can someone help. im really confused

There are 19 zeros between the decimal point and the first nonzero digit in the expansion of \((2/3)^{30}\).

To find the number of zeros between the decimal point and the first nonzero digit in the expansion of \((2/3)^{30}\), we can calculate the actual value of the expression.

\((2/3)^{30}\) can be simplified as follows:

\((2/3)^{30}\) = \((2^{30}) / (3^{30})\)

Calculating the numerator (\(2^{30}\)) and the denominator (\(3^{30}\)):

Numerator: \(2^{30}\) = 1,073,741,824

Denominator: \(3^{30}\) = 2,058,911,320,946,486,981

Now, let's express \((2/3)^{30}\) as a decimal number:

\((2/3)^{30}\) = 1,073,741,824 / 2,058,911,320,946,486,981 ≈ 0.0000000000000000000005201...

In this case, there are 19 zeros between the decimal point and the first nonzero digit (5).

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a. The average daily balance is $6,696.67, finance charge is $115.59 and new balance is $6,812.26.

b. The average daily balance is $7,039.34, finance charge is $121.50 and the new balance is $7,160.84.

Average Daily Balance:

September 20 - October 1: $4,100

October 2 - October 19: $4,100

Average Daily Balance = (30 * $4,100 + 19 * $4,100) / 30

Average Daily Balance = $6,696.66667

Average Daily Balance = $6,696.67

Finance Charge:

Finance Charge = ($6,696.67) * (0.21) * (30) / (365)

Finance Charge = 115.586359

Finance Charge = $115.59

New Balance = Previous Balance + Finance Charge

New Balance = $6,696.67 + $115.59

New Balance = $6,812.26

Average Daily Balance:

October 20 - November 10: $6,812.26

November 11 - November 19: $6,812.26

Average Daily Balance = (22 * $6,812.26 + 9 * $6,812.26) / 30

Average Daily Balance = $7,039.33533

Average Daily Balance = $7,039.34

Finance Charge = ($$7,039.34) * (0.21) * (30) / (365)

Finance Charge = 121.500937

Finance Charge = $121.50

New Balance = Previous Balance + Finance Charge

New Balance = $7,039.34 + $121.50

New Balance = $7,160.84

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The answers are:

(a) Average daily balance: $4,080.67, finance charge: $71.42, new balance: $8,212.09

(b) Average daily balance: $8,189.23, finance charge: $143.28, new balance: $16,505.60

(c) Average daily balance: $16,485.20, finance charge: $288.04, new balance: $32,239.84

To solve these problems, we need to calculate the average daily balance, finance charge, and new balance for each billing period.

(a) September 20 through October 19 billing period:

Average Daily Balance = (Balance * Number of Days) / Number of Days in the Billing Period

Since you make the minimum required payment of $39 on October 1, we need to consider the remaining balance from September 20 to September 30.

Remaining balance from September 20 to September 30

= $4,100 - $39 = $4,061

Average Daily Balance = ($4,061 * 10 + $4,100 * 20) / 30 = $4,080.67

Finance Charge = Average Daily Balance * Monthly Interest Rate

Monthly Interest Rate = Annual Interest Rate / 12 = 21% / 12 = 0.0175

Finance Charge = $4,080.67 * 0.0175 = $71.42

New Balance = Average Daily Balance + Finance Charge + Remaining Balance

Remaining Balance = $4,100 - $39 = $4,061

New Balance = $4,080.67 + $71.42 + $4,061 = $8,212.09

(b) October 20 through November 19 billing period:

Average Daily Balance = (Balance * Number of Days) / Number of Days in the Billing Period

Since you make the minimum required payment of $39 on November 11, we need to consider the remaining balance from October 20 to November 10.

Remaining balance from October 20 to November 10 = $8,212.09 - $39 = $8,173.09

Average Daily Balance = ($8,173.09 * 21 + $8,212.09 * 10) / 31 = $8,189.23

Finance Charge = Average Daily Balance * Monthly Interest Rate

Finance Charge = $8,189.23 * 0.0175 = $143.28

New Balance = Average Daily Balance + Finance Charge + Remaining Balance

Remaining Balance = $8,212.09 - $39 = $8,173.09

New Balance = $8,189.23 + $143.28 + $8,173.09 = $16,505.60

(c) November 20 through December 19 billing period:

Average Daily Balance = (Balance * Number of Days) / Number of Days in the Billing Period

Since you make the minimum required payment of $39 on November 30, we need to consider the remaining balance from November 20 to November 29.

Remaining balance from November 20 to November 29 = $16,505.60 - $39 = $16,466.60

Average Daily Balance = ($16,466.60 * 10 + $16,505.60 * 20) / 30 = $16,485.20

Finance Charge = Average Daily Balance * Monthly Interest Rate

Finance Charge = $16,485.20 * 0.0175 = $288.04

New Balance = Average Daily Balance + Finance Charge + Remaining Balance

Remaining Balance = $16,505.60 - $39 = $16,466.60

New Balance = $16,485.20 + $288.04 + $16,466.60 = $32,239.84

Therefore, the answers are:

(a) Average daily balance: $4,080.67, finance charge: $71.42, new balance: $8,212.09

(b) Average daily balance: $8,189.23, finance charge: $143.28, new balance: $16,505.60

(c) Average daily balance: $16,485.20, finance charge: $288.04, new balance: $32,239.84

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Answer:

x = 42º

Step-by-step explanation:

We know that m < UVY is equal to 84º (Given)

We know that < UVY = < SVW (Vertical Angles Theorem)

By substituting in the known values for the anges, we know that:

< UVY = < SVW

84º = 2x

Simplify the equation by dividing by 2 on both sides.

x = 42º

Hope this helps! Let me know if you have any questions!

Solution given:

<UVY=2x[vertically oppisite anglle]

x=84/2=42° is your answer

Answer:

First consider the original amount.

Then consider the rate of tax or markup

To find the tax or markup, multiply the rate by the original amount.

To find the total cost, add the tax or markup to the original amount.

Step-by-step explanation:

Example

A phone has a listed price of $790 before tax. If the sales tax rate is 6.5% find the total cost of the phone with sales tax included. Round your answer to the nearest cent as required.

Solution

Step 1:

List price of the phone = $790

Sales tax rate = 6.5%

Step 2:

Sales tax = 6.5% of 790=0.065×790=51.35

Step 3:

Total cost of phone including sale tax = list price + sales tax

= 790+51.35

= $841.35

hope this helped!

a) The year will not have 53 Fridays regardless of whether or not it is a leap year.

b) The Doomsday Rule represents the sequence of the days in the year that are Fridays

c) A normal 365-day year consists of 52 weeks.

In this question, we have been given the first Friday of a new year is the fourth day of that year.

We need to check whether the year will have 53 Fridays regardless of whether or not it is a leap year.

The number of days in non-leap year= 365

As the first Friday of a new year is the fourth day of that year, the remaining days = 361

To fond the number of fridays in 361 days we perform an arithemtic operation:

361/7 = 51

So, there are 52 Fridays in a 365-day year.

The number of days in the leap year= 366

As the first Friday of a new year is the fourth day of that year, the remaining days = 362

So, there would be 362/7 = 51 fridays

Thus, the year will not have 53 Fridays regardless of whether or not it is a leap year.

The Doomsday Rule represents the sequence of the days in the year that are Fridays

A normal 365-day year consists of 52 weeks.

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To solve the BVP using finite difference approximations with a step size of 1/3, perform three iterations. The resulting approximate solution satisfies the BVP d²u/dx² = 3u²/2, u(0)=4, u(1)=1.  

To solve the given boundary value problem (BVP) using finite difference approximations with a step size of 1/3, we'll divide the interval [0, 1] into four subintervals with equally spaced points at x = 0, 1/3, 2/3, and 1.

Let's denote u(0) as u₀, u(1/3) as u₁, u(2/3) as u₂, and u(1) as u₃.

At the interior points, the finite difference approximation for the second derivative can be written as follows:

At x = 1/3:

(u₂ - 2u₁ + u₀) / (1/3)² = (3/2) * u₁²

At x = 2/3:

(u₃ - 2u₂ + u₁) / (1/3)² = (3/2) * u₂²

We also have the boundary conditions:

u₀ = 4 (from u(0) = 4)

u₃ = 1 (from u(1) = 1)

Using these equations, we can set up a system of linear equations and solve it iteratively.

First iteration:

Substituting the boundary conditions:

u₀ = 4

u₃ = 1

At x = 1/3:

(u₂ - 2u₁ + 4) / (1/3)² = (3/2) * u₁²

At x = 2/3:

(1 - 2u₂ + u₁) / (1/3)² = (3/2) * u₂²

Solving this system of linear equations, we obtain the values of u_1 and u₂.

Second iteration:

Using the values of u₁ and u₂ obtained from the first iteration, substitute them into the equations and solve for new values of u₁ and u₂.

Third iteration:

Repeat the process using the updated values of u_1 and u_2 to obtain the final values.

Performing these three iterations will give an approximate solution to the given BVP using finite difference approximations with a step size of 1/3.

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--The given question is incomplete, the complete question is given below " Solve the following BVP using finite difference approximations with the step-size 1/3

d²u/dx² = 3u²/2

u(0)=4,u(1)=1 Perform at least three iterations."--

​

Set theory is a branch of mathematics that deals with the study of sets, which are collections of objects. A subset is a set that contains only elements that belong to a larger set, called the universal set. In this context, let S, T, X, and Y be subsets of some universal set.

Assuming that S [T X [Y, we can conclude that if a belongs to T, then a belongs to S or a belongs to X or a belongs to Y. This is because T is a subset of S [T X [Y, and any element in T must belong to at least one of these sets.

Assuming that S \T D, we can conclude that if a belongs to T, then a does not belong to S. This is because S \T is the set of elements that belong to S but not to T, and D is the empty set, meaning that there are no elements in the set. Therefore, if a belongs to T, it cannot belong to S \T, and so it must not belong to S.

Assuming that X S, we can use all three assumptions to prove that T Y. Suppose that a belongs to T. Then, using assumption (i), we know that a belongs to S or a belongs to X or a belongs to Y. But since a cannot belong to S (using assumption (ii)), we must have either a belongs to X or a belongs to Y. But since X is a subset of S (using assumption (iii)), we know that if a belongs to X, then a belongs to S. Therefore, we must have a belongs to Y. This holds for any element a in T, so we can conclude that T Y.

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Answer:

0.3 ft  DISCLAIMER

Step-by-step explanation:

DISCLAIMER: I am not 100% sure if I am correct.  I think I am but there is a chance I am not.  I just thought ONE answer would be better than none.  Feel free to disregard this if you don't want to try.

If you multiply the starting height (4.5 ft.) by .73 (73%) then you would get the second bounce.  I just did that until I got to the 10th bounce and rounded it to the nearest tenth which ended up being 0.3

Hey, I'd love to help but where's the slope?

Answer:

The person with the larger value means they are moving at a higher acceleration

Step-by-step explanation:

Renee: 10 miles / 105 minutes = 0.095 mi/min

Amy: 8 miles / 90 minutes = 0.088 mi / min

Quinn buys = \({ \red{ \sf{51/3}}}\) cup of flour = \({ \red{ \sf{17}}}\) cups

he uses = \({ \red{ \sf{3.25}}}\) cups

Flour left = 17 - 3.25

= \({ \red{\boxed{ \sf{13.75 \: cups \: left}}}}\)

Number of cups of flour that is left over is given by the fraction A = 2 1/12 cups of flour

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the number of cups of flour left over be represented as fraction A

Now , the equation will be

Let the total number of cups of flour with Quinn = 5 1/3 cups

And , the number of cups of flour used to bake a cake = 3.25 cups

The number of cups of flour used to bake a cake = 3 1/4 cups

So , the remaining number of cups of flour is A = total number of cups of flour with Quinn - number of cups of flour used to bake a cake

Substituting the values in the equation , we get

The remaining number of cups of flour is A = 5 1/3 - 3 1/4

Now , the fractions are simplified as

A = 16/3 - 13/4

A =  25/12

And , the fraction is A = 2 1/12 cups of flour

Hence , the number of cups of flour is A = 2 1/12 cups of flour

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a function is a rule that assigns each value of the variable to exactly one value of the dependent variable

The probability that both are big bombs is 19/30 or 0.63 if the renting Car's Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Renting Cars Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

Total number of outcomes = C(25, 2) = 300

Total number of favorable outcomes = C(20, 2) = 190

Probability = 190/300 = 19/30 or

= 0.63

Thus, the probability that both are big bombs is 19/30 or 0.63 if the renting Car's Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

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Answer:

a.2010 rad/min

b.2412 feet/min

Step-by-step explanation:

We are given that

Diameter of wheel,d=2.4 feet

Radius,r=

a.Rate=320 rev/minute

1 rev= radian

320 rev/minute=

Where  

Angular speed=

b.Speed,v=

Step-by-step explanation:

Answer:

She did not subtract 10 and 9 correctly. she did not rename correctly.

Step-by-step explanation:

your welcome :) hehe

Answer:

Step-by-step explanation:

It's correct look at the pic

Answer:

You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.

Step-by-step explanation:

Hope this helps!

Brainliest please!

Answer:

y/x = 1.57

Step-by-step explanation

Y=kx

k=$1.57

y=1.57x

divid by x

y/x=1.57

The difference between the amount earned and the amount spent will be $ 1.57 per square ft.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running or creating anything.

Saleem is a landscape architect.

When he creates a lawn, his supplier charges $.43 per square foot for sod.

Saleem charges his customers $2.00 per square foot to lay the sod.

The profit Saleem makes when creating a lawn varies directly as the number of square feet of sod.

Then the profit will be

Profit = 2 - 0.43

Profit = $ 1.57 per square foot

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Answer:

is saying the half of q is 9 so you have to find out the value of q and when you find out the value for example x=18 the half of 18 is 9 I don't know if you undertand my explication

Step-by-step explanation:

18 the half of 18 is 9 because 9+9=18

The distance between points  (-3,-4) and (2,8) is 13.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees, or it follows Pythagoreans theorem.

The horizontal distance = 5

And the vertical distance = 12

The vertical and horizontal lines make a right angle when they meet,

To find distance between points, use Pythagoreans theorem,

(D)² = (5)²+(12)²

(D)² = 25 + 144

(D)² = 169

D = 13

The distance between points  (-3,-4) and (2,8) is 13.

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Answer:

x = 280/17 = 16.471

Step-by-step explanation:

Answer:

(x - 8)(x + 3)

Step-by-step explanation:

x² - 5x - 24

Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)

The factors are - 8 and + 3 , since

- 8 × + 3 = - 24 and - 8 + 3 = - 5

Use these factors to split the x- term

x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )

= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term

= (x - 8)(x + 3) ← in factored form

Hey

here's ur answer ⤵️

Answer= 105

Step-by-step explanation:

The minimum value in a class is it's lower limit and the maximum value in a class is the upper limit. The given class is 90-120. So, the lower limit of this class is 90 and the upper limit is 120

Hence, the class mark of this class is 90-120= 105.

Hope it helps ✌

Answer:

blue is about 31.4

Step-by-step explanation:

orange is about 15.7

The complement rule states that the probability of an event occurring is equal to one minus the probability of the event not occurring. The probability of at least one individual having myopia is 1 - (1-p)^3.

To calculate the probability that at least one out of three randomly selected individuals suffers from myopia, we can use the complement rule. The complement rule states that the probability of an event occurring is equal to one minus the probability of the event not occurring.
So, let's first find the probability that none of the three individuals suffer from myopia. Assuming that the probability of an individual having myopia is p, the probability that one individual does not have myopia is (1-p). Therefore, the probability that all three individuals do not have myopia is (1-p)^3.
Now, we can use the complement rule to find the probability that at least one individual has myopia. The complement of none of the three individuals having myopia is at least one individual having myopia. So, the probability of at least one individual having myopia is 1 - (1-p)^3.
Therefore, the probability that at least one out of three randomly selected individuals suffers from myopia is 1 - (1-p)^3.
To determine the probability that at least one person out of three randomly selected individuals suffers from myopia, we can use the complementary probability method. First, we need to know the probability of an individual not having myopia (P(not myopia)). Assuming P(myopia) is the probability of having myopia, we can calculate P(not myopia) as 1 - P(myopia).
Next, we find the probability that all three individuals do not have myopia, which is the product of their individual probabilities: P(all not myopia) = P(not myopia) * P(not myopia) * P(not myopia).
Finally, we calculate the complementary probability, which is the probability that at least one person has myopia: P(at least one myopia) = 1 - P(all not myopia).
Remember to use the actual probability of myopia (P(myopia)) in the calculations to find the correct answer.

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Answer:

when s = -3, the expression is equal to 10.

we substitute s in the equation

(-3+-7)/-1

-3+-7 is -3-7

which is...-10

-10/-1 = 10! why? negative divided by negative is a positive!

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

−3−7/1

​ -10/1  

−10  

The statements that are true regarding function S are:

What is function?

In mathematics, a function is a rule or a relationship between two sets of values, which associates each element of the first set (called the domain) with a unique element of the second set (called the range). The domain and range can be any sets, including numbers, letters, or other objects.

The statements that are true regarding function S are:

The other statements are not necessarily true:

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Answer:

$1917.60

Step-by-step explanation:

Interest = Principal x Rate x Time

103.55 = (.05)(13/12)P

103.55 = .054P

P = 1917.60