Mr Turner bought stock for $15,000. If the value of the stock decreases 4% each year when will it be worth 80% of original price?

Answer:

$15.44

Step-by-step explanation:

Answer:

about 101.22

Step-by-step explanation:

ANSWER

[tex]q = - 7p[/tex]

EXPLANATION

The constant difference of p values is

4-2=2

The constant difference of the 'q' values is

-28--14=-14

The function is of the form:

[tex]q = m(p - p_1) + q_1[/tex]

where

[tex]m = \frac{change \: in \:q }{change \: in \: p} [/tex]

[tex]m = \frac{ - 14}{2} = - 7[/tex]

We plug in the values to get;

[tex]q = - 7(p - 2) + - 14[/tex]

Expand:

[tex]q = - 7p + 14+ - 14[/tex]

Simplify:

[tex]q = - 7p[/tex]

Answer:

your answer would be 9 printers

The answer is:

There are a total of 9 black and white printers

To solve the problem, first, we need to calculate how many color printers represents two-fifths of the total printers, then, calculate the number of black and white printers using the total number of printers and the number of color printers.

Calculating how many color printers does the departament have:

[tex]ColorPrinters=TotalPrinters*\frac{2}{5} \\\\ColorPrinters=15*\frac{2}{5}\\\\ColorPrinters=\frac{30}{5}=6[/tex]

Therefore, we have that there are 6 color printers.

Now, calculating the number of black and white printers, we have:

[tex]TotalPrinters=ColorPrinters+BlackAndWhitePrinters\\\\BlackAndWhitePrinters=TotalPrinters-ColorPrinters\\\\BlackAndWhitePrinters=15printers-6printers=9printers[/tex]

Hence, we have that there are a total of 9 black and white printers.

Have a nice day!

Answer:

58 students were in each bus

Step-by-step explanation:

First, you'd have to subtract 29 from 551. This gives you 522. Then, you'd simply have to divide 522 by 9. 5 cannot go into 9 so we drag down the 2, 9 can go into 52 5 times. Then, you'll be left with 7, so you bring down the last digit, 2. 9 goes into 72 exactly 8 times.

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of "h"}}{\left( \cfrac{25}{100} \right)h}\implies 0.25h \\\\\\ \stackrel{\textit{Rob spent then}}{\stackrel{\textit{planned hours}}{h}+\stackrel{\textit{extra hours}}{0.25h}}\implies h+0.25h\implies \stackrel{\textit{common factor}}{h(1+0.25)}\implies 1.25h[/tex]

Answer:

56m

Step-by-step explanation:

First calculate the perimeter of the sheep pen.

The perimeter is all the side lengths added together.

The rectangle has two sides that are 5m long and two sides that are 9m long.

5 + 5 + 9 + 9 = 28m

Now that you know the perimeter of the sheep pen you can double it by multiplying by 2 to find tha perimeter of the cow pen.

28 * 2 = 56m

Answer:

56

Step-by-step explanation:

5×2 +9×2=28

28 × 2 =56

Answer:

Observe the attached image

Step-by-step explanation:

If we have a function f(x), the inverse of the function denoted [tex]f ^{- 1} (x)[/tex] will have as domain the range of f(x) and its rank will be the domain of the function f(x) this means that if f(x) is given by the following ordered pairs:

x: 0, 4, 9, 10; and: 3, 2, 7, -1

(0, 3) (4, 2) (9, 7) (10, -1)

Then [tex]f ^{- 1}(x)[/tex] will have the following ordered pairs

x: 3, 2, 7, -1 and: 0, 4, 9, 10

(3, 0) (2, 4) (7, 9) (-1, 10)

Observe the attached image

The blue dots are the ordered pairs of the relationship

The red open dots are the ordered pairs of the inverse of the relationship

Answer:

Final answer is [tex]=3\frac{7}{15}[/tex].

Step-by-step explanation:

[tex]4\ \frac{1}{5}-7\ \frac{2}{3}[/tex]

[tex]=\frac{4\cdot5+1}{5}-\frac{7\cdot3+2}{3}[/tex]

[tex]=\frac{20+1}{5}-\frac{21+2}{3}[/tex]

[tex]=\frac{21}{5}-\frac{23}{3}[/tex]

[tex]=\frac{21}{5}\cdot\frac{3}{3}-\frac{23}{3}\cdot\frac{5}{5}[/tex]

[tex]=\frac{63}{15}-\frac{115}{15}[/tex]

[tex]=-\frac{52}{15}[/tex]

[tex]=-3\frac{7}{15}[/tex]

Hence final answer is [tex]=3\frac{7}{15}[/tex].

Answer: No. But there are steps you have to take

Step-by-step explanation: To find the perimeter of a regular polygon, that is a polygon with equal sides. First, write down the length of 1 side and the total number of sides. Then, multiply the 2 numbers together to find the perimeter.

To find the relationship between two quantities, x and y, in a table, analyze patterns in the changes of the values, determine if the relationship is linear or nonlinear, and then use the identified relationship to calculate missing values. A computer can be useful for plotting data and visualizing the relationship.

To find the relationship between two quantities, x and y, in a table, first, you need to look for a pattern in the way the numbers change. If y changes by a consistent amount when x changes by a set amount, the relationship is likely linear. If the rate of change itself changes, the relationship may be nonlinear. To determine the relationship:

To fill in missing values:

When calculating these relationships, plotting data using computers can be helpful, especially for identifying linear or nonlinear relationships and for regression analysis in more complex datasets.

Answer:

I believe its C

A scatter plot is just plotting the x and y coordinates on the graph.

x is horizontal (side to side) and y is vertical up and down.

A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.

The trend is just basically a line you guesstimate in the middle of the points that are scattered through the graph.

Describe it by saying whether it is positive or negative.

Therefore option C is correct.

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Answer:

60

Step-by-step explanation:

All you have to do is this:

24 * 2/5 (original equation)

24*5/2 = 60

we know line P is y = 3x.

parallel lines have the same slope but different y-intercept, where the graph touches the y-axis.  So then parallel lines is the same equation but shifted some either upwards or downwards or sideways.

so then line Q must be the same as P, y = 3x + "some change", well, we notice that the perpendicular distance from each other is 3 units, so then, the y-intercept of P is at (0, 0), thus the y-intercept of Q must be 3 units downwards, at (0, -3), since Q is shifted downwards, thus Q is y = 3x - 3.

Answer:

Three angles, measuring 25,65, and 90.

Step-by-step explanation:

Answer:

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.

Step-by-step explanation:

Please give me brainiest! <:)

This should help in the photo

The angle between the longest side and the diagonal of the rectangle is approximately 30 degrees.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

To solve this problem, we can use the Pythagorean theorem and trigonometric functions.

First, we can find the length of the diagonal of the rectangle using the Pythagorean theorem:

diagonal² = longest side² + shortest side²

diagonal² = 1000² + 577²

diagonal = √(1000² + 577²)

diagonal = 1162.46 mm (rounded to two decimal places)

Next, we can find the angle between the longest side and the diagonal using the inverse tangent function:

tan(θ) = opposite / adjacent

tan(θ) = 577 / 1000

θ= arctan(577 / 1000)

θ= 29.98

θ ≈ 30 degrees

Therefore, the angle between the longest side and the diagonal of the rectangle is approximately 30 degrees.

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Answer:

1

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 6) and (x₂, y₂ ) = (3, 2)

m = [tex]\frac{2-6}{3-7}[/tex] = [tex]\frac{-4}{-4}[/tex] = 1

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the equation of the graph  : y = sin(x + 90°)

because when :  x= 0 :  y = sin90° = 1

Answer:

Option A y = sin ( x + 90 )

Step-by-step explanation:

The given graph is the graph of cosine which should be in the form of

y = a cos ( bx + c ) + d

here a = amplitude = [tex]\frac{1-(-1)}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Since period of the wave is 2x or 360°.

we know, period = [tex]\frac{2\pi }{b}[/tex]

                          [tex]b=\frac{2\pi }{2\pi }[/tex] = 1

Now equation becomes,

y = cos ( x + c ) + d

In this graph there is no horizontal or vertical shift

c = 0 and d = 0

so equation will be  y = cos (x)

as we know              y = cos (x) = sin ( 90 + x )

Therefore, Option A y = sin ( x + 90 ) is the answer.

Answer:

A.) -5 √5

Step-by-step explanation:

if you solve the problem above, and solve each answer choice, you can ind a match

Hope this helped! ^_^

The expression 7√5 - 3√80 is simplified as negative 5√5. Then the correct option is A.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ 7√5 - 3√80

Then the expression is simplified as

⇒ 7√5 - 3√(16 x 5)

⇒ 7√5 - 3 x 4√5

⇒ 7√5 - 12√5

⇒ -5√5

Then the correct option is A.

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Answer:

b and c

Step-by-step explanation:

The excluded values are any values of x that make the denominator equal to zero as this would make the rational function undefined.

Equate the denominator to zero and solve for x to obtain excluded values

1

solve 1 - 2x = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex] → b

2

x² - 2x - 15 = 0 ← in standard form

(x - 5)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 3 = 0 ⇒ x = - 3

Excluded values are x = - 3 and x = 5 → c

Answer:

B and C

Step-by-step explanation:

Tara's unit rate of reading is 1.4 pages per minute, which means an equivalent rate is 2.8 pages per 2 minutes.

The question involves calculating an equivalent rate to Tara's unit rate of reading pages per minute. To find Tara's unit rate, we first need to determine how many pages she reads in one minute. Since Tara reads 3 1/2 pages in 2 1/2 minutes, we divide the number of pages by the number of minutes to find the unit rate:

To find an equivalent rate, we can multiply both the numerator and the denominator by the same number to get a rate with different terms but the same value. For example, multiplying by 2 would give us:

Therefore, an equivalent rate to Tara's reading speed would be 2.8 pages per 2 minutes.

Answer:

312 m

Step-by-step explanation:

Write and solve an equation of ratios:

 7       273 m

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

 8            x

Then 7x = 8(273 m) = 2184 m

and x = 2184 m / 7 = 312 m

The second length in the given ratio of 7:8, when the first length is 273m, is calculated to be 312m.

The given question is about ratios, particularly the ratio between two lengths, where one of them is given as 273 meters and the ratio is 7:8. The ratio tells us that for every 7 units of the first length, there are 8 units of the second length. To calculate the second length, first find the value of one ratio unit by dividing the given length by its ratio (273m / 7), then multiply your result by 8.

Steps:
1. 273m / 7 = 39m (This is one ratio unit)
2. 39m * 8 = 312m (This is the second length).

Therefore, the length of the second line is 312 m.

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Hello!

5 √ x^7

(^7) means smaller 7 exponent

Hope I helped!

~ Destiny ^_^

Final answer:

To rewrite the radical expression 5 square root of x to the 7th power with rational exponents, express it as 5x7/2.

Explanation:

To rewrite the radical expression as an expression with rational exponents, we can use the property that the square root is equivalent to raising to the power of 1/2. Thus, 5√x7 = 5x7/2.

Answer:

The answer is B.

Step-by-step explanation:

Please make me the brianliest

Answer:

a) 2x² + 14x + 24 = 0

Step-by-step explanation:

a)

2x² + 14x + 24 = 0

2(x + 4) (x + 3) = 0

x = -4 or x = -3

b)

x² - 6x + 5 = 0

(x - 1)(x - 5) = 0

x = 1 or x = 5

c)

3x² + 30x + 48 = 0

3 (x + 8) (x + 2) = 0

x = -8 or x = -2

d)

-3x² - 12x + 15 = 0

-3 (x + 5) (x - 1) = 0

x = -5 or x = 1

Final answer:

The equation which yields the solutions x=-3 and x=-4 is a. 2x² + 14x + 24 = 0.

Explanation:

To find which equation yields the solutions x=-3 and x=-4, we need to determine which equation, when factored, gives these roots. If an equation has roots x = -3 and x = -4, then it can be written in factorized form as:

(x + 3)(x + 4) = 0

Expanding this, we get:

x² + 4x + 3x + 12 = 0

x² + 7x + 12 = 0

Looking at the given options, we notice that none of them exactly match this equation. However, if we multiply our equation by 2, we get:

2x² + 14x + 24 = 0

This matches option (a). Therefore, the correct equation is:

2x² + 14x + 24 = 0

The projection of [tex]\vec u[/tex] onto [tex]\vec v[/tex] is

[tex]\mathrm{proj}_{\vec v}(\vec u)=\dfrac{\vec u\cdot\vec v}{\vec v\cdot\vec v}\vec v[/tex]

We have

[tex]\vec u\cdot\vec v=1.6\cdot(-2.1)+3.3\cdot(-0.5)=-5.01[/tex]

[tex]\vec v\cdot\vec v=\|\vec v\|^2=(-2.1)^2+(-0.5)^2=4.66[/tex]

[tex]\implies\mathrm{proj}_{\vec v}(\vec u)=\dfrac{-5.01}{4.66}\vec v\approx2.26\,\vec\imath+0.54\,\vec\jmath[/tex]

Answer:

answer is B i think on edg. 2.3i+0.5j

Step-by-step explanation:

just took the test

Answer:

A reflection over the y axis and then a reflection over the x axis gets a to a'. Hope this helps!

The answer is B. If angle b is congruent to angle c, then you would write the problem as 12x + 4= 14x-2. X=3. You can check by substituting three for x.

Final answer:

To find the value of x in the isosceles triangle ABC with given angle expressions, we set the expressions for angles B and C equal, leading to a simple equation that yields x = 3.

Explanation:

The question involves finding the value of x in an isosceles triangle where the angles at base B and C are given as algebraic expressions in terms of x. Since triangle ABC is isosceles with angles at B and C being equal, we can set the expressions for m∆B and m∆C equal to each other and solve for x.

Let's set up the equation using the fact that m∆B = m∆C since ∆ ABC is isosceles:

(12x + 4)° = (14x - 2)°

We can then solve for x:

Subtract 12x from both sides: 4° = 2x - 2°

Add 2° to both sides: 6° = 2x

Divide by 2 to solve for x: x = 3

The value of x is therefore 3, which corresponds to answer choice B.

Answer:

A =πr^2

Step-by-step explanation:

Answer: The formula for the area of a circle is pi times the radius, squared (A = π r²)

Step-by-step explanation: