Question 2 of 21
What is the solution to the system of equations graphed below?
O
A. (6,0)
OB. (0,6)
O C. (1,5)
D. (0, 3)

After 14.39 years the principle amount will reach to 13500 dollars.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practicize of adding interest to the principal amount of a loan or deposit.

Given: 5100 dollars is placed in an account with an annual interest rate of 7%.

Principle amount (P) = 5100 dollars.

Rate of interest = 7% = 0.07

Total amount (A) = 13500 dollars.

Here the interest is compounded annually, so we can use the compound interest formula,

\(A = (1+r)^t\)

Plug the values in the formula

\(13500 = 5100(1+0.07)^t\\2.6471 = (1+0.07)^t\)

Taking log on both sides,

\(log(2.6471) = log(1.07)^t\\log(2.6471) = t log(1.07)\\t = 14.39\)

Hence, after 14.39 years the principle amount will reach to $13500.

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Answer:

The correct answer would be: 18.1

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Anand = x

Sharma = x + 3

6 years ago

Anand = x - 6

Sharma = (x + 3) - 6

= x + 3 - 6

= x - 3

Sharma age = 4 (x - 6)

Six years ago Sharma's age was four times Anand's age.

x + 3 = 4(x - 6)

x - 3 = 4x - 24

x - 4x = -24 + 3

- 3x = - 21

x = - 21/-3

x = 7

Anand = x = 7 years

Sharma = x + 3

= 7 + 3

= 10 years

Answer:

Approximately 619.42

Step-by-step explanation:

The formula for finding the volume of a cone is  V=1/3hπr². (R is the radius and h is the height.

To determine the percentage of times the machine will dispense more than 7.1 oz of coffee, we need to calculate the z-score and find the corresponding area under the normal distribution curve.

The z-score is calculated using the formula:

z = (x - μ) / σ

where x is the value we're interested in (7.1 oz), μ is the mean (7.6 oz), and σ is the standard deviation (0.5 oz).

Let's calculate the z-score:

z = (7.1 - 7.6) / 0.5

z = -0.5 / 0.5

z = -1

Now we need to find the area under the normal distribution curve for a z-score of -1. We can use a standard normal distribution table or a statistical calculator to find this area.

The area corresponds to the probability that the machine will dispense more than 7.1 oz.

Using a standard normal distribution table, we can find that the area to the left of z = -1 is approximately 0.1587. Since we're interested in the area to the right (more than 7.1 oz), we subtract this value from 1:

P(X > 7.1) = 1 - 0.1587

P(X > 7.1) ≈ 0.8413

Therefore, the vending machine will dispense more than 7.1 oz approximately 84.13% of the time.

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There are 324 different dessert menus for the week, considering the given restrictions.

To determine the number of different dessert menus for the week, we need to consider the restrictions of not serving the same dessert two days in a row and having cake on Friday.

We can approach this problem by considering the dessert options for each day of the week:

1. Sunday: There are four options for the dessert.

2. Monday: Since the same dessert cannot be served two days in a row, there are three options for the dessert.

3. Tuesday: Similarly, there are three options for the dessert.

4. Wednesday: Again, three options for the dessert.

5. Thursday: Three options for the dessert.

6. Friday: The dessert must be cake because of the birthday, so there is only one option.

7. Saturday: Since the same dessert cannot be served two days in a row, there are three options for the dessert.

To calculate the total number of different dessert menus, we multiply the number of options for each day:

Total number of dessert menus = 4 * 3 * 3 * 3 * 3 * 1 * 3

                            = 324

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Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

y - 1 = 3/4 * (x + 6)

Step-by-step explanation:

Answer:

20 + (15h)

Step-by-step explanation: It would be 15 times the amount of hours and then 20 added to that.

The smallest possible area of the circle with the points (-3,-2) and (1,4) is 13π.

Given, the endpoints of the circle are given:

(-3,-2) = (x₁,y₁)

(1,4) = (x₂,y₂)

The circle with the smallest possible area that passes through the points (-3, -2) and (1, 4) is a circle with a diameter whose endpoints are these two points.

we are asked to determine the area of the circle = ?

first calculate the distance between the points:

distance  = √(x₁-x₂)²+(y₁-y₂)²

d = √(-3-1)²+(-2-4)²

d = √(-4)² + (-6)²

d = √16+36

d = √52

d = 2√13

Thus, the radius has a length of r = √13,

and the area of the circle is A = π x (√13)²

= 13π.

Hence we get the area of the circle as 13π..

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Answer:

240,000

Step-by-step explanation:

You have to add 4 zeros to the answer and remove the decimal point to get the answer.

If you liked this answer please mark "Brainliest".

Answer:

3:5 or 3/5 is equal to 30:50 or30/50

so the answer is 50 chocolate cones

"Financial" as it is not an effectiveness MIS metric.

To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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The value of angle x = 39° using angle sum property.  

An angle is a shape in Euclidean geometry composed of two rays, referred to as the sides of circle, that diverge at the angle's tip and the peak, which is situated in the middle. Within the plane they are located in, two rays can join to form an angle. Angle is another outcome of two objects interacting. They are known as dihedral angles. Two line beams with ends can be arranged in a variety of ways to create an angle in 2 dimensions.

Here,

The angle opposite to 68 is vertically opposite angle,

And the angle adjoining 107 is linear pair of 107,

⇒ 180 - 107 = 73°

Now, using angle sum property,

the value of x will be -

68 + 73 + x = 180

141 + x = 180

x = 180 - 141

x = 39°

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Complete question -

Find x -

The best interpretation is that Aidan can expect to save about $17.63 each week.

The best interpretation of the slope of the line y = 17.63x + 27.52 is:

Aidan can expect to save about $17.63 each week.

In the given equation, the coefficient of x (which represents time) is 17.63. This indicates the rate of change in the dependent variable (y), which in this case represents the amount of money saved. The positive slope indicates that as time (x) increases, the amount of money saved (y) also increases.

Therefore, the best interpretation is that Aidan can expect to save about $17.63 each week.

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The mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

The mode is defined as the number that occurs most frequently in a list of numbers. In a set of numbers, there can be one mode, more than one mode, or no mode at all.

To find the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18}, we need to identify the number that appears most frequently. Here, we can observe that 12 is the number that appears twice, while all the other numbers only appear once.

Therefore, the mode for this list of numbers is 12. It's important to note that if there are multiple numbers that appear with the same highest frequency, then all of them are considered as modes. For instance, if the list of numbers was {5, 9, 12, 11, 12, 19, 19, 18}, then both 12 and 19 would be modes since they each appear twice.

In conclusion, the mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

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Answer:

Yes, the segments would form a triangle.

Step-by-step explanation

If the two shortest lengths are equal to or greater than the longest, it can form a triangle.

Answer:

yes

Step-by-step explanation:

Add any two sides and see if it is greater than the third   for all three sides

4+10 > 12  true

10+12 > 4  true

12+4 > 10  true

Then the three sides form a triangle

Answer:

Confidence Interval - "P" values  

(0.4433 , 0.5444 )

~~~~~~~~~~~~~~~~~~~~~~~

\(\mathrm{Expand\:}\left(x+4y\right)^3:\quad x^3+12x^2y+48xy^2+64y^3\)

in you image it is the last on "D"

Step-by-step explanation:

Confidence Level - "P" values  

99% 2.58

Confidence Interval - "P" values  

(0.4433 , 0.5444 )  

Answer:

brainliest plssss

Step-by-step explanation:

−2(2−2w)

=(−2)(2+−2w)

=(−2)(2)+(−2)(−2w)

=−4+4w

=4w−4

1.The beginning balance should be $4,000

2.The amount to be adjusted is $2554

3.The ending balance of the account after the adjustment $2554

4. Office Supplies Account is $14846

"Information available from the question"

The Office Supplies account started the year with a $4,000 debit balance

The company purchased supplies for $13,400,

The inventory of supplies available at the end of the year totaled $2,554.

Now, According to the question:

1. The beginning balance should be $4,000

2.The adjusted amount is

Opening balance = 4000

Add: New purchases = 13400

Balance after Purchase = 17400

Less: Year end balance = 2554

3. The ending balance is $2,554

4. The adjusting journal entry is

Dr. Supplies Expense Account is 14846

Adjustment in the year = Cr. 14846 (subtracted from the balance)

Office Supplies Account is 14846

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The

tangent

of the angle in the right triangle is equal to five-fourths, confirming that the angle is approximately 51 degrees. Therefore, the correct answer is option A: 51º.

To find the angle that has a tangent of five-fourths, we can use the inverse tangent function (

arctan

) on a calculator. The inverse tangent function gives us the angle whose tangent is a given value.

Using a calculator, we can input the value 5/4 or 1.25 and find the corresponding angle:

arctan(5/4) ≈ 51.34

degrees

Rounding to the nearest degree, the angle that has a tangent of five-fourths is approximately 51 degrees.

To verify this result using a

right triangle

, we can construct a right triangle where the length of the side opposite the angle is 5 units and the length of the side adjacent to the angle is 4 units. We can then calculate the tangent of the angle and check if it is indeed equal to five-fourths.

Let's label the angle as θ. Using the given side lengths, we have:

Opposite side = 5

Adjacent side = 4

Tangent(θ) = Opposite side / Adjacent side = 5/4 = 1.25

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La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.

Enrique y Silvia van a dar una fiesta a su nieta Sofía y desean saber cuántos niños como máxi-mo deben invitar; el dinero que tienen está re-

presentado por D= $ 7 500x y los gastos están representados por G = $ 5 900x + 25. ​

Establecer la ecuación.

D = 7500x  -  G

7 500x - 5 900x - 25 = 0

Resolver la ecuación.

1 500x = 25

x = 10

Interpretar la solución.

La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.

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Answer:

Step-by-step explanation:

7x - (-2x) = 7x + 2x

              = 9x

1.92%   is the probability .

Describe probability using an example?

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

  P = x/y

Find out the probability that the first student selected will be left-handed

we have

 x = 6

 y = 40

substitute

 P = 6/40

Simplify

P = 3/20

the probability that the second student selected will be left-handed

we have

    x = 6 - 1  = 4

y = 40 -1 = 39

substitute

 P = 5/39

the probability that the 2 students selected will both be left-handed

Multiply the probabilities

   P = 3/20(5/39)  = 15/780

Convert to percentage

Multiply by 100

15/780 * 100 = 1.92%

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Answer:

B) 883.6

Step-by-step explanation:

V=πr^2h

radius= 7.5

V=π(7.5)^2(5)

V= 883.6

Answer:

\(\boxed{x = 251.4 cm}\)

Step-by-step explanation:

Part 1: Sketching the triangle

We are given the angle of elevation, 70°, and the distance along the ground, 86 centimeters. Our unknown is a ladder leaning against the building. Buildings are erected vertically, so the unknown side length is the hypotenuse of the triangle.

We can then sketch this triangle out to visualize it (attachment).

Part 2: Determining what trigonometric ratio can solve the problem

Now, we need to refer to our three trigonometric ratios:

\(sin = \frac{opposite}{hypotenuse}\)

\(cos = \frac{adjacent}{hypotenuse}\)

\(tan = \frac{opposite}{adjacent}\)

Visualizing the sketched triangle, we can assign the three sides their terms in correspondence to the known angle -- this angle cannot be the right angle because the hypotenuse is opposite of it.

Therefore, we know our unknown side length is the hypotenuse of the triangle and because the other side is bordering the 70° angle, it is the adjacent side.

By assigning the sides, we can see that we need to use the trigonometric function that utilizes both the hypotenuse and the adjacent side to find the angle. This is the cosine function.

Part 3: Solving for the unknown variable

Now that we have determined what side we need to solve for and what trigonometric function we are going to use to do so, we just need to plug it all into the equation.

The cosine function is provided: \(cos( \alpha) = \frac{adjacent}{hypotenuse}\), where \(\alpha\) is the angle. We just need to plug in our values and solve for our unknown side; the hypotenuse.

\(cos (70) = \frac{86 cm}{x}\), where x is the unknown side/the hypotenuse.

\(x * cos (70) = \frac{86 cm}{x} * x\) Multiply by x on both sides of the equation to eliminate the denominator and make the unknown easier to solve for.

\(\frac{xcos (70)}{cos(70)} = \frac{86 cm}{cos(70)}\), Evaluate the second fraction because the first one cancels down to just the unknown, x.

\(\frac{86}{cos(70)} = 251.4\), round to one decimal place.

Your final answer is \(\boxed{x=251.4cm}\).

Answer:

x = \(\frac{z+5y+3}{7}\)

Step-by-step explanation:

z = 7x - 3 - 5y ( add 5y to both sides )

z + 5y = 7x - 3 ( add 3 to both sides )

z + 5y + 3 = 7x ( isolate x by dividing both sides by 7 )

\(\frac{z+5y+3}{7}\) = x

Answer: - 13

USE BEDMAS to solve:

-3 · 5 + (-1)^4 · 8 - 6

= -3 · 5 + 1 · 8 - 6

= -15 + 8 - 6

= -13

Answer: -13

Step-by-step explanation:

used a calculator to solve