Using the rule of 72, if you invest $1,000 at an annual rate of 8%, about
how long will it take to double your investment?

Answers

Answer 1

Answer:

9

Step-by-step explanation:

it will take approximately (72 / 8) = 9 years to double the invested money.

Answer 2

Answer: 10

Step-by-step explanation:

time to double = 72/rate(as a percentage)

= 72/7

≈ 10.29

It will take about 10 years for your investment to double.


Related Questions

6th grade math I mark as brainliest

Answers

Answer:

8

Step-by-step explanation:

The exponent is the top number, which in this case would be 8.

Answer:

169.83

Step-by-step explanation:

big brain

Find the characteristic polynomial and the eigenvalues of the matrix.

[5 3]
[-4 4]

Answers

Answer:

Step-by-step explanation:

Given the matrix

[5 3]

[-4 4]

The characteristic polynomial is expressed as |A - λI| = 0  where λ are the eigen values and I is am identity matrix A 2*2 identity matrix is expressed as;

[1 0]

[0 1]

Substitute into expression will give;

[tex]= \left[\begin{array}{cc}5&3\\-4&4\\\end{array}\right] - \lambda \left[\begin{array}{cc}1&0\\0&1\\\end{array}\right] = 0\\= \left[\begin{array}{cc}5&3\\-4&4\\\end{array}\right] - \left[\begin{array}{cc}\lambda &0\\0&\lambda \\\end{array}\right] = 0\\= \left[\begin{array}{cc}5-\lambda&3\\-4&4-\lambda\\\end{array}\right] = 0[/tex]

Find the determinant of the resulting matrix;

|A - λI| = (5- λ)(4- λ)- 3(-4) = 0

|A - λI| = 20-5 λ-4 λ+ λ²+12 = 0

|A - λI| = 20-9λ+λ²+12 = 0

-9λ+λ²+32 = 0

Rearrange;

λ²-9λ+32 = 0

Hence the characteristic polynomial is expressed as λ²-9λ+32 = 0

Get the eigen values by finding the roots of the equation;

λ = 9±√9²-4(1)(32)/2

λ = 9±√81-(128)/2

λ = 9±√-47/2

λ = 9±√-47/2

λ₁ = 9-√47 i/2 and λ₂ = 9+√47 i/2

45% of a school brought in permission slips for Skateland. If the school received 150 permission slips, how many students are there in the school?

Answers

Step-by-step explanation:

What is 45% of 150?

Y is 45% of 150

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 45% * 150

Converting percent to decimal:

p = 45%/100 = 0.45

Y = 0.45 * 150

Y = 67.5

Brainliest?

Write the slope-intercept form of the equation of the line

4x + y = 2

Answers

Answer:

The equation in slope intercept form is y= 2 - 4x

A seagull ate exactly 12 anchovies everyday for one week,How many ancovies did it eat in all?​

Answers

Answer:

Step-by-step explanation:

7 days in a week so 12 times 7, which is 84 anchovies

Jenna goes fishing every Saturday morning. She is only allowed to catch a maximum of 222 fish each trip. The table below displays the probability distribution of XXX, the number of fish that Jenna catches in a trip. X= \# \text{ of fish}X=# of fishX, equals, \#, start text, space, o, f, space, f, i, s, h, end text 000 111 222 P(X)P(X)P, left parenthesis, X, right parenthesis 0.040.040, point, 04 0.320.320, point, 32 0.640.640, point, 64 Given that \mu_X=1.6μ X ​ =1.6mu, start subscript, X, end subscript, equals, 1, point, 6 fish, find the standard deviation of the number of fish that Jenna catches. Round your answer to two decimal places.

Answers

Answer: 0.57 fish. Khan academy told me.

Answer:

0.83

Step-by-step explanation:

step by step on Khan


3. n X 721 = 72.1

n =

Answers

Answer:

n would be 0.10

Step-by-step explanation:

the only way to get 72.1 is to multplay something below it like 0.10 so that why it makes since

If 1/4 is .25, what is the mixed number 6 1/4 in a decimal form?

PLZ HELP I'LL GIVE BRAINLIEST!

Answers

Answer:

6.25 is the answer

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Express this number in scientific notation. 0.0048

Answers

Answer

4.8 x 10^-3

Step-by-step explanation:

Which of the following is a true statement about the expression -9+9

Answers

add your choices so we can see what you’re working with

Which of the following is not a characteristic of permanent life insurance?
O A. Paid out when you die
O B. Must be renewed periodically
O C. Lifetime coverage
O D. Ability to access cash value

Answers

The statement's ability to access cash value is not characteristic of permanent life insurance.

We have given that

The characteristic of permanent life insurance

We have to determine which statement is not correct.

A. Paid out when you die

B. Must be renewed periodically

C. Lifetime coverage

D. Ability to access the cash value

What is the characteristic of permanent life insurance?

Permanent life insurance refers to coverage that never expires, unlike term life insurance, and combines a death benefit with a savings component.

The two primary types of permanent life insurance are whole life and universal life.

Permanent life insurance policies enjoy favorable tax treatment.

Therefore the statement's ability to access cash value is not characteristic of permanent life insurance.

To learn more about the permanent life insurance visit:

https://brainly.com/question/27023711

#SPJ2

Answer:

B Must be renewed periodically

Step-by-step explanation:

Tom bought a comic book for $5 at a discount of 20%. How much did the comic book
cost originally?

Answers

Answer:

0.4cents

Step-by-step explanation:

2) It took 3 people 4 hours to build a raft. How long would it take 6 people to build the same raft?

Answers

Answer:

2 hours

Step-by-step explanation:

Double the people, divide the hours by 2.

Answer:

8 hours.

Step-by-step explanation:

3:4=6:x

Y/11=8


PLEASE ASAP ....

Answers

Answer:

y=88

Step-by-step explanation:

88÷11=8

8x11=88

....

Answer:

Y=88

Have a nice day and drink water!

8^1/6 x 2^x= 32^1/2
Work out the exact value of x.

Answers

Answer:

8^1/6 x 2^x= 32^1/2

Step-by-step explanation:

1/6 x 2^x= 32^1/2

Calculus Application

2. A ladder 20 feet long leans a vertical building. If the bottom of the ladder slides away from the building
horizontally at a rate of 2 ft/sec, how fast is the ladder sliding down the building when the top of the
ladder is 12 feet above the ground?

Answers

Answer:

-8/3 ft/s

Step-by-step explanation:

We are given:

distance of the top of the ladder from the ground (h) = 12 ft

height of the ladder = 20 ft

rate of change of the distance of the base of ladder from the wall (dx/dt):

2 ft/s

Finding the distance of the base of the ladder from the wall:

From the Pythagoras's Theorem, we know that:

hypotenuse² = height² + base²

replacing the given values

20² = 12² + x²

400 = 144 + x²

x² = 256                            [subtracting 144 from both sides]

x = 16 ft                            [taking the square root of both sides]

The rate of change of the height of the Ladder from the ground:

We know that:

h = 12 ft

([tex]\frac{dh}{dt}[/tex]) = ?

x = 16 ft

([tex]\frac{dx}{dt}[/tex]) = 2 ft/s

According to the Pythagoras's Theorem:

20² = x² + h²

differentiating both sides with respect to time

[tex]\frac{d(400)}{dt} = \frac{d(x^{2} + h^{2})}{dt}[/tex]

[tex]0 = \frac{d(x^{2})}{dt} + \frac{d(h^{2})}{dt}[/tex]

[tex]0 = \frac{d(x^{2})}{dx}(\frac{dx}{dt}) + \frac{d(h^{2})}{dh}(\frac{dh}{dt})[/tex]

[tex]0 = 2x(\frac{dx}{dt}) + 2h(\frac{dh}{dt})[/tex]

replacing the variables

[tex]0 = 2(16)(2) + 2(12)(\frac{dh}{dt})[/tex]

[tex]0 = 64 + 32(\frac{dh}{dt})[/tex]

[tex]-64 =32(\frac{dh}{dt})[/tex]                                [subtracting 64 from both sides]

[tex]\frac{-64}{32} =(\frac{dh}{dt})[/tex]                                    [dividing both sides by 32]

[tex]\frac{dh}{dt} = \frac{-8}{3} ft/s[/tex]

Hence, the ladder will slide down at a speed of 8/3 feet per second

What is the slope function y=8x+6

Answers

8x is the slope .. 6 is the y-intercept

Which table does NOT represent a function? A) A)
B)
C)
D) ​

Answers

Answer:

D

Step-by-step explanation:

If a number on the x side repeats then its automaticaly not a function.

D
Got it right on my TEST

If f(x)=2x-3 find the following
f(7)=
f(-2)=
f(-4)=

Answers

Step-by-step explanation:

f(x)=2x-3

now,

f(7)=2× 7-3

=14-3

=11

f(-2)='-2×7-3

= -14-3

b= -17

f(-4)= -4×7-3

= -28-3

= -31

The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given,

f(x)=2x-3

f(7) so put x = 7

f(7) = 2(7) - 3

f(7) = 11

Now,

f(-2) so put x = -2

f(-2) = -2×7-3

f(-2) = -17

Now,

f(-4) so put x = -4

f(-4)= -4×7-3

f(-4) = -31

Hence,The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.

For more about the function,

brainly.com/question/23712366

#SPJ2

12 times x tell me sponge

Answers

Answer: 12x

Step-by-step explanation:

Answer:

12x

Step-by-step explanation:

does not make sense
u5iu42yufyuerhsdufghrshgbfyudirhuigrdyvfuthrdug

Answers

Huhhhhhhhhhh???????????

Answer:

my life doesn't make sense

Step-by-step explanation:

factoring expression using GCF of 84+28

Answers

Answer:

The answer to yours is incorrect the answer is 112.

Step-by-step explanation:

Answer:

the answer would be 28(3+1).

Step-by-step explanation:

first you would try to find the GCF of the two numbers, which is 28. to find this you need to divide the two numbers by the GCF, which may take a few tries. then you would have to divide those two numbers by the GCF. your answer should look like this: 28(3+1)

What is the rate of change ? Please help!

Answers

Answer:

It is 1000

Step-by-step explanation:

To find the unit rate, we divide y/x. In this case our y is the height (ft) and the x is the time(min).

If we divide 1000/1, we get 1000

If we divide 2000/2, we get 1000

and so on...

Hope it helps :^)

what is the value of y in the solution to the system of equations?
4x-2y=5
y=3x-1

Answers

Answer:

-5.5

How I solved it:

A helpful website that I use is called Desmos. It makes the graph for you.

Just type in your equation and it is good to go. My teacher showed it to me so you know that it is good.

Please help me im having trouble answering this question

Answers

Answer:

I'm not 100 percent sure but I think the area is 12.

Finish the distance formula. | P 1 P 2 | = d =

Answers

Answer:

d=2P^2

Step-by-step explanation:

Answer:

sqrt  (x2 - x1)^2 + (y2 - y1)^2


Please get back to ASAP I really need help with this

Mrs. Hopkins made four different pies for Thanksgiving dinner at her house. Each pie was the same size.
She cut the blueberry pie into 6 equal slices, the apple pie into 5 equal slices, the peach pie into 3 equal
slices, and the chocolate pie into 4 equal slices.
Her grandchildren. Alyssa, Bobby, Caitlin, and Dylan, each had one slice of pie but only ate a portion of
that slice. Each grandchild chose a different kind of pie.
Alyssa had the largest slice available and ate 1/4 of it
Bobby had the smallest slice available and ate 3/4 of it.
(The slice Caitlin had was larger than the slice Dylan had.)
Caitlin ate 1/2 of her slice.
• Dylan ate 2/3 of his slice.

What kind of pie did each person choose? And what fraction of the total pie did each person eat?

Answers

Answer:

Step-by-step explanation:

45 1/3 x 8 1/9 = m
m = ?
If you answer I will rate you 5 stars. Thank you!

Answers

Answer:

367 19/27

Step-by-step explanation:

Use symbolab bruv, its easy.


I hope you can see it
Can someone help me ty

Answers

i believe the answer is b

this is because pemdas calls for multiplication before subtraction

answer choice one shows 1 - (4x3)
answer choice two shows (4x3) - 1
answer choice three shows 4 + 3 - 1
answer choice four shows 4(3-1)

hopes this helps!

If 1/4 gallon of paint covers 1/16 of a wall, what is the amount needed to paint the entire wall?

Answers

Answer:

4 gallons

Step-by-step explanation:

if 1/4 a gallon is 1/16 of the wall that means 1 gallon is 4/16 of the wall plus another gallon that's 8/16 of the wall plus 2 more gallons that's 16/16 (the whole wall is complete) of the wall

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