Vladimir is looking to retire in 10 years. He has a plan to put $25,000 into an investment today that earns interest at a fixed amount per year. What would be a reasonable domain and range for a function modeling the total amount of the investment, including interest?
25 Points for the correct answer

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Explanation:

The jump from 4 inches to 5 inches is 5/4 = 1.25

In other words, 4*1.25 = 5

So we need to multiply every dimension by the scale factor 1.25 to enlarge the image. The 5 inch dimension then goes to 5*1.25 = 6.25 inches

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Here's another way you can solve

(old width)/(old length) = (new width)/(new length)

4/5 = 5/x

4x = 5*5

4x = 25

x = 25/4

x = 6.25

The exterior angle of each polygon and the adjacent interior angle are

supplementary.

(a) 72°    (b) [tex]\displaystyle 51 \frac{3}{7} ^{\circ}[/tex]    (c) 36°    (d) 20°    (e) 18°

Reasons:

The formula for the exterior angle of a regular polygon is, [tex]\displaystyle \theta = \mathbf{ \frac{360 ^{\circ}}{n}}[/tex]

Where;

θ = The exterior angle of the polygon

n = The number of sides of the regular polygon

(a) The number of sides in a pentagon, n = 5 sides

Therefore, for a regular pentagon, we have;

[tex]Exterior \ angle , \displaystyle \theta = \frac{360 ^{\circ}}{5} = \mathbf{{72^{\circ}}}[/tex]

The measure of the exterior angle of a pentagon, is 72°

(b) An heptagon has n = 7 sides

The measure of the exterior angle, θ, of a regular heptagon is therefore;

[tex]Exterior \ angle \ of \ a \ heptagon , \,\displaystyle \theta = \frac{360 ^{\circ}}{7} = \underline{51 \frac{3}{7} ^{\circ}}[/tex]

(c) A decagon has n = 10 sides, which gives;

[tex]The \ exterior \ angle \ of \ a \regular \ decagon, \,\displaystyle \theta = \frac{360 ^{\circ}}{10} = \underline{36^{\circ}}[/tex]

(d) The exterior angle of an 18-gon with n = 18 sides is given as follows;

[tex]The \ exterior \ angle \ of \ a \ regular \ 18-gon, \,\displaystyle \theta = \frac{360 ^{\circ}}{18} = \underline{20^{\circ}}[/tex]

(e) A regular 20-gon has n = 20 sides

The exterior angle of a regular 20-gon is [tex]\displaystyle \frac{360 ^{\circ}}{20} = \underline{ 18^{\circ}}[/tex]

Learn more about the angles of a polygon here:

https://brainly.com/question/12871621

Step-by-step explanation:

11)

d=√[(-2-(-3))^2+(3-10)^2]=√(-2+3)^2+(-7)^2

=√1+49=√50=7.07 approximately

12)

M (((-1)+(-7))/2 , (2+(-4))/2)=(-8/2 , -2/2)=(-4 ,-1)

Answer:

31/35x^7

Step-by-step explanation:

3/5x^4 +2/7x^3

you find the lcm of the denominators

21/35x^7 + ,10/35x^7 =31/35x^7

Answer:

no, you're just simplifying the fraction.

Step-by-step explanation:

4/6=2/3

Answer:

5/6

Step-by-step explanation:

Answer:

e Are you need me?you write l donot know.

Answer:

117/50 or 2 17/50 or 2.34

Step-by-step explanation:

i don't know is just simple

You multiply 7 X5+4 is 39, 39/5 and then multiple

#1

[tex]\\ \sf\longmapsto cos75°[/tex]

[tex]\\ \sf\longmapsto cos(45+30)°[/tex]

[tex]\\ \sf\longmapsto cos45cos30+sin45.sin30[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}\times \dfrac{\sqrt{3}}{2}+\dfrac{1}{\sqrt{2}}\times \dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{\sqrt{3}}{2\sqrt{2}}+\dfrac{1}{2\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{\sqrt{3}+1}{2\sqrt{2}}[/tex]

#2

[tex]\\ \sf\longmapsto tan\left(-\dfrac{\pi}{12}\right)[/tex]

[tex]\\ \sf\longmapsto tan(-15°)[/tex]

[tex]\\ \sf\longmapsto \dfrac{sin(-15)}{cos(-15)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-sin15}{cos15}[/tex]

[tex]\\ \sf\longmapsto -\dfrac{\dfrac{\sqrt{3}-1}{2\sqrt{2}}}{\dfrac{\sqrt{3}+1}{2\sqrt{2}}}[/tex]

[tex]\\ \sf\longmapsto -\left(\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\right)[/tex]

inequality form: x>3

interval form: (3,infinity)

Step-by-step explanation:

Answer:

x>3

Step-by-step explanation:

Answer:

x ≥ 3 and x ≤ -3      See below

Step-by-step explanation:

| x | ≥ 3

 Case I                                     Case II

x ≥ 3                                          -(x) ≥ 3

                                                  -x ≥ 3  multiply by -1 and change the inequality

                                                  x ≤ -3

The graph:

Graph ≤ or ≥ the closed circle at the endpoint.

  x ≥ 3  closed circle at point 3 and shade to the right .

  x  ≤ -3  closed circle at -3 and shade to the left.

Answer:

The six pack of water is the best deal.

Step-by-step explanation:

Divide the number of water bottles per pack by the cost of the pack.

$1.58 per bottle for the six pack.

$2 per bottle for the nine pack.

$1.72 per bottle for the 12 pack.

Answer:

50

Step-by-step explanation:

find a number that is 16 less than twice a number is decrease is 84

so if i get this right it is:

84 = 2x-16?

if so we do the following:

84+16 = 2x (Move the variables to one side and the numbers to the other)

100 = 2x (simplify)

50 = x (divide each side)

Answer:

4xy+10y²=2y(2x+5y)

Hope it helps!!!

Answer:

SA = 29.75 cm^2

i used polynomial division.. i hope this helps :)

Answer:

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

❤️❤️❤️❤️❤️

Answer:

64

Step-by-step explanation:

40x1.6

Answer:

The area is 1,015,968

Step-by-step explanation:

Answer:

1,015,968 (otherwise known as a ridiculously large bedroom lol)

Step-by-step explanation:

912 x 1114 = 1,015,968

Do it on any calculator and it will give you the same thing

I don't know if this was a typo because again that is a ridiculously large bedroom so if it is lemme know and I'll edit my answer

Answer:

Hold on, our servers are swamped. Wait for your answer to fully load.

Step-by-step explanation:

Hold on, our servers are swamped. Wait for your answer to fully load.

Answer:

45degres

Step-by-step explanation:

Answer:

55+45+X=180

X=180-100

X=80

Step-by-step explanation:

Add

Inverse the sum of 55 and 45

Then subtract

Answer:

[tex]a_{n}[/tex] = 0.5n - 2.5

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 2 and d = a₂ - a₁ = - 1.5 - (- 2) = - 1.5 + 2 = 0.5 , then

[tex]a_{n}[/tex] = - 2 + 0.5(n - 1) = - 2 + 0.5n - 0.5 = 0.5n - 2.5 ← explicit equation

Answer:

1.5 if you Evaluate and in fraction form [tex]\frac{15}{10}[/tex]

hiStep-by-step explanation:

Answer:

41

Step-by-step explanation:

Since it is only being reflected, the letters would match up with their primes and still equal the same amount for the sides. Since B'C' is 41, it would mean that BC is 41 too

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The Correct choice is A :

Answer:

A, because ∆ QRS isn't a right angled triangle unlike the other choices and its height is in the middle,the rest of the choices are right angled and the line segments in the choice are all their hypotenuse,and the hypotenuse of a triangle isn't it's height

Answer:

x=-2, x=1/2

Step-by-step explanation:

> 2x²-x=2-4x

> 2x²-x+4x-2=0

> 2x²+3x-2=0

> 2x(x+2)-(x+2)=0

> (x+2)(2x-1)=0

> x+2=0; 2x-1=0

> x=-2; x=1/2

Answer:

30m or 6m5

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The simplification of the given expression 6 x m x 5 will be 30m.

Simplification is to make something easier to do or understand and to make something less complicated.

The expression is given below.

6 x m x 5

Then the simplification of the expression will be

30m

Where m can be any number.

Then the expression 6 x m x 5 is written as 30m.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

Answer:

Abrazos

Step-by-step explanation:

segundo = x

primero = (3*)segundo

tercero = (2*)primero

tercero = 2 * 3 = (6*)segundo

6x + 3x + x = 3000

10x = 3000

x = 300

segundo = 300

primero = 300 * 3 = 900

tercero = 300 * 6 = 1800

checando: 1800 + 900 + 300 = 3000