A 9,000 deposit for 4 years at a compound interest rate of 6%

Answer:

50

Step-by-step explanation:

Answer:

C. 2 \(\frac{1}{4}\)

Step-by-step explanation:

First, calculate the amount of clay that both groups used in total. We can find this by multiplying the amount by the number of students.

Used 3/4 of a pound:

3/4(4) = 3 pounds

Used 1/4 of a pound:

1/4(3) = 3/4 pound

Now, subtract:

3 - 3/4 = 2 and 1/4

Answer

i got it right

C. 2

Zeros:

x = -2

x = 6

Smaller zero: -2

Answer:

$8.75

Step-by-step explanation:

$4.50 × 2.5 = $11.25

$20.00 - $11.25 = $8.75 change

Answer:

376.990444... \(cm^{2}\) or 376.99 \(cm^{2}\) ( It says in terms of π so your answer is 120 π, sorry :) )

Hope this helps!

Step-by-step explanation:

To find the surface area of a cylinder you need to find the area of the 2 circles and the area of the rectangle.

The area of a circle is \(\pi\) × \(r^{2}\)

So, the area of one circle is \(\pi\) × 36 = 113.097335529...

113.097 × 2 = 226.194

The area of the rectangle is 4 × 2\(\pi r\) ( circumference of the circle is the rectangle's length )

The area of the rectangle is 4 × 12\(\pi\) = 4 × 37.699111... = 150.796444...

Add the area of the rectangle with the area of the 2 circles to get 376.990444... \(cm^{2}\).

The actual cost to see the game is $150, as that is the amount you paid for the ticket. The cost in this scenario can be considered an opportunity cost. By choosing to attend the game instead of selling the ticket for $400, you forgo the opportunity to earn that additional $400.

In this scenario, the cost of attending the game refers to the actual amount of money you spent on the ticket, which is $150. This is the out-of-pocket expense that directly affects your financial resources.

On the other hand, the opportunity cost is the potential benefit or value that you give up by choosing one option over another. In this case, if you had sold the ticket for $400, you would have received a higher amount of money, which represents the opportunity cost of attending the game. By deciding to go to the game, you forego the opportunity to earn that additional $400.

Opportunity cost is a concept in economics that emphasizes the value of the next best alternative forgone when making a decision. It helps assess the trade-offs involved in different choices and helps in evaluating the true cost of a decision beyond the immediate financial expenses.

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Answer:

18 units

Step-by-step explanation:

The base is 7-4 = 3 units

The height is 8 - 2 = 6 units

P = 2(b+h)

P = 2( 3+6)

P = 2(9)

P = 18

To determine the probabilities and classify the events, I would need more information about the survey data or the specific probabilities associated with each event. Without this information, I cannot provide accurate answers or classify the events.

The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

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Answer:

it is very simple we can answer it's to simple

Step-by-step explanation:

let me explain

for it is straight

for arb it is also simple you have to do arb because there is made triangle

prq there is also a triangle

now please mark me as brainlist

Answer:

Step-by-step explanation:

x^3 - 5x2 - 8x + 48 = 0

You haven't supplied a list . To confirm which value is the correct one substitute the values for x and see if the result is 0.

Since the last term is  48 you could try some of the factors of 48 :  1, -1, 2, -2, 3 -3  and so on.

Answer:

X= 1/2 y= -2/5. X+2y= -1/5.

The equation of the line passing through the point with coordinates (1/2, -2/5) and having slope -1/2 is:

y = -1/2x + b.

Substituting coordinates of the point in the equation, we get:

-2/5 = -1/2(1/2) + b => b = 1/5.

Therefore, the equation of the line is:

y = -1/2x + 1/5.

Step-by-step explanation:

Answer:

The difference is 8.75

Step-by-step explanation:

Plot the points or 7.25+1.5=8.75

The mass of salt in the tank at time t.

dS/dt = 10 - S/400

S(0) = 100 grams

The solution is S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

A tank holds water V(0) = 4000 liters in which salt S(0) = 100 grams.

So dS/dt = S(in) - S(out)

S(in) = 1 × 10 = 10 gram/liters

S(out) = S/V × 10 = 10S/V gram/liters

V = V(0) + q(in) - q(out)

V = 4000 + 10t - 10t

V = 4000 liters

dS/dt = 10 - 10S/V

dS/dt = 10 - 10S/4000

dS/dt = 10 - S/400

Now given; S(0) = 100.

Here, p(t) = 1/400, q(t) = 10

\(\int p(t)dt = \int\frac{1}{400}dt\)\(\int p(t)dt = \frac{1}{400}t\)

\(\mu=e^{\int p(t)dt}\)

\(\mu=e^{\frac{t}{400}}\)

So, S(t) = \(\frac{\int\mu q(t)dt+C}{\mu}\)

S(t) = \(\frac{\int e^{\frac{t}{400}} \cdot10dt+C}{e^{\frac{t}{400}}}\)

S(t) = \(e^{\frac{-t}{400}} \left({\int e^{\frac{t}{400}} \cdot10dt+C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({10\times\frac{e^{\frac{t}{400}}}{1/400} +C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({4000\times{e^{\frac{t}{400}} +C}\right)\)

Now solving the bracket

S(t) = 4000 + \(e^{\frac{-t}{400}}\)C.....(1)

At S(0) = 100

100 = 4000 + \(e^{\frac{-0}{400}}\) C

100 = 4000 + \(e^{0}\) C

100 = 4000 + C

Subtract 4000 on both side, we get

C = -3900

Now S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

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The complete question is:

A tank holds 4000 liters of water in which 100 grams of salt have been dissolved. Saltwater with a concentration of 1 grams/liter is pumped in at 10 liters/minute and the well mixed saltwater solution is pumped out at the same rate. Write initial the value problem for:

The mass of salt in the tank at time t.

dS/dt =

S(0) =

The solution is S(t) =

Answer:

The answer is C! :) hope that helps haha

Answer:

Pairs (0, 14) and (10, 0)

The solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3 and the solutions in part b hold for equation 4

There are three variables in the system

To solve the three variables, there must be at least three equations in the system of equations

Hence, the variables cannot be solved because the number of equations is not enough

We have:

3x + z + y = 8

5y - x = -7

3z + 2x - 2y = 15

Make x the subject in (2)

x = 5y + 7

Substitute x = 5y + 7 in (1) and (3)

3(5y + 7) + z + y = 8

15y + 21 + z + y = 8

16y + z = -13

3z + 2(5y + 7) - 2y = 15

3z + 10y + 14 - 2y = 15

3z + 8y = 1

Multiply 16y + z = -13 by 3

48y + 3z = -39

Subtract 3z + 8y = 1 from 48y + 3z = -39

48y - 8y + 3z - 3z = -39 - 1

40y = -40

Divide by 40

y = -1

Substitute y = -1 in x = 5y + 7

x = 5(-1) + 7

x = 2

Make z the subject in 16y + z = -13

z = -13 - 16y

Substitute y = -1

z = -13 - 16(-1)

z = 3

Hence, the solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3

We have:

4x + 5y - 2z = -3

Substitute x = 2, y = -1 and z = 3

4(2) + 5(-1) - 2(3) = -3

Evaluate

-3 = -3 --- this is true

Hence, the solutions in part b hold for equation 4

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Missing part of the question

The following equations are given:

Equation #1: 3x + z + y = 8

Equation #2: 5y - x = -7

Equation #3: 3z + 2x - 2y = 15

Equation #4: 4x + 5y - 2z = -3

Answer: The average difference of weights of all 48 eggs from mean eight is 0.08.

Step-by-step explanation:

The mean absolute deviation of a data interprets the mean distance between each data point and the mean.

When this distance goes larger it means data has greater variability

Given, 48 large eggs have a mean weight of 2.1 ounces and a mean absolute deviation of 0.08 ounces.

It means that the average difference of weights of all 48 eggs from mean eight is 0.08.

Answer: -3.5

Step-by-step explanation:

Answe

8x^2-26x+6

Step-by-step explanation:

Equation of the tangent plane is: 12(x-6) + 4(y-2) - 14(z-7) = 0

Correct answer is option C.

We need to first find the partial derivatives of the given surface with respect to x, y, and z.

∂f/∂x = 2x

∂f/∂y = 2y

∂f/∂z = -2z

Then, we can evaluate them at the given point (6, 2, 7):

∂f/∂x = 2(6) = 12

∂f/∂y = 2(2) = 4

∂f/∂z = -2(7) = -14

Equation of the tangent plane is;

12(x-6) + 4(y-2) - 14(z-7) + D = 0

where D is the constant we need to find by plugging in the point (6, 2, 7):

12(6-6) + 4(2-2) - 14(7-7) + D = 0

D = 0

Equation of the tangent plane is:

12(x-6) + 4(y-2) - 14(z-7) = 0

So the correct answer is option C.

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Answer:

\( {2}^{2} + {x}^{2} = {7}^{2} \\ {x}^{2} = 49 - 4 \\ x = \sqrt{45} \\ x = 6.708\)

Answer:

By using Pythagoras theorem we get

H²=p²+b²

7²=2²+x²

X²=7²-2²

X=√(49-4)=√45=3√5

Step-by-step explanation:

Given:

A line DF and its measure 5x + 7. Measure of DE = 7cm and measure of EQ = 4x + 3.

Required:

Find the length of DF?

Explanation;

From figure we can draw conclusion that

So, length of DF

Answer:

Length of DF = 22cm.

Answer:

coefficient

Step-by-step explanation:

the 4 is the coefficient

Answer:

The 4 one good luck in your homework bro I hope that your teacher will be surprised with you home work

Step-by-step explanation:

You will be the best in the class

Answer:

\(\boxed{\boxed{\tt x=74^{\circ}}}\)

Step-by-step explanation:

From the diagram given above, we see that ∠WXY and ∠YXZ are supplementary angles:

→ Supplementary angles are angles that add up to 180 degrees.

Therefore, \(\tt m\angle WXY+m\angle YXZ=180^{\circ}\)

\(\tt \angle WXY+\angle YXZ=180^{\circ}\)

\(\tt x+106=180\)

Subtract 106 from both sides:

\(\tt x+106-106=180-106\)

\(\tt x=74^{\circ}\)

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Answer:

the intergers include all negative whole numbers,zero,positive whole numbers

Answer:

the answer is 15. -9. 0. -3,128

Step-by-step explanation:

The money in the account at the end of the 4 years is $1034

What is compound interest?

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

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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