$21,023 is invested, part at 13% and the rest at 11%. If the interest earned from the amount invested at 13% exceeds the interest earned from the amount invested at 11% by $1045.31, how much is invested at each rate?

Given the perimeter, the numerical length of the rectangle is 49.5 inches.

Hence, option 3) 49.5 inches is the correct answer.

The perimeter of a rectangle is expressed mathematically as;

P = 2( l + w )

Given the data in the question;

Let "x" represent the width of the rectangle.

To determine the length of the rectangle, first plug the given values into the formula above and solve for x.

P = 2( l + w )

132 = 2( 3x + x )

Apply distributive property

132 = 2(3x) + 2(x)

132 = 6x + 2x

132 = 8x

8x = 132

x = 132/8

x = 16.5

Now, the length of the rectangle will be;

Length l = 3x

Length l = 3( 16.5 )

Length l = 49.5 inches

Given the perimeter, the numerical length of the rectangle is 49.5 inches.

Hence, option 3) 49.5 inches is the correct answer.

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Consumer Price Index for Urban Wage Earners and Clerical Workers (CPI-W) .

Describe the CPI-W?

The Consumer Price Index for Urban Wage Earners and Clerical Workers (CPI-W) is a monthly indicator of how prices for a market basket of goods and services have changed on average over time for urban wage earners and clerical workers.

What distinguishes the CPI-U from CPI-W?

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The final answer is 2.8756 × [tex]10^{11}[/tex] is the football team's total payroll than the baseball team's total payroll.

The total payroll for a baseball team is 2.44 × [tex]10^{9}[/tex] dollars

The total payroll for a football team is 2.9 × [tex]10^{11}[/tex] dollars

How many more dollars is the football team's total payroll than the baseball team's total payroll

The total payroll for a football team = 2.9 × [tex]10^{11}[/tex] dollars = 290 × [tex]10^{9}[/tex]

The total payroll for a baseball team = 2.44 × [tex]10^{9}[/tex] dollars

To find the differentiate between foodball team payroll and the baseball team payroll subtract their payroll.

How many more dollars is the football team's total payroll = The total payroll for a football team - The total payroll for a baseball team

How many more dollars is the football team's total payroll = 290 × [tex]10^{9}[/tex] - 2.44 × [tex]10^{9}[/tex] = 287.56 × [tex]10^{9}[/tex] = 2.8756 × [tex]10^{9}[/tex] dollars

The main answer is 2.8756 × [tex]10^{11}[/tex] is the football team's total payroll than the baseball team's total payroll.

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Answer:

2+2=4, not 6

Step-by-step explanation:

The fraction that is equivalent to the given fraction is -5/3

From the question, we are to determine the equivalent form of the given fraction

The given fraction is 5/-3

From one of the properties of fractions, we have that

-x/y = x/-y

Thus,

We can write that 5/-3 is equivalent to -5/3 by the above property.

Hence, the fraction that is equivalent to the given fraction is -5/3

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Answer:

[tex]6x^8y^5[/tex]

Step-by-step explanation:

[tex]3x^2y^4 \times 2x^6y \text{ // We should remind ourselves of the rule: }a^m \times a^n = a^{m + n}\\\\\to (3 \times 2)(x^2 \times x^6)(y^4 \times y^1)\\\\\to 6(x^{2 + 6})(y^{4 + 1})\\\\\\\to 6x^8y^5[/tex]

Indira is having 34 tulips, 68 daffodils and 102 hyacinths , altogether 204 flowers in her spring garden.

Given, In Indira's springtime garden, there are three times more hyacinths than tulips and half as many daffodils as tulips.

let the number of tulips be = x

    the number of daffodils be = y

    the number of hyacinths be = z

hence according to the question,

tulips are (x) = 1/2 (y) = y/2

hyacinths are (z) = 3(x) = 3x

therefore, total flowers = 204

tulips ₊ daffodils ₊ hyacinths = 204

y/2 ₊ y ₊ 3x = 204

substitute x value in the above equation.

y/2 ₊ y ₊ 3(y/2) = 204

take LCM

y ₊ 2y ₊ 3y = 408

6y = 408

y = 408/6

y = 68

hence the number of daffodils is 68.

now substitute y value in x = y/2

x = 68/2

x = 34

now substitute x value in z= 3x

z = 3(34)

z = 102

hence we get the number of tulips,daffodils and hyacinths as 34 , 68 and 102 respectively.

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Using it's concepts, the domain of the composite functions are given as follows:

In a graph, the domain and the range are found as follows:

For the composite functions in this graph, we have that:

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Answer can not create a sample 2

Step-by-step explanation:

Nate's restaurant sold the greater amount of coffee.

The least common multiple of two numbers is the smallest number that is a multiple of both of them.

Given:

Nate's Diner coffee sold = 7/8

and, at Jeremiah's Pie shop

coffee sold = 528 / 606

= 176 / 202

=88/101

Now, making denominator equal by taking LCM(8, 101) which is 808.

So, Nate's coffee's sold = 707 / 808

and, Jeremiah's coffee sold =  704/808

Hence, Nate's restaurant sold the greater amount of coffee.

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The each side of the square will be 8.

Therefore, the area of ​​a rectangle with a height of 4 cm  and a length of 16 cm is 64 cm². Since a square is a rectangle with equal height and width, we need to find a number that when multiplied by itself equals 64... which is  the square root of 64. That's 8.8x 8 = 64.

A square is a two-dimensional planar object in geometry that has four equal sides and four equal but 90 degree angles. The characteristics of a rectangle and a square are fairly comparable, however a rectangle only has its opposing sides equal. Therefore, a rectangle is only referred to as a square if its four sides are of the same length.

A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.

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Answer:yes

Step-by-step explanation:

yes, the ratio 36:60 is equivalent to the ratio 9:15.

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Five and five hundred sixty -two thousandths written in expanded form, the result is 5 + (5 x 0.1) + (6 x 0.01) + (2 x 0.001).

Writing in expanded form means that we add the digits of a number after they are multiplied by the power of 10 that corresponds with their position.

Tens will be multiplied by 10

Tenths will be multiplied by 0.1

Hundredths will be multiplied by 0.01

Thousandths will be multiplied by 0.001

These numbers are then added to each other.

Five and Five hundred sixty -two thousandths is 5.562 and when written in expanded form it becomes:

5 + (5 x 0.1) + (6 x 0.01) + (2 x 0.001)

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Answer:

x=5

Step-by-step explanation:

-x + 8 = 3

-x = 3 - 8

-x = -5

x = 5

Hope this helps :)

Have a nice day!

The number of units sold decreased and it decreased by

%decrese =4.23%

This is further explained below.

Generally, the equation for is  mathematically given as

Number of sold 450 units in 2011

431 units in 2012

No of Sold units decrease, so the Percentage decreased.

[tex]\% \text { decrease } &=\frac{450-431}{450} \times 100 \\\\&=\frac{19}{450} \times 100 \\[/tex]

=4.23%

In conclusion, the percentage decrease is

%decrese =4.23%

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CQ

A vacuum cleaner dealership sold 450 units in 2011 and 431 units in 2012. Find the percent increase or decrease in the number of units sold.

Did the number of units sold decrease or increase?

What percent did it it decrease or increase?

Based on the number of times Drew dropped the thumbtack and the number of times it landed point up, the probability that the thumbtack lands points up is 27.6%

The probability that the thumbtack lands points up can be found by the formula:

= Number of times the thumbtack lands points up  / Number of total times the thumbtack was dropped by Drew x 100%

Solving for the probability of a thumbtack landing points up gives:

= 62 / 225 x 100%

= 0.2755556 x 100%

= 27.6%

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Answer: 220

Step-by-step explanation: 395-175=220

Answer:

e=570

Step-by-step explanation:

570-395=175

a) The coordinates of P and Q are; P = (0 , 4) , Q = ( -3 , 0).

b) The graph of  points P and Q is plotted.

c) The line 3y - 4x = 12 for values of x from -3 to 3 is drawn.

The equation of line is given as;

3 y - 4 x = 12

a) To calculate the coordinates on the line are P and Q.

Let x = 0  

3 y - 4 × 0 = 12

3 y + 0 = 12

y = 4

So, points P = (0 , 4)

Now, For y = 0;  

3 × 0 - 4 × x  = 12

0 -  4 × x  = 12

x = - 3

So, points Q = ( -3 , 0)

Thus, points are P = (0 , 4) , Q = ( -3 , 0)

b) points P and Q on the graph.

The graph of the points P and Q for the coordinates of  P = (0 , 4) , Q = ( -3 , 0) is plotted.

c) Draw the line 3y - 4x = 12 for values of x from -3 to 3.

The straight line for the values of  x are drawn.

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Answer:

-7

Step-by-step explanation:

The decimal 0.000000675 can be written as 6.75 x 10^-7 in scientific notation. To write a decimal in scientific notation, you need to count how many decimal places the decimal needs to be moved in order to get a number with 2 decimals after it (if that makes sense). In this case, you need to move the decimal point 7 places to the right, so the value of x is -7. The x value is negative if you need to move the decimal to the right and positive if you need to move the decimal to the left.

The values of the trigonometry will be:

If cosθ = 5/13, sin θ = 12 / 13.

If cosθ = 4, sec θ = 1/4.

Adjacent = 5

Opposite = 12

Hypothenuse = 13

It should be noted that cosθ = 5/13. This implies that adjacent / hypothenuse = 5/13.

The sin θ will be:

= Opposite / Hypothenuse

= 12 / 13

When cosθ = 4, sec θ will be the reciprocal. This will be = 1/4.

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Answer: Day 50

:-]

Step-by-step explanation: 20/0.4

Step-by-step explanation:

she starts with 20 pounds of rice (1 bag).

every day she uses 0.4 pounds.

to have 1.6 pounds left means she used 20-1.6 = 18.4 pounds.

so, the question really is : how many days until she used 18.4 pounds ?

that is

18.4 / 0.4 = 46

that means at the end of day 46 she will need to order a new bag.

It should be noted that the the characteristics of perfect square trinomial include:

A perfect square trinomial is a special polynomial consisting of three terms.

A perfect square trinomial is created by multiplying a binomial to itself.

Two of the terms in a perfect trinomial are perfect squares.

They can be used to solve quadratics by completing the square

It should be noted that a perfect square trinomial is an algebraic expression that is of the form ax² + bx + c, that has three terms.

It should be noted that it is obtained by the multiplication of a binomial with itself.

For example, it should be noted that x² + 6x + 9 is a perfect square polynomial that is obtained by multiplying the binomial (x + 3) by itself.

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What are the characteristics of perfect square trinomial

Based on the fact that Lila made a chart that had 8 rows and 4 columns, the number of spaces in the chart is 32 spaces.

Lila can use 8s factors or 4 factors to solve because both 8 and 4 are factors of 32.

The number of spaces can be found by the formula:

= Number of rows x Number of columns

= 8 x 4

= 32 spaces

Factors of 8 and 4 can be used for 32 because when a number is a factor of another number, then all the factors of the first number, are also the factors of the other number.

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5x5=25 , 25x5= 125.

5x5=25, 25x5= 125, 125x5=625, 625x5=3125, 3125x5=15625, 15625x5= 78125.

Answer:

5^10

Step-by-step explanation:

When multiplying exponents with the same base, we add the exponents

5^3  * 5^7

5^(3+7)

5^10

The cardinality of the set (A − C) n B is 35 .

We have given three sets A = {x | x ≤ N} where N is a natural number .

Then , set A will get values [tex]A= \{1,2,3,4,5......\}[/tex]

B = {x-5 < x < 105, x ≤ R} where R is a real number whose values is in domain of (- ∞ ,∞)

Then , set B will get values [tex]B=(-5,105)[/tex]

C = {x|x is a rational number, 10 < x < 80} rational number which can expressed in [tex]\frac{p}{q}[/tex] where [tex]q\neq 0[/tex] .

Then , set C will get values [tex]=(10,80][/tex]

According to the question

(A − C) n B [tex]=(\{1,2,3,4,5 ........\}-(10,80] \sqcap (-5,105)[/tex]

                  [tex]=\{1,2,3,4,5,6,7,8,9,10,81,82,83 .......\} \sqcap (-5,105)\\[/tex]

                ={1,2,3,4,5,6,7,8,9,10,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103, 104 ,105}

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Answer:3 and 1/4 +1 is 4 and 1/4 assuming the and means plus then it’s

4 and 3/4

Does this help?

Step-by-step explanation: