Question 3 (1 point)
The Base of a prallelogram is is multiplied by 3 and the height is multiplied by 6. The area of the new paralellogram is multiplied by

Answer:

Step-by-step explanation:

13 Choose 4 / (52 * 51 * 50 * 49)

The order you choose the hearts does not matter. The total number of ways of choosing 4 hearts in any order is

13!/(4!9!) / (52!/48!)

13*12*11* 10

=========       = 715

24

52 * 51* 50 * 49 = 6497400      This is the number of ways you can draw 4 cards in no order.

P(4 H) = 715 / 6497400

P(4H) = 0.00011

Since we have been given a slope and a y-intercept, we can conclude the graph is a line.

The slope-intercept form of an line equation is as follows:

Where m is the slope and b is the y-intercept.

Since we have been given these, we can write the equation for this line as:

To draw a line, we need two points only. Since we have the equation, we can choose any value of x and input into it to get is corresponding y value. We can also do it the other way around.

Let's choose x = 0 and x = 1, for example.

For x = 0, we will have the y value:

Thus, we have the point x = 0, y = -2, that is, (0, -2).

For x = 1, we have:

So, we have the point x = 1, y = 0, that is, (1, 0).

Now, we can plot these points and connect them to graph the line:

Monthly payment for United bank = $1207.70, monthly payment for capitol bank =$1834.62. Total interest from United bank = $75600 and from capitol bank = $135000.

Total interest is determined by the addition of all the interest payments.

United bank offers mortgage at an APR of 4.2%

APR means annual percentage rate.

mortgage is offered for the period of 15 years.

initial principal amount of Marcy = $120000

we need to determine the monthly payment from United bank.

at first, we will determine the rate of interest per month.

monthly interest rate = (4.2) / (100 × 12) = 0.0035

1 year = 12 months

15 years = 15×12 = 180 months

monthly payment is calculated by the formula = [rate + (rate) / {(1+rate)∧month}⁻¹] ×principal

monthly payment = [ 0.0035 + (0.0035) / {(1+0.0035)∧180}⁻¹] ×120000

                          = $1207.70

from united bank monthly payment = $1207.70

Now we calculate the monthly payment from Capitol bank.

APR for capitol bank = 4.5%

number of years for which mortgage is issued = 25 years

number of months = 12×25 = 300.

monthly interest rate = (4.5) / (100×12) = 0.00375

monthly payment for capitol bank = [0.00375 + (0.00375) / {(1+0.00375)∧300}⁻¹] × 120000

                 = 1834.62

monthly payment from Capitol bank = $1834.62

total interest from Capitol bank = principal money × yearly interest rate × time period.

Total interest = 120000 × 4.5/100× 25

                        = $135000 for the Capitol bank

Total interest from United bank = principal amount × yearly interest × time period

            = 120000× 4.2/100 × 15

total interest from united bank   = $75600

United bank has lower total interest.

difference in monthly payment = 1834.62 - 1207.70

                                                   = 626.92 dollars

To learn more about annual percentage rate visit:

https://brainly.com/question/13358341

#SPJ1

Answer:

The line drawn has a length of 6.4 cm.

Also it is divided into 4 equal parts.

Hence let the measure of the each equal part be ' x '

So x * 4 parts = 6.4 cm

=> x = 6.4 cm / 4

=> x = 1.6 cm

Hence the measure of each equal part is 1.6 cm.

Hence solved !

Step-by-step explanation:

Answer:

9/4

Step-by-step explanation:

1 2/7=9/7

2 1/3=7/3

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

9/7+7/3x+3/14+x=9

18/14+3/14+7/3x+3/3x=9

21/14+10/3x=9

10/3x=9-21/14

10/3x=9-3/2

10/3x=18/2-3/2

10/3x=15/2

x=(15/2)/(10/3)

x=(15/2)(3/10)

x=45/20

simplify

x=9/4

Answer:

x=4

Step-by-step explanation:

thats the answer ^^

Answer:

its the second one

Strategic planning is an essential process for any organization that wants to succeed and achieve long-term success. It involves identifying long-term organizational goals, strategies, and resources that will help the organization reach its objectives.

This process requires a comprehensive assessment of the organization's current and future needs, including its strengths and weaknesses, opportunities and threats, and the external environment. Once identified, the organization must develop and implement a plan to achieve its goals and objectives. This involves setting objectives, developing and implementing strategies and tactics, and allocating resources in a way that will maximize the organization's chances of success.

Learn more about Strategic planning: https://brainly.com/question/24864915

#SPJ4

The value of z test statistics is 2.83.

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. The range of Z-scores ranges from -3 standard deviations (which would be on the far left of the normal distribution curve) to +3 standard deviations (which would fall to the far right of the normal distribution curve). You must be aware of the mean and population standard deviation in order to use a z-score.

Given mean = x = 36.1 inches

standard deviation = σ = 0.3

sample size = n = 72

and μ = 36.1

here z = (x - μ)/(σ/\(n^{1/2}\))

z = (36.1 - 36 )(0.3/\(72^{1/2}\))

z = 0.1/0.0354

z = 2.8248

z = 2.83

Hence the value of z test is 2.83.

Learn more about z score;

https://brainly.com/question/29992635

#SPJ2

The amount that Bob will have on deposit after seven years is
$ 313,742,585,000.

What is compound interest and how is it calculated?
Interest that is added to a loan or deposit sum is known as compound interest. The interest calculated on the principle and the interest accrued over the prior period is known as compound interest. It differs from simple interest in that simple interest does not take the principal into account when calculating the interest for the following month. In math, compound interest is typically represented by the letter C.I.
Mathematically, the amount A after the compound interest is imposed can be calculated as:
Amount, A = P [1 + (r/t)]ⁿ, where P = principal, r = rate of interest, t =  number of times interest is compounded per year, n = time in years.

Given, the principal Bob shall deposit = P = $ 5000
Rate of interest paid to Bob in percentage = r =12
Number of times interest is compounded per year = t = 1
Time of deposit in years = n = 7
Let the amount that Bob will have on deposit after seven years be = A
Substituting all the given values in the formula established in the literature part, we get,
A = 5000 [1 + (12/1)]⁷ = 5000*13⁷ = 313,742,585,000
Therefore, the amount that Bob will have on deposit after seven years is $ 313,742,585,000.

To learn more about this, tap on the link below:
https://brainly.com/question/24924853

#SPJ13

Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.

The number expression is:

= (70 + 12.8 + 30) + 6.1

As we know from the commutative property

a +  b = b + a

Applying commutative property in the number expression:

= (70 + 30+ 12.8) + 6.1

She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.

Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

Answer:

∠N° = 19°

∠M° = 35°

∠L° = 126°

Step-by-step explanation:

Total angle in a triangle: 180°

∠N° = x°

∠M° = ( 2x - 3 )°

∠L° = ( 7x - 7 )°

180 = N + M + L

180 = x + 2x - 3 + 7x - 7

180 = 10x - 10

10x = 180 + 10

10x = 190

Divide both side by 10

x = 19

∠N° = x° = 19°

∠M° = ( 2x - 3 )° = ( 2(19) - 3 )° = 35°

∠L° = ( 7x - 7 )° = ( 7(19) - 7 )° = 126°

Answer:

$ 3.25

Step-by-step explanation:

Answer:

The indicated angle is approximately 31 degrees

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos theta = adj/ hyp

cos theta = 12/14

Take the inverse cos of each side

cos ^-1 cos theta = cos ^-1 ( 12/14)

theta =31.00271913

The indicated angle is approximately 31 degrees

Answer:

Total intake in ML = 414 ml (Approx.)

Step-by-step explanation:

Given:

Apple juice intake = 2 oz

Chicken broth intake = 4 oz

Gelatin dessert intake = 3 oz

Hot tea intake = 5 oz

Find:

Total intake in ML

Computation:

1 oz = 29.5735 ml

Apple juice intake in ml = 2 x 29.5735

Apple juice intake in ml = 59.147 ml

Chicken broth intake = 4 x 29.5735

Chicken broth intake = 118.294 ml

Gelatin dessert intake = 3 x 29.5735

Gelatin dessert intake = 88.7205ml

Hot tea intake = 5 x 29.5735

Hot tea intake = 147.8675 ml

Total intake in ML = 59.147 ml + 118.294 ml + 88.7205ml + 147.8675 ml

Total intake in ML = 414.029 ml

Total intake in ML = 414 ml (Approx.)

Answer:

B.27

hope it's helpful

Answer:

B and D are the correct answers

27/36 = 3/4

108/4=27 27/36 = 3/4

Answer:

Step-by-step explanation:

plumber ones equation: y = 30x + 105

plumber two: y = 40x + 65

set the two equations equal to each other

30x + 105 = 40x + 65

solve for x

40 = 10x

4 = x

after 4 hours they will charge the same

Step-by-step explanation:

this is just a warm-up. almost everything is already there. you only need to put the numbers in.

so, what is unclear ?

please, tell me, so that I can help better.

the radius is always half of the diameter. or the diameter is twice the radius.

in our case : 12/2 = 6 cm.

the height is plainly written in the graph : 9 cm

Vcylinder = base area × height = pi×r² × height =

= 3.14 × 6² × 9 = 3.14×36×9 = 1,017.36 cm³

Vcone = 1/3 × Vcylinder = 1/3 × 1,017.36 = 339.12 cm³

The graph that shows the following system of equations and its solution is graph number C

A graph is the graphical representation of equations on a graph sheet

The given equations are

-4x-3y=4

4x-y=-4 Solving the equations

In equation 1

When x = 0

-3y = 4

y=-4/3                  (0, -4/3)

When y = 0

-4x = 4

x= -1            (-1, 0)

In equation 2 when x = 0

-y = -y = 4             (0, 4)

When y = 0

4x=-4 x=-1              (-1, 0)

When these coordinates are used to plot the graph, graph number is is obtained.

Learn more about graphs on  https://brainly.com/question/21981889

#SPJ1

Answer:

Constant Term

The term in a simplified algebraic expression or equation which contains no variable(s). If there is no such term, the constant term is 0.

Example:   –5 is the constant term in p(x) = 2x3 – 4x2 + 9x – 5

Answer:

(5, -3) is the midpoint of the line segment.

Step-by-step explanation:

To find the midpoint of the line segment, we need to find the average of value x and value y:

x = (4 + 6)/2 = 5

y = (-7 + 1)/2 = -3

So in conclusion, the midpoint of this line segment (4,-7) and (6,1) is (5, -3)

Note:

Point A have 4 as x, and -7 as y, and

Point B have 6 as x, and 1 as y.

Answer:

$580

Step-by-step explanation:

{371x(100-34)/100}+371=580

The original price (rounded to the nearest dollar) is $497.

In this problem, we need to identify what's the original price of the new mattress.

Since we know that the sale price is $371 and is 34% lesser than the original price, we need to add 371 and 34%.

Grab a calculator and add 371 and 34%

we get:

371 + 34% = 497.14

Now round it to the nearest whole number, we get: 497

This is how the answer gets 497.

Hope this helps :)

Answer:

x>15/7

Step-by-step explanation:

Answer:

A,B,C

Step-by-step explanation:

Just divide them hope this helps x

Step-by-step explanation:

if you are not sure check 3/4 into the equation

Answer:

6

Step-by-step explanation:

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

Learn more on Volume on https://brainly.com/question/27710307

#SPJ1

Answer:

Simple interest=1138.5

Step-by-step explanation:

Simple interest=23000×(5.4/100)×(11/12)

S.I=23000×0.054×(11/12)

S.I=1138.5

The rectangle has a length of 8 units along the top and bottom sides, and a height of 6 units along the vertical sides.

A rectangle is a four-sided flat shape with four right angles (90 degree angles) between the sides. It is a type of quadrilateral, which means a shape with four sides.

To find the length of the sides of the rectangle, we can use the distance formula:

d = √((x2 - x1)²+ (y2 - y1)²)

Using the coordinates (-4,4) and (4,4) for the two endpoints of the top side of the rectangle, we get:

d = √((4 - (-4))² + (4 - 4)²) = 8

Since the top side has length 8 and there are two top and two bottom sides of equal length, the perimeter is:

20 = 28 + 2L

where L is the length of one of the vertical sides. Solving for L, we get:

L = (20 - 2*8)/2 = 2

Therefore, the length of the vertical sides of the rectangle is 2 units.

To know more about rectangle visit:

https://brainly.com/question/15238546

#SPJ1

The length of rectangle is 8 units on the x-axis, and the width of rectangle is 4 units along the y-axis.

The whole distance encircling a rectangle's edge is known as its perimeter. It is the total of the measurements of the rectangle's four sides.

The formula for calculating the perimeter P of a rectangle with length L and width W is as follows:

P = 2L + 2W

According to question:

To find the length of the sides of the rectangle, we can use the distance formula:

\(d = \sqrt{((x_{2} - x_{1} )^2+ (y_{2} - y_{1})^2)}\)

Using the coordinates (-4, 4) and (4, 4)

\(d = \sqrt{((4 - (-4) )^2+ (4 - 4)^2)}\) = 8 units

L (length) = 8 Units

So, the length of the horizontal sides (x-axis) of the rectangle is 8 units.

then, the top side has length 8 and there are top and bottom sides are equal length, the perimeter is: P = (8+8) + 2W

20 = 16 + 2W

where, L is the length of one of the vertical sides. Solving for L, we get:

W = (20 - 16)/2 = 2

So, the length of the vertical sides (y-axis) of the rectangle is 2 units.

To know more about rectangle, visit:

brainly.com/question/15238546

#SPJ1