each year a certain amount of money is deposited in an account which pays an annual interest rate of r at the end of each year the balance in the account is multiplied by a growth factor of x = 1 + r. 1,000 is deposited at the start of the first year, an additional 300 is deposited at the start of the next year and 500 at the start of the following year
1. write an expression for the value of the account at the end of three years in terms of the growth factor x
2. determine to the nearest cent the amount in the account at the end of three years if the interest rate is 4 %

Answer:

-12 -6x

Step-by-step explanation:

I did this by distributing

-6 x 2 = -12

-6 x x= -6x

-12 -6x is your final answer

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

the red point represents the moment when you return to your house, 8 time units after you originally left.

Let's assume that the graph represents the distance to your home as a function of time. (The x-axis represents time in time units and the y-axis represents the distance in distance units)

Then you can see how in the first 3 units of time you travel a certain distance from your home.

Then for the 3 next time units your position does not change, so you are in a fixed place.

In the next 3 time units you return to your house, here we reached the red point, which represents the moment when you return to your house, 8 time units after you originally left.

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The given statement is a descriptive statistic.

So, the statement "Robin expects to serve 12% fewer meals this year than last year" is a descriptive statistic.

Therefore, the given statement is a descriptive statistic.

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The probability that all the people will get their own coats back is 1/7.

Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates sureness. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A basic model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly plausible; the likelihood of "heads" rises to the likelihood of "tails"; and since no different results are conceivable, the likelihood of all things considered "heads" or "tails" is 1/2.

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Answer:

A=10. D=_3

Step-by-step explanation:

Start from 10 and make minus 3 every time

Answer:

x = -6

Step-by-step explanation:

3x + 8 = -10

3x = -10-8

3x=-18

divide both sides by the coefficient of x which is 3

3x/3 = -18/3

x = -6.

Answer:

b

Step-by-step explanation:

To find the percent of Cara's gross pay, divide what was deducted for Medicare tax by what her bi-weekly gross pay is.

So,

13.97 ÷ 735.18 = 0.019

Which means 1.9%

The value of the domain for f(2x) is 2 * 4 to 2 * 18 or 8 to 36.

The set of inputs that a function will accept is referred to as the domain of the function in mathematics. It is sometimes represented by the symbol dom(f), where f is the function.

The function f can be graphed in the Cartesian coordinate system in the specific case where X and Y are both subsets of R. In this instance, the graph's x-axis shows the domain as a projection of the function's graph there. It is a partial function in this instance, and the set of real numbers on which the formula may be evaluated to a real number is known as the natural domain or domain of definition of f.

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Thus coordiante of point H is(4,6)

The Midpoint Formula: The midpoint of two points,

(x1,y1) and (x2,y2) is the point

M=(x1+x2)/2 and (y1+y2)/2

(2+x2)/2=3

(6+y2)/2=6

solving above equation

x2=4

y2=6

Thus coordiante of point H is(4,6)

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The dimensions of the carpet are 73 x 43. = 3139.

In mathematics, a dimension is a way to quantify the size or separation of an area, an object, or a space inside one direction. In simpler terms, It is just the measurements of an object's length, width, and height.

Geometric figures can be created using any configuration of points, lines, or planes. Depending on their dimensions, geometric figures can be categorized as either a space figure, a surface figure, a line, another line segment, a ray, or a point.

The perimeter of the carpets = is 232.

The length of the carpet = 30 in.

In a rectangle, the edge is P = 2W + 2L

In this case 232 = 2W + 2L

Also, the 2nd sentence says L = W + 30

This length variable can be changed in the perimeter formula:

232 = 2W + 2(W+30)

232 = 2W + 2W + 60

232 = 4W + 60

172 = 4W

43 = W

Then, since L = W+30

L = 43+30 = 73

So the dimensions of the carpet are 73 x 43. = 3139.

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The MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.

For given question,

In 2001 there were 738,114 departures.

As we can see, 2001 was not a leap year.

So, the number of days in 2001 = 365

We find the number of departures per day in 2001.

738,114 / 365 = 2,022.23

So, approximately 2,022 departures per day.

Now we find the number of departures in an hour.

2,022 / 24 = 84.25

This means, approximately 84 departures per hour

We know that, 1 hour = 3,600 seconds

Now we find the mean number of seconds between departure time.

3,600 / 84 = 42.8

                  ≈ 43 seconds

Therefore, the MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.

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The basic unit of mass of the ball in the metric system is the gram.

The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.

Therefore, the basic unit of mass of the ball in the metric system is the gram.

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Answer: 250/43

Step-by-step explanation

Answer:

he would need seven weeks, i believe.

The area of the sheet of paper in correct metric units is 602.6c[tex]m^{2}[/tex].

A region's size on a plane or curved surface is expressed by the term "area," which is a mathematical concept. As opposed to surface area, which refers to the area of an open surface or the boundary of a three-dimensional object, plane region or plane area refers to the area of a form or planar lamina. Area can be thought of as the volume of material, at a particular thickness, required to create a model of the shape, or as the volume of paint required to paint the surface in a single coat. It is equivalent to the volume of a solid or the length of a curve in two dimensions (a three-dimensional concept).

Calculations:

The length of a 8 X 11 paper in metric unit is 27.9 cm and width of 8 X 11 paper in metric unit is 21.6 cm.

Area of sheet of paper=length*width

               =27.9*21.6

               =602.6 c[tex]m^{2}[/tex]

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​

Answer: 13.5

Step-by-step explanation:

First arrange the scores in order:

5, 5, 9, 12, 15, 23, 26, 27

**remove 1st and last number in the set of scores every time**

Median of 5, 5, 9, 12, 15, 23, 26, 27=

Median of 5, 9, 12, 15, 23, 26=

Median of 9, 12, 15, 23=

Median of 12, 15 =

**Take mean of remaining two numbers**

(12+15)/2=

27/2=13.5

Answer:

  16

Step-by-step explanation:

You want the middle of three consecutive even integers that have a sum of 48.

We can let x represent the middle of the three integers. Then the other two are (x -2) and (x +2), and their sum is ...

  (x -2) +x +(x +2) = 48

  3x = 48  . . . . . simplify

  x = 16 . . . . . . divide by 3

The middle integer of the three is 16.

__

Additional comment

As we see here, the average of the three integers is their sum divided by their number: 48/3 = 16. The middle of an odd number of consecutive integers will be equal to their average value. Hence, the middle integer must be 16.

8 is the least number of main courses that the restaurant should offer so that a customer could have a different dinner each night in the year 2003.

What are Integers in Math?

Let m be the number of main courses the restaurant serves, so 2m is the number of appetizers.

Then the number of dinner combinations is 2m *  m * 3=6m².

Since the customer wants to eat a different dinner in all $365$ days of 2003, we must have

                     6m² ≥ 365

                     m²   ≥   60.83

Also, year 2003 is not a leap year, because 2003 divided by 4 does not equal an integer. The smallest integer value that satisfies this is E = 8.

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Rich has to pay an interest of $1525.10  during the 4.5 year non payment period.

In the question

it is given that the Amount of loan taken by Rich = $7900

non payment time period = 4.5years

Interest charged during the non payment time = 4.29%

Interest charge for the first year = 4.29% of 7900

= 0.0429 * 7900                       ...(as 4.29% = 0.0429)

= 338.91

So , the interest charge for first non payment year = $338.91

to find the interest for 4.5 years , multiply the first year interest by 4.5.

So the interest charge for 4.5 years = 4.5*338.91

=1525.095

≅1525.10

Therefore , Rich has to pay an interest of $1525.10  during the 4.5 year non payment period.

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Yes, I would play the game, because the probability of winning is 13/18.

Probability:

Probability refer the possible occurrence of any particular event.

Given,

A game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you lose a dollar.

Here we need to find whether we able to play this one or not.

To find that one, first, we have to identify the winning scenarios,

Let us consider five winning scenarios. Lets represent the dice outcomes as A, B, C, and D, where your dice are A and B and the other player's are C and D. The five scenarios are:

1) A = B

2) A = C

3) A = D

4) B = C

5) B = D

We know that the total possible outcomes is 6^4. We can go through each scenario and count the possible outcomes. We must be careful to avoid overcounting.

Based on this,

The probability that none match is

=> 6*5*4*3/6^4

=> 360 / 1296

=> 5 / 18

So, probability of winning is,

=> 1 - 5/18

=> 13/18.

So, based on the probability the chance of winning is high. So, we can play it.

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Solution: 8x-4y+9

Step-by-step explanation:

Combine like terms

3x + 5x - 4y + 9

8x - 4y + 9

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute 0 for x and solve for y.

x-intercept(s): (−9/8,0)

y-intercept(s): (0,9/4)

Imani painted the wall most

Mary painted 3/4 of the wall

3/4 = 0.75

Tonya painted 5/4 of the wall

5/7 = 0.71

Imani painted 11/13 of the wall

11/13 = 0.84

Luz painted 11/17 of the wall

11/17 = 0.64

Imani painted the wall most

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Given hats are forming a conical shape and the volume of the cone will be 27.28 inches³.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Given that,

4 inches in diameter, 6.5 inches tall, slant height of 6.8 inches

So,

D = 4 inches

Now radius r = D/2

r = 4/2 = 2 inches.

Height h = 6.5 inches.

The volume of the conical bar is given as ;

(1/3)πr²h

So,

Volume = (1/3)π(2)²6.5

Volume = 27.28 inches³

Hence "The volume of the given conical-shaped hat will be 27.28 inches³".

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Answer:

10

Step-by-step explanation:

so just round to the ones below or above 5

Isabel can drive  510.875 miles with a gas tank that holds 15.1 gallons of gas.

Given that, Isabel’s car gets 33.5 miles per gallon

Her gas tank holds 15.1 gallons of gas

To find the Number of miles can Isabel drive on a full tank of gas

Let "x" be the miles drive with 15.1 gallons of gas

From given,

1 gallon = 33.5 miles

15.25 gallon = x miles

This forms a proportion and we can solve the sum by cross multiplying

1 × x = 15.25 × 33.5

x = 510.875

Thus, Isabel can drive 510.875 miles on a full tank of gas

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Answer:

The number is 15.

Step-by-step explanation:

Let n be the number.

[tex] \frac{1}{5} n + 21 = 2(n - 3)[/tex]

[tex]n + 105 = 10(n - 3)[/tex]

[tex]n + 105 = 10n - 30[/tex]

[tex]9n = 135[/tex]

[tex]n = 15[/tex]

Since a negative number's exponent is always positive, [(-4)⁴]⁵ will always be greater than -[(4¹²)³].

What is number system?

The Number System covers any of the several sets of symbols and usage guidelines for indicating numbers, which are used to indicate how many items are present in a particular group. Thus, the Roman numeral I, the Greek letter alpha, the first letter used as a numeral, the Hebrew letter aleph, or the modern number 1, which is nothing more than Hindu-Arabic in origin, can all be used to express the idea of "oneness."

A mathematical representation of the numbers in a given set is called a number system.

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The true statements are,

⇒ If the price is marked up 25%, the selling price will be $50.

⇒ If the selling price is $70, the price is marked up 75%.

What is the Cost price?

Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a service.

Given that:-

A Store bought jeans at a cost of $40 a pair.

If the price is marked up 25%, the selling price will be $50

⇒ 40 x 25 / 100 = 10

Selling Price = $50

Hence, This is true statement.

And, If the selling price is $70, the price is marked up 75%.

P = 70 - 40 = $30

40 x 75  / 100 = $30

Hence, This statement is true.

Therefore, the true statements are;

⇒ If the price is marked up 25%, the selling price will be $50.

⇒ If the selling price is $70, the price is marked up 75%.

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The complete question is this,

A store bought jeans at a cost of $40 a pair. Select all the statements that are true.

A. If the price is marked up 20%, the selling price will be $60.

B. If the price is marked up 25%, the selling price will be $50.

C. If the selling price is $65, the price is marked up 50%.

D. If the selling price is $70, the price is marked up 75%.