32 The area of a parallelogram is (32 + sqrt(2)) square feetIf the length of the base is (4 + sqrt(2)) feet, find the height of the parallelogram in simplest radical form

The difference between the amount in two cards of Sandra after 4 years will be $125.58 approx.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

For this case, Sandra has got 2 credit cards p and q. Calculating the final amount both card will have after 4 years:

Initial amount = p = $726.19

The rate of interest is r = 10.19% = 10.19/100 = 0.1019 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding semiannually, that means twice per year, thus, n = 2

Thus, the final amount in card p after 4 years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 726.19(1+0.1019/2)^{2 \times 4} \\\\a= 726.19 \times (1.05095)^8 \approx 1080.70\: \rm (in \: dollars)[/tex]

Initial amount = p = $855.20

The rate of interest is r = 8.63% = 8.63/100 = 0.0863 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding monthly, that means twelve times per year, thus, n = 12

Thus, the final amount in card q after 4 years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 855.20(1+0.0863/12)^{12 \times 4} \\\\a= 855.20\times (1.0071916)^{48} \approx 1206.28\: \rm (in \: dollars)[/tex]

Clearly card q has more amount than card p at the end of 4 years.

The difference is: 1206.28 - 1080.70 = 125.58 (in dollars)

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Answer:

I think it's B because it stops but keeps going.

Step-by-step explanation:

Answer:

your answer is 1,-2

Step-by-step explanation:

10y⁵ + 30y³ - 15y =

5y * 2y⁴ + 5y * 6y² + 5y * (-3) =

5y (2y⁴ + 6y² - 3)

Answer:

13.93

Step-by-step explanation:

find the mean
11.60 + 16.25 ÷ 2 = 13.93

Answer:

8-4+9+3+6-6=36 this is my answer

Answer:

A parallelogram by definition has 2 pairs of parallel sides.

A parallelogram could be:

____________

|                        |

|___________|

A rectangle in euclidean geometry has 4 right angles.

For example:

________________

|                                 |

|_______________|

However, a parallelogram may have 2 pairs parallel sides but not 4 right angles.

For example:

______________

\                              \        

 \______________\

Therefore, A parallelogram is not always a rectangle.

Hope this helps!!!

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The number of sides of a polygon with interior angles of  134° and 156° and each of the remaining angles as 151° is 12 sides.

The sum of the exterior angles of a polygon is 360°. For regular polygons the exterior angles are the same (congruent).

Therefore,

Interior angle  + exterior angle = 180°

Therefore,

156 + x = 180

x = 180 - 156

x = 24°

134 + y = 180

y = 180 - 134

y = 46°

180 - 151 = z

z = 29°

sum of exterior angle = 360 degrees.

Therefore,

360 - 46 - 24 = 290°

Then,

290 / 29 = 10

The number of sides = 10 + 2 = 12 sides

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Answer:

P = 45

Step-by-step explanation:

180 - 90 = 90

90 / 2 = 45

P = 45

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

=

Step-by-step explanation:

|-8|?|8|

8 ? 8
8 = 8
Hope this helps :)

Answer: 3:9, 1:3, 12:36

Step-by-step explanation: just multiply or divide your numerator and denominator by the same number. For the first one, I divided both 6 and 18 by 3, for the second I divided both 6 and 18 by 6, and for the last one I multiplied both 6 and 18 by 2. Hope this helps.

Answer:

x = 30

y = 115

Step-by-step explanation:

Suppose line m is parallel to line n:

65+y = 180 because they are supplementary angles

subtract 65 from both sides

y = 115

angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:

3x + 25 = 115 subtract 25 from both sides

3x = 90 divide both sides by 3

x = 30

Answer:

4

Step-by-step explanation:

To calculate the mean or average, add all the data point up and whatever the amount of data point there are is supposed to be divided by the sum of the data points. So in this case, 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. This is the sum of the data points. Now we have to divide by the amount of data points which is 7 (0 obviously has no value whatsoever).  28 divided by 7 is 4. The average/mean of the number of post made is therefore 4.

Hope this helps,

IShowSpeed's Right Hand Enthusiast

Answer:

yes it is less then a right angle

Step-by-step explanation:

The answers are

a)640-500

b) + 28%

Answer:

40 degrees

Step-by-step explanation:

(to find coterminal angles to a given angle, we add 360 degrees to the given angle or subject 360 degrees from the given angle any angle any number of time).

-1400 degrees is negative angl, so to get the coterminal angle between 0 degrees and 360 degrees ( the smallest positive coterminal angle), we must add multiples of 360 degrees until we get a possitive coterminal angle:

-1400 degrees+(360 degrees*4)

=-1400 degrees+1440

=40 degrees

so the answer is 40 degrees

Answer:

Step-by-step explanation:

17) B. They are adding 2 to both sides.

18) A. A segment is equal to itself.

19) D. They are multiplying both sides by 2.

20) C. They are simply swapping the left and right hand sides of the equation

Answer:

1.25

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Answer:

for profit percentage

p% =(sp-cp/cp)×100%

=(25-20/20)×100%

=25%

The profit percentage is 25%

Answer:

111.72

simplify multiply

⇒ 76% * 147

⇒ (76/100) * 147

⇒ 111.72

Answer:

Your answer is C and D

Step-by-step explanation:

Answer:

D. y = -x - 1

Step-by-step explanation:

   We are using slope-intercept form for this problem.

   Since this line is going from upper left to bottom right we know it will have a negative slope.

   The line intersects the y-axis at -1, so the b value is -1.

             The equation for this line is D. y = -x - 1

Answer:

81

Step-by-step explanation:

27 total of pupils.

girls 1×27=27

boys 2×27=54

total 54+27=81

Answer: 2194.00 and 2194.000

Step-by-step explanation: rounded to the nearest 1000= 2194.000

rounded to the nearest 100 = 2194.00

Answer:

x = 10.4

Step-by-step explanation:

This is a supplementary apple which means the angle is equal to 180 degrees. You do 180 - 128 which equals 52. Then you divide 52 by 5 to figure out "x". 52 divided by 5 equals 10.4. So x = 10.4.

To make sure, you can plug in "x" as 10.4. (5 * 10.4) equals 52. 52 + 128 equals 180.

Answer:

52

Step-by-step explanation:

180-128=52

the whole angle is 180

Answer:

Mode=8

This is because it occurs the most

Median

=8+8/2

=16/2

=8

Therefore, the median is 8

Mean= £x/n

=6+7+7+8+8+8+8+8/8

=60/8

=15/2

=7.5

Step-by-step explanation:

Please mark me brainliest if correct

The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The quantities of hours mary works over a time of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8.

Arrange the data in increasing order, then we have

6, 7, 7, 8, 8, 8, 8, 8

The mean of the data is given as,

Mean = (6 + 7 + 7 + 8 + 8 + 8 + 8 + 8) / 8

Mean = 60 / 8

Mean = 7.5

The median of the data is given as,

Median = {[8 / 2 + (8 + 2)/ 2] / 2}

Median = (4th + 5th) / 2

Median = (8 + 8) / 2

Median = 16 / 2

Median = 8

The mode of the data is given as,

Mode = Frequency of the number

Mode = 8

The range of the data set is given as,

Range = 8 - 6

Range = 2

The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.

More about the statistics link is given below.

https://brainly.com/question/10951564

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2x=3

x=3/2 =1.5