1.5(x-5)=1 solve for x

The expression of the current value of the stock is 1.5252x

From the question, we have the following parameters that can be used in our computation:

Initial value = x

Year 1 = Increase by 23%

Year 2 = Increase by 24%

The current value of the stock is then calculated as

Current value = Initial value * (1 + Year 1) * (1 + Year 2)

Substitute the known values in the above equation, so, we have the following representation

Current value = x *(1 + 23%) * (1 + 24%)

So, we have

Current value = x *1.5252

Lastly, we have

Current value = 1.5252x

Hence, the expression is 1.5252x

Read more about expression at

https://brainly.com/question/4344214

#SPJ1

The ratio of the number of astronauts on Earth to the total number of astronauts is 7 : 30.

A ratio is a mathematical expression that compares two or more values by dividing the size of one value by the size of another.

Ratios can be expressed in several different forms, including fractions, decimals, or percentages, and can be used to compare quantities, measurements, or other values in a meaningful way.

Ratios provide a way to express the relationship between two or more values in a compact and concise format, and can be used in a variety of fields, including mathematics, science, finance, and engineering.

If the space program has 23 astronauts in outer space and 7 astronauts on Earth, then the ratio of the number of astronauts on Earth to the total number of astronauts is:

7 : (23 + 7) = 7 : 30

You can simplify the ratio to 7/30 or approximately 0.23 or 23%.

Learn more about ratio here: brainly.com/question/2328454

#SPJ4

Answer:

Time of loan in years = 3.167 = 3.2 years rounded to 1 decimal

Step-by-step explanation:

The question is only asking for the number of years, not the accrued principal. This should be straightforward:

38 months = 38/12 years = 3.166.... = 3.2 years rounded to 1 decimal point

Here are the accrued amount and interest computations in case you need them:

14% interest annually = 0.14 decimal

Since it is compounded daily we have to divide by 365, the number of days in a year

Also the time period will now be 365 x number of years = 365 x 3.2 = 1168 since it is being compounded daily

At 14% compounded daily, the accrued amount will be

\(A = \left( 1 + \dfrac{0.14}{365}\right)^{(365)( 3.2)} = \$4,695.13\\\\\mathrm{Interest } = \$4,695.13 - \$3000 = \$1,695.13\)

Answer:

1. 8

2. 6

3. 7

4.-8

Step-by-step explanation:

Answer:

6 thousand 438 divided by 6 equals 1 thousand 73

953 divided by 7 equals 136 R 1

Step-by-step explanation:

Calculation for the equations that are correct

The equations that are correct are:

6 thousand 438 divided by 6 equals 1 thousand 73 which is written as 6,438/6=1073 will be calculated using this formula

Numerator/Denominator

Where,

Numerator=6,438

Denominator=6

Let plug in the formula

6,438/6

=1,083

953 divided by 7 equals 136 R 1 which is written as 953/7= 136.1 is calculated using this formula

Numerator/Denominator

Where,

Numerator=953

Denominator=7

Let plug in the formula

953/7

=136.1

Therefore the equations that are correct are :

6 thousand 438 divided by 6 equals 1 thousand 73 and 953 divided by 7 equals 136 R 1

Answer:

-7

Step-by-step explanation:

You get to each number by subtracting 7 each time

Answer:

Step-by-step explanation:

State promise

The two rocks share the option C. State.

Physical properties are properties of a substance which does not involve any chemical composition or changes in the substance.

Examples are color, density, hardness, and so on.

Given are two rocks.

Clearly, from the picture, we can say that shininess is different. The first rock is more shining.

Clearly colors are also not same.

Regarding the state of both rocks, both rocks are solid. So they share the property of state.

Texture is also different for both. Second one is harder texture.

Hence the physical property that both rocks share is state.

To learn more about Physical Properties, click on the link :

https://brainly.com/question/18327661

#SPJ5

Answer:

Step-by-step explanation:

1200x6%(.06)=72

72x4=288

1200+288=1488

1200+72=1272+72=1344+72=1416+72=1488

The surface with the given vector equation, r(s, t) = (s cos(t), s sin(t), s), is a circular cone.

The vector equation r(s, t) = (s cos(t), s sin(t), s) represents a surface in three-dimensional space. Let's analyze the equation to determine the nature of the surface.

In the equation, we have three components: s, cos(t), and sin(t). The presence of s indicates that the surface expands or contracts radially from a central point. The trigonometric functions cos(t) and sin(t) determine the angle at which the surface extends in the x and y directions.

By observing the equation closely, we can see that as s increases, the radius of the surface expands uniformly in all directions, while the height remains constant. This behavior is characteristic of a circular cone. The circular base of the cone is defined by s cos(t) and s sin(t), and the vertical component is determined by s.

Therefore, the surface described by the vector equation r(s, t) = (s cos(t), s sin(t), s) is a circular cone.

Learn more about  vector equation here :

https://brainly.com/question/32619742

#SPJ11

Hello !

you multiply by (-3) each time

3 + (-9) + 27 + (-81) + 243

3 * -3 = -9

-9 * -3 = 27

27 * -3 = -81

-81 * -3 = 243

The answer is 243.

Answer:

10 hours to do it

Step-by-step explanation:

8-6= 2

8+2=10

The cheapest price for ten (10) rolls would be = £25.50. That is option B.

The wallpapers are those designed paper materials that are used in decoration of a room.

The total number of wall paper that Salima needs to buy= 10 rolls.

A single roll of wallpaper = £9.20

A pack of 3 rolls= £25:50

That is 1 roll = X

make X the subject of formula;

£x = 25.50/3

£x = £8.5

A pack of 5 rolls = £43.05

That is 1 roll = X

make X the subject of formula;

£x = 43.05/3

£x = 14.35

Therefore, the cheapest price that can be used to buy 10 rolls would be = £25.50 because one roll would be = £8.5.

Learn more about price rate here:

https://brainly.com/question/26376004

#SPJ1

Answer:

Pack of 3 rolls (total of £85.70

Step-by-step explanation:

25.5+25.5+25.5+9.20= £85.70

Answer:

91 cubes

Step-by-step explanation:

518 cubes are needed to fill the right rectangular prism without gaps or overlaps.

"It is a prism whose all faces are rectangles."

The volume of a rectangular prism with length l, width w and height h is,

V = l × w × h

The volume of a cube having side length 'a' is given by,

\(V=a^3\)

For given example,

The dimensions of a right rectangular prism are:

length : \(l=2\frac{1}{6}\)

⇒ \(l=2.17\) in.

width: \(w=1\frac{1}{6}\)

⇒ \(w= 1.17\) in.

height : h = 1 in.

So, the volume of a right rectangular prism would be,

⇒ V = l × w × h

⇒ V = 2.17 × 1.17 × 1

⇒ V = 2.5389 cu. in .

Now, the side lengths of a cube : \(a=\frac{1}{6}\)

⇒ \(a=0.17\)

So, the volume of a cube would be,

⇒ \(V=a^3\)

⇒ V = (0.17)^3

⇒ V = 0.0049

Let, 'n' cubes are needed to fill the right rectangular prism without gaps or overlaps.

volume of a right rectangular prism = n × volume of a cube

⇒ 2.5389 = n × 0.0049

⇒ 2.5389/0.0049 = n

⇒ n = 518.14

⇒ n ≈ 518

Therefore, 518 cubes are needed to fill the right rectangular prism without gaps or overlaps

Learn more about right rectangular prism here:

https://brainly.com/question/3248292

#SPJ2

Answer: Each student would get 7/16 quarts of orange juice and 1 5/8 cups of cereal.

Step-by-step explanation:

Divide each by 4 because there are 4 students.

Answer:

y = -1/2x + 5/2.

Step-by-step explanation:

If a line is perpendicular to another line, the slope of the line is the negative reciprocal of the other. In this case, the line is perpendicular to y = 2x + 3. That means the slope will be -1/2.

Now, we have y = -1/2x + c.

To solve for c, put in the points given.

2 = (-1/2) * 1 + c

c -1/2 = 2

c = 2 + 1/2

c = 4/2 + 1/2

c = 5/2

So, your final answer is that the equation of the line is y = -1/2x + 5/2.

Hope this helps!

Answer:

\(y = -\frac{1}{2} x+\frac{5}{2}\)

Step-by-step explanation:

Perpendicular => So, it would have a slope of negative reciprocal for this slope

Slope = m = -1/2

Now,

Point = (x,y) = (1,2)

So, x = 1, y = 2

Putting in the slope intercept equation to get c

=> \(y = mx+c\)

=> 2 = (-1/2)(1) + c

=> 2+1/2 = c

=> c = \(\frac{4+1}{2}\)

=> c = \(\frac{5}{2}\)

Now, Putting m and c in the slope-intercept equation:

=> \(y = mx+c\)

=> \(y = -\frac{1}{2} x+\frac{5}{2}\)

Answer:

Step-by-step explanation:

4a + c = 55

3a + 2c = 50

Use -2 for top equation

-8a - 2c = -110

 3a + 2c = 50

-5a = -60

a = $12 each adult

4(12) + c = 55

48 + c = 55

c = $7 each child

(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial function f(x) = x³ - x² - 17x -15.

If (x - 5) is it's factor then f(5) = 0.

∴ f(x) = x³ - x² - 17x -15.

f(5) = 5³ - 5² - 17(5) - 15.

f(5) = 125 - 25 - 85 - 15.

f(5) = 0.

So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.

learn more about factor of a polynomial here :

https://brainly.com/question/26354419

#SPJ1

Answer:

-2

Step-by-step explanation:

So to find slope you just subtract y^1 - y^2 and divide it by x^1 - x^2

The first point is (2, 1)

The second is (0, 5)

1 is our y^1 and 5 is our y^2

1 - 5 = -4

2 is our x^1 and 0 is our x^2

2 - 0 = 2

So our slope is -4/2, reduced its -2

I hope this helped, please mark Brainliest, thank you!

The volume of the regular Hexagonal pyramid with a height of 24 and a side length of 6 is 144√3 cubic units.

The volume of a regular hexagonal pyramid, we can use the formula:

Volume = (1/3) * Base Area * Height

First, let's find the base area of the regular hexagon. A regular hexagon is a polygon with six equal sides and six equal angles. The formula to calculate the area of a regular hexagon is:

Area = (3 * √3 * s^2) / 2

Where s is the length of a side of the hexagon.

In our case, the length of a side of the base is given as 6. Plugging this value into the formula, we get:

Area = (3 * √3 * 6^2) / 2

    = (3 * √3 * 36) / 2

    = (3 * 6 * √3)

    = 18√3

Now, we can substitute the values into the volume formula:

Volume = (1/3) * Base Area * Height

      = (1/3) * (18√3) * 24

      = 6√3 * 24

      = 144√3

So, the volume of the regular hexagonal pyramid with a height of 24 and a side length of 6 is 144√3 cubic units.

To know more about  Hexagonal pyramid.

https://brainly.com/question/23717172

#SPJ11

Answer: 5

Step-by-step explanation:

5x15,000=75,000

245,000-75,000=170,000

170,000\32,000=5.3125

She's able to hire 5 part-time employees

Answer:

15 units^2

Step-by-step explanation:

Formula for area:

length × width or l × w

Count the length of BA or CD (they should equal the same):

Length (l) = 5 units

Count the width of AD or BC (they should equal the same):

Width (w) = 3 units

Plug these numbers into the formula:

5 units × 3 units

15 units^2

The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.

the correct statements from the options provided:

1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.

Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.

To know more about Matrix visit:

https://brainly.in/question/13626298

#SPJ11

Answer:

Step-by-step explanation:

Graph of the equation 20x + 10 is plotted and the total cost  for 7 days is $150

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Ace Car Rentals that charges $20 per day plus a $10 service charge to rent one of its compact cars. The total cost can be represented by the equation y = 20x + 10, where [x] is the number of days and [y] is the total cost.

The graph of the equation 20x + 10 is plotted and attached. To find the total cost of renting the car for 7 days, find the y - coordinate corresponding to x = 7 on graph. See the graph [2]. We get the total cost of $150 for 7 days.

Therefore, graph of the equation 20x + 10 is plotted and the total cost  for 7 days is $150

To solve more questions on equation modelling, visit the link below-

brainly.com/question/6593383

#SPJ2

[Refer to image 3 for complete question]

Answer:

it is C i just got a 100 on the unit test review

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

To determine the number of 9s between 1 and 100, we can consider the numbers from 1 to 99 since we want to exclude 100.

In the range from 1 to 99, we can observe the following patterns:

There is one 9 in each of the units' places (9, 19, 29, ..., 89, 99), giving us 10 occurrences.

There is one 9 in each of the tens' places (90, 91, 92, ..., 99), giving us 10 occurrences.

Therefore, there are a total of 10 + 10 = 20 occurrences of the digit 9 between 1 and 100.

Answer:

17.75

Step-by-step explanation:

43.5 divided by 2 is 21.75

21.75 minus 4 equals 17.75

You're basically just using reverse operations to get back to the original number.

Step-by-step explanation:

A o option

-(-45)

hope it helps