A principal of $3900 is invested at 8.5% interest, compounded annually. How many years will it take to accumulate $7000 or more in the account? (Use thecalculator provided if necessary.)Write the smallest possible whole number answer.yearsXS?

Answer:20%

Step-by-step explanation:

1500/75=20(%)

Answer:

It is most likely they did not read the same number of pages

Step-by-step explanation:

You would need to know the number of pages in each book but since it is unknown, Roberto does not know if he and Manny read the same amount.

Answer:

hopefully thats right

Step-by-step explanation:

All sides congruent; four right angles - square

all right angles; opposite sides congruent - rectangle

all sides congruent; no right angles - rhombus

opposite sides are parallel; no right angles - parallelogram

Answer:

All sides congruent;no right angles-Rhombus

All right angles;opposite sides congruent-Rectangle

All sides congruent;four right angles-Square

Opposite sides are parallel-Parallelogram

Step-by-step explanation:Evidence

Brainliest Me please

Answer:

8.5

Step-by-step explanation:

The sheet decreased by 1.5 meters and is now at 2.5 meters.

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

In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.

s = -0.25(6)+4

s = 2.5 meters

It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.

The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4

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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.

The variable s models the ice sheet's thickness (in meters) t

weeks after the beginning of spring.

s=−0.25t+4s=-0.25t+4

s=−0.25t+4

By how much does the ice sheet's thickness decrease every 6 weeks?

Answer:

So for the head and tails one it is 1/1 chance of getting a head and for the dice on it is 1/21 that's the porbability hopes this helps :)

Step-by-step explanation:

Probability of getting a head on the coin and a 4 on the die​ is 0.083.

Probability defines the likelihood of occurrence of an event. Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes

According to the question

A coin is flipped and a die is rolled

Probability of getting a head on the coin and a 4 on the die​:

Total Number of favorable outcomes(coin is flipped) = {H, T}  = 2

Number of favorable outcomes (head) = 1

Total Number of favorable outcomes(die is rolled) = {1, 2, 3, 4, 5, 6}  = 6

Number of favorable outcomes (4 on the die) = 1

P(head) = \(\frac{1}{2}\)

P(4) = \(\frac{1}{6}\)

P(head and 4) = \(\frac{1}{2}\). \(\frac{1}{6}\)

= \(\frac{1}{12}\)

= 0.083

Hence, Probability of getting a head on the coin and a 4 on the die​ is 0.083.

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Answer:

a = 10; b = 20; c = 10; d = 10√3

Step-by-step explanation:

For a 45-45-90 triangle, the ratio of the side lengths is

1 : 1 : √2

a = c = (10√2)/√2 = 10

For a 30-60-90 triangle, the ratio of the side lengths is

1 : √3 : 2

d = 10√3

b = 20

Answer:

------------------------

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

Answer: V= 65.4 units³

Step-by-step explanation:

The formula for volume for a sphere is \(V=\frac{4}{3} \pi r^3\).

Since we are given our diameter, we can find our radius.

2r=d

2r=5

r=2.5

Now that we have the radius, we can plug it into the formula to find volume.

\(V=\frac{4}{3} \pi (2.5)^3\)

\(V=65.4\)

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Complete Question

Let A be an n x n matrix, b be a nonzero vector, and x_0 be a solution vector of the system Ax = b. Show that x is a solution of the non-homogeneous system Ax = b if and only if y = x - x_0 is a solution of the homogeneous system Ay = 0.

Answer:

Step-by-step explanation:

From the question we are told that

    A is an  n × n matrix

   b is a zero vector

  \(x_o\) us the solution vector of  \(Ax = b\)

Which implies that  

     \(Ax_o = b\)

So first we show that

  if \(x\) is the solution matrix of \(Ax = b\)

  and  \(y= x-x_o\) is the solution of  \(Ay = 0\)

Then

    \(A(x-x_o) = 0\)

=>   \(Ax -Ax_o = 0\)

=>   \(b-b = 0\)

Secondly to show that

   if  \(y= x-x_o\) is the solution of  \(Ay =0\)

  then x is the solution of the non-homogeneous system

    \(Ax = b\)

Now we know that \(y = x-x_o\) is the solution of  \(Ay =0\)

So

     \(Ay = 0\)

=>  \(A(x- x_o) = 0\)

=>   \(Ax - Ax_o = 0\)

=>   \(Ax - b = 0\)

=>    \(Ax = b\)

Thus this has been proved

Carrie has 4 more pints of paint than Bryan.

Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.

To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.

Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.

Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.

To find the difference, we subtract Bryan's pint quantity from Carrie's:

24 - 20 = 4 pints.

Therefore, Carrie has 4 more pints of paint than Bryan.

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There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:

Step-by-step explanation:

x - 15 = 12

x = 27

Answer:

Refer to picture.

How to:

Put a dot at (0,2) for the +2 in the equation.

Go three spaces up and one to the right. Repeat this until you can make a line.

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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the answer os 60% of 20 is 12

Answer:

Step-by-step explanation:

force per unit area is called pressure.

radius=5/2 cm

area=π(5/2)²=25/4π

force=15 lbs

pressure=15÷25/4π=(15×4π)÷25=12π/5=2.4π lbs per square cm

To find the surface area of square OABC, we calculate the side length using the coordinates of point B, resulting in 25/16 units.

To find the surface area of square OABC, we need to determine the length of one side of the square. Since point B lies on the line with the equation y = -4x + 5, we can use this information to find the coordinates of point B and then calculate the distance between points O and B to determine the side length.

First, we need to find the x-coordinate of point B. Since we know the equation of the line y = -4x + 5, we can substitute y = 0 (since point B lies on the x-axis) and solve for x:

0 = -4x + 5

4x = 5

x = 5/4

Therefore, the x-coordinate of point B is 5/4.

Next, we substitute this x-coordinate back into the equation y = -4x + 5 to find the y-coordinate of point B:

y = -4(5/4) + 5

y = -5 + 5

y = 0

So, the coordinates of point B are (5/4, 0).

Now, we can calculate the distance between points O and B using the distance formula:

Distance = \(\sqrt{[(x2 - x1)^2 + (y2 - y1)^2]}\)

        = \(\sqrt{[(0 - 0)^2 + (5/4 - 0)^2]}\)

        = \(\sqrt{[(5/4)^2]}\)

        =\(\sqrt{ [25/16]}\)

        = 5/4

Since OABC is a square, all sides are equal in length. Therefore, the side length of square OABC is 5/4.

To find the surface area of the square, we use the formula:

Surface Area = \(Side Length^2\)

            =\((5/4)^2\)

            = 25/16

Therefore, the surface area of square OABC is 25/16 square units.

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The solution for x, is x= (3m - b)/2. (Option-d)

To solve for x in the given equation, m=(2x+b)/3, we can start by isolating x on one side of the equation.

First, we can multiply both sides of the equation by 3 to get rid of the denominator:

3m = 2x + b

Next, we can subtract b from both sides of the equation:

3m - b = 2x

Finally, we can divide both sides of the equation by 2:

x = (3m - b)/2

It's important to note that this is a linear equation with one unknown variable, and we can use algebraic methods to solve for the unknown variable. This equation may arise in many fields of study, including physics, engineering, and economics, among others.(Option-d)

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Answer:

c.

Step-by-step explanation:

Answer:

1 hour and 40 minutes

Step-by-step explanation:

im high asfff

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

x  =  -7 + √(73)

y  =  -7 - √(73)

Step-by-step explanation:

Product p = x × y = -24

Somme s = x + y = -14

Then

x and y are solutions to the equation:

z² - sz + p = 0

Then

x and y are solutions to the equation:

z² + 14z - 24 = 0

Using the quadratic formula:

x  =  ( -14 + √[(14² - 4×(1)×(-24)] ) / ( 2×(1) )  =  -7 + √(73)

and

y  =  ( -14 - √[(14² - 4×(1)×(-24)] ) / ( 2×(1) )  =  -7 - √(73)

Based on the graph given, that will show the same amplitude as function m is; graph D.

The cosine function is :

f(x) = Acos(kx) + M

And the functions are stands for amplitude, k is the angular frequency, M is the midline.

When the function is; m(x) = -2cos(x+π).

The absolute value of the amplitude will be;

2 x |-2| = 4

Therefore, the option that can have the requirement is Graph D.

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The volume of the solid is 250r³ when  the base of s is a circular disk with radius 5r.

Given that,

We have to discover the described solid's volume, v. The parallel cross-sections perpendicular to the base of s are squares, and the base of s is a circular disk with radius 5r.

We know that,

A cylinder is a solid with square cross sections parallel to the bases and circular bases. Its height is equal to the base circle's diameter.

The radius = 5r,

So the height = diameter = 10r

Volume of the cone is base × height= πr²×h

=π(5r)²×(10r)

=250πr³

Therefore, The volume of the solid is 250r³ when  the base of s is a circular disk with radius 5r.

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