Aaron has $150 at the start of the week. By the end of the week, he has 30% more money. How much
total money does he have at the end of the week? Show work, using any method.

Answer:

0/2

Step-by-step explanation:

As there are 2 rabbits there will not be any puppies.

Answer:

0/2 since there obviously not dogs

Questions that require responses at fixed intervals along a scale of answers are called scale questions.

Closed-ended questions, such as the Likert Scale, are one of the most popular methods for gauging public opinion. To gauge people's opinions, attitudes, and beliefs, they employ psychometric testing. Statements are used in the questions, and respondents are asked how much they agree or disagree with each assertion. Likert Scale questions typically have a scale from 0 to 10, while shorter scales are also conceivable.

Every sort of research has benefits and drawbacks, and this particular question type has both in spades. The fundamental benefit of Likert Scale questions is that they follow a standard way of data collection, making them simple to comprehend.

Hence, according to the definition questions that require responses at fixed intervals along a scale of answers are called scale questions.

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Answer: √5

2.7 is a rational number because it's a terminating decimal which means that the decimal does end and all terminating decimals are rational numbers.

-3 is a rational number because it's an

integer and all integers are rational.

√4 is rational because it's a perfect square which means that a number can be multiplied by itself to get 4 and that number is 2.

√5 is no rational! It's impossible to find a whole number multiplied by itself to give us 5 which means that it's

non-terminating and non-repeating.

Answer:

Hi ! Answers given in the pictures below

Step-by-step explanation:

Answer:

p = 67

Step-by-step explanation:

The polygon has 8 sides.

The sum of the measures of the interior angles is:

180(n - 2) = 180(8 - 2) = 180(6) = 1080

p + 49 + 2p + 7 + 2p + 142 + p + 50 + 2p + 147 + 2p + 15 = 1080

10p + 410 = 1080

10p = 670

p = 67

The number of weeks needed to get $850 is 21 weeks.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.

Let the number of weeks be represented by w

Amount saved = $24

Amount needed = $850

Number of weeks = w.

This will be illustrated as:

24 + 40w = 850

Collect like terms

40w = 850 - 24

40w = 826

Divide

w = 826 / 40

w = 20.65 = 21 approximately

There'll be 21 weeks.

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You have saved $24 towards the purchase of your own laptop. you get a job at the corner store cleaning after hours on sundays that pays $40 per week. the laptop you want costs $850 and includes everything you'll need to start college. How may weeks are needed?

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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Answer: Jiri is 5, Pamela is 10

Step-by-step explanation:

Pamela age: x

Jiri age: y

x = 2y

x + y = 15

plug in the x value

2y + y = 15

combine

3y = 15

y = 5

solve for x

x = 2(5)

x = 10

check your answer

10 + 5 = 15

Three types of rigid transformations are Reflection, Rotation, and Translation. Rigid transformation, also called isometry.

A rigid transformation, also called isometry,  is a transformation that doesn't change the size or shape of a geometric figure. The following are 3 types of rigid transformation:

1. Reflection

→  is the act of shifting an object's coordinates that flip it across a line without changing its shape or size. Horizontal (draw a figure to the left or right) or vertical (draw a figure to the up or down) reflections are possible. The result of reflection is a mirror image of the figure itself.  

The figure is reflected across \(x-\) or \(y-\) axis, and then change \(x-\) or \(y-\) coordinate.

2. Rotation

→ is the non-modification of an object's size or shape by rotating it around an fixed point. A center of rotation is required to rotate an object. And the rotation did by using a degree.

The figure is rotated by a degree (ex: 90°), and then change \(x-\) or \(y-\) coordinate. Meanwhile, a point's center rotation stays at the same.

3. Translation

→ is sliding a figure in any direction without changing its size, shape, or orientation. Translation could be horizontal (make a figure left or right),  or vertical reflections (make a figure up or down).

Vertical translation is shifting the graph along  \(y-\) axis

Horizontal translation is shifting the graph along  \(x-\) axis.

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Answer:

see explanation

Step-by-step explanation:

given f(x) then f(x) ± c is a vertical translation of f(x)

• if + c then a shift up of c units

• if c < 0 then a shift down of c units

then

h(x) = x² - 9 is the graph of f(x) shifted down 9 units

Answer:

-2

Step-by-step explanation:

4 + negative 2 (or -2) = 2

If the  dividend of  $1.50 is expected in two months. The European put price is $3.03.

Given:

K=50, r=0.1, σ=0.3, and T=0.25

First step is to find the stock price

S0 = 50−1.50e^ -0.1667×0.1

SO=48.52

Second step is to find di and d2

d1=In(48.52/50)+(0.1+0.09/2)0.25/0.3√0.25

d1 = 0.0414

d2=d1-0.3√0.25

d2 = -0.1086

Third step is to calculate European put price

European put price=-50N(0.1086)e^ -0.1×0.25−48.52N(−0.0414)

European put price=50×0.5432e -^0.1×0.25−48.52×0.4835

European put price=$3.03

Therefore If the  dividend of  $1.50 is expected in two months. The European put price is $3.03.

The complete question is:

A company stock price is $50  a dividend of $1.50 is expected in two months, risk-free rate is 10% per annum, stock price volatility is 30%  with continuous compounding for all maturities. What difference does it make to your calculations.

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When two sides and sides of one triangle are equal then it can be said that the triangles are congruent.

Here we have to find the case in which it can be proven that two triangles are congruent.

Two triangles are said to be congruent if two angles and the included side of one triangle are equal to two angles and the included side of another side.

One of the simplest ways to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those two triangles must also be congruent. This method is called side-side-side( SSS).

Therefore when two angles and their sides are equal then two triangles are said to be congruent.

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The total number of notes is 32

Let the number of notes be x

$50 = x

$20 = x

$10 = x

$5 = x

Total number of notes = 4x

Let's find 'x'

50x + 20x + 10x + 5x = 680

85x = 680

x = 680/ 85

x = 8

We know that;

Total number of notes = 4x = 4 × 8 = 32 notes

Thus, the total number of notes is 32

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Answer:

1st Option

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Step 1: Find the missing leg

2² + b² = 6²

b² = 36 - 4

b = √32

Step 2: Find cosA

cosA = √32/6

cosA = 4√2/6

cosA = 2√2/3

Answer:

k=8

Step-by-step explanation:

yes

John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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The probability that exactly 10 customers will arrive at the vendor in the next 30 minutes is approximately 0.0656 or about 6.56%.

The number of customers arriving at the vendor in a 10-minute interval follows a Poisson distribution with a mean of λ = 3.

The probability of exactly x customers arriving in a 10-minute interval is given by:

P(X = x) = \((e^{(-\lambda)} \times \lambda^x) / x!\)

e is the base of the natural logarithm (approximately equal to 2.71828).

The probability of exactly 10 customers arriving in the next 30 minutes we need to consider three consecutive 10-minute intervals.

The total number of customers arriving in 30 minutes follows a Poisson distribution with a mean of λ = 9 (3 customers per 10-minute interval × 3 intervals

= 9 customers in 30 minutes).

The Poisson probability formula to calculate the probability of exactly 10 customers arriving in 30 minutes:

P(X = 10) = (e⁽⁻⁹⁾ × 9¹⁰) / 10!

X is the random variable representing the number of customers arriving in 30 minutes.

Using a calculator or a computer program can evaluate this expression to get:

P(X = 10) ≈ 0.0656

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Answer:

B

Step-by-step explanation:

4x = 10

x = 10 / 4 = 2.5

4/7 is probability a two-way table to model this chance process.

What are examples and probability?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

                                The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

No events getting thick crust pizza and getting pizza with mushrooms are not disjoint as we can have pizza that has thick crust and mushroom both.

No events are not independent as

P(thick and having mushroom) is not equal to P(thick crust)*P(having mushroom)

P( thick and having mushroom) = 2/7

P(thick crust) = 3/7

P( having mushroom) = 4/7

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The trout's velocity relative to the water is 1.59 m/s.

To determine the trout's velocity relative to the water, we can analyze its motion in both downstream and upstream scenarios.

Given:

Distance traveled downstream = 21.3 m

Time taken downstream = 13.4 s

Time taken upstream = 29.8 s

When the trout swims downstream, it benefits from the stream's current, which adds to its own velocity. The trout's velocity relative to the water (v_trout) can be calculated by dividing the distance traveled downstream by the time taken downstream:

v_trout = Distance traveled downstream / Time taken downstream

v_trout = 21.3 m / 13.4 s

v_trout ≈ 1.59 m/s

Therefore, the trout's velocity relative to the water is approximately 1.59 m/s.

When the trout swims downstream, the water's velocity relative to the ground is added to the trout's velocity relative to the water. This results in a faster speed for the trout compared to when it swims upstream against the current.

In the downstream scenario, the distance traveled (21.3 m) divided by the time taken (13.4 s) gives us the average velocity of the trout relative to the water during that period. This average velocity takes into account the combined effect of the trout's own swimming speed and the stream's current, resulting in a value of approximately 1.59 m/s.

By swimming upstream, the trout is now swimming against the current. This causes a decrease in its overall speed. The time taken to cover the same distance (21.3 m) upstream is longer (29.8 s) compared to downstream. This indicates that the trout's velocity relative to the water is slower when swimming against the current.

In summary, the trout's velocity relative to the water is 1.59 m/s when swimming in the stream. This velocity represents the trout's own swimming speed, accounting for the stream's current, and is determined by dividing the distance traveled by the time taken in the downstream scenario.

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Answer:

The answer is b

Step-by-step explanation:

X= 0 makes the exponential function greater than the quadratic function. Therefore, the correct option is option B.

The mathematical symbol for the exponent is \(e^{X}\). The word, unless specifically stated differently, generally relates to the positive-valued functional of something like a real variable, though it can be extended towards the complex numbers or adapted to other mathematical like matrices or Lie algebras.

The idea of exponentiation is where the exponential function got its start, although recent definitions allow for a rigorous extension to all real arguments, especially irrational values. X= 0 makes the exponential function greater than the quadratic function.

Therefore, the correct option is option B.

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The zip line forms a right triangle with the tree, when elevated

The height of the tree is 35 meters

Represent the height of the tree with h.

So, the height h is calculated using the following sine function

\(\sin(10) = \frac{h}{200}\)

Make h the subject

h = 200 * sin(10)

Evaluate the product

h = 35 meters

Hence, the height of the tree is 35 meters

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Answer:$121,000 a month

Step-by-step explanation:

Answer:

Thus, it is possible to erect a pole at a point p on the boundary of the park at distances 5m and 12m respectively from gates B and A.

Step-by-step explanation:

Let P be the required location of pole .

A and B are the two gates.

Let the distance of pole at p from gate be 'x' meters

i.e. PB = x m

•°• AP = (x + 7)m and AB = 13 m

•°• AP² + BP² = AB² => (x +7)² + x =13²

Rejecting x =-12, we get x = 5

•°• PB = 5m

and

AP = 12m

(I hope this helped :)

Answer:

x = 5, y = -2

Step-by-step explanation:

Multiply the top equation by 4 and the bottom equation by 5:

\(8x + 20y = 0\)

\(15x - 20y = 115\)

Add these two equations to eliminate y, and then solve for x.

\(23x = 115\)

\(x = 5\)

Substitute 5 for x in 8x + 20y = 0, and then solve for y:

\(8(5) + 20y = 0\)

\(40 + 20y = 0\)

\(20y = - 40\)

\(y = - 2\)

Answer:

why should the government provides security to it's people

Answer: 2205

Step-by-step explanation:

From the prime factorisation of 525 we get

525 = 3×5×5×7

We have to make sure that all the factors are in cube form

To do that we have to add 3×3×5×7×7 to the factors

We get

525 = 3×3×3×5×5×5×7×7×7

So the 3×3×5×7×7 gives us the smallet value of k, which is 2205

And 525×2205 gives us 1157625 which is a perfect cube.

Answer:

x = 7

Step-by-step explanation:

Add 12 to both sides:

2x + 9 = 5x - 12

2x + 21 = 5x

Subtract 2x from both sides:

21 = 3x

Divide each side by 3:

7 = x

So, x = 7