Calculate the future value of an investment of $2300, after 7 months, earning 6.6% APR, compounded monthly, by compounding manually.

The perimeter of the polygon with vertices X(-1,3), Y(3,0), and Z(-1,-2) is approximately 14.47 units when rounded to the nearest hundredth.

To find the perimeter of the polygon with vertices X(-1,3), Y(3,0), and Z(-1,-2), you first need to calculate the length of each side of the triangle formed by these points. You can do this by using the distance formula:

[tex]d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

For side XY:

d(XY) = [tex]\sqrt(3 - (-1))^2 + (0 - 3)^2}[/tex]

[tex]\sqrt{{16 + 9}[/tex]

[tex]\sqrt{{25}[/tex]

= 5

For side YZ:

[tex]d(YZ) = \sqrt{((-1) - 3)^2 + (-2 - 0)^2}[/tex]

[tex]\sqrt{{16 + 4}[/tex]

[tex]\sqrt{{20}[/tex]

= 4.47

For side ZX:

[tex]d(ZX) = \sqrt((-1) - (-1))^2 + (3 - (-2))^2}[/tex]

[tex]= \sqrt{0 + 25}[/tex]

= 5

Now, sum the lengths of the sides to get the perimeter:

Perimeter

= d(XY) + d(YZ) + d(ZX)

= 5 + 4.47 + 5

= 14.47

So, the perimeter of the polygon is approximately 14.47 units, rounded to the nearest hundredth.

To find the volume of a paperweight given its mass of 50g and density of 2.5g/cm³, you can use the formula Volume = Mass/Density. After substituting the given values into the formula the result is 20 cm³.

The question is asking to find the volume of a paperweight given its mass and density. The formula used to find the volume when mass and density are given is: Volume = Mass/Density. Given that your paperweight has a mass of 50g and a density of 2.5g/cm³, you can use this formula to find volume.

First, substitute the values into the formula:

Volume = 50g / 2.5g/cm³

This calculation gives you a volume of 20 cm³. So, your paperweight takes up 20 cubic centimeters of space.

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Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]5x-9\leq 21[/tex]

solve the inequality

[tex]5x\leq 21+9[/tex]

[tex]5x\leq 30[/tex]

[tex]x\leq 30/5[/tex]

[tex]x\leq 6[/tex]

The solution is the interval----------> (-∞,6]

All real numbers less than or equal to [tex]6[/tex]

The solution of the inequality is the shaded area to the left of the solid line

see the attached figure

The improper fraction of the given expression is [tex]\frac{44}{9}[/tex].

A fraction with a numerator greater than or equal to the denominator is said to be improper. The denominator is the lower number, and the numerator is the top number. When you have wholeness or more than one whole, you can have improper fractions. Here are a few instances of incorrect fractions:

7/5 18/18 100/13

We can see the number of pieces we have in the numerator and the number of parts we are dividing by in the denominator. In the case of an improper fraction, like the first one mentioned above, there are seven parts, each of which is a fifth of the whole.

The improper fraction of [tex]4 \frac{8}{9}[/tex]  [tex]=[/tex] [tex]\frac{(9*4)+8}{9}[/tex]  

                                               [tex]=[/tex] [tex]\frac{36+8}{9}[/tex]

                                               [tex]=[/tex] [tex]\frac{44}{9}[/tex]

Hence, the improper fraction of the [tex]4 \frac{8}{9}[/tex] is [tex]\frac{44}{9}[/tex] .

To learn more about improper fractions

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Question (1)

When the divisor is a decimal, what must we do?              

1) Multiply the divisor by 10, or 100, or 1000, etc., according to the number of decimal digits, so that it becomes a whole number.

 2)Multiply the dividend by the same power of 10.

Question (2)

When asked to add or subtract decimals, the most important step is to line up the decimal points. Step 1: Line up the decimal points so that similar place values are lined up. In other words, the tens place in both numbers should be lined up, the ones place in both numbers should be lined up, etc.

Question (3)

To multiply decimals: Set up and multiply the numbers as you do with whole numbers. Count the total number of decimal places in both of the factors. Place the decimal point in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.

Answer: It will take [tex]\dfrac{40}{9}=4\dfrac{4}{9}[/tex] hours to fill the pool.

Step-by-step explanation:

Since we have given that

Number of hours first pump takes = 8 hours

Number of hours second pump takes = 10 hours

If both pumps are opened at the same time,

Work done by first pump = [tex]\dfrac{1}{8}[/tex]

Work done by second pump = [tex]\dfrac{1}{10}[/tex]

According to question,we get that

[tex]\dfrac{1}{8}+\dfrac{1}{10}\\\\=\dfrac{5+4}{40}\\\\=\dfrac{9}{40}[/tex]

So, it will take [tex]\dfrac{40}{9}=4\dfrac{4}{9}[/tex] hours to fill the pool.

Answer:

In the division problem,

The number which is divided is called dividend,

While, the number which divides, is called divisor,

Let dividend = 150 ( a three digit number ),

Divisor = 15 ( a number between 10 and 12 ),

So, the problem would be,

[tex]150\div 15[/tex]

In the below figure,

Take a grid that shows 150,

Divide this grid such that each box represents 15,

Thus, there are such 10 boxes,

That is,

[tex]150\div 15 = 10[/tex]

1. p+6

2.a =13*8 = 104

3.b = 96/12 = 8

4.c= 2.3*9 = 20.7

5.d = 5.2*6 =31.2

6. h = 0.74/0.74 = 1

7. k = 0.38*1 = 0.38

8. n = 0

9. w = 3.12/4 = 7.8

10. a = 0

Final answer:

To find the number of children wearing helmets correctly, multiply 2/5 by 8,159 to get the number of children wearing helmets, then multiply that result by 13/20 to get the number of children wearing helmets correctly, which is approximately 2,134.

Explanation:

The student's question involves mathematical computations to determine how many children were wearing helmets correctly out of a surveyed group. The data provided indicates that 2/5 of the 8,159 children were wearing helmets, and out of those, 13/20 were wearing the helmets correctly. To calculate the exact number of children wearing helmets correctly, we should perform the following steps:

Calculate the number of children wearing helmets: (2/5) × 8,159 = 3,263.6, which we can round down to 3,263 children, since we cannot have a fraction of a child.

Calculate the number of children wearing helmets correctly: (13/20) × 3,263 = 2,134.95, which we can round down to 2,134 children wearing helmets correctly.

Therefore, approximately 2,134 children were wearing helmets correctly.

Answer:

X = 3

Step-by-step explanation:

to answer this question you must isolate the X. Meaning you must get it by itself.

To get the x by itself you must minus 5 from BOTH sides. This will get the x by itself. That will be your answer

X = 3

Floor: 24 * 48 = 1152 square inches

Tile: 8^2 = 64 square inches each

1152/64 = 18 

 18 tiles are needed

Answer:

The answer is 1.5

Step-by-step explanation:

The number -√17 is an irrational number and is part of the set of real numbers.

The number -√17 belongs to the set of real numbers. However, because this number is the square root of a positive number (17) and is multiplied by negative sign, it is not a rational number, but rather an irrational number.

It is part of the real numbers because the set of real numbers includes all numbers that can be plotted on a number line, including integers, rational numbers (numbers that can be expressed as a quotient of two integers), and irrational numbers (numbers that cannot be expressed as a quotient of two integers).

It is specifically an irrational number because the square root of 17 is a non-repeating, non-terminating decimal, and when we multiply this by a negative sign, the numerical value itself does not change, only its direction on the number line.

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Another way in which the cards Can be placed is 13 rows of 4 cards each.

The total Number of playing cards in a deck = 52

In other to place equal number of cards in a number of rows;

Evaluating the options given :

15 × 4 = 60 (False)

13 × 4 = 52 (True)

18 × 3 = 54 (False)

16 × 3 = 48 (False)

Hence, the other way in which the cards Can be placed is 13 rows of 4 cards each.

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