Bernie deposited $30,000 in a savings account with simple interest. One year later, he had earned $3,300 in interest. What was the interest rate?

0 is a natural number, which is an example of an axiom. Another example of the axiom is there is always a single line that connects any two distinct places. The theorem example includes Pythagoras' theorem which is proved to be true.

What is a theorem postulate and theorem?

A mathematical axiom is a statement that, in the absence of evidence, is taken to be true. A theorem in mathematics is a statement that is believed to be true and right and is known as an axiom or postulate. These are general truths that are accepted by all. Axiom and postulate are essentially synonyms in geometry. Propositions that were "clearly true" in antiquity just needed to be stated, not demonstrated and were referred to as such. Axioms are no longer assumed to be "clearly true" in modern mathematics. Simply put, axioms are "background" presumptions we hold.

A mathematical assertion that has been rationally established and proven to be true is called a theorem. A theorem is an axiom's logical conclusion. The "propositions" in geometry are all theorems that are derived from axioms and legitimate rules.

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The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.

Emma spent $17.98 on 2 dozen bagels. The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.What are dozen bagels?A dozen bagels are 12 bagels. If Emma bought 2 dozen bagels, it means she bought 24 bagels. If you want to know the cost of one bagel, you can divide the total cost by the number of bagels she bought. So the cost of one bagel can be given by the equation;`Total cost of bagels / number of bagels bought = cost per bagel`Let us now use the given options to see which one of them represents the above equation.A. 17.98d = 2Here, we have the total cost multiplied by the cost per bagel which doesn't make sense.B. 17.98 + d = 2We can see that this equation does not have any terms to represent the number of bagels bought, it only has the total cost and the cost per dozen bagels.D. 2 + d = 17.98We can see that this equation does not have any terms to represent the total cost or the number of bagels bought. Hence it cannot represent the given situation.C. 2d = 17.98Here, we have the number of bagels multiplied by the cost per bagel to give us the total cost, which is what we need. Therefore the equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.

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The speaking turn, the adjacency pair, and the sequential implicativeness are the three fundamental components of conversation that conversation analysts identify.

The three essential elements of conversation that conversation analysts identify are the speaking turn, the adjacency pair, and the sequential implicativeness.

Mary: Hello! Mary is my name.

Andrew: Hey Mary I'm Andrew, and how are you? Nice to meet you.

Mary: Thank you; I just arrived from Memphis; I'm OK. , From where do you hail?

Andrew: You are a Memphis native? I'm a Cleveland native; is this also your first day of classes?

Mary: Indeed! I recently met someone from Cleveland at the front desk, and I'm a freshman.

Andrew: Really...? I don't know many Clevelanders who come here.

Clarissa is there, Mary, there she is! Let me introduce you to my pal, please come over!

Clarissa was undoubtedly a student of mine in high school, Andrew

Oh, Clarissa Hello Andrew Hey Mary Are you prepared for the semester to begin?

Mary: Obviously!

Andrew: I can't even find my dorm room, so not really.

The complete question is:

Write a conversation between two students who are meeting for the first time. Have them greet each other, ask each other how they are doing, ask each other where they are from, introduce a third person and say goodbye.

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Answer:

The equation is y=6x

Y

Step-by-step explanation:

Since x = 8, you would need to plug in 8 into the x.

f(x) = 6x - 4

f(x) = 6(8) - 4

f(x) = 48 - 4

f(x) = 44

So, the correct answer would be C. 44

Answer: 18 inches

Step-by-step explanation:

2 x 6 = 12 inches (wide)

3 x 6 = 18 inches (tall)

Answer:

91 days

Step-by-step explanation:

Given that,

A planet is at a distance of 98,000,000 km from the centre of the star.

It orbits at an average speed of 45,000 km/h.

The speed of an object is given by the distance covered divided by the time taken. So,

\(v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{98,000,000}{45,000}\\\\t= $$2177.77\ h\)

or

t = 90.74 days ≅ 91 days

So, the planet take 91 days to orbit the star.

Answer:

Area of the circular sidewalk = 405 m²

Step-by-step explanation:

Radius of the circular flower bed = 20 m

Area of the circular bed = πr²

Here r = radius of the circle

Area of the circular bed = π(20)²

                                        = 400π square meter

Radius of the larger circle = Radius of the flower bed + width of the sidewalk

= 20 + 3

= 23 m

Area of the larger circle = π(23)²

                                        = 529π m²

Area of the circular sidewalk = Area of the larger circle - Area of the flower bed

                                         = 529π - 400π

                                         = 129π

                                         = 129(3.14)

                                         = 405.06 square meters

                                         ≈ 405 square meters

Answer:

y=0.5x+8

Step-by-step explanation:

The slope is 0.5 so y=0.5x. We can plug in the point to the equation and we get 8=0(0.5)+b or 8=0+b. b=8 so the equation is y=0.5x+8

According to the given information, the random variable B represents the number of residents who are at least 25 years old and have a bachelor’s degree out of the sample of 50 residents selected randomly.

To find the probability that B will equal 40, we will use the formula for the binomial distribution which is given as:P(B = k) = (nCk) * p^k * q^(n-k)Where,Binomial probability is denoted by P.B is the random variable whose value we have to find.n is the number of independent trials.k is the number of successful trials.p is the probability of success.q is the probability of failure.nCk is the number of combinations of n things taken k at a time.

Now, let's substitute the given values in the formula:P(B = 40) = (50C40) * 0.69^40 * (1-0.69)^(50-40)Now,50C40 = (50!)/(40! * (50-40)!)50C40 = 1144130400/8472886094430.69^40 = 2.4483 × 10^(-7)(1-0.69)^(50-40) = 0.0904Substituting all the given values we get:P(B = 40) = (1144130400/847288609443) * 2.4483 × 10^(-7) * 0.0904P(B = 40) = 0.0343Therefore, the probability that B will equal 40 is 0.0343.

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21/10 divided by 2 4/5 represents the time spent on a shift

The given parameters are

Time = 21/10

Shifts = 2 4/5

This means that:

21/10 divided by 2 4/5 represents:

Time/Shift

i.e. time per shift

Hence, 21/10 divided by 2 4/5 represents the time spent on a shift

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Answer:

the lenght on each sift

Step-by-step explanation:

Yes, it would be a scalene triangle. This can happen.

The Triangle sides have to be greater than c.

a+b > c

With the given inches, substitute it into the equations:

a = 3 in

b = 5 in

c = 9 in

3 + 5 > 9

Solve.

9 > 9

This is False since because a + b is not > c. a + b is equal to c.

Answer:

\(a) \left(4c-a\right)\times\left(4c+a\right)\)

\(=\left(4c\right)^2-a^2\)

\(=16c^2-a^2\)

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

\(b) (4x-3)\times(6x+1)\)

\(=4x\times \:6x+4x\times \:1+\left(-3\right)\times \:6x+\left(-3\right)\times \:1\)

\(=4\times \:6xx+4\times \:1\times \:x-3\times \:6x-3\times \:1\)

\(=24x^2-14x-3\)

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

\(c)(x-y)\times(x^2+5y)\)

\(xx^2+x\times \:5y+\left(-y\right)x^2+\left(-y\right)\times \:5y\)

\(=x^2x+5xy-x^2y-5yy\)

\(=x^3+5xy-x^2y-5y^2\)

OAmalOHopeO

the answer is 142.24 cm

Answer:

142.24 centimeters tall

Step-by-step explanation:

Can you mark me brainliest

Answer:

$3200

Step-by-step explanation:

First divide 40,000 by 100, which givse you 400

Now multiply the 400 by 8, which mulitplies to 3200.

Answer:

8% as a decimal is .08

simply multiply the 40,000 by .08.

40000 x .08= 3200

Answer:

77

Step-by-step explanation:

3+2*49-24

3+98-24

101-24

77

Good luck

Answer:

77

Step-by-step explanation

3+2X7^2-4X6

First complete the exponent

3+2X49-4X6

Then multiply

3+2X49-24

Multiply

3+98-24

Calculate the rest of the equation

101-24=77

Therefore the answer is 77.

Please don't be mad if this is incorrect

Also the x's are multiplication symbols and NOT variables

The probability that a card drawn randomly from a standard deck of 52 cards is a black six is 1/26 in its lowest terms.

A probability is a numerical value that represents the possibility of an event occurring. It's a likelihood or chance of an event happening.

The formula for probability is:

P (A) = number of favorable outcomes/total number of outcomes

The probability of drawing a black six from a standard deck of 52 cards is 1/26. There are 52 cards in a standard deck, which are evenly divided into four suits of 13 cards each: hearts, diamonds, clubs, and spades. Each suit contains cards numbered 2 through 10, as well as four face cards: jack, queen, king, and ace. Only two of these cards, namely the six of clubs and the six of spades, are black sixes.

There are four suits in a standard deck, each with a six. As a result, there are 4 x 1 = 4 ways to select a six card. There are 52 cards in a deck, so the probability of drawing a black six is:

1/52 × 4= 1/13

There is only one black six in each suit, therefore there are two black sixes in a deck. Since there are 52 cards in a deck and two black sixes, the probability of drawing a black six is 2/52, which simplifies to 1/26 in its lowest terms.

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The equation of the given information is y(x) = 5x+10

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between.

Given that cost of renting for different numbers of hours.

The initial cost, regardless of time, is; $10. then the cost will increase at a rate of $5 per hour that the boat is rented.

Therefore, the cost (y) of renting a paddle boat for 'x' hours is:

y(x) = 5x+10

here linear relationship between x and y, where 5 is the slope of the equation, 10 is the y-intercept, the number of hours is the independent variable, and the cost is the dependent variable.

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Answer:

A

Step-by-step explanation:

A and B are the only answer choices that give you imaginary number outputs

But because the function in the answer choices is a negation of the original function they give different outputs, thus a different range

Therefore A is the correct answer

BRAINLIEST PLEASEEEEEEEE

Answer:

it is the first answer... has the same domain as  the function

Step-by-step explanation:

Answer:

Sorry but where r the questions

Step-by-step explanation:

Answer:

\(c = \pi d\)

circumference = pi * diameter

Answer:

c,b,d

Step-by-step explanation:

i took the test

Probability that at most 40 will get less than 40 seconds and at most 40 will get more than 40 seconds to solve the puzzle is 0.4961

Here data is uniformly distributed 0 to 100. So that probability of each and every unit P(X) is 1/100.

Mean = Sum of Observation x P(X)

Mean = 1 x 0.01 + 2 x 0.01 + 3 x 0.01.........100 x 0.01

Mean = 50.50

First we need to subtract the mean from each and every observation and then we need to take the square and multiply them with their respective probabilities and add all the results and take the square root. See the attached figure to know more about the formula.

S.D = \(\sqrt{((1-50.50)^2 + (2-50.50)^2 +.......(100-50.50)^2 )0.01}\)

S.D = 70.7

A sample size is large enough, we can use standard normal Z table.

Z = ( X - Mean) / S.D

Z = (50 - 50.5) / 70.7    

Z > 0.01

So, from Z table

P(Z > 0.01) = 0.4961

Hence, probability that at most 40 will get less than 40 seconds and at most 40 will get more than 40 seconds to solve the puzzle is 0.4960.

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Answer:

-\(\sqrt{45}\), -0.01234567, 0, \(\frac{7}{3}\), \(\sqrt[3]{27}\), \(\sqrt{15}\)

Step-by-step explanation:

just plug them into your calculator

The cumulative probability of obtaining a sample result will be approximately 0.0001

We have to apply Formula of Binomial Distribution:

P(X ≤ 168) = ΣP(X = i) for i = 0, 1, 2, .., 168, here in a sample of size n, P(X = i) is the probability of getting exactly i success

We assume that company's claim is true, 0.8 is the probability of success for each trial

P(X = i) = (200 choose i)×\(0.8^{i}\) ×\(0.2^{200- i}\)

By using this, we can easily find that cumulative probability is 0.0001

So, the probability is very low, this means that company's claim of an 80% success rate can be incorrect

So, further analysis may be needed to draw some conclusions and results

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Answer:

x will be located in the middle of t&p but in the middle

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

what you do is use 42 plus 90 which you infer fron the intersection add those together which is 48. the you put 11x + 48 = 180 so then you subtract 48 from 180 which equals 132 and then divide by 11x so x = 12

Answer:

70-5=65

Step-by-step explanation:

Answer:

robes were embroidered with strands of gold.

Step-by-step explanation:

based on archeological evidence

Answer:

x=18

Step-by-step explanation:

add 2y to both sides 5x=2y+88

subtract 88 from both sides 2y=5x-88

substitute 2y in the second equation for 5x-88

3x+10x-176=58

add like terms 13x-176=58

add 176 both sides

13x=234

x=18

Answer:

( 18, -6.5 )

Step-by-step explanation:

First choose which method you plan on using: Substitution or Elimation. I chose elimination based off preference.  

How to solve using Elimination:

5x -2y = 88  (multiply every number in this equation by two)

3x+4y=58

10x -4y = 176

3x+4y=58      (combine these two equations)

13x = 234  (isolate x by dividing by 13 on both sides)

x = 18         (this is your value for x)

3(18) +4y=58   (plug in for x)

54+4y=28        (solve)

4y = -26            (subtract 54 from both sides)

y = -6.5             (this is y)

write answer in (x, y) format

( 18, -6.5 )

Answer:

your answer would be zero

Step-by-step explanation:

Parllel lines never crosses or intercept, which means they have 0 solutions