Mike paid $6 for a fruit drink, $10 for a sandwich, $3 for chips, and $5 for dessert. Mike can only pay with 5 dollar bills will he need to cover the total amount?

Given:

Amount = Rs. 9,144

Time = 3 years.

Rate of simple interest = 9%

To find:

The principal value.

Solution:

The formula for simple interest is:

\(I=\dfrac{P\times r\times t}{100}\)

Where, P is principal, r is the simple rate of interest, and t is the number of years.

Putting \(r=9,t=3\) in the above formula, we get

\(I=\dfrac{P\times 9\times 3}{100}\)

\(I=\dfrac{27P}{100}\)

\(I=0.27P\)

We know that,

\(\text{Amount}=\text{Principal + Interest}\)

\(9144=P+0.27P\)

\(9144=1.27P\)

Divide both sides by 1.27, we get

\(\dfrac{9144}{1.27}=P\)

\(7200=P\)

Therefore, the principal value is Rs. 7200.

Answer:

(1,8)

Step-by-step explanation:

The Y coordinated does up and down so 1+7=8

the energy use for each quarter beginning with winter in year 26 is as follows:

Winter: 121.91

Spring: 149.49

Summer: 170.44

Fall: 129.96

To determine the energy use for each quarter beginning with winter in year 26, we need to multiply the base value D = 80.0 + 0.45Q by the corresponding seasonal factors. Here are the calculations:

Winter (Q = 101): D = (80.0 + 0.45 * 101) * 0.9 = 135.45 * 0.9 = 121.91

Spring (Q = 102): D = (80.0 + 0.45 * 102) * 1.1 = 135.9 * 1.1 = 149.49

Summer (Q = 103): D = (80.0 + 0.45 * 103) * 1.25 = 136.35 * 1.25 = 170.44

Fall (Q = 104): D = (80.0 + 0.45 * 104) * 0.95 = 136.8 * 0.95 = 129.96

Learn more about seasonal factors here: https://brainly.com/question/28330130

#SPJ11

yes, it is direct proportion becuz in direct proportion if the prize of one quantity increases the other too will have to increase. here in this question as you can see 5melons were costing 3.50 and on increasing it to 7 melons cost is too increasing soo it is a direct proportion.

IF THIS ANSWER HEPLED YOU MARK IT AS BRAINLIIST OR ELSE IF YOU HAVE ANY DOUBTS ASK IN COMMENT

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

Read more about fraction

brainly.com/question/17220365

#SPJ1

Answer:

2 bowls of soup

Step-by-step explanation:

1. Make 1 1/4 an improper fraction

1 1/4 = 5/4

2. Then divide 5/4 by 5/8 (KCF - Keep the 5/4 - Change the division sign to multiplication - 'Flip' 5/8 to 8/5)

5/4 x 8/5 = 40/20

3. Simplify the fraction (divide the numerator and denominator by 20)

40/20 = 2

4. Final answer:

2 (bowls of soup)

9514 1404 393

Answer:

  (b)  -15

Step-by-step explanation:

The area under the curve from -5 to +5 can be divided into two trapezoids. The one from x=-5 to x=1 has an area of ...

  A = 1/2(b1 +b2)h = 1/2(1 +6)(5) = 17.5

The one from x=1 to x=5 has an area of ...

  A = 1/2(4 +3)(-1) = -3.5

So, the total area from x=-5 to x=+5 is 17.5 -3.5 = 14. This is the amount by which f(x) increases from f(-5) to f(5). That is ...

  f(-5) +14 = -1

  f(-5) = -15

Answer: i think it represents 1 if that is an answer

Step-by-step explanation:

Answer:

Point C: 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Initial Function:

y=x²

Move the parent function 4 units to the right ( moves horizontally).

y = (x-4)²

Make the function's opening wider

y = 1/2 (x-4)²

The graph moves 4 units to the right and widens.

Therefore, the combined rate , It will take both pipes together to fill the tank 12 minutes to fill the tank.

To determine the time it takes for both pipes to fill the tank, we can use the concept of rates. Let's denote the rate at which the first pipe fills the tank as R1 (in tanks per minute) and the rate at which the second pipe fills the tank as R2 (in tanks per minute).

We are given that the first pipe can fill the tank in 20 minutes, which means its rate is 1/20 tanks per minute (since it fills 1 tank in 20 minutes). Similarly, the second pipe fills the tank in 30 minutes, so its rate is 1/30 tanks per minute.

When the two pipes work together, their rates add up. Therefore, the combined rate of both pipes is R1 + R2 = 1/20 + 1/30 = 3/60 + 2/60 = 5/60 tanks per minute.

To find the time it takes for both pipes to fill the tank, we can invert their combined rate: 1 / (5/60) = 60/5 = 12 minutes.

Therefore, it will take both pipes together 12 minutes to fill the tank.

learn more about combined rate here:

https://brainly.com/question/28081747

#SPJ11

Answer: Ryuk buys 2x red apples and 6 green apples from a grocery store. Afterwards, Ryuk buys 3x hats and 4 scarfs at a clothing store. If the amount they spent at the grocery store and clothing store were equivalent, what does the variable x represent?

Given the equation 2x+6=3x+4, x should equal 2. This is because 2x2+6=10 and 3x2+4=10. If x equals 2, both equations can be equal.  

(pls dont use the same wording guys, its very easy for teachers to tell if something is copied especially if someone else already submitted the same thing)

The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```

It looks like you are trying to create an integer array in Java called "hours" and initialize it with the values 8, 12, and 16. The given statement has incorrect syntax.
Declare the integer array using "int[]" followed by the variable name "hours".

This tells the Java compiler that you want to create an array of integers called "hours".
Use the assignment operator "=" to assign values to the array.
Enclose the values you want to assign to the array within curly braces "{" and "}" and separate each value with a comma.
The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```
Now, the "hours" integer array is initialized correctly with the given values.

The syntax for declaring and initializing an integer array in Java is:

```java
data Type[] array

Name = {value1, value2, value3, ...};
```
In this case, "data Type" is "int", "array

Name" is "hours", and the values are 8, 12, and 16.
Remember to keep your code clean and concise to avoid syntax errors and make it easier for others to understand.

For similar question on statement.

https://brainly.com/question/26134656

#SPJ11

Step-by-step explanation:

2 real roots in thequestipn

Answer

C:2

Step-by-step explanation:

Answer:

x = 9/8

Step-by-step explanation:

Step 1: Write out equation

3(x + 2) = -5(x - 3)

Step 2: Distribute

3x + 6 = -5x + 15

Step 3: Add 5x on both sides

8x + 6 = 15

Step 4: Subtract 6 on both sides

8x = 9

Step 5: Divide both sides by 8

x = 9/8

Answer: 9/8

Step-by-step explanation:

Use distributive property to solve

Answer:

15

----

153

15=6+3+1

153=18×17÷2

An orthonormal basis of the kernel of A is {[-1/√2, 1/√2, 0], [-1/√6, -1/√6, 2/√6]}.

We can write the augmented matrix [A|0] and use row operations to row reduce it to reduced row echelon form:

\(\begin{matrix}1 & 1 & 1 &0\\0&-2 & -2 & 0\\0 &0 & 0& 0\\\end{matrix}\)

From the row echelon form, we can see that the kernel of A is spanned by the two vectors [-1, 1, 0] and [-1, 0, 1]. To obtain an orthonormal basis, we can apply the Gram-Schmidt process:

Let v₁ = [-1, 1, 0]. Normalize it to obtain the first orthonormal vector u₁:

u₁ = v₁ / ||v₁||

= [-1/√2, 1/√2, 0]

Let v₂ = [-1, 0, 1]. Subtract the projection of v₂ onto u₁ to obtain a vector orthogonal to u₁:

w₂ = v₂ - (v₂·u₁)u₁

= [-1/2, -1/2, 1]

Normalize w₂ to obtain the second orthonormal vector u₂:

u₂ = w₂ / ||w₂||

= [-1/√6, -1/√6, 2/√6]

To know more about orthogonal basis, here

brainly.com/question/14546350

#SPJ4

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}- the sum of the dots ranges from 2 to 12

S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}  - the minimum sum is 2.

S = {2, 4, 6, 8, 10, 12} - even sums

S = {1, 3, 5, 7, 11} - odd sums

I understand you want an explanation of the different sets in the context of rolling a pair of dice and recording the sum of the dots on the two faces that come up. Let me break it down for you:

1. When a pair of dice is rolled, the possible sum of the dots ranges from 2 (both dice showing 1) to 12 (both dice showing 6). This range is represented by the first set: S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

2. The second set, S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, represents all the possible sums excluding the sum of 1, which is actually not possible when rolling a pair of dice, as the minimum sum is 2.

3. The third set, S = {2, 4, 6, 8, 10, 12}, represents all the even sums that can be obtained when rolling a pair of dice.

4. The last set, S = {1, 3, 5, 7, 11}, represents all the odd sums that can be obtained when rolling a pair of dice, with the exception of 1 and 9. However, as mentioned before, 1 is not a possible sum, and 9 should be included in the set to accurately represent all odd sums.

In summary, these sets represent different subsets of possible sums when a pair of dice are rolled and the sum of the dots on the two faces is recorded.

Learn more about statistics and probability:https://brainly.com/question/10734660

#SPJ11

Steps to solve:

4x + 6 = 10 - 4

~Simplify

4x + 6 = 6

~Subtract 6 to both sides

4x = 0

~Divide 4 to both sides

x = 0

Best of Luck!

Answer:

\(\large\boxed{x = 0}\)

Step-by-step explanation:

4x + 6 = 10 - 4

Subtract 10 - 4

4x + 6 = 6

Subtract 6 from both sides of the equation

4x = 0

Divide both sides of the equation by 4

\(\large\boxed{x = 0}\)

Hope this helps :)

Answer:

C

Step-by-step explanation:

y=-x^2+1. y is a decreasing function as x^2 is an increasing function

The statement in this problem that does not represent a inferential statistic is given by:

c. 15% of the people surveyed have the first name hugo.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

In this problem, an inferential statistic is the sample proportion of 15% for the population of Lyon, France or Europe(as Lyon is in France and France in Europe).

In option C, the inference is for the sample and not for any population, hence it is not an inferential statistic.

More can be learned about inferential statistics at https://brainly.com/question/13852073

#SPJ1

Answer:

a) 4400

\( b)\: 6\sqrt{3 } \)

c) 68

Step-by-step explanation:

a) we will factor 10^3 and we get (1.6+2.8)*10^3 = 4400

b) we will divide both side by sqrt(6) and racionalize

c) we will use formula (a+b) (a-b) = a^2-b^2

\(2.6 \times {10}^{3} + 1.8 \times {10}^{3} \\ = (2.6 + 1.8) \times {10}^{3} \\ = 4.4 \times {10}^{3} \\ = 4400\)

\(9 \sqrt{24} \div \sqrt{18} \\ = 9 \sqrt{2 \times 2 \times 2 \times 3} \div \sqrt{2 \times 3 \times 3} \\ = 9 \times 2 \sqrt{2 \times 3} \div 3 \sqrt{2} \\ = \frac{18 \times \sqrt{2} \times \sqrt{3}}{3 \times \sqrt{2} } \\ = 6 \sqrt{3} \)

\((4 \sqrt{6} - 2 \sqrt{7} )( 4\sqrt{6} + 2 \sqrt{7} ) \\ = {(4 \sqrt{6}) }^{2} - {(2 \sqrt{7}) }^{2} \\ = (4 \times 4 \times \sqrt{6} \times \sqrt{6} ) - (2 \times 2 \times \sqrt{7} \times \sqrt{7} ) \\ = (16 \times 6) - (4 \times 7) \\ = 96 - 28 \\ = 68\)

ray4918 here to help.

Answer: 6√6

Multiply the numbers outside of the square root and then multiply the numbers inside of the square root.

:)

Step-by-step explanation:

(2√2)(3√3)

= 2×3 (√2×√3)

= 6√6

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

To learn more about Stock split, visit:

https://brainly.com/question/29754813

#SPJ11

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

Know more about quadratic function here;

https://brainly.com/question/18958913

#SPJ11

Answer:

6

Step-by-step explanation:

to find the mean, you must add all the numbers together and divide by the amount of numbers. for example, 2+4+6+8+10=30. next, you divide 30 by the amount of numbers, which is 5. if you count there are five numbers. so 30÷5=6 :)

Answer:

  b. the number of patients in a hospital

Step-by-step explanation:

You want to identify the discrete random variable from the list of descriptions of variables.

A variable is discrete if it takes on only specific values. This will be the case for anything that is counted using counting numbers. The number of patients in a hospital is a discrete random variable.

__

Additional comment

As a rule, we have trouble dealing with measurements of values that are continuously variable. The reported measurement is always a discrete value, usually rounded to some practical precision. In that sense, any one of the suggested answers could arguably be a discrete random variable.

<95141404393>

According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

Learn more about Zaller's model:

https://brainly.com/question/6956833

#SPJ11

Answer:

if length is 20 and width is 12 then the perimiter is 64

Step-by-step explanation:

Answer:

a. 7 by 21

b. a(-12, 2), b(-12, -5), c(9, -5)

Step-by-step explanation:

AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.

Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21.  Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).

Answer:

one answer

Step-by-step explanation:

the answer is x=2