A woman invested $15,000 part in 7% stocks and the remainder in 9% bonds. If her yearly yield from both investments is $1,230.00, how much did she invest at each rate?

Answers

Answer 1

Using the simple interest relation, the amount invested in stocks and bond respectively is $15,000 and $2000

Simple interest

Principal × rate × time

Let her total principal = p

Stock :

Interest = 15000 × 0.07 × 1 = 1050

Bond :

Interest = (p - 15000) × 0.09 = 0.09p - 1350

Total interest earned :

1050 + 0.09p - 1350 = 1230

-300 + 0.09p = 1230

0.09p = 1230 + 300

0.09p = 1530

p = $17000

Hence,

Amount invested in stock at 7% = $15000

Amount invested in bond at 9% = $17000 - 15000 = $2000

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Related Questions

10.com
Leg, width
and height

Answers

Answer:

volume = length × breadth × height

v = l × b × h

= 6 × 7 × 10

= 420 cm³

so the volume of the cubeoid is 420 cm³

Step-by-step explanation:

brainliest plz

A penguin walks 10 feet in 6 seconds. How far does he walk in 45 seconds?

Answers

75 feet in 45 seconds
The penguin would walk 75 feet.

If a bag contains 16 red, 4 yellow, 20 blue, and eight white balloons, what is the part to whole ratio of red balloons to all balloons?

Answers

Answer:  1:3

Step-by-step explanation:

(add) 16 + 4 + 20, + 8 = 48.

Then simplify 16:48 = 2:6 = 1:3

Hope this helped, have a great day/night!

~IFoundJiminsLostJams~

Please help!!!
I need help finding the answer.

Answers

Answer:

2nd option

Step-by-step explanation:

The shaded area = outside area - inner area

                           = x² - (x - 6)² ← expand using FOIL

                         = x² - (x² - 12x + 36) ← distribute parenthesis by - 1

                        = x² - x² + 12x - 36 ← collect like terms

                        = 12x - 36

given deductions for this week: federal tax $61.34, FICA $52.05, and state $7.92 what is the annual federal tax deduction?
- $6,308,.12
-$3,189.68
-$3,152.06
-$1,594.84​

Answers

Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.

Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:

The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.

$ 61.34 x 52 = X $ 3,189.68 = X

Therefore, the annual Federal Tax deduction is $ 3,189.68.

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Jane paid $110 for an item at 40% off. What was the original price?

Answers

Answer:

$183.33

Step-by-step explanation:


Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year. The other offers a starting salary of $28,000 plus a raise of $1,800
when the two jobs will have the same salary?

Answers

The difference in starting pay:

32,000 - 28,000 = 4,000

The difference in raises:

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Answer 5 years

Two or more expressions with an Equal sign is called as Equation. After 5 years the two jobs will have the same salary

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that,

Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year.

The other offers a starting salary of $28,000 plus a raise of $1,800.

The difference in starting pay:

Thirty two thousand minus twenty eight thousand equal to four thousand.

32,000 - 28,000 = 4,000

The difference in raises:

Eighteen thousand minus thousand equal to eight hundred.

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Hence after 5 years the two jobs will have the same salary.

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Solve for c.

-2.2 - 0.1c = -1.9

Answer: c = _____

Answers

Answer:

c = -3

Step-by-step explanation:

-2.2 - 0.1c = -1.9

-0.1c = 0.3

c = -3

Hopefully this helps!

Brainliest please?

Cho các tập hợp
A =( x∈R|x²-5x+4≤0)
B= (x∈R|x-1|≤1)
C=(x∈R|x²-7x+6≤0)
xác định: (A∪B)∩C
(A∩B)∪C

Answers

ANSWER:

B.

CAN YOU BRAINLEST ME THANK YOU

HOPE IT HELPS YOU

(Pre calc) I only need to do part A i would love to have some help I will make it 120 Points

Answers

Answer:

The domain should be X

Step-by-step explanation:

I'm a bit unsure but I think it's correct

Hi hi! I'd appreciate the help, and I'll give Brainliest. I need this now please!​

Answers

Answer:

Step-by-step explanation:

There are a few different ratios you can use:

2:1 = 12:6 = 24:12

3:1 = 12:4 = 36:12

4:1 = 12:3 = 48:12

5:1 = 15:3 = 60:12

These are just a few i could give

In Canada, 92% of the households have televisions.
72% of households have televisions and internet access.
5% have neither. Use appropriate probability notation to answer the following:

A) create a relative frequency table of this situation.

Answers

Answer: Let "T" denote households with television

"I" denote households with internet

and "N" denote households with neither of these.

Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,

0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,

a)

House                 Probability

Nothing                0.05

Only television      0.23

Only internet         0.03

Both                   0.69

b) P(internet but no television) = P(only internet) = 0.03

c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)

d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375

e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.

Step-by-step explanation:

Find the distance from point A(15,−21) to the line 5x+2y = 4 . Round your answer to the nearest tenth.

Answers

Answer:

5.4 units

Step-by-step explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4

pls help i’m so confused

Answers

Answer:

I think your answer is i

Step-by-step explanation:

The rotational symmetry would be letters i

The letter with rotational symmetry is i

o
Addison is considering two sales jobs. She
estimates her total monthly sales will average $18,000. Which job should Addison take if she wants to earn more money each month? How much more will she earn?

A commission of 24% of her total
monthly sales.

Salary of $4,000 with a commission of 12.25% on her total monthly sales
over $14,500.


Answers

Answer: job 2     $ 108.75

Step-by-step explanation:

The total income after adding commission will be $5776.25.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that salary of $4,000 with a commission of 12.25% on her total monthly sales of over $14,500.

Total income will be calculated as:-

Total income = 4000 + 12.25% of 14500

Total income = 4000 + 1776.25

Total income = $5776.25

Therefore, the total income after adding the commission will be $5776.25.

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Select the correct answer.
An archway is modeled by the equation y = -2x2 + 8x. A rod is to be placed across the archway at an angle defined by the equation x − 2.23y + 10.34 = 0. If the rod is attached to the archway at points A and B, such that point B is at a higher level than point A, at what distance from the ground level is point B?

A.
8 units

B.
6 units

C.
5 units

D.
3 units

Answers

Answer:

D. 3 units

Step-by-step explanation:

after you add you get a another number you make a another unit and get your answer or you can get the answer of the another number and add it to together.

that what I think it is

Write the equation of the line , in slope - intercept form , with following information : rate of change: -1 point : (3, - 3)

Answers

Answer:

y = -x

Step-by-step explanation:

Slope-intercept form looks like this: y = mx + b, with m being the slope or rate of change and b being the y-intercept. We already know the rate of change, so we can put -1 as m: y = -1x + b. To find our y-intercept, we can plug the point (3, -3) into the equation and solve for b:

-3 = -1(3) + b

-3 = -3 + b

b = 0

So we have y = -1x + 0. This can be simplified to y = -x.

Class 6 MATHS is this correct? ​

Answers

Answer:

yes it is correct great job

Which problem could the bar diagram represent

Answers

ANSWER: is there a picture for the question?

Step-by-step explanation:

A sample of 800 computer chips revealed that 57% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 62% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.02 level.

Answers

Answer:yes

Step-by-step explanation:

yes

Is triangle RWS triangle QWT

Answers

Answer:

Try it as a RWS triangle

HELPPPPP I NEEED TO GET A GOOD GRADE OR I'M BUSTEDDDDDDDD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

(MATH)

I WILL GIVE BRAINILEST! PIC DOWN BELOW!!

Answers

Answer:

D) -31

Step-by-step explanation:

use PEMDAS

3^2-(5 x 2^3)

3^2-(5 x 8)

3^2-40

9-40

-31

Given matrices A and B shown below, find (3)A+(8)B.

Answers

Answer:

[tex]\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]

What is the slope of the line that contains these points?

Answers

Answer:

8

Step-by-step explanation:

Let,

x1 = 0

x2 = 1

y1 = 18

y2 = 26

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 26 - 18 ) / ( 1 - 0 )

= 8 / 1

Slope = 8

Calculate the area of the shape below. Give your answer in cm².​

Answers

Answer:

area of the shape below is

53cm^2

.......

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer: 2,208$

Step-by-step explanation:

To solve this problem, simply determine how much each attendee costs by doing 960$/30attendees = 32$/attendee.  Then, simply multiply this number by 69 to get: 2,208$

Hope it helps :) and let me know if you want me to elaborate further.

NEVER GOING TO GIVE YOU UP NEVER GOING TO LET YOU DOWN NEVER GOING TO RUN AROUND AND DESERT YOU NEVER GOING TO MAKE YOU CRY NEVER GOING TO TELL A LIE AND HURT YOU OOOOOOOO GIVE YOU UP OOOOOO NEVER GOINT TO GIVE NEVER GOING TO GIVE
[tex]3642164 \times 363.6466 = 666[/tex]
[tex] \infty [/tex]

Answers

Answer:

thank you!

Step-by-step explanation:

State the radius of this circle:
X^2 +Y^2=121

Answers

Answer:

radius = 11

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 121 ← is the equation of a circle centred at the origin

with r² = 121 , then

r = [tex]\sqrt{121}[/tex] = 11

What will NEVER change?
In a sequence of translations, reflections, and rotations,
what will NEVER change from the pre-image to the
image?
(Select all that apply)
The lengths of the line segments.
T
The position of the object.
The measures of the angles.
The orientation of the object.

Answers

Answer:

Step-by-step explanation:

the lengths of the line segments

Solve for the values of x for each of the following exponential equations and inequalities.
1. 82− = 2
3. 5 = 25−2
4. 3+2 ≥ 27
5. 43 = 8−1

Answers

Answer:

8

2−x

=2

8^{2-x}=8^{1/3}8

2−x

=8

1/3

2-x=\dfrac{1}{3}2−x=

3

1

x=\dfrac{5}{3}x=

3

5

2.

(\dfrac{1}{2})^{x}<\dfrac{1}{8}(

2

1

)

x

<

8

1

(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(

2

1

)

x

<(

2

1

)

3

x>3x>3

3.

5^x=25^{x-2}5

x

=25

x−2

25^{x/2}=25^{x-2}25

x/2

=25

x−2

\dfrac{x}{2}=x-2

2

x

=x−2

\dfrac{x}{2}=2

2

x

=2

x=4x=4

4.

3^{x+2}\geq273

x+2

≥27

3^{x+2}\geq3^33

x+2

≥3

3

x+2\geq3x+2≥3

x\geq1x≥1

5.

4^{3x}=8^{x-1}4

3x

=8

x−1

2^{6x}=2^{3x-3}2

6x

=2

3x−3

6x=3x-36x=3x−3

3x=-33x=−3

x=-1x=−1

Step-by-step explanation:

Other Questions
Everyone help me please!!!!I am needing your answers now,PlzzzzzzIf you answers my questions very good and excalty,I will give you the brainliest.Plzzz,Help me with this!!!!!!!!!!!Im needing your answers now What effect did the wife's disappearance have on her husband, as related in the underlined passages of Sec. 56-58 of Twain's "The Californian's Tale"? A. It made him bitter and resentful of everyone around him. B. He just went on alone, forgetting he was ever married to her. C. He never recovered from his grief. "Never has been sane an hour since." HELP! I need some assistance Que son 4 Characterizations para describir a Victor. Primero de Secundaria by Gary soto. Find 4 quotes de la lectura. Por lo menos una inderecta y una directa. Please helpI will give Brainliest! Select all the statements that best describe the table below. Hi I need help with this Use hamper, abhor and bigot together in a sentence Pls help me: 1) 3/5 3= 2 )2 2/5= x = - 23y = - 5z = - 10[tex](x-12)/ (y+z)\\[/tex] Jean-Jacques Rousseaus contemporary issues.A.Civil Liberties (e.g., protest)B.EducationC.Gun RightsD.HealthcareC.ImmigrationE.Impeachment A store buys 10 shirts at a whole sale price of $5 each. They want to mark up theprice by 50%. How much do they sell each t-shirt for?$100$7.50$55$5.50PLS I NEED HELPPP In 3 years Xavier will be 3 times older than Joanne is today. Joanne is 24. How old is Xavier? Solve and graph the solution.|4x-13| = 5x+4 Will Mark Brainiest for best answer. Pls Help!In the middle of a stormy night, emergency medical responder Zoey is dispatched to a busy mountain road. It seems that a delivery truck has failed to clear a tight curve and has tipped onto its side. The driver is conscious but unable to move. The truck is situated halfway into the road, right on the curve, and is blocking one lane. What steps should Zoey take to keep herself, the truck driver, and others on the road safe while she attends to this patient? What was significant about the Declaration of Independence?It put an end to the war with Britain.It was later avoided because it was considered to have many flaws.It was used to define the relationship between people and government.It established the importance of government power. What is a nonrenewable resource?(1 point)a resource that is in limited supplya resource that is used for energya resource that harms the environment when it is useda resource that can replace itself quicklyAre all rocks made up of one mineral?(1 point)No. If it contains more minerals, however, then it is not useful to people.Yes. If it contains more minerals, then it would lose its orderly internal structure.No. Some rocks may contain several minerals.Yes. 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Is coal a mineral?(1 point)No, coal is not a mineral because coal is made of dead plants.No, coal is not a mineral because coal can be burned to produce electricity and heat.Yes, coal is a mineral because all rocks that are useful to people are minerals.Yes, coal is a mineral because all rocks are nonliving solid minerals.Which is a positive aspect of fossil fuels?(1 point)They are ecologically friendly..They can be recycled and reused.They provide energy for cars, trains, and heat.They do not need processing to produce energy.Which is a negative aspect of fossil fuels?(1 point)They take a long time to produce energy.They are difficult to find.They cause pollution on Earth.They are difficult to transport.Which is a disadvantage of solar power?(1 point)It requires turbines.It can be harmful to wildlife.It requires burning fuel, which causes air pollution.It can only be used where there is lots of sunlight.Which is a thick, sticky, tar-like deposit of bitumen mixed into sandy sediment?(1 point)shalesandstoneoil sandcoalWhich statement best explains an environmental outcome of using fossil fuels for energy?(1 point)When fossil fuels are burned, hazardous ash is created and carried through the environment by wind and dropped into nearby lakes and ponds.Fossils fuels produce waste that exposes humans to dangerous levels of radiation.When fossil fuels are burned, they release toxic gases into the air that cause pollution and increase global warming.Fossil fuels release carbon dioxide which plants use to make food.Why is soil considered a vital resource?(1 point)It is hard to destroy and easy to make.It provides the source of material for different landforms.It plays a variety of roles for plants and animals.It is the place where all nutrients on Earth are stored.Which describes a renewable energy resource?(1 point)It is more prone to serious accidents.It is less expensive than fossil fuels.It produces less pollutants than fossil fuels.It consists of carbon and hydrogen molecules.Use the scenario to answer the question.Edwin buys a water bottle, reuses it twice, and then recycles it. 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