A fair 66-sided die is rolled 77 times and the resulting sequence of 77 numbers is recorded. A) How many different sequences are possible?B) How many different sequences consist entirely of even numbers? C) How many different sequences are possible if the first, third, and fourth numbers must be the same? D) How many sequences are there where every number is different? E) How many sequences are there where there are at least two numbers that are the same?

Answer:

The deposit required is $6633.62   and the interest earned is $366.38

Step-by-step explanation:

Compound interest occurs when the interest earned is reinvested rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

It's given the final amount A=$7700 after t=3 years of investment in an account that pays an APR of r=5%=0.05. Since the interests compound quarterly and there are 4 quarters in a year, then n=4.

To find the principal P, we solve the previous equation for P as follows:

[tex]{\displaystyle P=A\left(1+{\frac {r}{n}}\right)^{-nt}}[/tex]

Substituting:

[tex]{\displaystyle P=7700\left(1+{\frac {0.05}{4}}\right)^{-4\cdot 3}}[/tex]

[tex]{\displaystyle P=7700\left(1+0.0125}\right)^{-12}}[/tex]

P=$6633.62  

The interest earned is:

I = A - P = $7700 - $6633.62 = $366.38

The deposit required is $6633.62   and the interest earned is $366.38

Answer:

$568.95

Step-by-step explanation:

Given parameters:

Value of loan  = $18965

Interest rate  = 3%

Time  = 1year

Unknown:

Interest = ?

Solution:

The interest on a particular amount is given as:

        I  = [tex]\frac{PRT}{100}[/tex]  

I is the interest

P is the principal

R is the rate

T is the time

       I  = [tex]\frac{18965 x 3 x 1}{100}[/tex]   = $568.95

Answer:

Don't have

Step-by-step explanation:

In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of thid, to the nearest tenth. Show your work with reasoning for each step.  stepstep

Answer:

i believe your answer would be 21,765

Step-by-step explanation:

since there are 1000 grams in a kilogram the equation would be 4353÷.200

Answer: b=6

Step-by-step explanation:

I hope this helps on edge

To make the system have an infinite number of solutions, the value of b can be any real number.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

For the system to have an infinite number of solutions, the two equations must be dependent, which means that one of the equations can be obtained by a linear combination of the other two equations.

So,

Let's rearrange the given equations into the slope-intercept form:

y = 6x - b _____(1)

3x + 12y = -3 ______(2)

-3x + y = -3 ______(3)

From equation (3),

y = 3x - 3 _______(4)

Now,

We can see that equation (1) is a multiple of equation (4) with a slope of 6/3 = 2.

Specifically, equation (1) can be obtained by multiplying equation (4) by 2 and then subtracting b from both sides.

So,

2(3x - 3) - b = 6x - b

Simplifying this expression.

6x - b = 6x - b

Since this equation is true for any value of x and b, we have an infinite number of solutions.

Therefore,

To make the system have an infinite number of solutions, the value of b can be any real number.

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ7

Answer:

the first one and the last three

Step-by-step explanation:

that should be it.

================================================

Work Shown:

Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)

s^2 = x^2+y^2

s^2 = 15^2+20^2

s^2 = 225+400

s^2 = 625

s = sqrt(625)

s = 25

-----------

Now we can apply the derivative to both sides to get the following.  Don't forget to use the chain rule.

s^2 = x^2 + y^2

d/dt[s^2] = d/dt[x^2 + y^2]

d/dt[s^2] = d/dt[x^2] + d/dt[y^2]

2s*ds/dt = 2x*dx/dt + 2y*dy/dt

2(25)*ds/dt = 2(15)*5 + 2(20)*(10)

50*ds/dt = 150 + 400

50*ds/dt = 550

ds/dt = 550/50

ds/dt = 11

-----------

Side note: The information t = 40 is never used. It's just extra info.

Answer:

B

Step-by-step explanation:

I am learning this now and I used the equation I'm learning and I got 294.

Answer:

d

Step-by-step explanation:

Hi

You have two points     A ( X;Y)  and B ( X ; Y)

slope is   :    ( Yb -Ya)   / (Xb -Xa )

                     ( -8 - 6 ) / ( -4 - 3) =   -14 /-7 =  2

slope is   2  

now :  we have  :  2 ( 3) +...  = 6

                                 6 +0 = 6  

equation of  line   is  :   y = 2x  

Answer:

B. 63 degrees

Step-by-step explanation:

Its the same angle as the one above it.

I hope this helps :)

Have a nice day!

Answer:

B

Step-by-step explanation:

If lines AB and CD are parallel, then angle h is equal to 63 degrees

Answer:

Step-by-step explanation:

Answer: The answer is log₅(p)¹/³(p+5).

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer: C. Mr Chavez increased both his assets and net worth

Step-by-step explanation: edgenu 2021

Answer:

B.He did not add the corresponding parts of the complex numbers.

Step-by-step explanation:

A mid point is a point that is of equal distance to two reference points.

Given: Find the midpoint of 5+(-3)i and 12+7i.

These expressions have two parts: the value and complex number parts.

Thus the addition ought to have been;

 (5+(-3i)) + (12+7i) = (5 - 3i) + (12 + 7i)

                            = (5 + 12) + (-3i + 7i)

                            = 17 + 4i

The midpoint can be determined as:

                        [tex]\frac{(17 +4i)}{2}[/tex]

Thus it can be observed that Raul did not add the corresponding parts of the complex numbers.

Answer:

bbbbbbbbb

Step-by-step explanation:

Answer:

Step-by-step explanation:

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

x=21

Step-by-step explanation:

• 8x - 7 = 9x - 28

(group like terms)

• 8x - 9x = -28 + 7

• -1x = - 21

(negative cancels out)

• x = 21

Answer:

15,17,19

Step-by-step explanation:

assume the first number is X which means the third number will be X+4 so X+ X+4=34

solve for X which will be 15

thus the numbers are 15,17 and 19

The answer is 0.7%

Hope this helped!

Answer:

0.6%

Step-by-step explanation:

Percentage = 24/4000 *100

=0.6%

Answer: 0, 1, -3

Step-by-step explanation:

f(x) = x^3 +2x^2 -3x

f(x) = x(x^2 +2x-3)

f(x) = x(x-1)(x+3)

to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3

Answer and Step-by-step explanation: The critical value for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.

Each sample has a different degree of freedom and critical value.

To determine critical value:

1) Calculate degree of freedom: df = n - 1

2) Subtract the level per 100%;

3) Divide the result by 2 tails;

4) Use calculator or table to find the critical value t*;

For n = 5 Level = 90%:

df = 4

t = [tex]\frac{1-0.9}{2}[/tex] = 0.05

Using t-table:

t* = 2.132

n = 13 Level = 95%:

df = 12

t = [tex]\frac{1-0.95}{2}[/tex] = 0.025

Then:

t* = 2.160

n = 22 Level = 98%

df = 21

t = [tex]\frac{1-0.98}{2}[/tex] = 0.01

t* = 2.819

n = 15 Level = 99%

df = 14

t = [tex]\frac{1-0.99}{2}[/tex] = 0.005

t* = 2.977

The critical values and degree of freedom are:

sample size          level           df              critical value

     5                      90%           4                   2.132

   13                       95%            12                 2.160

   22                      98%            21                 2.819

   15                       99%            14                 2.977

Answer:

What’s the problem? If you could attach the problem we can help u out!

Step-by-step explanation:

Answer:

either A&C of B&C

Step-by-step explanation:

why i think that is because perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°). and both A&C of B&C are (90°).

Answer:

4

Step-by-step explanation:

Slope is [tex]\frac{rise}{run}[/tex]. Or, in other words the distance it travels in the y direction divided by the distance it travels in the x direction. Each time the y variable increments +4 and the x variable increments +1. Which means the line rises 4 units every time it runs 1 unit.

Slope=[tex]\frac{rise}{run}=\frac{4}{1}=4[/tex]

Answer:

The ratio of their volumes is not the same 4:1, but [tex](4:1)^3[/tex] = 64:1.

Step-by-step explanation:

Measurements in Similar Figures

In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the other corresponding lengths can also be expressed as a:b.

In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the areas can be expressed as (a:b)^2 and the ratio of the volumes can be expressed as (a:b)^3.

We are given the ratio of the sides of two similar prisms as 4:1. The ratio of their volumes is not the same 4:1, but [tex]\mathbf{(4:1)^3}[/tex] = 64:1.

Answer:

he will make 170.80 that day

Step-by-step explanation:

12.20*1.75*8

Answer:

good question................

Euler's formula immediately gives

[tex]8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8[/tex]

and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.