Prepare an amortization schedule for the first three months on a loan of $87,000 at 6% for 20 years.

Answer: 49 members

Step-by-step explanation:

     We will take the absolute value (their distance from 0) of both numbers and add them together. This will give us our final answer.

|33| = 33

|-16| = 16

33 + 16 = 49

            49 members voted.

Answer:

Step-by-step explanation:

49

The system of equation that models the problem is as follows;

x + y = 83

1.73x + 1.44y = 130.83

The number of fruit pies sold is 44 and the number of fruit juice sold is 39.

Mr Sanchez class sold fruit pies for $1.73 each and Mr Kelly's class sold bottles of fruit juice for $1.44 each.

Therefore,

let

x = number of fruit pies sold

y = number of fruit juice sold

Together, the class sold 83 items. Therefore,

x + y = 83

They sold a total of $130.83. Therefore,

1.73x + 1.44y = 130.83

x + y = 83

1.73x + 1.44y = 130.83

1.73x + 1.73x = 143.59

1.73x + 1.44y = 130.83

0.29x = 12.76

x = 12.76 / 0.29

x = 44

Therefore,

y = 83 - 44

y = 39

learn more on system of equation here: https://brainly.com/question/13958134

The ratio of the area of the first figure to the area of the second figure is 4:1

From the question, we are to determine the ratio of the area of the first figure to the area of the second figure

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

[tex](\frac{14 \ mm}{7 \ mm})^{2}[/tex]

[tex]= \frac{196 \ mm^{2} }{49\ mm^{2} }[/tex]

[tex]=\frac{4}{1}[/tex]

= 4:1

Hence, the ratio of the area of the first figure to the area of the second figure is 4:1

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Answer:

it's not fair

Step-by-step explanation:

... if Rebecca rolled the dice it's most likely going to give a 6 or a higher number if Blake rolled the same too would have happened thus it would be fair if the dice was 3 sided

Rebecca and Blake decide to roll a pair of fair 6-sided dice to determine who has to clean their dishes. If the sum is 5 or 6, then Rebecca will clean the dishes. If the sum is 8 or 9, then Blake will clean the dishes. If the sum is anything else, they'll roll again. This is a fair method of decision making by law of probability because both Rebecca and Blake are equally likely to wash the dishes.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Total number of observations in sample space when a pair of dice is rolled = 6² = 36

Number of observations where sum is 5 or 6 = 9

((1,4)(4,1)(2,3)(3,2)(1,5)(5,1)(4,2)(2,4)(3,3))

Probability that Rebecca will clean the dishes = 9/36 = 0.25

Number of observations where sum is 8 or 9 = 9

((2,6)(6,2)(3,5)(5,3)(4,4)(3,6)(6,3)(4,5)(5,4))

Probability that Blake will clean the dishes = 9/36 = 0.25

Since, the probabilities of Rebecca and Blake cleaning the dishes are equal, the method of decision making is fair.

Learn more about probability here

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#SPJ2

Answer:

109/150

Step-by-step explanation:

Answer: 109/150

6% = 6/100

6/100 = 18/300 (Multiply Numerator and Denominator by 3)

2/3 = 200/300 (Multiply Numerator and Denominator by 100)

200/300 + 18/300 = 218/300

218/300 = 109/150 (Simplify by Dividing Numerator and Denominator by 2)

Answer:

2000 metres

Step-by-step explanation:

1000 metres = 1 km

therefore, (1000×2) metres = 2 km

2000 metres = 2km

Answer:

The numbers added up together is 180, and divide 180 by 5 is 36.

1,6,5,4,6=22.

22/5=4.4

Step-by-step explanation:

You can look it online but as quoted,

"Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth." -IXL

Answer:

x = -2

Step-by-step explanation:

1) Distribute

4(x+5)=6(x+4)

4x+20=6(x+4)

2) Distribute

4x+20=6(x+4)

4x+20=6x+24

3) Subtract 20 from both sides

4x+20=6x+24

4x+20-20=6x+24-20

4) Simplify

- Subtract the numbers

4x+20-20=6x+24-20

4x=6x+24-20

- Subtract the numbers

4x = 6x + 24 - 20

4x = 6x + 4

5) Subtract 6x from both sides

4x = 6x + 4

4x - 6x = 6x + 4 - 6x

6) Simplify

- Combine like terms

4x-6x = 6x + 4 - 6x

-2x = 6x + 4 - 6x

- Combine like terms

-2x = 6x + 4 - 6x

-2x = 4

7) Divide both sides by the same factor

-2x = 4

-2x/-2 = 4/-2

8) Simplify

- Cancel terms that are in both the numerator and denominator

-2x/-2 = 4/-2

x = 4/-2

- Divide the numbers

x = 4/-2

x = -2

Answer:

7

Step-by-step explanation:

1) 1 m = 1000 mm, then to calculate the required time in months

2) 1000/12≈83.3 [months];

3) if 12 months=1year, then 83.3 months are 83.3/12≈6.94=7 [years].

Answer:

7C

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are interested in the last two columns.

If we compare them we see that each value of the distance column is the absolute value of corresponding value of difference:

Corect choice is C

Answer:

The distance is the absolute value of the difference.

Step-by-step explanation:

Given table:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} a & b & a+b & a-b & \sf distance\\\cline{1-5} 1 & 2 & 3 & -1 & 1 \sf \: unit\\\cline{1-5} 4 & -1 & 3 & 5 & 5 \sf \: units\\\cline{1-5} -6 & -3 & -9 & -3 & 3 \sf \: units\\\cline{1-5}\end{array}[/tex]

The difference is column 4.

The distance is column 5.

The absolute value of a number is its positive numerical value.  It is denoted by a vertical line either side of the real number.

For example, |5| means 'the absolute value of 5', and |-5| means 'the absolute value of -5'.

Taking the absolute values of the differences:

⇒ |-1| = 1

⇒ |5| = 5

⇒ |-3| = 3

Therefore, the distance is the absolute value of the difference.

Answer:

d(sum of twice a no and two)

Step-by-step explanation:

Answer:

correct answer is B

Step-by-step explanation:

two times the sum of a number and 2:

2(x+2), which is not correct

Answer:

Step-by-step explanation:

Question #1:

Area of a triangle = bh/2

A = (3)(6)/2 = 18/2 = 9 in²

Total A = 10 x area of a triangle

Total A = 10 x 9 = 90 in²

Question #2:

A = bh/2

Top 2 triangles: (20)(10)/2 x 2 = 200

Bottom 2 triangles: (20)(50)/2 x 2 = 1000

Total A = 1,200 in²

Question #3:

Total area = 2 triangles + 1 square

Triangle A: must find base

Triangle A = bh/2 = (2√5)(4) = 8√5

Square A =  bh = (4)(?)

The last one is very hard, can't find the square's base. I hope the rest of my answers help though! Have a nice day!

Answer:

  17

Step-by-step explanation:

The expression of interest is the difference of the two given expressions.

  (-4x +6y) -(-2x -7y) = (9) -(-8)

  -2x +13y = 17

The value is 17.

_____

Additional comment

You could go to the trouble to solve the two equations for x and y, then compute the value of the expression you want. As we saw above, that is not necessary.

The first step in problem solving is always "look at the given information and how it relates to what you are asked." A little time spent doing that can save a lot of effort in the actual problem solving process.

Answer:

4

Step-by-step explanation:

4 sheets of plywood X 9$=36$

60$-36$=24$

24$ is left over to buy boxes of nails at 5$ each

24/5=4.8

Derek can buy 4 boxes of nails.

Answer:

[tex] -\frac{1}{2}x^2-2x-5 [\tex]

Step-by-step explanation:

To convert it to standard form, all you need to do is expand the square and simplify. This would get us to: [tex]-\frac{1}{2}(x^2 + 4x + 4) - 3[/tex] which simplifies further to [tex]-\frac{1}{2}x^2-2x-2-3[/tex] and combine the -2 and -3 to get [tex] -\frac{1}{2}x^2-2x-5 [\tex]

Hope this helps :)

Answer:

10

Step-by-step explanation:

The least common denominator can be found by finding the LCM of the 2 denominators:

First let's list the multiples of the first denominator :

10,20,30,40,50

Now let's list the multiples of the second denominator :

5,10,15,20,25

As we can see the lowest number that appears in both lists is 10.

Therefore 10 is the least common denominator.

Hey there!

8 * (6 - 5)

= 8(6 - 5)

= 8(6) + 8(-5)

= 48 + (-40)

= 48 - 40

= 8

OR

8 * (6 - 5)

= 8(6 - 5)

= 8(1)

= 8

OR EVEN

8 * (6 - 5)

= (8 * ?) - (8 * ?)

= (8 * 6) - (8 * 5)

= 48 - 40

= 8

Thus, your answer is: (8 * 6) - (8 * 5)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

15.8

Step-by-step explanation:

I divided 190 by twelve and got 15.833333. The question said to round to one decimal place. So, I rounded to 15.8.

Answer:

shorter than, shorter than, will not

Step-by-step explanation:

First, we can find out the diagonal of the base of the box using Pythagoras' theory - a² + b² = c²

32² + 8² = 1088

c = √1088 = 32.984845

This means that the diagonal of the base of the box is shorter than the bat (32.984845 is less than 34)

Next, we can work out the interior diagonal, again using Pythagoras' theory - a² + b² = c²

32.984845² + 6² = 1124

c = √1124 = 33.52610923

This means that the length of the interior diagonal of the box is shorter than the bat (33.52610923 is less than 34)

Therefore, Julian's bat will not fit in the box.

Hope this helps!

The more accurate label for the x-axis of the Histogram should be the proportion of babies who love toys.

A chart label is a name given to the factors represented by the axis of a chart.

Typically, a chart has two axes. In some cases, three.

Regardless of the number of axes that a chart has, it is important to properly label them for purposes of comprehension and accurate representation of the data on them.

The referrenced chart is attached.

Learn more about Chart labels at:
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Answer:

the ansewr is eight percent

1.

(x+7)²

using (a+b)²=a²+b²+2ab

= x²+7²+ ( 2×x×7 )

= x²+49+14x

THEREFORE, x²+14x+49 is the answer

2.

4x²-1 = 0

= (2x)²-1² = 0

using a²-b² = (a+b) (a-b)

THEREFORE, (2x+1) (2x-1) is the answer

HOPE IT HELPS :)

well, since we'll be assuming a year has 365 days, well, 105 days is really just 105/365 of a year, and since you paid back 600, that means the interest was 50 bucks, 600 - 550 = 50.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$50\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{105}{365}\dotfill &\frac{21}{73} \end{cases} \\\\\\ 50 = (550)(\frac{r}{100})(\frac{21}{73})\implies 50=\cfrac{11550r}{7300}\implies 50=\cfrac{231r}{146} \\\\\\ 7300=231r\implies \cfrac{7300}{231}=r\implies \stackrel{\%}{31.6}\approx r[/tex]

Answer:

Step-by-step explanation:

Isolate the term of n from one side of the equation.

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

=1/2

n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

I hope this helps you! Let me know if my answer is wrong or not.