The original selling price of a share stock was d dollars. The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d). Which descriptions could explain what happened to the price of the share stock?

Answer:

Sales = 20

Step-by-step explanation:

Simply make the equation "1300 = 65s" to solve the problem

1300 = 65s

Divide both sides by 65.

1300/65 = 65s/65

Divide 1300 by 65 to get 20.

20=s

Swap sides so that all variable terms are on the left-hand side.

s=20

Answer:

do your own work don't ask any question

The function that will define the situation is y = 10x

The domain:  {0, ∞)

The range: {0, ∞)

The function that will define the situation is a linear function of the form

y = mx + c

definition of variable to suit the problem

y = output variable

m = slope

x = input variable

c = y intercept

The equation as described in the problem is represented using linear function as as follows

c = there is no condition defined here hence = 0

m = cost of per hour = $2.50

x = time in hours

y =  amount paid in hours

y = 10x

The domain in this case is time from 0 to infinity {0, ∞)

The range is also {0, ∞)

there are no limitations to hep set the range and domain

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According to the following graph, y = -3 makes the horizontal line on graph.

The term graph in math is known as a pictorial representation or a diagram that represents data or values in an organized manner and the points on the graph often represent the relationship between two or more things.

Here we have given the expression y = -3.

Now, we have to plot these on the graph, then we get the graph like the following.

While looking into the given graph, we have identified that y = -3 is a horizontal line, and that passes through y-axis, here at a distance of 3 units on the bottom of the origin and is parallel to x-axis.

Therefore, the expression y = -3 makes the horizontal line which crosses the y -axis at (0,−3).

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The Binomial Expression is defined as the type of algebraic expression that consists of exactly two terms .

What is Binomial Expression ?

The algebraic expression which contains exactly only two terms is termed as  binomial expression . It is called a two term polynomial.

the binomial is also called a sum or a difference between two or more monomials. Binomial is the simplest form of a polynomial.

Some Examples of Binomial Expression are ⇒ [tex]4x^{2} +6y^{2}[/tex] , [tex]xy^{3} +xy[/tex] ;

Various Mathematical Operations can be performed on Binomial Expression such as Addition , Subtraction , Multiplication and Division .

and The  Equation that contains one or more binomial expression is called as a Binomial Equation.

The given question is incomplete , the complete question is

What is a Binomial Expression ?

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Answer:

10 mm

Step-by-step explanation:

Draw an equilateral triangle. Label each side 12 mm.

Draw one altitude from one vertex perpendicular to the opposite side. Label the length of the altitude h.

The altitude divided the opposite side into two congruent segments, each one measuring 6 mm.

Now use the Pythagorean Theorem.

a² + b² = c²

(6 mm)² + h² = (12 mm)²

36 mm² + h² = 144 mm²

h² = 144 mm² - 36 mm²

h² = 108 mm²

h = 6√3 mm

h ≈ 10 mm

Answer: 3.5 cm or 35 mm

Step-by-step explanation:

12/3 =4 for each side of triangle

cutting the triangle in half, bottom side(a) 4 becomes 2

2^2 + b^2 = 4^2

4 + b^2 = 16

subtract 4 from both sides

b^2 = 12

b = 3.464 cm or 3.5 cm

convert 3.5 cm to 35 mm

The graph of the given equation y=2x+1 is attached below.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, when the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The equation y=2x+1 gives the following information:

The slope is 2

The line intercepts is 1 on the y axis

First, we would put a point or a dot on (0,1) on the y axis. Then start making 2 points above and below my original point. IT would do this by using the slope 2/1.

By using my slope we know that (1,3) and (-1,-1).

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Answer: (m-12)

Step-by-step explanation:

(m-12)divided by 44=32

The number of pores that are on the top of your foot is approximately 13,000 pores on the top of your foot.

To find the number of pores on the top of your foot, we can multiply the area of the top of your foot in square inches by the number of pores per square inch.

The area of the top of your foot is 2.0 x 10^1 in^2 and each square inch of your body has about 6.5 x 10^2 pores. So, the number of pores on the top of your foot can be calculated as:

2.0 x 10^1 in^2 * 6.5 x 10^2 pores/in^2 = 130 x 10^2 pores = 13000 pores

So, there are approximately 13,000 pores on the top of your foot.

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Onr of the main differences between a 401(k) and a Roth 401(k): Contributions are taxed differently.

The correct answer is an option (C)

The difference between a 401(k) and a Roth 401(k) is that 401(k) is the income taxes on distribution whereas the Roth 401(k) is the income taxes on contribution.

Roth 401(k) is funded with after-tax money.

You can withdraw after-tax money once you reach retirement age.

A traditional 401(k) allows you to make contributions before taxes.

But in traditional 401(k) you have to pay income tax on the distributions in retirement.

Therefore, the main difference is:  the income taxes on your contributions.

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The term that have the greatest value is

The knowledge of negative and positive number is necessary here.

numbers less than zero are negative while numbers greeter than zero are positive

Negative terms in an odd exponent remains negative hence less than zero in even exponent the negative changes to positive and becomes greater than zero

For the expression aₙ = (-1)ⁿ⁺¹(5)ⁿ the teem that determines whether the expression is greater that zero is  (-1)ⁿ⁺¹. therefore

n + 1 must be even

n must be odd for n + 1 to be even hence the greatest number here is aₙ₊₁₅ a(n+15)

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Answer:

4y / x-y

Step-by-step explanation:

First change 1 to y/y. This allows us to rewrite the first term as a single fraction.

We can also factor the denominator of the second term.

x^2 - y^2 factors into (x - y)(x + y)

The y cancels and also the term x+y cancels. See image.

Answer:

22 by 26

Step-by-step explanation:

10+10+14+14=48 (the perimeter)

48×2=96

10+12=22

14+12=26

22+22+26+26=96

Jeremiah average velocity during the drive was 80 km/h while the instantaneous velocity at one point was 105 km/h

An equation is used to show the relationship between numbers and variables.

Average velocity is the ratio of total distance travelled to total time taken. Instantaneous velocity is the velocity at a particular point in time.

Jeremiah completed a straight, 120 km drive in 1.5 hours, hence:

Average velocity = total distance / total time

Average velocity = 120 km / 1.5 hours = 80 km/h

At one point during the drive, he saw that his speedometer read 105 km/h, hence:

Instantaneous velocity = 105 km/h

The average velocity is 80 km/h while the instantaneous velocity is 105 km/h

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The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

given

area of equilateral triangle = [tex]9\sqrt{3}cm^{2}[/tex]

formula of area of equilateral triangle = [tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex]

a = side of triangle

[tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex]  =  [tex]9\sqrt{3}cm^{2}[/tex]

[tex]a^{2} = \frac{4* 9\sqrt{3} }{\sqrt{3} }[/tex]

[tex]a^{2} = 36\\ a = 6 cm[/tex]

since equilateral triangle all sides are equal

perimeter of triangle = 6 + 6 + 6

= 18cm

the semi perimeter of the triangle = 18 /2 = 9 cm

The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.

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Answer:

Step-by-step explanation:

The value of x is 9.32 after solving using the Pythagoras theorem.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

The diagram has 4 corners namely - A, B, C and D.

Draw a perpendicular through B.

The intersecting point at line AD is named as E.

It can be seen in figure that EDCB is a rectangle and falls under the category of parallelogram.

So, angle ADC = angle DEB = angle AEB = 90° .

Now, side BC = ED = 5.

So, side AE = 18 - 5 = 13.

Here, it can be seen that triangle ABE is a right-angled triangle.

So, to get the measurement of side BE, apply the Pythagoras theorem -

c^2 = a^2 + b^2

Where, a is perpendicular, b is base and c is hypotenuse.

So, according to the diagram -

(16)^2 = (13)^2 - (BE)^2

(BE)^2 = (16)^2 - (13)^2

(BE)^2 = 256 - 169

(BE)^2 = [tex]\sqrt{87}[/tex]

(BE)^2 = 9.32

Now, as  EDCB is a rectangle so, side BE = side CD.

Therefore, the value for side CD = x = 9.32.

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The y intercepts of the quadratic equation y = x² - 5x + 6 is given by (0 , 6)

and the x intercepts are ( 3 , 0 ) and ( 2, 0 )

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

y = x² - 5x + 6   be equation (1)

On simplifying the equation , we get

y = x² - 2x - 3x + 6

Taking the common factors of the equation , we get

y = x ( x - 2 ) - 3 ( x - 2 )

On factorizing the equation , we get

y = ( x - 3 ) ( x - 2 )

To find the y intercepts , substitute the value of x = 0 , we get

y = ( 0 - 3 ) ( 0 - 2 )

y = ( -3 ) ( -2 )

So , y = 6

Hence , the y intercepts of the equation is  ( 0 , 6 )

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Therefore , the solution of the given problem of standard deviation comes out to be 67.15=σx .

It tells about how  dispersed the data is is indicated by the standard deviation. It expresses the deviation of each observed variable from the mean. Any distribution will have roughly 95% of its values within two standard deviations of the mean.

Here,

We know population SD= Σ(xi-mu)2/n where mu is the population mean and n is the number of observation.

Here

we have n=7 and mu can be taken as x- =310.142

Standard deviation = SD=Σ(xi-mu)2/n

=>(Σxi2/n)-x-2

=>(704883/7)-(310.14)2=67.15=σx

Therefore , the solution of the given problem of standard deviation comes out to be 67.15=σx .

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The explicit formula for the sequence will be an = 10 + 5n. The correct option is C.

The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.

Given series is 15,20,25,30,...,

The common difference is d = 20 - 15 = 5

First term is, 15

The formula can be written as,

an = a₁ + d(n-1)

an = 15 + 5 ( n - 1 )

an = 15 + 5n - 5

an = 10 + 5n

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Answer:

----------------------------------------

The number cube has sides 1 through 6. The probability of each number is same, 1/6.

Given events below, see how likely they are to occur:

A) rolling a 1 or a 2,

B) rolling an odd number,

C) rolling an even number,

D) rolling a a number less than 6,

E) rolling a number greater than 2,

There are no solutions for the equation 3x106 3x12.

The equation 3x106 3x12 can be rearranged to 3x106 - 3x12 = 0. This is a linear equation and can be solved using the equation ax+b=0, where a is the coefficient of the variable and b is the constant.

In this case, a = 3 and b = -3x106. To solve this equation, we can use the quadratic formula, which states that x = -b ± √b2 - 4ac / 2a.

Substituting the values for a, b, and c yields x = -(-3x106) ± √(3x106)2 - 4(3)(-3x106)/2(3). Simplifying this yields x = 3x106 ± √9x1012 - 36x1012/6.

This simplifies to x = 3x106 ± √-27x1012/6. Since the square root of a negative number is not a real number, this equation has no real solutions. Therefore, there are no solutions for the equation 3x106 3x12.

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Answer:

18 + 4√15

Step-by-step explanation:

(3√5+√3)(√5+ √3)

= 3√5 (√5+ √3) + √3 (√5+ √3)

= 3√5 √5 + 3√5 √3 + √3  (√5+ √3)

=  3√5 √5 + 3√5 √3 + √3 √5 + √3 √3

= 18 + 4√15

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The z-score is compared as Test A : 3.25; Test B : 3.5; Test B.

Here given that,

Test A

Jeanette's score 90

Mean score 64

Standard deviation 8

Test B

Jeanette's score 95

Mean score 60

Standard deviation 10

The formula =

z = x - µ / σ

By substituting,

test A : z = (90 - 64) / 8 = 26 / 8 = 3.25

test B : z = (95 - 60) / 10 = 35/10 = 3.5

So Test A : 3.25; Test B : 3.5; Test B

The data of the question is attached below:

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Z-score in test A = 3.25, Z-score in test B = 3.5. She performed better in test B.

Z-score represent the difference between a given value and standard deviation.

given, Jeanette scored 90 in the Test A

 mean score of test A = 64

standard deviation = 8

we know, the Z-score is calculated by the following formula.

Z-score = (X - μ) /σ

where, σ denotes the standard deviation.

          μ denotes the mean value

    X is the actual value

Test A has Z- score = (actual score - mean score) / standard deviation

                             = (90 -64)/8

                           Z = 3.25

In the test B, she scored 95.

actual score = X = 95

mean score in test B = 60

standard deviation in test B = 10

hence, Z-score for test B = (X - μ)/ σ

                                        = (95 -60)/ 10

       Z-score = 3.5

Therefore, Jeanette scored better in her test B.

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Answer:

Step-by-step explanation:

put (0, 125) in a*b^x, we get a = 125, then put (3,8) in 125*b^x, we get 125*b^3=8

b^3=8/125

b=2/5

then the answer is 125*(2/5)^x

On solving the provided question, we can say that - 11g +4= 3r-6 the value of this equation is -10/3

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

11g +4= 3r-6

g = 0

3r = -10

r = -10/3

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An initial investment of $580, earning 3% annually-compounded interest, will take 18.429 years (investment period) to reach $1,000.

The period for the investment to accumulate to $1,000 at 3% compounded interest is computed using an online finance calculator.

The parameters required include identifying the interest rate, compounding period, present investment, and future value., from the given formula:

A = 580(1.03)^t

$1,000 = 580(1.03)^18.429

I/Y (Interest per year) = 3%

PV (Present Value) = $580

PMT (Periodic Payment) = $0

FV (Future Value) = $-1000

Results:

N = 18.429

= 18 years and 5 months

Total Interest = $420

Thus, for the account to reach $1,000, it will take 18 years and 5 months.

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A = 580(1.03)^t

The percentage of beads on clearance are plastic is 50%.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Total number of beads = 18

Number of beads which are plastic on clearance = 9

Percentage of beads which are plastic on clearance = (9 / 18) × 100

                                                                                        = (1/2) × 100

                                                                                        = 0.5 × 100

                                                                                        = 50%

Hence 50% of beads on clearance are plastic.

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The scale model door of 2.4 inches is 9.3 ft tall in the actual building.

By scaling, we can create a drawing of an object that corresponds to the object's true size. In geometry, scaling refers to either growing or reducing figures in order to preserve their fundamental shape.

By multiplying the numerator of one fraction by the denominator of another and the first term's denominator by the numerator of another, we can do cross multiplication.

Given that:

16 inches = 62 ft

2.4 inches = x ft

To calculate the actual value cross multiply the values:

[tex]x= \frac{(62)(2.4)}{16} \\\\x= 9.3 ft[/tex]

Hence, the actual door is 9.3 ft tall.

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