what is 882992+2899992237×2222÷29727

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

The yearly interest rate is raised to the amount of compounded periods minus one, and the starting principal amount is multiplied by both of these factors. The resulting value is subsequently deducted from the loan's entire original amount.

P = $5,000 for the principle (initial investment)

Annual interest rate equals 0.03 (as a decimal)

t = the number of years (10).

Euler's number is e = 2.718281.

A = the sum at time t, or A = P·(e(rt))

\(\sf A = 5000(2.718281^{(0.03\times10)})\)

\(\sf A = \$6,749.29\)

After 10 years, you'll have $6,749.29 in your account.

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Answer:

Step-by-step explanation:

Answer:

28.57

Step-by-step explanation:

hope this helps! :D

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

17 ft.

Step-by-step explanation:

Because 17x25=425

And 25-8=17

Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

<95141404393>

Answer:

11(2r+1)

16(2t+1)

9(4+c)

14(3k+2)

Step-by-step explanation:

no real way to explain besides factor them and take the largest common factor out

Answer:

1) 11(2r+1)

2) 16(2t+1)

3) 9(4+c)

4) 14(3k+2)

Step-by-step explanation:

Factor these expressions, find the GCF and divide the GCF on both the numbers, keep the numbers and put them in parenthesis and put the GCF on the outside of the parthensesis.

Step-by-step explanation:

The surface area increases by 100

if x y and z are side lengths and it is a rectangle.

Then finding the surface area would normally be 2xy+2yz+2xz

But then increasing each side length by a factor of 10 means multiplying it together

2x(10)y(10)+2y(10)z(10)+2x(10)z(10)

200xy+200yz+200xz and that is 100 times greater than the normal surface area.

Volume:

(x)(y)(z)=normal volume

x(10)y(10)z(10)=increased value

1000xyz=new volume

that is 1000 times greater than the previous volume

Hope that helps :)

Answer: 105

Step-by-step explanation: if you are using a calculator, simply enter 84÷80×100 which will give you 105 as the answer.

The data modelling function is Price required to recoup printing expenses is equal to 0.1 * (numbers of yearbooks sold) + 45.

A yearbook is a collection of images and text that is issued by an organisation once a year to remember and highlight the happenings at a particular school during the previous academic year. Yearbooks were used in elementary, middle, high, and college and university settings throughout the 20th century.

Using the information in the table,

\(n = 5\)

Σ\(x = 1175\)

Σ\(y = 145\)

Σ\((xy) = 41000\)

Σ\((x^2) = 287500\)

When these values are inserted into the formula,

\(m = (541000 - 1175145) / (5*287500 - 1175^2)\)

\(= -0.1\)

Therefore, the slope of the linear function is \(-0.1\).

\(b = y - mx\)

where we can use any of the data points. Let's use\((250, 20)\)

\(b = 20 - (-0.1*250)\)

\(= 45\)

Therefore, the y-intercept of the linear function is \(45\).

\(y = -0.1x + 45\)

Therefore,

Price needed to cover the costs of printing \(= -0.1*\)(number of yearbooks sold) \(+ 45\).

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Answer:

$0.75

Step-by-step explanation:

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

Answer: R=8

Step-by-step explanation: R-7=1, R+7=1+7, R=8.

The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

20

Step-by-step explanation:

The point B and C are opposite to each other.

A number line is a mathematical visual representation of numbers on a straight line. The digits on a number line are positioned sequentially at regular intervals throughout its length. It frequently appears horizontally and might go on forever in any direction.

As seen from the number line, point A is one unit left of -1 which is -2. Since each mark is a difference of 1 and to the left is a negative value, point B is midway between -1 and 0 is half of -1 which is -0.5, point C is midway between 0 and 1 is basically half of 1 which is 0.5 and point D is halfway between 1 and 2 is exactly that 1.5

As per the numerical values of the given points, the two that are opposites to each other are points B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is positive, thus they are opposites of each other.

Therefore, points B and C are opposite to each other.

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The given question is incomplete. Here is the complete question:

Which two points on the number line are opposites? A number line goes from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is halfway between negative 1 and 0. Point C is halfway between 0 and 1. Point D is halfway between 1 and 2.

Answer:

2/3

Step-by-step explanation:

The first roll gave you a 6.

The second roll can give you one of the following:

1, 2, 3, 4, 5, 6

Add 6 from the first roll to each of the second possibilities:

7, 8, 9, 10, 11, 12

Out of the 6 sums, 4 are less than or equal to 10.

p(sum ≤ 10) = 4/6 = 2/3

Answer: 2/3

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Answer:

Step-by-step explanation:

Answer: the sum of one interior angle and one exterior angle is 180. x+120=180. x=180-120. x=60°. sum of angles in a triangle is 180.

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

-12

Step-by-step explanation:

(-3)4

-3*4

-12

Elaborate ur question about - 34

The original price of the refrigerator was $400.

The statement "Julio bought a refrigerator on sale for $200 was one-half of the original price" can be translated into an algebraic equation as follows:

1/2x = 200

x represents the original price of the refrigerator.

This equation states that half of the original price is equal to $200 is the sale price that Julio paid.

To solve for x, we can multiply both sides of the equation by 2 gives us:

x = 2 × 200

x = 400

We can check this answer by verifying that half of $400 is indeed equal to $200 was the sale price that Julio paid.

We translated the verbal statement into an algebraic equation and solved for the unknown variable to find that the original price of the refrigerator was $400.

The phrase "Julio bought a refrigerator on sale for $200 was one-half of the original price" may be transformed into the following algebraic equation:

The initial cost of the refrigerator is 1/2x = 200x.

According to this calculation, Julio paid $200 for the item, which is equal to half of the original price.

By multiplying both sides of the equation by 2, we may find the value of x as follows:

x = 2 × 200 x

= 400

By confirming that half of $400 is actually equal to $200, which was the sale price paid by Julio, we can confirm this response.

The spoken statement was converted into an algebraic equation and the unknown variable was solved for in order to determine that the refrigerator's initial cost was $400.

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The correct expanded form for the following expression is 7/8 × 7/8.

The division of numbers into their component ones, tens, hundreds, thousands, ten thousand, and so forth creates the expanded form of the number. The expanded version of the number is the sum of each digit times its place value, which is used to represent the number. A number is broken down to show the value of each of its digits in order to be written in expanded form. 144 would then be converted to 100 + 40 + 4 = 144. It can be used to compute sums as well. When a number is expanded to show the value of each digit, it is written in expanded form. The numerical value of each digit in the number we are writing is represented using extended form.

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The probability of getting exactly one tail when a fair coin is tossed three times is 3/8.

Probability is the measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.

In the given question,

There are 8 possible outcomes, and we want to find the probability of getting exactly one tail. We can list the outcomes with exactly one tail as HHT, HTH, and THH.

So, the probability of getting exactly one tail is:

P(exactly one tail) = P(HHT) + P(HTH) + P(THH)

We know that each individual toss of a fair coin has a probability of 1/2 of resulting in either heads or tails. Using the multiplication rule of probability, we can find the probabilities of each of these outcomes:

P(HHT) = (1/2) * (1/2) * (1/2) = 1/8

P(HTH) = (1/2) * (1/2) * (1/2) = 1/8

P(THH) = (1/2) * (1/2) * (1/2) = 1/8

So, the probability of getting exactly one tail is:

P(exactly one tail) = P(HHT) + P(HTH) + P(THH) = 1/8 + 1/8 + 1/8 = 3/8

Therefore, the probability of getting exactly one tail when a fair coin is tossed three times is 3/8.

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Answer:

m = 3

Step-by-step explanation:

It is given that there are two triangles \(\triangle\)ABC and

\(\triangle\)ABC ~

Also, the sides are:

AB= 3

BC= 4

DE= 2m

EF= m+5 and

∠B≅∠E

Please have a look at the attached figure for \(\triangle\)ABC and

The triangles are similar so as per the property of similar triangles, the ratio of corresponding sides will be same.

i.e.

\(\dfrac{AB}{DE} = \dfrac{BC}{EF}\\\Rightarrow \dfrac{3}{2m} = \dfrac{4}{m+5}\\\Rightarrow 3 \times (m+5) = 4 \times 2m\\\Rightarrow 3m +15= 8m \\\Rightarrow 5m=15\\\Rightarrow m = 3\)

So, value of m = 3.

Answer:

\( \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} \)

Answer:

15/8

Step-by-step explanation:

2.5/2 = 1.25

1.25/2 = 0.625

2.5 - 0.625 = 1.875

1.875 = 75/40 = 15/8

Bulb 2 was activated 760 times throughout the process.

To calculate how many times light bulb #2 was activated, we must identify how many times it is activated in each process.

Based on the information provided, bulb two has the following activity.

According to the above, bulb #2 is activated 2 times each process. So to know how many times it is activated in total, we must multiply the number of times it is activated in each process by the total number of processes (380).

380 × 2 = 760

Note: This question is incomplete because the question is missing. Here is the question:

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Answer:

put it in the formula

Step-by-step explanation: