2000(12.05/12)^12(3.5)

Answers

Answer 1

Answer:

7358.13328517

Step-by-step explanation:


Related Questions

Select each angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z

Select each angle of rotation about the origin, (0, 0) that maps WXYZ TO W X YZ

Answers

The angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z are

180 degrees

540 degrees

900 degrees

How to find the angle of rotation

The transformation rule for an angle of 180 degrees is simply a reflection or a flip. This means that any object or figure that undergoes this transformation will be flipped over a line or axis.

The rule is (x, y) will become (-x, -y)

Where 540 degrees = 360 + 180

where 900 degrees = 360 + 360 + 180

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I need help on this cans someone help me plsssss

I need help on this cans someone help me plsssss

Answers

Answer:

Step-by-step explanation:

I need help on this cans someone help me plsssss

Answer:

I have answerd now you can mark him brainliest :D

Step-by-step explanation:

What’s
3.984
+ 17
? Help

Answers

Answer:

20.984

Step-by-step explanation:

Just do:

3.984

+17.000

17 plus 3 equals 20 and .984 + 000 is .984

So your answer is 20.984

If John had four pizzas and shared them equally to his three friends, how many slices will he have?

Answers

Answer:

Is this really college math?

He would have 8 slices of pizza

Step-by-step explanation:

8 * 4 = 32

32 / 4 = 8...

to find:

the number of slices John would have after distributing it among his friends.

solution

8×4=32

32/4

= 8

John would have 8 slices of pizza.

Find the dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2. (Let x, y, and z be the dimensions of the rectangular box.)(x, y, z) =

Answers

The dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.

Given that:

Total surface area of the rectangular box or cuboid = 100 cm²

A rectangular box with largest volume is a cube.

The total surface area of a cube = 6 times square of one edge length.

Let the edge length = given dimensions; x, y, z

So,

x = y = z

6x^2 = 100

x^2 = 100 / 6

x = √ 100 / 6

x = 10 / √ 6 cm

x = 2.449 cm

Hence, dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.

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Suppose the prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between $149,000 and $151,000 if the standard deviation is $1000

Answers

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices

3:Let f be a quadratic function such thatf(x) = ax +bx+c = a (x-h) + kIf k &lt; 0, for what values of

Answers

Answer:

O a=0

Step-by-step explanation:

In an arithmetic sequence, a3=15 and a8=0. What is the value of a5?

Answers

The value of a5 is 9

If x = y, then x – a = y – a represents the ________ property of equality.

Answers

Answer:

Subtractive Property of equality

Step-by-step explanation:

Since x = y, When you subtract anything from x, you must do the same to y for them to stay equal.

Answer:

Subtraction property of equality

Please look at the pic and help!!

Please look at the pic and help!!

Answers

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

The unemployment rate in the U.S. tends to be lower than in
other countries.
True or
False

Answers

It is not accurate to make a blanket statement that the U.S. always has a lower unemployment rate than other countries. The unemployment rates can differ significantly based on specific circumstances, making it important to examine the relevant data and context before drawing conclusions.

The statement "The unemployment rate in the U.S. tends to be lower than in other countries" is subjective and cannot be definitively categorized as true or false without further context and data analysis.

Unemployment rates vary across countries due to a multitude of factors, such as economic conditions, labor market policies, demographics, and government interventions. While it is true that at certain times the unemployment rate in the U.S. may be lower than in some other countries, it is not universally true in all circumstances.

Comparing unemployment rates between countries requires a comprehensive analysis of various factors and data points, including the specific time period, the methodology used for calculating unemployment, and the demographic and socio-economic characteristics of each country. Additionally, economic conditions can fluctuate over time, leading to variations in unemployment rates.

Therefore, it is not accurate to make a blanket statement that the U.S. always has a lower unemployment rate than other countries. The unemployment rates can differ significantly based on specific circumstances, making it important to examine the relevant data and context before drawing conclusions.

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translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5

Answers

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)

Answers

Answer:

(6.2, 8.8).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5 hours

Standard deviation = 1.3 hours

About 68% ...

By the Empirical Rule, within 1 standard deviation of the mean.

7.5 - 1.3 = 6.2

7.5 + 1.3 = 8.8

So in the format requested

(6.2, 8.8).

2. Expand the following expression: 7 (1 + f)

Answers

Hello!! I'm always here to help!!!

_____________________

7 (1+f) = 7 · 1 + 7f

= 7 · 1 + 7f

_____________________

Have a great day!!

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.

Answers

This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

How to determine the axis of symmetry and vertex of a quadratic function?

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

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Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5

The image shows a geometric representation of the function f(x) = x2 2x 6 written in standard form.

Complete the synthetic division problem below.
-1/2 7 5
What is the quotient in polynomial form?
A. X-5
B. 2x-5
C. 2x + 5
D. X + 5

Answers

)))C is the answer (((

The quotient of the synthetic division problem -1 | 2 7 5 in polynomial form is 2x + 5

How to determine the quotient?

The synthetic division problem is given as:

-1 | 2 7 5

Remove the number before the | sign

2 7 5

Remove the middle number

2 5

Introduce a variable starting from an exponent of 0 (let the variable be x)

2x¹ 5x⁰

Evaluate the exponents

2x 5

Express as sum

2x + 5

Hence, the quotient of -1 | 2 7 5 in polynomial form is 2x + 5

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Look at the figure. How many different labeled rays are shown?
A.)2
B.)10
C.)20
D.)8

Look at the figure. How many different labeled rays are shown?A.)2B.)10C.)20D.)8

Answers

B.) 10

The rays are
AB, BC, CD, DE
AC, BD, CE
AD, BE
AE

You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $4500 per month. You have access to an account that pays an APR of 8.4% compounded monthly.

Answers

The desired monthly yield at the retirement time will be equal to $565,714.28.

Compound Interest may be defined as the interest earned by the bank on the basis of principle and also accumulated interest which increases exponentially and not linearly with respect to time. In calculating compound interest, the amount earned at the end of first year becomes principle for the next year and so on. Compound interest can be calculated, annually, half-yearly or quarterly etc.

Time for which work is planned = 40 years, Principle = $4500 and APR = 8.4% = 0.084/12 = 0.007.

The value of n = 12 × 25 = 300

The amount can be calculated by the formula A = P/r [1 - (1 + r) ⁻ⁿ]

A = (4500/0.007) [1 - (1 + 0.007) ⁻³⁰⁰]

A = 642,857.14 [1 - 0.12]

A = 642,857.14 × 0.88

A = $565,714.28 which is required amount.

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Complete Question:

You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $4500 per month. You have access to an account that pays an APR of 8.4% compounded monthly. What monthly deposits are required to achieve the desired monthly yield at retirement?

(a) The area of a rectangular parking lot is 3657 m².
If the width of the parking lot is 53 m, what is its length?

Answers

Answer:

69 m

Step-by-step explanation:

\(\textcolor{steelblue}{\text{Area of rectangle= length ×width}}\)

Given that the area is 3657 m² and the width is 53 m,

3657= length ×53

Divide both sides by 53:

length= 3657 ÷53

length= 69 m

Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS

A
$432
B
$648
C
$2,160
D
$3,024

Natalya designed a patio for her backyard. The two bricksections will be the same size and concrete fills

Answers

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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Simplify (2x-3)(5x squared-2x+7)

Answers

To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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√38 I’m not sure how to solve these kinds of equations

Answers

Answer:

√38

Step-by-step explanation:

√38

step 1: Check which squared numbers can be multiplied by another number to get 38.

Start with these numbers: 4, 9, 16, and 25

Step 2: Testing out the numbers

√25 × __ = 25 can't be divided by 38

√16 × ___ = 16 can't be divided by 38

√9 × ____ = 9 can't be divided by 38

√4 × ____= 4 can't be divided by 38

Step 3: Answer

After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38

I hope this helps!

Two rectangles are similar. The first is 16 feet wide and 20 feet long. The second is 80 feet wide. What is the length of the second rectangle?

Answers

Answer:

100 feet long

Step-by-step explanation:

Answer:

length of second rectangle is

100 feet

I need help solving this problem please. The options are OD, DE, OE

I need help solving this problem please. The options are OD, DE, OE

Answers

Explanation:

The longest side of a triangle is the side opposite to the largest angles.

The angles of the triangles are,

\(\angle D=50,\angle O=110^{\circ},\angle E=20^{\circ}\)

Angle 0 is the largest angle and the side opposite to it is DE.

The longest side is DE.

Answer: DE

By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0​

Answers

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Felipe rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 86 cents for each mile driven. Felipe had to pay $270.79 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

421.4 miles

Step-by-step explanation:

Numner of miles= ($270.79-$17.95)/86 cents

= $252.84/$0.60

=421.4 miles

Pls calculate the areas ​

Pls calculate the areas

Answers

The area of the circle with a radius of 10 meters is given as follows:

314.16 m².

How to calculate the area of a circle?

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr².

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center. Hence, the diameter’s length is twice the radius length.

Considering the above concept, the measure of the radius for the circle in this problem is given as follows:

r = 10m.

Thus the area of the circle is given as follows:

A = π x 10²

A = 314.16 m².

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Determine all minors and cofactors of the matrix A given below (5)



2 −1 1 3

0 1 1 3

2 1 1 0

2 0 −1 −2


Answers

So, there i a LOT of calculating to do here. I will try to summarize:

A minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows and columns.

E.g the minor for a_11 is the matrix
1 1 3
1 1 0
0 -1 -2

The cofactor of an element is the minor but a factor, with that factor being (-1)^(i+j) where i and j are the row and column of the element

Which pair has 2 equivalent expressions?
A. 7g +3, g + g + 5g + 2 + 1
B. 3p + 2, 3p + 1 + 1 + 1
C. 6v - 2, 3v + 3v - 3
D. 4z + 2z, 4 + 2 + 2z

Answers

Athe answer is A,you group the like terms and add

Help ASAP!!!!
Please answer the questions below.

Help ASAP!!!!Please answer the questions below.
Help ASAP!!!!Please answer the questions below.

Answers

The derivative of y with respect to x in the equation is: dy/dx = -88x^7 / (132x^21y + 3y^2)

How to solve the equation

It should be noted that to find dy/dx, we need to differentiate both sides of the equation with respect to x, using the chain rule for the second term:

11x^8 + 6x^22y + y^3 = 18

Differentiating both sides with respect to x:

(11x^8)' + (6x^22y)' + (y^3)' = 0

Using the power rule, we get:

88x^7 + 132x^21y dy/dx + 3y^2 dy/dx = 0

Now, we can factor out dy/dx:

dy/dx (132x^21y + 3y^2) = -88x^7

dy/dx = -88x^7 / (132x^21y + 3y^2)

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