What is the relationship between 7.0/10^2 and 7.0/10^3

The investment firm's total profit is $ 3360 and the percent profit for their total investment is 16.8%.

How to calculate percentage of a situation?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it. There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.
Formula for percentages: (Value/Total value) * 100

Given, amount invested in company A = $ 12,000
Amount invested in company B = $ 8000
Profit earned by company A = 14%
Profit earned by company B = 21%
Amount in profit earned from company A = (12000*14)/100 = $ 1680
Amount in profit earned from company B = (8000*21)/100 = $ 1680
Therefore total profit of the investment firm = $ (1680 + 1680) = $ 3360
Thus, the investment firm's total profit is $ 3360.
Now, percentage profit of total investment = (3360/20000)*100 = 16.8%, using available literature and formula.
Thus, the percent profit for their total investment is 16.8%

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Answer:

700 ml of Solution B was used

Step-by-step explanation:

Whenever we have unknowns the first thing to do is to represent the unknowns using variables, set up equations using given information and solve equations for the unknowns

Here the unknowns are volume of solution A and volume of solution B

Set up our variables as follows

Let x = volume of solution A used for mixing in ml

Let y = volume of solution B used for mixing in ml

We are given that volume of A used is 400 ml less than volume of B used

In math terms this can be represented as
y - x = 400

Or,

- x + y = 400       [1]

We are given the percentages of alcohol in A and B respectively
Since A contains 12% alcohol, the actual volume of alcohol in A
= 12% of  x ml

= 0.12x               (12% = 12/100 = 0.12)

Similarly alcohol by volume in B
= 0.20x

Total alcohol by volume if x of A and y of B are mixed is
0.12x + 0.20y

and we are given that this quantity is 176 ml

So we set up our second equation as
0.12x + 0.20y = 176      [2]

Using both equations we eliminate either the x or y terms to arrive at an equation involving only the other term.

Since the question asks us to determine only the volume of Solution B used, we should eliminate x term from both equations to get a single equation involving only the y term

Let's review the equations:
- x + y = 400    [1]

0.12x + 0.20y = 176  [2]

Make the coefficients of x the same :
Multiply [1] by 0.12

=> -0.12x + 0.12y = = 0.12 x 400
=> 0.12x + 0.12y = 48  [3]

Add [2] and [3] to eliminate the x term

     0.12x + 0.20y   =  176
+
     -0.12x + 0.12y    =   48

-----------------------------------------
          0x    + 0.32 y =  224

=> 0,32y = 224

Divide both sides by 0.32
==> 0.32y/0.32 = 224/0.32

==> y = 700

So 700 ml of Solution B was used

If we wanted to find volume of solution A used, subtract 400 from 700 to get 300 ml of A

Answer:

See below

Step-by-step explanation:

1. Multiply m to get, m(s + z)/2 => (ms + mz)/2

2. Mutiply by 2 by both sides

2B = MS + MZ

3. Divide By M

2B = M(S+Z)

2B/M = S+Z

4. Minus Z

(2B/M  - Z) = S

The total cost of a CD player is $58.52

Answer: [tex]9x^8 6^{9x/2}+\ln(6^{4.5}) \cdot 6^{4.5x}[/tex]

Step-by-step explanation:

[tex]w=\sqrt{(x^2 6^x)^9}=(x^2 6^x)^{9/2}=x^9 6^{9x/2}\\\\[/tex]

Using the product rule,

[tex]\frac{dw}{dx}=6^{9x/2}\frac{d}{dx} (x^9)+x^9 \frac{d}{dx}(6^{9x/2})\\\\=9x^8 6^{9x/2}+\ln(6^{4.5}) \cdot 6^{4.5x}[/tex]

In order to find the minimum distance, first let's write a map with all positions and distances:

Now, let's write the total distance for the paths she can choose:

Therefore the minimum distance is 26 miles.

Given an exponential function

Therefore,

10 is the coefficient and 1/5 is the base

Recall that the product between two rational numbers is always a rational number, and the product between an irrational number and a rational number different from zero is always an irrational number.

Also, recall that a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.

Now, notice that:

Therefore, 0.79, 0.383838..., 0.12 are rational numbers.

Now, recall that:

is an irrational number.

Therefore, the product between 0.79 and √7 is an irrational number.

Answer: Option A.

The equation is 6.75x = 5.875y

The price will be the same for 47 Go Golf games and 54 Golf Games

Go Golf charges for the ball and club rental = $2.50

Go Golf charges per game = $4.25

Total charges for Go Golf for one game = $6.75

Golf Games charges for the ball and club rental = $3.25

Golf Games charges for two games = $8.50

Total charges for Golf Game for two games = $11.75

Per game charges = $11.75/2 = $5.875

Let x be the number of games for Go Golf and y be the number of games for Golf Games

Formulating the equation we get:

6.75x = 5.875y

Converting into fractions we get:

675/100x = 5875/1000y

27/4x = 47/8y

After cross multiplication

x/y = 57/48

x = 57 and y = 48

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Triangle is a right triangle because has a 90° angle

then we can use trigonometric ratios to find sides

if I use sine

whre alpha is the reference angle, O the opposite side to the angle and h the hypotenuse of the triangle

using 60° as reference angle

then solve for x

the value of side x is 6 units

If I use cosine

where alpha is the reference angle, a the adjacent side to the references angle and H the hypotenyse of the triangle

using 60° as reference angle

then solve for y

the value of side x is 2root3 units

is one

the Answer:

Step-by-step explanation:

1

Expression given:

To know how to graph the given expression, it is easier if we determine what it means in words. In this case, this expression means all the values above one (without including one).

We know that one is not included as it has the sing ">", if the value were included, then it would have the sing "≥" or "≤".

This is important because when you are graphing, a discontinuous line is drawn for values not included, and a continuous one for included values.

Now, we would have to evaluate if it is the independent variable (generally called x), or the dependent variable (generally called y).

Assuming that g is the dependent variable, then the graph would be like this:

However, if the variable was de independent variable, then it would look like this:

We have to note that both graphs go from 1 to bigger values.

LM = 23; MN = 20 ; QR = 34 ; Perimeter of LMN is 60

Here, we want to find the measures

From what we have, triangle LMN is formed by joining the midpoints of the triangle PQR

From the midpoint theorem, the sides of PQR are parallel and exactly half the measure of the sides they face

For example, LM is half PR

a) LM

b) MN

c) QR

Here, QR will be twice the measure of LN

d) To find the perimeter of LMN, we have to add up the measure of the side lengths

We have this as;

Given:

Angle A = 120 degrees

Side opposite angle C = 150 meters

Side opposite angle B = 275 meters

Find:

Angle B

Solution:

Since we have two sides given and an included angle, we can use cosine law.

Let's look for the length of the side opposite Angle A first.

where a = length of the side opposite Angle A or side BC

b = side opposite Angle B or Side AC

c = side opposite Angle C or Side AB

A = Angle A

Since we already have the data above, let's plug it in to the formula we have.

Then, solve a.

Hence, the length of side opposite a or Side BC is approximately 373.33 meters.

Now, to solve for Angle B, we can use the sine law.

Let's plug in the value of Angle A, side BC or a, and side AC or b to the formula.

Then, solve for Angle B.

Therefore, the bearing of ship C from ship B is approximately 40 degrees. (rounded off to the nearest degree)

The number is 6.

What is a number?

A number is a mathematical entity that may be used to count, measure, and name things. The natural numbers 1, 2, 3, 4, and so on are the original instances. Number words can be used to represent numbers in language. Individual numbers can be represented more generically by symbols known as numerals; for example, "5" is a numeral that represents the number five. Because only a small number of symbols can be memorized, fundamental numerals are often structured in a numeral system, which is a systematic method of representing any number. The most prevalent numeral system is the Hindu-Arabic numeral system, which allows any number to be represented using a combination of 10 fundamental numeric symbols known as digits.

Let the number be n.

Then according to que, n + (5+n) = 17

or, 2n = 17 - 5

or, n = 12/2 = 6

Hence the number is 6.

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Let's define,

X := Total minutes it takes to fill the plane (with fuel)

Then,

Solving it for X, we get

This means that the vehicle takes 1 h 2 min to fill the plane. If the fuelling finished at 10:35, it began at

9:33.

Answer:

there is no solution because there aren't any nubmer of X to get linear equation

3X-3X= 12-7

0=5

there aren't solutions so it will be 0

Mix of paintings to obtain 20 cups of paint

there are 3X cups of yellow

there are 2Y cups of red

then find X and Y such that

3X + 2Y = 20

One possible solution is X = 2 Y= 7

2 cups yellow, and 7 cups red

The answer of the expression is 3 -4 and the sum is -1

Given,

In the figure, given a number line.

And, write an addition expression represented by number line. Then find the sum.

Now, According to the question:

To solve for an expression is:

Calculate the principle based on the number line .

We can figure out the formula .

= 3 - 4

[Moving to the right is positive and moving to the left is negative ]

To find the sum:

3 - 4 = -1

According to the figure , the end point of the movement is -1 and the answer is correct.

Hence, The answer of the expression is 3 -4 and the sum is -1

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Answer: [tex]f(x)=x^4 +3x^3 +3x^2 +x[/tex]

Step-by-step explanation:

[tex]f(x)=x(x+1)^3 \\\\=x(x^3 +3x^2 +3x+1)\\\\=x^4 +3x^3 +3x^2 +x[/tex]

The inequality for the given statement is  [tex]f-\frac{4}{7} \leq -\frac{9}{11}[/tex] .

By definition, any monotonically growing function can be applied to both sides of an inequality without destroying the relationship between the two (provided that both expressions are in the domain of that function).

The inequality for the given statement is  [tex]f-\frac{4}{7} \leq -\frac{9}{11}[/tex] .

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Answer:

the answer is D.

Let x be the number of children and let y be the number of adults.

We know that the total number of attendants was 147, then:

We also know that each child ticket cost $4 and for each adult cost $12, and the total amount collected were $1156. Then we have:

Hence we have the system:

Now we have to solve the system. To do that we solve the first equation for y:

and we plug this value into the second equation and solve for x:

Now that we have the value we can find the value of y, then:

Therefore there were 76 children and 71 adults.

Given: The following

To Determine: The number of edges

Solution:

The Euler's formula is given as

F + V = E + 2,

where F is the number of faces,

V the number of vertices, and

E the number of edges.

Substitute the given into the formula

Hence, the number of edges possessed by the polyhedron is 15

ANSWER

y = 1.5 or 3/2

EXPLANATION

We are given that:

y = 3 when x = 2

From the question, we know that y and x have a proportional relationship.

This means that y and x change at the same rate:

=> y = kx

where k = constant of proportionality

y is 3 when x is 2:

3 = k * 2

=> k = 3/2 = 1.5

Therefore, when x = 1:

y = 1.5 * 1

y = 1.5 or 3/2

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

polynomials

Step 02:

applications of polynomials:

The polynomials can be represented graphically, and are used in many economics and engineering problems. In economics they appear, for example, to model markets, showing how prices vary over time; how raising or lowering the price of a product affects its sales; or also in the calculation of taxes.

In forestry engineering, for example, we need geometry to calculate areas, but also polynomials in problems such as calculating how many trees we need to replant after having cut down an area of a forest.

Other uses of polynomials are the calculation of the trajectory of projectiles (they are parabolic trajectories), or in the calculation of orbits of satellites or rockets.

That is the full solution.

Answer:

Slope = 0.25

Step-by-step explanation:

m= -3 / -12 = -1 / -4 = 0.25

distance between x's = 12

distance between y's = 3

hope this helped thank you!

As shown in the figure :

The sum of the central angles = 360

so,

Solve the equation for x :

So, the answer is : x = 81

Let n be the smallest integer of the 3, then since all the numbers have to be even numbers, the other two numbers are of the form:

Since the sum of the numbers has to be 78, we can set the following equation:

Simplifying the above equation we get:

Answer:

The equation which represents Jessica's income is 1900+50n.

Jessica's total income after selling 28 copies of History is Fun is $3300

Base salary of Jessica = $1900

The additional income per copy of History is Fun = $50

Let p represent her total pay (in dollars), and let n represent the number of copies of History is Fun she sells:

Formulating the equation we get the following:

Jessica's total pay = Base salary + Additional income per copy of History is Fun*Number of copies sold by Jessica

= 1900 + 50*n

Income, when she sells 28 copies of History, is Fun:

= 1900 + 50*28

= 1900 + 1400

= $3300

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Answer: -25

Step-by-step explanation: 8 - x = 17 ~ x=-9                         6*(-9)-22=-25