On two investments totaling $14,000, Peter lost 4% on one and earned 6% on the other. If his net annual receipts were $312, how much was each investment?

Answers

Answer 1

Answer:

5280 , 8720

Step-by-step explanation:

suppose the one is x, another is y

x+y=14000

y(6%)-x(4%)=312

x=5280

y=8720

net annual receipt means the income so you have to substract the lost from the gains


Related Questions

Need help with thissss!!

Answers

Answer:

f(5) = 38

Step-by-step explanation:

f(a) = 7(a + 1) - 4

f(5) = 7(5 + 1) - 4

f(5) = 7(6) - 4

f(5) = 42 - 4

f(5) = 38

What is the answer to, one half of 9?

Answers

Answer:

4.5

Step-by-step explanation:

One half of 9 = 9/2 = 4.5

Which of the following statements about resale price maintenance is​ correct? Resale price maintenance​ _______.
A. is considered by some economists to be efficient and by other economists to be inefficient
B. is also called horizontal price fixing
C. is legal under the Sherman Act
D. occurs when a manufacturer prints the price of its good directly on the packaging

Answers

Answer:

A. is considered by some economists to be efficient and by other economists to be inefficient

Step-by-step explanation:

Find the values of x, y, and z angle measurements

Answers

X=40 y=100 x=40 I think

For the amusement of the guests, some hotels have elevators on the outside of the building. One such hotel is 400 feet high. You are standing by a window 100 feet above the ground and 150 feet away from the hotel, and the elevator descends at a constant speed of 20 ft/sec, starting at time t = 0, where t is time in seconds. Let θ be the angle between the line of your horizon and your line of sight to the elevator. 4 (a) Find a formula for h(t), the elevator's height above the ground as it descends from the top of the hotel. h(t) = (b) Using your answer to part (a), express θ as a function of time t. θ(t) = Find the rate of change of θ with respect to t. dθ dt = (c) The rate of change of θ is a measure of how fast the elevator appears to you to be moving. At what time does the elevator appear to be moving fastest? time = seconds At what height does the elevator appear to be moving fastest?

Answers

9514 1404 393

Answer:

  a.  h(t) = -20t +400

  b.  θ(t) = arctan(2 -2/15t); dθ/dt = -30/(1125 -120t +4t^2)

  c.  15 seconds; 100 ft

Step-by-step explanation:

a. The initial height of the elevator is 400 ft. The rate of change of height is -20 ft/s, so the height equation can be ...

  h(t) = -20t +400

__

b. The tangent of the angle above the line of sight is "opposite"/"adjacent":

  tan(θ) = (h(t) -100)/(150) = -2/15t +2

  θ(t) = arctan(2 -2/15t) . . . . radians

The derivative of the angle function is ...

  dθ/dt = 1/(1+(2 -2/15t)^2)(-2/15)

  dθ/dt = -30/(1125 -120t +4t^2)

__

c. The value of dθ/dt will have a peak where the denominator has a minimum, at t = -(-120)/2(4)) = 15. (The quadratic vertex coordinate is t=-b/(2a).)

The elevator appears to be moving fastest at t=15 seconds.

The height at that time is ...

  h(15) = 400 -20(15) = 100

The elevator appears to be moving fastest when it is at eye level, 100 ft above the ground.

Find a polynomial f (x) of degree 4 that has the following zeros.
6 (multiplicity 2), –1, 0
Leave your answer in factored form.

Answers

Step-by-step explanation:

The polynomial with given zero's is:

f(x) = a(x - 6)(x - 6)(x - (-1))(x - 0)

Or simplified:

f(x) = ax(x + 1)(x - 6)², here a is the coefficient we don't know

Frank had 42 rocks that he wanted to share with his friends. If he gave each friend the same number of rocks(and kept the same number of rocks for himself), how many rocks did each person get ?

Answers

Answer:6. 42 split 7 ways is 6

Step-by-step explanation:

In fast will give brainly

Answers

☆Answer :

= 1 × ⅔ × 5/3

= ⅔ × 5/3

= 10/9

= 1 1/9 ft³ (D.)

A game designer is creating a computer animation of a rectangle with sides that vary in size. The length of the rectangle in centimeters after t seconds is given by the expression 2t-9, while the width is given by the expression 1 + t. After how many seconds is the rectangle a square?

Answers

Answer:

Step-by-step explanation:

Squares have equal length and widths

2t - 9 = 1 + t

2t - t - 9 + 9 = 1 + 9 + t - t

t = 10 s

Clayton Burrington purchased the following school supplies on s
$2.79 notebook for $1.99, a $1.49 ballpoint pen for $0.99, a $1.99 p
notebook paper for $0.99, and a $3.49 automatic pencil for $2.79.
Clayton estimated the total savings to be $7.00. (a) Is the answer
reasonable? (b) If not, what error was made?

Answers

Answer:

The answer is not reasonable.

The error that Clayton made was that he accidentally added all of the products that had a saved price tag on it, he did not find the difference between the old price and the new, sales price.

Step-by-step explanation:

Hope this helps :) Mark me brainliest if anyone else answers this question.

Will someone PLEASSSSSSEEEEEEEE help me

Answers

Answer:

C

Step-by-step explanation:

i did the math she needs to wake up at 8:00

Which equations are true? Select all that apply.

A.
66
÷
10
1
=
6
.
6
B.
660
÷
10
0
=
66
C.
6
,
600
÷
1
,
000
=
0
.
66
D.
0
.
66
÷
10
1
=
0
.
066
E.
6
÷
100
=
0
.
06

Answers

Answer:

a b d e

Step-by-step explanation:

i just took the test and got a hundred

Equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06​.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Make sure your equation is correct by comparing the values on either side of the equals sign to create a true equation. A true equation must have the same numerical values on both sides of the "=" sign. One real equation is, for instance, 9 = 9. A valid equation is 5 + 4 = 9.

As a result, the true equations are,

66: 10 = 6.6

660: 10° = 66

6: 100 = 0.06​

Thus, equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06​.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

What’s the answer need in 20 minutes

Answers

G(x)=-6

Explanation

G(1)=-1-5

G(1)=-6

Draw a square and its diaginals

Answers

Answer:

you cant draw......................

Step-by-step explanation:

A shadow 12 meters long is cast by a water tower that is 16 meters tall. What is the length of the shadow cast by a nearby utility pole that that is 12 meters tall?

A. 6
B. 9
C. 13
D.16

Answers

perdón xbdkdbsjjznsNxnznxn

1. Two linear functions are shown below. Which function has the greater rate of change? Function A Function B 10 у y 4 32 8 8 6 44 12 4 56 2 16 68 Х 0 20 80 0 2 4 6​

Answers

Answer:

I don't understand clear ur question

Which of the functions below have period pie check all that apply

Answers

There is no photo attached.

If the principal is $3,200.00 and the rate of interest is 8%, what is the final account balance after 3 years

Answers

The answer is $2,432. I hope this is correct:) sorry if it isn’t

Answer:

i think it would round to 4031.08

Step-by-step explanation:

3200.00 * 1.08^3

=4032.0784


What is the key difference between simple interest and compound interest, and how does this difference affect the
effectiveness of each?

Answers

Answer:

the answer is

Step-by-step explanation:

The simple interest is calculated only on the principal amount of a loan so it is relatively easier to calculate than the compound interest. The compound interest is calculated on the principle amount plus the interest that the amount gets per compounding period up to the period of the loan.

I need help with my math

Answers

Answer:

x^7

Step-by-step explanation:

Answer:

(x)(x)(x) . (x)(x)(x)(x)

Step-by-step explanation:

That's the answer. Hope it helps:)

It is 9 kilometers from Charlie's house to the nearest mailbox. How far is it in meters?
Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:

9,000 meters

Which is the slope of the line that passes through the points (2,10) and (5,8)?

Answers

Answer:

Slope = (Y2 - Y1) / (X2 -X1)

Slope = (8 -10) / (5 -2)

Slope = -2 / 3

Slope : -2/3

————————

Someone, please help me with this. I will give Brainliest

Answers

Explanation:

What we need to do here is to take the ratio of the distances of the planets to determine how much farther Neptune is from the sun compared to Mercury:

[tex]\dfrac{D_N}{D_M} = \dfrac{4.503×10^9\:\text{km}}{5.791×10^7\:\text{km}} = 7.776×10^1[/tex]

This means that Neptune is 77.76 times farther from the sun than Mercury is.

During a snowstorm, Noah tracked the amount of snow on the ground. When the
storm began, there was 1 inch of snow on the ground. For the first 4 hours of the
storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 2
hours and then started again at a constant rate of 2 inches per hour for the next 6
hours. Make a graph showing the inches of snow on the ground over time using the data that Noah created
data that Noah collected.
Click twice to plot a segment.
Click a segment to delete it.
25
24
23
22
ow on the Ground (Inches)
20
19
18
17
16
15
14
13
12
9

Answers

Answer:

ss the question

Step-by-step explanation:

Which equation has no solution?
A)
2x=5
B)
X + 12 = 3x - 2
C)
3x + 4 = 3x + 3
D)
- 2x + 5 = -2x + 5

Answers

Answer: Choice C

If you subtract 3x from both sides of that equation, you'll go from

3x+4 = 3x+3

to

4 = 3

which is a false statement. No matter what you plug in for x, the original equation is always false as well. This is why it has no solutions.

Find the product of 4v22 and 4v4 in simplest form. Also, determine whether the result is rational or irrational and explain your answer. Result: V The result is because it integers and its decimal expansion be written as the ratio of two terminate or repeat.​

Answers

Answer:

32[tex]\sqrt{22}[/tex]

irrational

cannot be written as a ratio

does not repeat or terminate

Step-by-step explanation:

[tex]\sqrt{4}[/tex] = 2

4[tex]\sqrt{22}[/tex] · 4(2)  =  4[tex]\sqrt{22}[/tex] · 8  =   32[tex]\sqrt{22}[/tex]

There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen

Answers

Answer:

45

Step-by-step explanation:

This is a combination question: how many ways can you pick 2 people from a group of 10?

Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...

[tex]C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45[/tex]

A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1100 feet, what are the dimensions of the field?

Answers

Answer:

Length = 500, Width = 50

Step-by-step explanation:

EQUATION:

2(10x) + 2x = 1100

20x + 2x = 1100

22x = 1100

x=50

3.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = 6x2 + x − 12

A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

B. linear function; linear term: 6x2; constant term: −12

C. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12

D. linear function; linear term: x; constant term: −12

Answers

Answer:

A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

Step-by-step explanation:

We have been given the equation

The degree of the given polynomial is 2.

Hence, the function is quadratic.

The term with exponent 2 on x is called the quadratic term. The term with exponent  1 on x is called linear and the term without any variable is a constant term.

Therefore, we have

Quadratic term= 6x^2

Linear term= x

Constant term= -12

9514 1404 393

Answer:

  A. quadratic function; quadratic term: 6x²; linear term: x; constant term: −12

Step-by-step explanation:

The squared term (6x^2) is also called the "quadratic" term. The term with x to the first power (no exponent) is the "linear" term. The term with no variable at all is the "constant" term.

It should be no mystery that the quadratic term is 6x^2; the linear term is x; and the constant term is -12.

_____

Additional comment

As with much of algebra, this is about vocabulary and pattern recognition.

Find the slope of the line that goes through the points (4,-3) and (5,0)

Answers

Answer:

the slope of the points (4,-3) and (5,0) is 3

Step-by-step explanation: I used the formula y2-y1 over x2-x1 will give you the answer hope this helped!

Answer:

[tex]\boxed {\boxed {\sf m=3}}[/tex]

Step-by-step explanation:

We are asked to find the slope of the line that passes through (4, -3) and (5,0).

The slope is the number that tells us the steepness and direction of a line. It is the rise over run, or the change in y over the change in x.

[tex]m= \frac{ \Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]

In the slope formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. The points we are given are (4, -3) and (5,0). If we match the value with its corresponding value, we see that:

x₁ = 4 y₁ = -3x₂ = 5 y₂ = 0

Substitute the values into the formula.

[tex]m= \frac{0 - -3}{5-4}[/tex]

Solve the numerator. Remember that 2 back to back subtraction signs become an addition sign.

0--3 = 0+3=3

[tex]m= \frac{3}{5-4}[/tex]

Solve the denominator.

5-4 =1  

[tex]m= \frac{3}{1}[/tex]

Divide.

[tex]m=3[/tex]

The slope of the line is 3.

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