Correct answers only!

To the nearest cent, how much will she have in 1 year?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answer:

Click the link?

Step-by-step explanation:

Answer:

so well go to the guide and check the q. Then either create an doc or slide when done click file then download then pdf. k. then click add file then add the pdf file.

Step-by-step explanation:

Answer:

$405.

Step-by-step explanation:

That would be 15% of $2700

= 2700 * 0.15

= $405

Answer:

372 inches

Step-by-step explanation:

(1 yd = 36 in., and 1 ft = 12 in.)

1 yard stick = 24 in

This means , height of 36 inches casts a shadow of 24 Inches

At the same time a telephone pole casts a shadow of 20 ft 8 in

1 ft = 12 in

Hence,

Convey 20ft to inches

1 ft = 12 in

20 ft = 20 × 12 inches

= 240 inches

Total shadow of the telephone pole = 240in + 8 in = 248 = 248 inches

Hence,

Height/Length of shadow = Height/Length of shadow

36/24= x /248

Cross Multiply

24 × x = 36× 248

x = 36 × 248/24

x = 372 inches

The height of the telephone pole, to the nearest inch is 372 inches

Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line. The correct option is C.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

The system is:

y ≤ -3x + 1

y ≤ (1/2)x+ 3

To graph these we first need to graph the two lines:

y =-3x + 1

Is a line with a negative slope that passes through the y-axis at y = 1.

Because here we have y ≤ -3x + 1 we know that y must be equal or smaller than the line, thus we need to shade below the line, and because y can be equal to any value in the line we need to use a solid line.

For the other equation:

y = (1/2)x+ 3

We have a positive slope and this line intercepts the y-axis at y = 3.

Similar as before, here we have y ≤ (1/2)*x+ 3 so the shaded area will be below the line and the line must be solid.

With this in mind, we can graph the system, and you can see it below:

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dy/dx = 3/2√t

d^2y/dx^2 = -3/4t^(3/2)

At t = 4: dy/dx = 3/4, d^2y/dx^2 = -3/32

Slope at t = 4: 3/4

Concavity at t = 4: Concave down

To find dy/dx and d^2y/dx^2, we can differentiate the parametric equations x = √t and y = 3t - 4 with respect to t and then use the chain rule to find dy/dx and d^2y/dx^2.

Differentiating x = √t with respect to t, we get:

dx/dt = 1/(2√t)

To find dx/dt in terms of dx/dy, we can multiply both sides of the equation by dt/dy:

dx/dy = (1/(2√t)) * (1/(dy/dt))

Since dy/dx = 1/(dx/dy), we can rearrange the equation to solve for dy/dx:

dy/dx = (dy/dt) / (dx/dt)

= (3) / (1/(2√t))

= 3/2√t

Therefore, the slope dy/dx at any value of t is 3/2√t.

Next, let's find the second derivative d^2y/dx^2. To do this, we differentiate dy/dx with respect to t:

d(dy/dx)/dt = d(3/2√t)/dt

= -(3/4)t^(-3/2)

Using the chain rule again, we can find d^2y/dx^2 in terms of d^2y/dt^2:

d^2y/dx^2 = (d^2y/dt^2) / (dx/dt)^3

Plugging in the values, we have:

d^2y/dx^2 = (-(3/4)t^(-3/2)) / ((1/(2√t))^3)

= -(3/4)t^(-3/2) / (1/(8t^(3/2)))

= -3/4t^(3/2) * 8t^(3/2)

= -3/32

Therefore, the second derivative d^2y/dx^2 at any value of t is -3/32.

Finally, we can evaluate the slope and concavity at the given value t = 4:

Slope at t = 4: dy/dx = 3/2√t = 3/2√4 = 3/4

Concavity at t = 4: Since d^2y/dx^2 = -3/32, which is negative, the curve is concave down at t = 4.

So, the slope at t = 4 is 3/4, and the concavity at t = 4 is concave down.

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Answer:

81

Step-by-step explanation:

Mean means the average

Mean = (sum of #s) / amount of #s

sum of numbers = 90 + 87 + 58 + 79 +91 = 405

amount of #s = 5

405/5 = 81

Answer:

81

Step-by-step explanation:

Mean is the sum of all numerical data values over the number of data. In this problem, we have total of 5 numerical data. Therefore:

\(\displaystyle{\bar{x} = \dfrac{\sum x}{N}}\\\\\displaystyle{\bar{x} = \dfrac{90+87+58+79+91}{5}}\\\\\displaystyle{\bar{x} = \dfrac{405}{5}}\\\\\displaystyle{\bar{x} = 81}\)

Note:

\(\bar{x}\) is mean value, \(\displaystyle{\sum x}\) is sum of data, N is number of data

Answer:

you didnt provide inequalitys to chose

Step-by-step explanation:

Big O represents the worst-case performance, Big Theta represents the average-case performance, and Big Omega represents the best-case performance of an algorithm.

Big O, Big Theta, and Big Omega are all notations used in computer science to describe the performance of algorithms, specifically their time complexity.

Each notation represents a different aspect of an algorithm's behavior:

1. Big O (O): Big O notation is used to express the upper bound of an algorithm's running time, meaning it describes the maximum number of operations an algorithm might take in the worst-case scenario. In other words, Big O represents the upper limit on how slow an algorithm can be.

2. Big Theta (Θ): Big Theta notation is used to describe the average-case running time of an algorithm. It represents both an upper and lower bound, meaning it gives a tight bound on the number of operations an algorithm takes in the average case. Essentially, Big Theta indicates the general performance of an algorithm.

3. Big Omega (Ω): Big Omega notation is used to express the lower bound of an algorithm's running time, meaning it describes the minimum number of operations an algorithm might take in the best-case scenario. In other words, Big Omega represents the lower limit on how fast an algorithm can be.

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The presence of duplicate numbers in a random sample does not indicate a higher probability. Each run of random numbers is independent of any specific number is not affected by its occurrence in previous runs.

Random numbers are generated independently from each other, and each number has an equal chance of being selected in each run. The occurrence of duplicate numbers in a single run is purely coincidental and does not impact the probability distribution of subsequent runs. In fact, the presence of duplicates in one run has no bearing on the occurrence or absence of duplicates in future runs.

The probability of a specific number appearing in each run remains constant, regardless of its past occurrences. Each number is selected randomly and independently, following the distribution and range of the random number generator used. Therefore, the appearance of duplicates in one run does not imply that those numbers will have a higher likelihood of appearing again in subsequent runs. Each run should be treated as a separate and independent event when analyzing random numbers.

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The equation for the circle in the graph is:

(x + 2)² + (y + 2)² = 0.5625

A circle whose center is at the point (a, b) and has a radius of R units can be written as:

(x - a)² + (y - b)² = R²

Here we can see in the graph that the center of the circle is at the point (-2, -2), and we also can see that the radius of the circle is 0.75 units, then the equation for the circle in the graph will be:

(x - (-2))² + (y - (-2))² = 0.75²

We can simplify that to get:

(x + 2)² + (y + 2)² = 0.5625

That is the equation.

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Answer:

$40 + 10x

Step-by-step explanation:

Given that:

Original cost of data plan = $40 per month for 10 GB of data

Additional data cost = $10 per GB when usage is above the original data cap

Hence, amount to be paid when usage is over the original data cap by x GB :

Original amount + (additional cost per GB * additional GB used)

$40 + ($10 * x)

$40 + 10x

Answer:

A

Step-by-step explanation:

simplify equation A

then you will get same as the expression above

So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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Answer:

10

Step-by-step explanation:

To  find,

HCF of 50 & 70 using Euclid's Division Algorithm.

Solution,

HCF(50 & 70) --  70 = 50 × 1 + 20.

                           50 = 20 × 2 + 10

                           20 = 10 × 2 + 0.

Therefore their HCF is 10.

Answer:

10

Step-by-step explanation:

According to Euclid's Algorithm, c = dq + r ,  0 ≤ r < d  (where r is the remainder)

As 70 > 50, c = 70 and d = 50

Substituting values of c and d:

   70 = (50 x 1) + 20

⇒ 50 = (20 x 2) + 10

⇒ 20 = (10 x 2) + 0

Therefore, the HCF is 10

Answer:

this is as test

Step-by-step explanation:

Answer:

no se tu dime xd jajajaajajajajajajajsjaa ahahahahahahahahsidigfue

Step-by-step explanation:

Simplifying

-3(x + 5) = -1(3x + 15)

Reorder the terms:

-3(5 + x) = -1(3x + 15)

(5 * -3 + x * -3) = -1(3x + 15)

(-15 + -3x) = -1(3x + 15)

Reorder the terms:

-15 + -3x = -1(15 + 3x)

-15 + -3x = (15 * -1 + 3x * -1)

-15 + -3x = (-15 + -3x)

Add '15' to each side of the equation.

-15 + 15 + -3x = -15 + 15 + -3x

Combine like terms: -15 + 15 = 0

0 + -3x = -15 + 15 + -3x

-3x = -15 + 15 + -3x

Combine like terms: -15 + 15 = 0

-3x = 0 + -3x

-3x = -3x

Add '3x' to each side of the equation.

-3x + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0

0 = -3x + 3x

Combine like terms: -3x + 3x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Answer:

Step-by-step explanation:

-3(x+5) = -(3x+15)

-3x - 15 = -3x - 15

the 2 sides are identical so there are

INFINITE solutions.

Answer:

8.45

Step-by-step explanation:

Find the sum by adding the two numbers together:

1.57 + 6.88

= 8.45

So, the sum is 8.45

Answer: 12=2

x y =3 so 2x3+2x3=12 (2x3 = 6) so 6+6=2 6+6=12 so therefore 12=2

You have to find the slope of the line. It will give you the conversion rate from inches to centimetres or the other way around.

Looking closely at the graph, or using a ruler as reference, you can estimate that 30 cm ≈ 12 in. In terms of the graph, the line very nearly passes through the point (12, 30). It also passes through the origin, (0, 0), since 0 cm = 0 in exactly.

The slope of the line is then

\(\dfrac{30\,\mathrm{cm}-0\,\mathrm{cm}}{12\,\mathrm{in}-0\,\mathrm{in}} = \dfrac{30\,\rm cm}{12\,\rm in} = \dfrac{5\,\rm cm}{2\,\rm in} = 2.5\dfrac{\rm cm}{\rm in}\)

which means that 1 in ≈ 2.5 cm.

So, if Sarah's height is 64 in, we convert this to cm and find her height is (approximately)

\(64\,\mathrm{in} \times 2.5\dfrac{\rm cm}{\rm in} = \boxed{160\,\rm cm}\)

9514 1404 393

Answer:

  72.18°

Step-by-step explanation:

The altitude of the front is 28 ft. It cuts the base in half, so the other leg of the right triangle is (18 ft)/2 = 9 ft. You know the tangent relation is ...

  Tan = Opposite/Adjacent

The angle of interest has opposite side 28 ft and adjacent side 9 ft, so we have ...

  tan(elevation angle) = (28 ft)/(9 ft)

  elevation angle = arctan(28/9)

  elevation angle ≈ 72.18°

height = 14.5 ft and width = length = 3.2 ft  in a box with the largest possible volume

Let the side of the square base is a and the height of the box is h.

The material required to make the box is equal to the total surface area of the box.

Area of base = a²

Cost of square base is $ 2 per ft²

So, the cost of making base = 2a²

Area of four walls + area of top = 2 (a² + ah + ah) + a² =  3a² + 2ah

Cost of making walls and the top is $ 1 per ft²

So, the cost of making walls and the top = 1 x ( 3a² + 2ah)

Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah

According to the question

144 = 5a² + 2ah

    .... (1)

The volume of the box is V = length x width x height

V = a x a x h

V = 72 a - 2.5 a³     from equation (1)

Differentiate both sides with respect to a.

dV/da = 72 - 7.5 a²

Put, it equal to zero for maxima and minima

7.5 a² = 72

a = 3.2 ft

Put in equation (1)

h = 14.5 ft

So, the dimensions of the box are

height = 14.5 ft

width = length = 3.2 ft

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The solution to the initial value problem x' = [1 -5; 1 -3]x, x(0) = [H], can be expressed as -tcos(t)-2sin(t), \(sin(t)e^(^-^t^)\), [cos(t) + 4sin(t)]sin(t) -tcos(t) + 2sin(t), -2tcos(t) + 2sin(t)sin(t), -2t[cos(t) + sin(t)].

The solution to the given initial value problem is a vector function consisting of five components. The first component is -tcos(t)-2sin(t), the second component is\(sin(t)e^(^-^t^)\), the third component is [cos(t) + 4sin(t)]sin(t), the fourth component is -tcos(t) + 2sin(t), and the fifth component is -2t[cos(t) + sin(t)]. These components represent the values of the function x at different points in time, starting from the initial time t = 0. The solution is derived by solving the system of differential equations represented by the matrix [1 -5; 1 -3] and applying the initial condition x(0) = [H].

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The measure of the height of the building is approximately 1,154.8 feet.

We can use trigonometry to solve this problem. Let h be the height of the building. Then we have:

tan(30°) = h/2,000

We can solve for h by multiplying both sides by 2,000:

h = 2,000 tan(30°)

Using a calculator, we can evaluate tan(30°) to be approximately 0.5774. Substituting this value, we get:

h = 2,000 × 0.5774

h ≈ 1,154.8

Therefore, the height of the building is approximately 1,154.8 feet.

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Answer:

15²+2³= 225+8= 233

Step-by-step explanation:

hope it helps you

Answer:

Step-by-step explanation:So that you can get the answer to round it and opperate the number

The answer is (B) 297 in^3.  To find the volume of a rectangular prism, we need to multiply its length, width, and height.

Using the dimensions given in the problem, we have:

Volume = Length x Width x Height

= 11 in x 9 in x 3 in

= 297 in^3

Therefore, the answer is (B) 297 in^3.

To understand this concept better, we can visualize a rectangular prism as a solid shape with six rectangular faces. The length, width, and height correspond to the dimensions of the three pairs of opposite faces.

To find the volume of the prism, we can imagine filling it with small cubes of unit volume. The number of cubes required to fill the prism gives us its volume.

In this case, we need 11 rows of cubes, each containing 9 cubes, and each row having a height of 3 cubes. Therefore, the total number of cubes required is 11 x 9 x 3 = 297. Hence, the volume of the rectangular prism is 297 cubic inches.

Overall, understanding the concept of volume and how to calculate it is crucial in various fields such as engineering, physics, and architecture.

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Answer: (x-2)(x-1)=x²-3x+2

Step-by-step explanation:

\((x-2)(x-1)=\\(x-2)x-1(x-2)=\\x^2-2x-x+2=\\x^2-3x+2=0\)