Use a calculator for this exercise.Chuong Ngo borrows $2100 from a bank that advertises a 8% simple interest rate and repays the loan in three equal monthly payments. Estimate the APR. Round to the nearest tenth of a percent. Use the Approximate Annual Percentage Rate Formula.

Answer: 7 boxes of pizza

Step-by-step explanation:

8x3=24

Answer:

David needs 3 pizzas.

Step-by-step explanation:

This is grammatically incorrect, but based on the information provided, I would infer that each student eats *only* 1/8 of a pizza. You would need 3 pizzas, as 3 x 8 =24.

Answer:

1. 3 packs of daffodils and 4 packs of tulips

2. then you would have 24 of each

3. $2.29

4. $37.54

5. $34.61

6.$2.93 was saved

7. 3 tulips

8. 12 daffodils

9. 9 tulips

10. 12 daffodils and 15 tulips

theres 3 left. ill let someone else do it

Step-by-step explanation:

3.   4.50*4=18            5.75*3=17.25

18+17.25 -> 35.25*.065=2.29 rounded

4. 35.25+2.29=37.54

5.  35.25-2.75->32.50*.065=2.11       2.11+32.50=34.61

6. 37.54-34.61=2.93

7. 6:8  -> 3:4  ratio -> 3:4

8. 8+4=12

9. 6+3=9

10. 24-12=12           24-9=15

1. 3 packs of daffodils and 4 packs of tulips

2. Then you would have 24 of each

3. $2.29

4. $37.54

5. $34.61

6.$2.93 was saved

7. 3 tulips

8. 12 daffodils

9. 9 tulips

10. 12 daffodils and 15 tulips

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.

Given

3.   4.50*4=18            

     5.75*3=17.25

     18+17.25 -> 35.25*.065=2.29 rounded

4. 35.25+2.29=37.54

5.  35.25-2.75->32.50*.065=2.11      

    2.11+32.50=34.61

6. 37.54-34.61=2.93

7. 6:8  -> 3:4  ratio -> 3:4

8. 8+4=12

9. 6+3=9

10. 24-12=12          

     24-9=15

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Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Option A is correct. The value of function (f/g)(x) is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3.

In mathematics, function composition is an operation in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

The new function obtained by performing f first and then g is the combination of two functions g and f.

Given:

f(x) = \(\sqrt[3]{3x}\)

g(x) = 3x + 2

(f/g)(x) =  \(\sqrt[3]{3x}\)/(3x+2)

Also, the denominator should not be equal to 0.

So, 3x + 2 ≠ 0

     x ≠  -2/3

Therefore, the value of function  is found to be  \(\sqrt[3]{3x}\)/(3x+2) where the condition is that  x ≠  -2/3. So, Option A is correct

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Answer:

Number of ways to select a president, vice president, treasurer and secretary = 11703240

Step-by-step explanation:

Total number of archaeology club members = 60

We have to select a president, vice president, treasurer and a secretary.

So the order of selecting each post holders matters,

Therefore, we have to find the permutation

Different ways to select these post holders = \(^{n}P_{r}\)

Where n = Total number of members

r = Number of posts

Number of ways = \(^{60}P_{4}\)

                            = \(\frac{60!}{(60-4)!}\)

                            = \(\frac{60!}{56!}\)

                            = \(\frac{60\times 59\times 58\times 57\times 56!}{56!}\)

                            = 60 × 59 × 58 × 57

                            = 11703240

In the quadratic function the interval(s) on which the function is increasing is x < 1

The terms increasing and decreasing intervals refer to the points when a function is increasing or decreasing. By examining the sign of each interval's first derivative of the function, these intervals can be assessed.

When a function's first derivative is:

For the quadratic graph, the vertex is the maxima having a value of (1, 3). The function is increasing from negative infinity to 1 as seen in the graph.

hence the correct answer is x < 1

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Multiplication of the given matrix is not possible by definition of matrix multiplication.

Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Expression for multiply,

⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]

Since, We can see that;

First matrix have order 1 x 6

And, Second matrix have order 1 x 4

We know that;

Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.

Hence, By given matrices we get;

Number of column in first matrix (6) ≠ number of rows in second matrix (1)

So, Multiplication of the given matrix is not possible by definition of matrix multiplication.

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Answer:16x16

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer: 18, 28, 38, 48, 58

Step-by-step explanation:

Answer:

18, 28, 38, 48, 58

Step-by-step explanation:

I think this is pretty self explanatory.

Answer:

10

Step-by-step explanation:

Answer:

sum is 19,999,998 and difference is 0

please brainleist my answer

Answer:

Step-by-step explanation:

The greatest number of 7-digits number is 9,999,999

The least number of 7-digits number........is 1,000,000

Their sum......................................................... is 10,999,999

Their différence ............................................. is  8,999,999

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Answer:

y = 2

Step-by-step explanation:

6y - 5 = 7

~Add 5 to both sides

6y = 12

~Divide 6 to both sides

y = 2

Best of Luck!

Answer:

2.16

Step-by-step explanation:

6y - 5 = 7

7 + 5 = 13

6y = 13

6y/6 = 13/6

y = 2.16

Answer:

The blue dot is -19

Step-by-step explanation:

Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.

We are going backward, so we can count backward.

We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.

The blue dot is -19

Answer: The blue dot equals to -19.

Step-by-step explanation:

On the number line, there are the numbers -10 & -4.

-7 would fit in the middle of them. That means the number line goes by minus 3.

Count -10 , -13, -16, then you get on the the blue dot which is -19.

Therefore, -19 is the answer.

The number of pennies that Anya has is equal to 15.6 pennies.

The number of dimes that Anya has is equal to 2.8 dimes.

In order to solve this word problem, we would assign variables to the number of pennies and dimes, the total number of coins, and then translate the word problem into algebraic equation as follows:

Note: 1 penny is equal to 0.05 dollar and 1 dime is equal to 0.10 dollar.

Therefore, translating the word problem into an algebraic equation, we have the following;

p = 10 + 2d                                ......equation 1.

0.05p + 0.1d = 1.06                   .......equation 2.

Substituting equation 1 into equation 2, we have:

0.05(10 + 2d) + 0.1d = 1.06  

0.5 + 0.1d + 0.1d = 1.06

0.5 + 0.2d = 1.06

0.2d = 1.06 - 0.5

0.2d = 0.56

Dimes, d = 0.56/0.2

Dimes, d = 2.8 dimes.

For the number of pennies, we have:

p = 10 + 2d

p = 10 + 2(2.8)

p = 10 + 5.6

p = 15.6 pennies.

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      Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

Similar shapes are enlargements of each other using a scale factor.

All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

The scale factors for length, area and volume are not the same.

From the given diagram,

 Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

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A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:   B = 27°  And since they are supplementary ( 180 degrees )

A will have to be 153°

So 27° + 153° = 180°

      B         A        

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

Answer:

1/6 is the answer and in decimal form if you need it that way is 0.16

How To get the answer step by step:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 8 by 8, and get 64.

Then we multiply 4 by 12, and get 48.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

64/96 − 48/96

Since our denominators match, we can subtract the numerators.

64 − 48 = 16

So the answer is:

16/96

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

16/96÷ 2 = 8/48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

8/48÷ 2 =4/24

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

4/24÷ 2 =2/12

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

2/12÷ 2 =1/6

2 is larger than 1. So we're done reducing.

There you have it! The final answer is:

8/12−4/8=1/6

Step-by-step explanation:

Hope this helped you

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Step-by-step explanation:

points on the line: (4, -2) & (-5, 3)

gradient of the line = -5/9

general equation for all straight lines: y = mx + c

substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c

therefore, c = 2/9

so the general equation is y = (-5/9)x + 2/9

Answer:

45 (-3 i + 2)

Step-by-step explanation:

Simplify the following:

(8 + 7) (-sqrt(-81) + 6)

Hint: | Evaluate 8 + 7.

8 + 7 = 15:

15 (-sqrt(-81) + 6)

Hint: | Express sqrt(-81) in terms of i.

sqrt(-81) = sqrt(-1) sqrt(81) = i sqrt(81):

15 (6 - i sqrt(81))

Hint: | Factor common terms from -(i sqrt(81)) + 6.

Factor 3 out of 6 - 9 i giving 3 (2 - 3 i):

15×(3 (-3 i + 2))

Hint: | Multiply 15 and 3 together.

15×3 = 45:

Answer: 45 (-3 i + 2)

The required graph is attached below.

Given that,

Quarterback Susie has a bad attitude and often gets fined for bad sportsmanship.

And the table of cost is given,

Cost of fine       Number of fines

    1                              1

    2                             4

    3                              1

We know that,

A graph is a form of figure used to show accumulated data. This data might be quantitative or qualitative, which means that graphs can be utilized for a variety of purposes.

This is why there are numerous sorts of graphs, such as bar graphs, line graphs, area graphs, pictographs, and others.

To plot this data,

Label number 0, 1 , 2, 3, 4... on a number line

Which represents the cost of fine in thousands of dollars.

And plot the graph according to the given data.

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We have the following equation from the line

We must remember that the equation of the line is expressed in the form y=mx+b, where a represents the slope of the line.

Since we are standing a line parallel to the line described in the previous equation, we must ensure that their slopes are exactly the same, so when identifying the slope of the equation, this same slope is used for a completely parallel line.

In conclusion, the slope of the line that is parallel to the line y = 2x + 5 is:

The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

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Answer:25, 30

Step-by-step explanation:add 5