If an investment has a 5% annual interest rate and it is compounded
monthly, how many years will it take to double in value?

Answer:

-2

Step-by-step explanation:

-4x^3 = 32

x^3 = -8

take the cube root of both sides.

x = -2

[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]

Answer:

a no. is the answer

Step-by-step explanation:

b=a+13

or, 14 = 1+13

or, 14= 14 {True}

Answer:

b=a+13

b=1+13

b=14

again,

b=a+13

b=6+13

b=19

so the relationship between a & b is b=a+13

Answer:

I think you are incorrect

Step-by-step explanation:

this was the answer i got 121

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

$60

hope it helps...!!!

Answer:

Ans: n−√5

Step-by-step explanation:

Answer: A, D, F

Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000

G: 10

Answer: 5.7s

Step-by-step explanation:

We are explicitly given the final velocity of 58.8m/s, and implicitly given the acceleration of 9.8m/s^2 due to gravity. We are also implicitly given the initial velocity of the pebble. The pebble was not thrown off the cliff, it simply fell off the cliff. Therefore the initial velocity is 0m/s. Using the first kinematic equation, you get:

[tex]v_f=v_i+at[/tex]

[tex]58.8=0+(9.8)t[/tex]

[tex]58.8=9.8t[/tex]

[tex]t=5.7s[/tex]

Answer:

purple

Step-by-step explanation:

Step-by-step explanation:

a) write 2 2/3 as an improper fraction in its simplest form....

[tex] = 2 \frac{2}{3} \\ [/tex]

[tex] = \frac{2 \times 3 + 2}{ 2} \\ [/tex]

[tex] = \frac{8}{2} \\ [/tex]

[tex] = \frac{8 \div 2}{2 \div 2} \\ [/tex]

[tex] = \frac{4}{1} = 4 \\ [/tex]

B) Work out 2 2/3 x5 give your anwser as an improper...

[tex] = 2 \frac{2}{3} \times 5 \\ [/tex]

[tex] = \frac{2 \times 3 + 2}{3} \times 5 \\ [/tex]

[tex] = \frac{8}{3} \times 5 \\ [/tex]

[tex] = \frac{40}{3} \\ [/tex]

Answer:

31.6m

Step-by-step explanation:

First, find area of the vessel [ (πr2h)/3 ]

Radius = 5.2/2= 2.6

Using Pythagorean theorem, find the height of the cone:

[tex]\sqrt{6.8^{2} -5.2^{2} }[/tex] = 4.38

Area of vessel = [tex]\frac{ (PI * 2.6 * 2 * 4.38)}{3}[/tex] =  56.88 [tex]cm^{3}[/tex]

Do cross multiplication using ratios:

1.8      =    1

56.88 =   [tex]x[/tex]

[tex]\frac{56.88}{1.8}[/tex]= 31.6

Answer:

15.8 :D

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

9^2 + 13^2 = c^2

81 + 169 = c^2

250 = c^2

Now we need to find the square root!!

[tex]\sqrt{250}[/tex] = 15.8 :)

Have an amazing day!!

Please rate and mark brainliest!!!

Answer: 90$

Step-by-step explanation:

Answer:

225 men

This conversion leads to the answer:

Answer:

He worked about 5.5 hours

Step-by-step explanation:

Im pretty sure

Answer:

7.5  hours

Step-by-step explanation:

h=hours

30+8h +12-8 =94

8h+34=94

8h =60

h= 7.5

~Denki~

Answer:

the length of "AC" should be the same as it was before it was reflected over the y-axis.

(there is no picture so i cant get as specific as intended)

hope this helps :D

Answer:

B. 12 ÷ 13

Explanation:

let's keep in mind that the shapes are both congruent, and let's also notice the letters sequence, KLMN is congruent with with its corresponding sides and angles at PQRS, so the PS side will be corresponding with the NK side, and the angle at M is the same as the angle at R, Check the picture below.

Answer:

(4, -18)

Step-by-step explanation:

First  Use this formula for the x -axis  -b/2a  

-8/2(1) is -4

Then plug in -4 to the equation

(-4)^2+8(-4)-2 = -18

My math teacher did it the same way so I would go with your teacher's way

Answer:

1. B = 6 m²

2. h = 2 m

3. V = 12 m³

Step-by-step explanation:

the base is a right triangle

Then

[tex]B=\frac{3\times 4}{2} =6\ m^{2}[/tex]

____________

The height of the prism is the length of the segment that join the base to its opposite face

Then

h = 2m (given)

___________

The volume of the prism :

[tex]V=B\times h=6\times 2=12 m^3[/tex]

The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

From the question, we are to determine the point-slope form of the given line

The point-slope form of an equation of a straight line is written as

[tex]y-y_{1}=m(x-x_{1})[/tex]

Where m is the slope and [tex](x_{1},\ y_{1})[/tex] is a point on the line

From the given information,

m = -3

And in the diagram,

One of the points on the line is (2, -2)

Therefore, we can write that

x₁ = 2 and y₁ = -2

Substituting into the point-slope form of an equation of a line,

We get

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

This becomes

y + 2 = -3(x - 2)

Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231

The diagram for the question is attached below.

The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.

The area is the amount of space occupied by a two dimensional shape or object.

Area of rectangle = length * width = 6 mm * 8 mm = 48 mm²

Area of triangle = (1/2) * base * height = 0.5 * 6 * 8 = 24 mm²

The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.

Find out more on area at: https://brainly.com/question/25292087

The longer distance that Alexa can follow to the school is the sidewalk since 70m is longer than 13m.

From the information given, Alexa can follow the sidewalk from the library to the school or she can travel across the grass.

In this case, the distance of the sidewalk is 78m and the distance of the grass is 13m. Therefore, the longer distance is the sidewalk.

Learn more about distance on:

https://brainly.com/question/17273444

Answer:

In the first 5 years, 138,750$ worth of rent will already have been paid.

Step-by-step explanation:

Since you have to pay 925$ a month worth of rent, in only 1 year, 5,550$ rent money will already have been payed. Now, multiply 925 x 5 x 30 = 138,750. Since the rent increases by 6% every year, in the first 5 years it would have already increased to 30%. So therefore, you would have to pay 138,750$ money worth of rent.

Step-by-step explanation:

[tex]the \: length \: of \: the \: ladder \: becomes \: the \: hypotenuse \: [/tex]

[tex]the \: base \: becomes \\ = \sin( \alpha ) \times hypotenuse \\ = \sin(12) \times 15 \\ = 3.119ft[/tex]

Answer:

x<-9

Step-by-step explanation:

x−1<−10

Add 1 to both sides.

x<−10+1

Add −10 and 1 to get −9.

x<−9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hoped this helped :)

Answer:

x < -9

Step-by-step explanation:

⇒ x - 1 < -10

⇒ x < -10 + 1

⇒ x < -9

Answer:

c and d

Step-by-step explanation:

hope it helps bud