 mg of medication per millimeter of solution. the dosage rate is 10.0 mg of active ingredient per kilogram of body weight. calculate the number of millimeters of medication that should be given to a patient weighing 187 lb.

Answers

Concentration = 7.5 mg/mL
Dosage = 10 mg/kg
For a patient of 187 lb = 187.*0.4536 lb*kg/lb = 84.82 kg
Dose = 10 mg/kg * 84.82 kg /7.5 mg/mL
= 113.1 mL
Other Questions
Michaela decided to adopt a healthier set of eating habits and to start exercising as soon as she got married. her decision was based on her knowledge that _____ will influence her spouse's habits as well. Twelve year old Jamie has decided that he wants to be a doctor when he grows up. From the viewpoint of each of the following perspectives, explain why Jamie may have made this decision. Biological or Neuroscience Psychoanalytic Behaviorist Humanistic Cognitive How many grams of silver bromide could dissolve in one liter of 0.350 molar sodium thiosulfate solution? Assume that 1.0 mol of C4H10 is completely burned in excess oxygen to form carbon dioxide and water. How many moles of CO2 would be produced? What method is used to manage contention-based access on a wireless network? The pelagic zone is best defined as which of the following One of the most important ways that behavior becomes integrated is through the development of Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x) = 10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container. Rounded to the nearest tenth, how much radioactive material will remain after 10 hours? At this point in time, due to the fact that, feel free to, and in the near future are examples of ________ How does the volume of the cylinder compare to the volume of the cone Story or book:Center of the EarthWhich character is most likely to say something dogmatically? A.Harry B.Hans C.Gretchen D.Professor The christian church of western europe from the council of Nicaea to its split during the protestant reformation was the..A. eastern orthodox churchB. roman catholic churchC. Lutheran churchD. Anglican churchE. Presbyterian church From these data, you propose a model of how s. aureus changes from a harmless bacterium on the skin to a serious pathogen inside a wound. arrange the steps in order to complete your model. not all labels will be used. see hint 1 for help getting started. hints in 'the story of an hour,' the flashback of letting us know of Mrs. Mallory's heart condition was used to:A. create suspenseB. develop characterC. make her later death believableD. create a flashback In his recollection of the incident why did Winston go to a tube station with his family 2. Why are recipes important in the culinary arts world? Name two reasons. A community mental health nurse cares for a patient diagnosed with schizophrenia who takes olanzapine. in addition to monitoring the patient's mental status, the nurse regularly should assess what of the patient? Why sometimes people use credit card to pay for items instead of just using cash what evidence of a chemical change is observed when rust forms on iron Which is NOT a Correct name for the line shown