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

If
x
=
2
and
y
=
6
, evaluate the following expression:
2
(
y

x
)

Answers

Answer:

8

Step-by-step explanation:

x =2, y=6

2(y-x)

#subsitute the variables with their values

2*(6-2)

2*4

8

Alternative(don't do it this way, it's unnecessary but it can be done):

x =2, y=6

2(y-x)

2y - 2x

(2*6) - (2*2)

12 - 4

8

The second of three numbers is 5 times the first. The third number is 3 more than the second. If the second is decreased by twice the third, the result is -21. Find the Three numbers

Answers

Answer:

tag archives and records and counting the days

Answer:

1st number is 6

2nd number is 30

3rd number is 33

Step-by-step explanation:

Let x be the first number.

The second of three numbers is 5 times the first = 5x

The third number is 3 more than the second = 5x + 3

If the second is decreased by twice the third, the result is -21.

Multiply the third number by 2.

2(5x + 3)

= 10x + 6

Subtract the second number to it.

(5x)-(10x + 6) = -21

-5x - 6 = -21

Use APE or Addition Property of Equality

-5x = -21 + 6

-5x = -15

Use DPE or Division Property of Equality to get the value of x

[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]

x = 3

Now put the value of x in the equation

first number(x) = 6

second number(5x) = 5(6) = 30

third number(5x + 3)

5(6) + 3

30 + 3 = 33

Need asapppppppp!!!!!

Answers

Answer:

122 degrees-

Step-by-step explanation:

[tex]m\angle {GOC}=m\angle{GOA}+m\angle{AOC}\\=32^\circ + 90^\circ\\=122^\circ[/tex]

Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).

Angle AOC is a right angle because angle COE is a right angle.

Bronte walks 1.5 miles on a trail. Then he jogs at a speed of 5 miles per hour. Bronte's total distance walking and jogging is 5.25 miles. How long does he jog?

Answers

Answer:

3.75 hours.

Step-by-step explanation:

5.25-1.5 = 3.75

so 3.75 hour

A

Hope this helps plz hit the crown :D

Calculate the volume of a cuboid whose dimensions are 3.6cm 8.2cm 11cm

Answers

Answer:

[tex] 324.72 {cm}^{3} [/tex]

Step-by-step explanation:

Given,

Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm

As we know,

Volume of a cuboid = length × breadth × height

Therefore,

Volume of the given cuboid

= 3.6cm × 8.2cm × 11cm

(On multiplying)

[tex] = 3.6cm \: \times 90.2 {cm}^{2} [/tex]

(On further multiplying)

[tex] = 324.72 {cm}^{3} (ans)[/tex]

Hello there! :)

V=lwh (length times width times height)

We are given that:

Length=3.6 cm

Width=8.2 cm

Height=11 cm

Plug the values into the formula for volume:

V=lwh

V=(3.6)(8.2)(11)

Multiply:

V=324.72 cm³ (cubic centimeters)

Remember, volume is measured in cubic centimeters.

Hope it helps. Please let me know if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature :)[/tex]

A number n is a prime factor of 28 and 63

Answers

Answer:

7

Step-by-step explanation:

The factors of 28 and 63 are

28 : 1, 2, 4, 7, 14, 28

63 : 1, 3, 7, 9, 21, 63

The common factors are 1 and 7

7 is a prime factor of both 28 and 63

Like always, I need help :(

Answers

Answer:

The equation of the line is: x = 0

Joshua borrowed $1000 from his friend and paid him back $1050 in six months. What simple annual interest did Joshua pay his friend?

Answers

Answer:

80 dollars is the correct answer

Answer:

Step-by-step explanation:

1050=1000(1+.5*i)

i= 10%

2 2/3, 2 6/15, 2 3/5, 2 4/9 sorted from least to greatest

Answers

Answer:

2 6/15, 2 4/9, 2 3/5, 2 2/3.

Answer:

2 6/15, 2 4/9, 2 3/5, 2 2/3

Step-by-step explanation:

2 6/15 = 2 2/5

8/3, 12/5, 13/5, 22/9

120/45, 108/45, 117/45, 110/45

Simple Arcs and Sectors question attached. First person to answer correctly gets 50 points. Good Luck!!

Answers

Step-by-step explanation:

a=12/56°

b=14/65°

c=238°

Please find the correct answer I will give brainliest and 4 stars.

Answers

Answer:

you're correct

Which point represents

(

4
)
−(−4)minus, left parenthesis, minus, 4, right parenthesis on the number

Answers

Answer:

C

Step-by-step explanation:

-(-4)

so -×- becomes +

so -(-4)= 4

Answer:

No the answer is D

Step-by-step explanation:

-2

The ratio of bluebirds to robins is 3 to 2.
Express this ratio using colon symbol (:). Enter your answer in the box.
Instruction: Write your answer without any space(s).

Answers

Answer:

The answer would be 3:2, hope it helps

Given: HG I HI, EI I HI ZEHI~= ZGIH
Prove: ∆GHI =~ ∆EIH​

Answers

[tex]\red{\rule{45pt}{999999pt}}[/tex]

10% markdown of $543.20

Answers

Answer:

5.Math is a very different one that

Ok

Please help me ASAP please please

Answers

Answer:

67

Step-by-step explanation:

CB is 90 degrees, subtract that from 23 degrees, you get 67

Answer:

67 brainlest

Step-by-step explanation:


problem referred below

Answers

Answer:

?? i don't know the answer

PLEASE HELP the information is below

Answers

Answer:

yellow: x=6

red: y=4

blue: y=-2

Step-by-step explanation:

Yellow is x=6
Red is y=4
Blue is y=-2

Consider the steps to solve the equation.
2
5
(
1
2
y + 20 ) −
4
5
=
9
20
(2y − 1)

Distribute:
1
5
y + 8 −
4
5
=
9
10
y −
9
20

What is the next step after using the distributive property?
A. Use the multiplication property of equality to isolate the variable term on one side of the equation.

B. Use the multiplication property of equality to isolate the constant on one side of the equation.

C. Combine the like terms on the right side of the equation.

D. Combine the like terms on the left side of the equation.

Answers

Answer:

The answer is D

Step-by-step explanation:

D

5. A 32 foot tree casts a 60 foot shadow as shown below. A man next to the tree casts a 12 foot shadow. How tall
is the man? Justify your solution

Answers

Answer:

Step-by-step explanation:

The shadow length will be proportional to height

12 / 60 = h / 32

h = 12(32)/60 = 6.4 ft or 6 ft 4.8 inches

The ratio of flour to sugar in a recipe is 3 cups to 2 cups. If this amount makes 3 dozen
cookies, how many cups of sugar are required in order to make 24 cookies?

Answers

Answer:

10 cups

Step-by-step explanation:

The ratio of flour to sugar to make 3 dozen cookies is 3/2 then a total of 1.33 cups of sugar is required to make 24 cookies.

What is an arithmetic operation?

Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data provided in the question,

3 dozen = 12 × 3 = 36 cookies.

2 cups of sugar are required to make 36 cookies

Let x cup of sugar is required to make 24 cookies.

36 cookies = 2 cups

24 cookies = x cups

Cross-multiply both the equations above

x = (24 × 2)/36

x = 1.33 cups.

To know more about arithmetic operations:

https://brainly.com/question/13585407

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What is the length of the unknown leg in the right triangle?

Answers

Answer:

a is 20 cm long

Step-by-step explanation:

I used a triangle solver to get that length, sorry I can't actually prove it step by step

hope this helps!

What is the probability that client A, the newborn you’re considering for a 30-year policy, lives to be 30 years old? Client A is a non-Hispanic white male, so look in table 14.

Answers

Using the probability concept, it is found that there is a 0.97555 = 97.555% probability that client A lives to be 30 years old.

A probability is the number of desired outcomes divided by the number of total outcomes, that is:

[tex]p = \frac{D}{T}[/tex]

In this problem:

Out of 100,000 clients, 97,555 lives to age 30, hence [tex]D = 97555, T = 100000[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{97555}{100000} = 0.97555[/tex]

There is a 0.97555 = 97.555% probability that client A lives to be 30 years old.

A similar problem is given at https://brainly.com/question/25790531

Answer: The answer is 0.97424

Step-by-step explanation: The other answer... the math is correct, its just that they have read the source table incorrectly.

Age

29-30 = 97,555

30-31 = 97,424

The correct row is 30-31.

97,424 / 100,000 = 0.97424

You can tell this is the case because look at row 0-1.. its a 100% chance of survival. If you read that row as a '1 year old' then 100% of all people survive until they turn 1? Alas, no, this is not true :(

it has been suggested that the percentage of drivers in the us that use a blinker when changing lanes is58% you plan to observe 50 cars during a lane change. What type of distribution could you use to determine the number of cars you will observe before finding a car the does not use a blinker during a lane change?

Answers

Since the number of trials is not fixed, an inverse binomial distribution is used.

For each car, there are only two possible outcomes, either they use a blinker during lane change, or they do not. The probability of a car using a blinker during lane change is independent of any other car, which means that the number of cars that do not use a blinker during a lane change is a binomial variable.

However, we are counting the number of trials until observing a car that does not use a blinker during a lane change, hence, it is an inverse binomial variable.

A similar problem is given at https://brainly.com/question/25644451

Simplify.

81‾‾‾√

18

9

−3

−18

Answers

9514 1404 393

Answer:

  (b)  9

Step-by-step explanation:

Maybe you want to simplify ...

  [tex]\sqrt{81}=\sqrt{9^2} =\boxed{9}[/tex]


if line 1 has a slope of -4 and line 2 has a slope of 1/4, they are parallel
True
O False

Answers

Parallel lines need to have same slope
The lines have different slopes

It is false.

Yes, but on this site, how can I make sure that this answer is correct or wrong, please, I don't know?

Answers

I think you forgot to add a bit of information
If you are referring to Brainly, there is not a completely effective way to do this, however members often rate each other’s answers. If an answer has multiple five stars, or was solved by someone with a credible ranking, it is more likely to be correct.

Use a calculator to solve the following equation for θ on the interval [−π2,π2]. csc(θ)=−5 Select all correct answers.

Answers

[tex]csc(\theta )=-5\qquad -\frac{\pi }{2}<\theta <\frac{\pi }{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=-5\implies \stackrel{\textit{using the reciprocal of } csc(\theta )}{\cfrac{1}{sin(\theta )}=-5}\implies \cfrac{1}{-5}=sin(\theta ) \\\\\\ sin^{-1}\left( -\frac{1}{5} \right) = sin^{-1}[sin(\theta )]\implies sin^{-1}\left( -\frac{1}{5} \right) = \theta \implies \begin{array}{llll} -11.54^o\\ ~\hfill or\\ 348.46^o \end{array} \approx \theta[/tex]

The value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval  [−π/2,π/2].

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

cosec(θ)=−5 for interval [−π/2,π/2].

We know Sinθ=1/cosecθ

Cosecθ=1/sinθ

Now cosec(θ)=−5

-5=1/sinθ

sinθ=-1/5

θ=sin⁻¹(1/5)

θ=sin⁻¹(1/5)

θ=-11.54⁰ or 348.86⁰

Hence the value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval  [−π/2,π/2].

To learn more on trigonometry click:

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Dr. Smith can see 12 patients in 2 hours. At this rate, how long would it take him to see 96 patients?
OA. 576 hours

Answers

Step-by-step explanation:

set up a proportion

12 patients. 96 patients

---------------- = ------------------

2 hours. ?

96 • 12 = 1152

1152 ÷ 2 = 576 hours

Answer:

16hours

Step-by-step explanation:

12=2

96=x

crossmultiply

12x=192

x=192÷12

x=16

A chemist has three different acid solutions. The first acid solution contains 20 % 20% acid, the second contains 30 % 30% and the third contains 60 % 60% . They want to use all three solutions to obtain a mixture of 90 90 liters containing 35 % 35% acid, using 2 2 times as much of the 60 % 60% solution as the 30 % 30% solution. How many liters of each solution should be used

Answers

Answer:

Step-by-step explanation:

37,4gam

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