Simone invests $2,000 in an account that compounds interest quarterly and earns 9%. How many years will it take for his money to double? (Round your answer to one decimal place.)

Answer:

x = 5±2 sqrt(11)

Step-by-step explanation:

(x-5) ²+5 =49

Subtract 5 from each side

(x-5) ²+5-5 =49-5

(x-5) ² =44

Take the square root of each side

sqrt((x-5) ²) =±sqrt(44)

sqrt((x-5) ²) =±sqrt(4*11)

x-5 = ±2 sqrt(11)

Add 5 to each side

x-5+5 = 5±2 sqrt(11)

x = 5±2 sqrt(11)

Answer:

[tex]\left(x-5\right)^2+5=49[/tex]

Subtract 5 from both sides

[tex]\left(x-5\right)^2+5-5=49-5[/tex]

[tex]\left(x-5\right)^2=44[/tex]

[tex]x-5=\sqrt{44}[/tex]

[tex]44=2^{2} \times11[/tex]

[tex]x-5=\sqrt{11} \sqrt{2^{2} }[/tex]

Radical rule:- [tex]\sqrt[n]{a^{n} } =a[/tex]

[tex]x-5=2\sqrt{11}[/tex]

Add 5 to both sides

[tex]x=2\sqrt{11}+5[/tex]

-------

[tex]x-5=-2\sqrt{11}[/tex]

Add 5 to both sides

[tex]x-5=-2\sqrt{11}[/tex]

Ans: [tex]x=2\sqrt{11}+5,\:x=-2\sqrt{11}+5[/tex]

OAmalOHopeO

Answer:

80

Step-by-step explanation:

15 percent of 80 is 12

and 12 is 60 percent of 80!

hope this helps :)

Answer:

30.10

Step-by-step explanation:

First find the amount of tax

28 * 7.5%

28 * .075

2.10

Add this to the price of the pants

28+2.10 =30.10

Answer:

507,640,142,072

Step-by-step explanation:

not sure what you are asking but I hope this helps! :D

Answer:

➕

Step-by-step explanation:

i know the answer ok it is easy

Answer:

Divide. Write the quotient in lowest terms.

4\dfrac{4}{5} \div 1\dfrac12 =4  

5

4

​

÷1  

2

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

I'm assuming you are trying to say slope "0".

If the slope is 0, it means that the general equation Y = mX + c equals to Y = 0x + c and finally Y = c. Since the line is horizontal because it is 0 slope, Y = 6

The equation of the line with slope 0 passing through the point (-3, 6) will be y = 6.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The equation of the line passing through (x₁, y₁ ) is  given by

y - y₁ = m(x - x₁)

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that

The line has points ( -3, 6 )

Slope(m) = 0

The equation of the line passing through (x₁, y₁ ) is  given by

y - y₁ = m(x - x₁)

so,

y - 6 = 0 (x + 3)

y - 6 = 0

y = 6

Hence, the line which is passing through the point ( -3, 6 ) will be y = 6.

For more about line segment

https://brainly.com/question/25727583

#SPJ2

Answer:

Point has co-ordinates, (0, 5)

Step-by-step explanation:

If they cut y-axis, then x = 0

[tex]2y - x = 10 \\ 2y - 0 = 10 \\ 2y = 10 \\ y = 5[/tex]

9514 1404 393

Answer:

  h'(3) = 26

Step-by-step explanation:

  h(x) = 3f(x) +5g(x) +3 . . . . . . . given

  h'(x) = 3f'(x) +5g'(x) . . . . . . . . take the derivative

  h'(3) = 3f'(3) +5g'(3) . . . . . . . use x=3

  h'(3) = 3(2) +5(4) = 26

Answer:

C

Step-by-step explanation:

Answer:

f^6h^6

Step-by-step explanation:

f^9 h^23

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

f^3 h^17

We know a^b / a^c = a^(b-c)

f^9 / f^3 = f^(9-3) = f^6

h^23 / h^17 = h^(23-17) = h^6

f^6h^6

Answer:

Option 4) The area of the flower bed is smaller than 4 square feet.

Step-by-step explanation:

Let’s solve for the area of the flower bed.

Consider that the flower bed is a rectangle.

The area of a recrangle is given by the formula:

A = length x width

The area of the flower bed is:

4 ft x 4/6 ft = 2 2/3 ft^2

2 2/3 ft ^2 < 4 ft^2

Therefore option 4 is the correct answer.

Answer:

<

Step-by-step explanation:

Inequality symbols:

<     less than

>     greater than

=     equal to

≤     less than or equal to

≥     greater than or equal to

In this case, it is known that -4 is less than 5, or:

-4 < 5.

~

Answer:

>

Step-by-step explanation:

because 5 is bigger than -4

BULBS PRODUCED PER DAY:-

[tex]\\ \sf\longmapsto \dfrac{1188440}{365}[/tex]

[tex]\\ \sf\longmapsto 3256[/tex]

Total bulbs

[tex]\\ \sf\longmapsto 31(3256)[/tex]

[tex]\\ \sf\longmapsto 100936[/tex]

Answer:

2x-1=3

2x=3+1

2x=4

x=2

[tex]\huge\boxed{\underline{\bf \: Answer}}[/tex]

(a) Let's try with x = - 1

[tex] \sf \: 2x - 1 = 3 \\\sf 2( - 1) - 1 = 3 \\ \sf- 2 - 1 = 3 \\ \\ \boxed{\bf- 3 \: \bcancel= \: 3}[/tex]

So, x = - 1 is not the solution to the given equation.

______________

(b) Now, try with x = 2

[tex]\sf2x - 1 = 3 \\ \sf2(2) - 1 = 3 \\ \sf4 - 1 = 3 \\ \\ \boxed{\bf3 = 3}[/tex]

Yes, we can see that x = 2 is the correct solution for the equation.

______________

Hope it helps.

RainbowSalt2222

9514 1404 393

Answer:

Step-by-step explanation:

The factor 10^-6 can be brought out:

  ((5.5 +6.3)×10^-6)^2 = (11.8^2)×10^-12 = 1.3924×10^-10

Often, a problem like this wants you to round to a precision appropriate to the given values. Here, that is 2 significant figures:

  ≈ 1.4×10^-10

_____

Additional comment

Your scientific or graphing calculator can do this nicely, even showing you the result in scientific notation. A spreadsheet can do the same.

The usual rules of exponents apply.

  (a^b)(a^c) = a^(b+c)

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

Answer:

Yummy!

Step-by-step explanation:

3x ⁴ = 3x ² • x ². Then

(3x ⁴ - 2x ³ + 4x - 5) - 3x ² (x ² + 4) = -2x ³ - 12x ² + 4x - 5

-2x ³ = -2x • x ². Then

(-2x ³ - 12x ² + 4x - 5) - (-2x) (x ² + 4) = -12x ² + 12x - 5

-12x ² = -12 • x ². Then

(-12x ² + 12x - 5) - (-12) (x ² + 4) = 12x + 43

So we've shown

[tex]\displaystyle \frac{3x^4-2x^3+4x-5}{x^2+4} = 3x^2 - \frac{2x^3+12x^2-4x+5}{x^2+4} \\\\ = 3x^2 - 2x - \frac{12x^2-12x+5}{x^2+4} \\\\ = \boxed{3x^2 - 2x - 7 + \frac{12x+43}{x^2+4}}[/tex]

Answer:

1/4

Step-by-step explanation:

Probability of red * number of candies

2/5 * 25 = 10

There are 10 red candies

25-10 = 15

There are 15 other candies

Remove 5 red

10-5 = 5 red candies

Now we have 5 red candies and 15 other candies= 20 candies

P(red) = red/total = 5/20 = 1/4

Answer:

544

.....................

Answer:

543

Step-by-step explanation:

The required number = 540 + 3 = 543

hope this helps

5 pencils = 15 dollors

1 pencil = 15/5 dollors

therefore 1 pencil = 3 dollors...

Answer:

Each pencil would cost $3.00

Step-by-step explanation:

If 5 costs $15, to find the cost of one you divide 15 by 5

15 ÷ 5 = 3

By definition of bisector, the angle bisector of any angle of a triangle divides that angle in two equal parts.

But first you must know the definition of the bisector of a triangle.  The bisector of a triangle is a segment that divides one of its interior angles into two equal parts and continues until it reaches the side opposite that angle.

In other words, the bisector of a triangle is a line that divides each interior angle of the triangle into two equal angles.

Each interior angle of the triangle corresponds to a bisector, so since each triangle has three interior angles, it has three bisectors.  The three bisectors of a triangle meet at a point called the incenter and it is always an interior point of the triangle.

In summary, the bisector of any angle of a triangle is a segment that divides the angle into two equal parts.

Learn more about angle bisector of a angle of a triangle:

9514 1404 393

Answer:

Step-by-step explanation:

The reduced side ratios, shortest to longest are ...

  AC : AT : CT = 8 : 9 : 15

  OD : OG : DG = 5 : 6 : 10

These are different ratios, so the triangles are not similar.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Given }}{\orange{:}}}}}[/tex]

[tex]2x - 40y = 73...(i)[/tex]

[tex]7x + 65y = 332...(ii)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\pink{To\:find }}{\pink{:}}}}}[/tex]

The values of [tex]x[/tex] and [tex]y[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\green{Solution }}{\green{:}}}}}[/tex]

[tex]x=43.96 [/tex] and [tex]y = 0.373 [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

Let us solve this by substitution method.

From [tex]eqn.\:(i),\:we\:have [/tex]

↬[tex]2x - 40y = 73[/tex]

↬[tex]2x = 73 + 40y[/tex]

↬[tex]x = \frac{73 + 40y}{2}...(iii) \\ [/tex]

Substituting the value of [tex]x[/tex] in [tex]eqn.\:(ii)[/tex] gives us

↬[tex]7( \frac{73 + 40y}{2} ) + 65y = 332 \\ [/tex]

↬[tex] \frac{511 + 280y}{2} + \frac{65y \times 2}{1 \times 2} = 332 \\ [/tex]

↬[tex] \frac{511 + 280y + 130y}{2} = 332 \\ [/tex]

↬[tex]410y + 511 = 332 \times 2[/tex]

↬[tex]410y = 664 - 511[/tex]

↬[tex]y = \frac{153}{410} \\ [/tex]

↬[tex]y = 0.373[/tex]

Now, plug the value of [tex]y[/tex] in [tex]eqn.\:(i)[/tex]

↬[tex]2x - 40 \times 0.373 = 73 \\ [/tex]

↬[tex]2x - 14.92= 73 [/tex]

↬[tex]2x = 73 +14.92[/tex]

↬[tex]x = \frac{87.92}{2} \\ [/tex]

↬[tex]x = 43 .96[/tex]

Therefore, the values of [tex]x[/tex] and [tex]y[/tex] are [tex]\boxed{ 43.96 }[/tex] and [tex]\boxed{ 0.373 }[/tex] respectively.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

The solutions are y=0, -5/2

Step-by-step explanation:

-3y(2y+5)=0

We can use the zero product property

-3y =0  2y+5 =0

y =0     2y = -5

             y = -5/2

The solutions are y=0, -5/2

Answer:

x=-1/4+i*sqrt(47)/4 and x=x=-1/4-i*sqrt(47)/4

Step-by-step explanation:

Using quadratic formula, x=(-1±sqrt(1-48))/4.

x=-1/4+i*sqrt(47)/4 and x=x=-1/4-i*sqrt(47)/4

Answer:

If you do not understand any steps, please feel free to comment down below.

Answer:

6 or 5 or 4...........

Step-by-step explanation:

Answer:

x=N :x<7

Step-by-step explanation:

123456

hope it's helpful