HELP WITH THE BONUS PLEASE!!!!

HELP WITH THE BONUS PLEASE!!!!

Answers

Answer 1

Based on the stock price and its growth rate, the function that models the situation is 48 (1 + 8%) ^ n. The price of the stock 6 years from now is $76.17.

What is the best function for the stock's growth?

The value of a stock in future can be calculated using several types of formulas that take into account the various characteristics of the stock.

For this stock, the value of the stock at any given year is:

= Current price of stock x ( 1 + growth rate) ^ number of years from now

Assuming the number of years is n, the function becomes:

= 48 x ( 1 + 8%) ^n

In 6 years, the price will be:

= 48 x ( 1 + 8%) ⁶

= $76.17

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Related Questions

Find the midpoint of the line segment joining (–4, –2) and (2, 8).

Answers

(-1,3)

( (-4 + 2) / 2 , (-2 + 8) / 2 )
(-1,3)

A regular octagon has side lengths of 8 centimeters. what is the approximate area of the octagon?

Answers

Answer:309

Step-by-step explanation:

Each gallon of porch and deck paint covers 200 square feet. how many gallons are needed to cover 1241 square feet?

Answers

7 gallons are needed to cover 1241 square feet.

In this question,

Each gallon of porch and deck paint covers 200 square feet.

To find out how many gallons of paint needs, we have to divide the total area of deck by the amount of deck that one gallon covers.

We use the unitary method to find out how many gallons of paint needs.

Using unitary method,

1241 / 200 = 6.205

However, we cannot buy a fraction of a gallon of paint.

So, the amount of gallons of paint needed is approximately equal to 7 gallons.

Therefore, 7 gallons are needed to cover 1241 square feet.

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what value ofx is in the solution set of 3(x-4)>5x +2?

Answers

[tex]\boldsymbol{\sf{3(x-4) > 5x +2 }}[/tex]

Use the distributive property to multiply 3 by x−4.

[tex]\boldsymbol{\sf{3x-12 > 5x+2 }}[/tex]

Subtract 5x on both sides.

[tex]\boldsymbol{\sf{3x-12-5x > 2 } }[/tex]

Combine 3x and −5x to get −2x.

[tex]\boldsymbol{\sf{-2x-12 > 2 }}[/tex]

Add 12 to both sides.

[tex]\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}[/tex]

[tex]\boldsymbol{\sf{-2x > 14}}[/tex]

Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.

[tex]\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}[/tex]

[tex]\boxed{\boldsymbol{\sf{x < -7 }}}[/tex]

So in the inequality 3(x-4)>5x +2, the value of x is -7.

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Factor the polynomial completely
10³ -25r² - 12r + 30

Answers

ANSWER
(5r^2 - 6)(2r - 5)

EXPLANATION
Factor by grouping
(10r^3 - 25r^2) + (-12r + 30)

Factor a GCF
5r^2 (2r - 5) -6 (2r - 5)

Combine groups
(5r^2 - 6)(2r - 5)

CHECK
Use FOIL

First: 5r^2*2r = 10r^3
Outside: 5r^2*-5 = -25r^2
Inside: -6*2r = -12r
Last: -6*-5 = 30

An amusement park sells adults' and
children's passes. An adult's pass is $25,
and a child's pass is $15. A group spent
$440 on 20 passes. How many children's
passes did the group purchase?
A

Answers

Answer:

6 children passes

Step-by-step explanation:

a = adult and c = children

25a + 15c = 440           and          a + c = 20

                                                     c = 20 - a

25a + 15(20-a) = 440

25a + 300 - 15a = 440

25a - 15a = 440 - 300

10a = 140

a = 140/10

a = 14 and this is 14 adult tickets

Now we plug the a value into the equation to find the c value

14 + c = 20

c = 20 - 14

c = 6

Verify answer:

25(14) = 15(6) = 440

350 + 90 = 440

440 = 440

PLEASE HELP BRAIBLIST ANSWER PLS

Answers

Answer:

[tex]m=-3[/tex]

Step-by-step explanation:

Given points:
[tex](5,3),(8,-6)[/tex]

1. Find the slope

The slope of a line between two points equals the change in the points' y-coordinates (rise) over the change in their x-coordinates (run).

The coordinates of point 1 are: [tex]x_1=5,y_1=3[/tex]

The coordinates of point 2 are: [tex]x_2=8,y_2=-6[/tex]

To find the slope, plug the points' x and y-coordinates into the formula and combine to simplify:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-6-3}{8-5}[/tex]

[tex]m=\frac{-9}{3}[/tex]

[tex]m=-3[/tex]

cosa/2-tana +sina/1-cota=cosa+sina​

Answers

Answer:

Cosa/2-tana+sina

Step-by-step explanation:

Cosatana

The combination for opening a safe is a four-digit number made up of different digits. How many different combinations cna you make, using only odd digits?

Answers

Answer:

120

Step-by-step explanation:

My choices are: 1, 3, 5, 7, 9.  I cannot repeat any of the numbers.

The first spot, I have 5 choices.  The second spot, I have 4 choices, the third spot, I have 3 choices and the final spot has only 2 choices.

5x4x3x2 = 60

help please. which one is right?








Answers

Answer: B

Step-by-step explanation: If it goes through a point, flip that point around and that is the point of the inverse. Do that for multiple points to get your answer, which is B

Find how many matches Peter won. plss answwer (ಥ _ ಥ)

Answers

Answer:

10 is the right answer...

Step-by-step explanation:

thanks

mark me as brainlist....

David's car was valued at $38,000 in the year 2007. If it is continuously depreciating in value by 6% every year, how much will it be worth in 2017

Answers

The car will be worth $20467 in 2017

How to determine the worth in 2017?

The given parameters are:

Initial value, a = 38000

Depreciation rate, r = 6%

The value of the car after x years is represented by the following exponential equation

V(x)= a(1 - r)^x

Substitute the known values in the above equation

V(x) = 38000 * (1 - 6%)^x

2017 is 10 years from 2007

This means that x = 10

So, we have:

V(x) = 38000 * (1 - 6%)^10

Evaluate

V(x) = 20467

Hence, the car will be worth $20467 in 2017

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This design is made from 1 blue circle, 4 orange circles and 16 green circles. The circles touch each othe Given that the radius of each green circle is I unit, find the exact radius of a the orange circles, b the blue circle.

Answers

The radius of the orange circle is 1.5 unit and  the radius of the blue circle is 2.25 units

How to determine the radii of the circles?

The figure that completes the question is added as an attachment

The orange circle

The radius of the green circle is given as:

r = 1

One and half green circle make up the radius of the orange circle.

So, the radius of the orange circle is

R = 1.5 * r

This gives

R = 1.5 * 1

R = 1.5

Hence, the radius of the orange circle is 1.5 unit

The blue circle

The radius of the orange circle is given as:

r = 1.5

One and half orange circle make up the radius of the blue circle.

So, the radius of the blue circle is

R = 1.5 * r

This gives

R = 1.5 * 1.5

R = 2.25

Hence, the radius of the blue circle is 2.25 units

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Twenty-four $4$-inch wide square posts are evenly spaced with $5$ feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.

Answers

Answer:

129 1/3 is the answer

can someone help me with these kind of fractions
[tex]\frac{1}{2} of \frac{2}{3}[/tex]

Answers

Answer:

   [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

To find a fraction of a fraction simply multiply the numerators and denominators into another fraction:

[tex]\frac{1}{2}*\frac{2}{3} = \frac{2}{6} = \frac{1}{3}[/tex]

Answer:

1/3.

Step-by-step explanation:

'of' means multiply. so

1/2 of 2/3

= 1/2 * 2/3

= 1*2  /  2*3

= 2/6

= 1/3.

A square pyramid has a height of 6 units and a volume of 70 units3. if a square prism has the same base area and volume as the square pyramid, what is its height?

Answers

The height is 2 units.

What is a square pyramid?In terms of geometry, a square pyramid is a pyramid with a square base and four lateral faces. A pyramid is a polyhedron with three or more triangle faces that meet above its base. A square pyramid is a pentahedron, a three-dimensional form with a total of five faces.

Find the area of the base of the square pyramid:

The volume of the square pyramid is equal to [tex]V=\frac{1}{3} BH[/tex]

B is the area of the base, and H is the height of the pyramid

[tex]H= 6 units[/tex]

[tex]V=70 units^{3}[/tex]

Solve: B

[tex]70=\frac{1}{3} B(6)\\ \\ B=\frac{70}{2} \\ \\ = 35units[/tex]

To find the height of the square prism:

The volume of the square prism is equal: [tex]V=Bh[/tex]

B is the area of the base and h is the height of the prism

[tex]B=35 units^{2}[/tex]

[tex]V=70units^{3}[/tex]

Solve: h

[tex]70=\frac{35}{h}[/tex]

[tex]h=2units.[/tex]

The height is 2 units.

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The height of the square pyramid exists 2 units.

How to estimate the area of the base of the square pyramid?

Volume of the square pyramid

[tex]$V = \frac{1}{3}BH[/tex]

where B exists in the area of the base  H lives at the height of the pyramid

we have H = 6 [tex]$$unit^3[/tex]

V = 70 [tex]$$unit^3[/tex]

substitute in the formula and solve for B, we get

[tex]$70 = \frac{1}{3}B(6)[/tex]

B = [tex]$\frac{70}{2}[/tex]

= 35 [tex]$$unit^3[/tex]

To estimate the height of the square prism

Volume of the square prism = Bh

Where B exists the area of the base

h exists the height of the prism

we have B = 35 and V = 70

substitute in the formula and solve for h

70 = (35)h

h = 2 units.

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What is the unit rate of the proprrional relationship represented by the equation y=3x

Answers

The unit rate of the proportional relationship y = 3x is 3

How to determine the unit rate?

The proportional relationship is given as:

y = 3x

Divide both sides by x

y/x = 3

For a proportional relationship y/x = k;

The unit rate is 3

This means that the unit rate of the proportional relationship y = 3x is 3

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Instructions: Find the length of the arc. Round your answer to the nearest tenth.

Answers

Answer:

7

Step-by-step explanation:

The length of the arc can be calculated via a simple proportion:

2 pi r : 360° = x : 45°

Where r is the radius of the circumference and x the length of the arc we want to know. Isolating the x:

x = (2 pi r : 360) * 45 = (2 pi * 9 : 180) * 45 = 18 pi : 360 * 45 = 18pi : 8 = 7

Need help with my math please. 31-41. Read the directions carefully please.

Answers

Answer:

31. (98,765 x 9) + 3 = 888,888

32. (12,345 x 9) + 6 + 111,111

33. 3367 x 15 + 50,505

34. 15,873 x 28 = 555,555

35. 33,334 x 33,334 = 1,111,155,556

36. 11,111 x 11,111 = 123,454,321

41. 3 + 9 + 27 + 81 + 243 = 3(243 -1) / 2

42.  1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 + 1/5x6 = 5/6

Conjecture -> solve these problems and see if they are equal on both ends

EX:  3 + 9 + 27 + 81 + 243 ->  363

       3 x 242 = 726 -> 726/2 = 363

Verified

What is the perimeter of kite OBDE?
12 units
22 units
38 units
58 units

Answers

By definition of perimeter, direct observation and Pythagorean theorem, the perimeter of kite OBDE is 38 units. (Correct choice: C)

How to determine the perimeter of a kite OBDE

In geometry, the perimeter is the sum of the lengths of the sides of a figure.  Herein we must determine the perimeter of a quadrilateral, the kite OBDE, that is, the sum of the lengths of its four sides:, which can be found both by direct observation or by the use of the Pythagorean theorem.

Please notice that the quadrilateral has an axis of symmetry passing through the points O and D, which implies that OB = OE and BD = DE. The length of sides BD and DE is 6 units and the length of the sides OB and DE are:

OB = DE = 0.5 · √(24² + 10²)

OB = DE = 13

Lastly, the perimeter of kite OBDE is p = 2 · 6 + 2 · 13 = 38 units.  

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Answer:  C. 38 units

Step-by-step explanation:  TRUST ME!!! Answer is correct on Edge!!!  :)

Just did it and got it correct!

Canceling units is also called: a. changing the value c. multiplication b. unit analysis d. making connections

Answers

Canceling units is also called unit analysis.

This is also called dimensional analysis.

What is a unit of analysis in statistics?

The unit of analysis is the entity that you're analyzing. It's called this because it's your analysis (what you want to examine) that determines what this unit is, rather than the data itself.Because it is the analysis you do in your study that determines what the unit is. For instance, if you are comparing the children in two classrooms on achievement test scores, the unit is the individual child because you have a score for each child.

For example -

1 ft = 12 in

3 ft =  [tex]3 ft * \frac{12 in }{1 ft}[/tex]

3 ft = ( 3 * 12 )  in ⇒ 36 in

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Determine whether the following series converges or diverges using any test. Be sure to clearly state what test(s) you are using and check any conditions needed to apply that test.

Answers

According to the ratio criterion, the rational series presented in the picture converges as x < 1. The limit L was 4 /5.

How to determine whether a series converges by ratio criterio

Herein we have a series in rational form, whose convergence can be proved by the ratio criterion, whose defintion is shown below:

x = lim (n → ∞) |aₙ/aₙ₊₁|   (1)

The series converges if x < 0 and diverges when x > 1. If x = 1, the criterion cannot be used and another criterion must be used instead. Now we proceed to apply it on the expression behind the series:

|aₙ/aₙ₊₁| = [(2 · n + 1) · (2 · n + 2)] / [5 · (n + 1)²]

|aₙ/aₙ₊₁| = [4 · n² + 5 · n + 2] / [5 · n² + 10 · n + 5]

Then, by applying the limit property for rational equations we find that limit of the expression within the series is:

L = 4 / 5

According to the ratio criterion, the rational series presented in the picture converges as x < 1. The limit L was 4 /5.

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By the ratio test, the series diverges.

[tex]\displaystyle \lim_{k\to\infty} \left| \frac{5^{k+1} ((k+1)!)^2}{(2(k+1))!} \cdot \frac{(2k)!}{(5^k (k!)^2}\right| = 5 \lim_{k\to\infty} \frac{(k+1)^2}{(2k+2)(2k+1)} = \frac54 > 1[/tex]

an alloy is made with 3 gram of silver 18 gram of copper 6 gram of aluminium and three Gram of zinc find what part of the total is used for each metal?

Answers

Answer:

see explanation

Step-by-step explanation:

total parts = 3 + 18 + 6 + 3 = 30

3 grams of silver = [tex]\frac{3}{30}[/tex] = [tex]\frac{1}{10}[/tex]

18 grams of copper = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]

6 grams of aluminium = [tex]\frac{6}{30}[/tex] = [tex]\frac{1}{5}[/tex]

3 grams of zinc = [tex]\frac{3}{30}[/tex] = [tex]\frac{1}{10}[/tex]

please please please please please please please please please please please please please please please please please help mey,​

Answers

Answer:

See below

Step-by-step explanation:

REMEMBER  sec = 1/cos ...so the left side is

[1/cos -1]   /  [1/cos  +1 ]    

  get common denominator for numerator and denominator

[ (1 -cos) /cos  ]  /  [ (1+cos) / cos ]    

 now flip the bottom fraction and multiply to get

[(1-cos/cos) ]  *  [ cos / (1+cos) ]    which simplifies to   ( the 'cos' term cancels)

(1-cos) / (1+cos)              done !

Question 8
725
A cable measures inch outside diameter and has a wrap of cotton that is 1000
1000
65
inch thick and covering of rubber insulation that is inch thick. What is the
diameter of the copper conductor (wire)?

Answers

Based on the thickness of the rubber insulation and outside diameter, the diameter of the copper conductor is 0.376 inch.

What is the copper wire's diameter?

The diameter of the copper wire can be found by the formula:

= Outer diameter - ( 2 x cotton insulation) - (2 x rubber insulation)

Solving gives:

= 500/ 1,000 - (2 x 12/ 1,000) - (2 x 50 / 1,000)

= 0.5 - (2 x 0.12) - (2 x 0.05)

= 0.376 inch

= 376 / 1,000 inch

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Graph the image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation ​ (0, 0) ​ .

Answers

The image of the given polygon under a dilation with a scale factor of 1/3 about the center of dilation ​(0, 0) ​is A'(0, 0), B'(1, 2) and C'(-1, 1)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is a transformation that preserves the shape and size of a figure such as translation, reflection and rotation.

Let us assume that the polygon has vertex at A(0, 0), B(3, 6) and C(-3, 3)

The image of the given polygon under a dilation with a scale factor of 1/3 about the center of dilation ​(0, 0) ​is A'(0, 0), B'(1, 2) and C'(-1, 1)

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find the zeros of the following
please solve step by step
1. x³+x²-4x-4=0
2. 2x³-11x²+17x-6=0

Answers

Question 1

[tex]x^3 + x^2 - 4x-4=0\\\\x^2 (x+1)-4(x+1)=0\\\\(x^2 -4)(x+1)=0\\\\(x-2)(x+2)(x+1)=0\\\\x=-2, -1, 2[/tex]

Question 2

By inspection, we know that [tex]x=2[/tex] is a root.

[tex]\frac{2x^3 - 11x^2 + 17x-6}{x-2}=2x^2 - 7x+3[/tex].

So, we can factor the equation as

[tex](x-2)(2x^2 - 7x+3)=0\\\\(x-2)(x-3)(2x-1)=0\\\\x=\frac{1}{2}, 2, 3[/tex]

HElp meee mwa mwa mwa

Answers

Answer:

[tex]a = 1, \ - 3[/tex]

Explanation:

[tex](a-6)(a+8) = -45[/tex]

distribute

[tex]a^2 + 8a - 6a - 48 = -45[/tex]

collect terms

[tex]a^2 + 8a - 6a - 48 + 45=0[/tex]

simplify

[tex]a^2 + 2a - 3=0[/tex]

factor

[tex](a - 1)(a + 3)= 0[/tex]

set to zero

[tex]a = 1, \ - 3[/tex]

Answer:

a = 1,  -3

Step-by-step explanation:

Given equation:

[tex](a-6)(a+8)=-45[/tex]

Expand the brackets:

[tex]\implies a^2+8a-6a-48=-45[/tex]

[tex]\implies a^2+2a-48=-45[/tex]

Add 45 to both sides:

[tex]\implies a^2+2a-48+45=-45+45[/tex]

[tex]\implies a^2+2a-3=0[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].  

Two numbers that multiply to -3 and sum to 2 are: 3 and -1.  

Rewrite the middle term as the sum of these two numbers:

[tex]\implies a^2+3a-a-3=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies a(a+3)-1(a+3)=0[/tex]

Factor out the common term (a + 3):

[tex]\implies (a-1)(a+3)=0[/tex]

Apply the zero product property:

[tex]\implies (a-1)=0 \implies a=1[/tex]

[tex]\implies (a+3)=0 \implies a=-3[/tex]

Verify the solutions by inputting the found values of a into the original equation:

[tex]a=1 \implies (1-6)(1+8) & =-5 \cdot 9 = -45[/tex]

[tex]a=-3 \implies (-3-6)(-3+8) & =-9 \cdot 5 = -45[/tex]

Hence both found values of a are solutions of the given equation.

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I need help with this question

Answers

Answer:

2.72 / 16 x 28 = $4.76

Step-by-step explanation:

Since they give you $2.72 for 16 ounces you put in:

2.72 / 16 x 28 = $___

Then you just solve it to get $4.76:

2.72 / 16 = 0.17

0.17 x 28 = 4.76

Identify the area of the figure rounded to the nearest tenth.

Answers

Answer:

91.5[tex]cm^{2}[/tex]

Step-by-step explanation:

The area of the rectangle:

a = lw

a =(21)(3) = 63

The area of the square:

a = lw

a = (5)(5) = 25

The area of a half circle:

a=[tex]\frac{\pi r^{2} }{2}[/tex]

a= [tex]\frac{3.14(1.5^{2}) }{2}[/tex]

a = [tex]\frac{3.14(2.25)}{2}[/tex]

a = [tex]\frac{7.065}{2}[/tex]

a = 3.5 rounded to the nearest tenth

63 + 25 + 3.5 =91.5

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