Erin charged $900 on the current credit card this billing cycle. Erin pays $300 towards the balance by the due date, but is unable to pay the remaining $600. The balance of $600 carries over to the next billing cycle, but he must pay interest on this amount as well. If the APR is 15%, how much interest will be added to the payment for the next billing cycle?

Greetings from Brasil...

The perimeter is the sum of all sides of the triangle. In this case

P = (2X) + (X) + (4X - 9)

as P = 89

89 = (2X) + (X) + (4X - 9)

89 = 7X - 9

7X = 98

X = 98/7

X:

X meters = X = 14

---------------------------------------------

2X:

2X meters = 2 · X = 2 · 14 = 28

---------------------------------------------

(4X - 9):

(4X - 9) meters = (4 · X - 9) = (4 · 14 - 9) = (56 - 9) = 47

The image would also have two pairs of parallel sides

The given parameters are:

The translation transformation is a rigid transformation

This means that, it keeps the orientation that is being transformed

The initial figure has two pairs of parallel sides

Hence, the image would also have two pairs of parallel sides

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Answer:

6000 [tex]yd^{2}[/tex]

Step-by-step explanation:

Take the length and multiply it by the width.

100 x 60 = 6000

Answer:6,000 yards

Step-by-step explanation:

100 yards x 60 yards = 6,000yards

The number of combinations of five can the teacher choose from the eight questions is 56

The given parameters are

Total questions, n = 8

Selected question, r = 5

The number of combinations of five can the teacher choose from the eight questions is calculated using

Combination = [tex]^nC_r[/tex]

This gives

Combination = [tex]^8C_5[/tex]

Apply the combination formula

Combination = 8!/3!5!

Evaluate

Combination = 56

Hence, the number of combinations of five can the teacher choose from the eight questions is 56

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The length of one side of the square is x+6

The formula for calculating the area of a square is expressed as:

A = L^2

where

L is the side length of the square

Given the following parameters

A = x^2 + 12x + 36  square feet

A = (x+6)^2

(x+6)^2 = L^2

L = x + 6

Hence the length of one side of the square is x+6

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Answer:

Any Nber between 0-58 or 1-59

Step-by-step explanation:

Well you are already given the range which is 58. The question is asking for two number that are in the range. The range 58 means it can't be greater than 59. The range is how far apart the great y vaule is from the lowest y vaule.

Hope this helps!

Have any questions? Feel free to ask

Answer:

don't know that i'm looking for that to

450c > 900 + 250c;

For business to be profitable;

Selling price of daycare services > Cost price;

Payment for daycare of 1 child =  $450

Payment for daycare of 'c' children = $450 × c;

                                                       = $450c;

Operating cost for 1 child = $250;

Operating cost for 'c' children = $250c;

Total daily operating cost = $900 + $250c;

Therefore;

450c > 900 + 250c;

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Answer:

1. A = {x:x is the set of natural number <= 10}

2. E = {x:x is the set of natural number <= 8}

Answer:

i think the question might be wrong.

Answer:

The school should buy 39 packages.

Step-by-step explanation:

3198 notebooks

82 notebooks = 1 package

3198÷82 = 39

(Eg: you have 4 notebooks and there are 2 in each package. How many packages are there?  4÷2 = 2   So 2 packages)

Answer:

Step-by-step explanation:

multiplication no need to care about order

(-114)(52*4)

=(-114)(208)

=(-100-10-4)(200+8)

=-20000-800-2000-80-800-32

=-23712

The product of the given numbers is 23,712.

The given expression is (−114)(52)(−4).

We need to evaluate the given expression.

The rules for integer multiplication are as follows:

Now, (−114)(52)(−4) can be evaluated as follows:

(−114)×(52)=-5,928

So, (-5,928)×(-4)=23,712

Therefore, the product of the given numbers is 23,712.

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Answer: (a-7b)(a+8b)

Step-by-step explanation:

a² + ab - 56b²=

a² + 8ab -7ab - 56b²=

a(a+8b) -7b(a+8b)=(a-7b)(a+8b)

Answer:

  see attached

Step-by-step explanation:

You want a Venn diagram that represents the flavor preferences of 135 students.

The diagram you show is a good start. It usually works best to start by filling in the center spot, where all three circles overlap. You have correctly identified the number liking all three flavors as 15.

Working outward, the next step is to fill in the numbers for those who like two flavors. These numbers already include the number who like all three. This means ...

  caramel + vanilla (only) = (caramel + vanilla) (28) - (caramel +vanilla +chocolate (15)

  caramel + vanilla (only) = 28 -15 = 13

Similar computations are done for the other "likes 2 only" spots on the diagram:

  chocolate + caramel (only) = 31 -15 = 16

  chocolate + vanilla (only) = 22 -15 = 7

In like fashion, the numbers for one flavor only need to subtract out the numbers already inside the circle for that flavor.

  chocolate (only) = 63 -16 -15 -7 = 25

Finally, the number of students having no preference is found by subtracting the numbers inside the parts of the circles from the total number of students:

  no preference = 135 -111 = 24

The attachment shows the completed diagram.

Answer:

-3 + 5i

Step-by-step explanation:

We can remove the parentheses

2 + i - 5 + 4i

Collect the like terms and do the math

-3i + 5i

10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.

To convert 10.6% to a fraction in the lowest terms, we divide the percentage by 100 and simplify if necessary.

10.6% can be written as 10.6/100.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10.6 in this case.

10.6/100

= (10.6 ÷ 10.6) / (100 ÷ 10.6)

= 1/9.43

Since 1 and 9.43 do not share any common factors other than 1, the fraction 1/9.43 is already in its lowest terms.

Therefore, 10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.

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Answer:

x is 4 and y is 1

So we put 3 x 4 + 1

if it's equal 1 (since y is 1)

but in this case it equals 13 so it's wrong

Answer:

see explanation

Step-by-step explanation:

to determine if (4, 1 ) is a solution of the equation, substitute the x and y coordinates into the equation and if both sides are equal then it is a solution.

y = 3(4) + 1 = 12 + 1 = 13 ≠ 1

since y ≠ 13 then (4, 1 ) is not a solution to the equation

The solution to the given inequality is -10 < x < 5.

To solve a compound inequality involving the and operation, we solve each inequality, then find the intersection of these solutions.

For this problem, the inequality is given by:

-12 < 0.5(4x + 16) < 18.

Multiplying all the terms by 2:

-24 < 4x + 16 < 36

Hence:

4x + 16 > -24

4x > -40

x > -10.

4x + 16 < 36

4x < 20

x < 5

The intersection of these two solutions is:

-10 < x < 5.

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The Shorter route as per the bearing calculations is taken up by Julia.

What is a bearing?

Bearing calculations are illustrated below:

Route Taken up by Anna

360-330= 30°

First angle =90-30= 60°

Second angle= 60+(90-40) =110°

Third angle= 180-(110+30)= 40°

Route taken up by Julia:

First angle =20°

Second angle= 300-(180+20)=100°

Third angle=180-(20+100)=60°

Hence, the Shorter route as per the bearing calculations is taken up by Julia and bearing diagram is attached with the solution as an image.

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a meal can be chosen is 546 different ways.

Step-by-step explanation:

f(x) = 2x

g(x) = -8x + 2

h(x) = x² + x + 3

= f(g(6))

= 2x

= 2.(-8x + 2)

= 2.(-8.6 + 2)

= 2.(-48 + 2)

= 2.(-46)

= -92

= g(h(-4))

= -8x + 2

= -8.(x² + x + 3) + 2

= -8.((-4)² + (-4) + 3) + 2

= -8.(16 - 1) + 2

= -8.15 + 2

= -120 + 2

= -118

= g(f(x))

= -8x + 2

= -8.(2x) + 2

= -16x + 2

Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.

Given that;

To determine the numerical value of the expression, replace all the occurrence of a and b with -3 and 4 in the respectively and simplify.

√361 - 2a² - [b - 17]

√361 - 2(-3)² - [(4) - 17]

√361 - 2(9) - [4 - 17]

√361 - 18 - [-13]

√361 - 18 + 13

19 - 18 + 13

1 + 13

14

Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.

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Answer: 800

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

The width of the rectangle = 10 ft

The length of the rectangle = 15 ft.

The formula for the perimeter of a rectangle is given as:

Perimeter = 2(length + width).

Let x represent the width of the rectangle

Width of the rectangle = x

Length of the rectangle = x + 5

Perimeter of the rectangle = 50 ft

Thus, we would have the following equation:

2(x + 5 + x) = 50

2(2x + 5) = 50

4x + 10 = 50

4x = 50 - 10

4x = 40

4x/4 = 40/4

x = 10

Width of the rectangle = x = 10 ft

Length of the rectangle = x + 5 = 10 + 5 = 15 ft.

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Answer:

Given d = 75, respectively,

135

Step-by-step explanation:

[tex]2\left(75\right) = 2 \cdot 75\\= 150\\\\\sqrt[3]{-45\left(75\right)}\\\left(75\right)=75\\\sqrt[3]{-45\cdot \:75}\\45\cdot \:75=3375\\\sqrt[3]{-3375}\\\sqrt[3]{-3375}=-\sqrt[3]{3375}\\-\sqrt[3]{3375}\\-\sqrt[3]{15^3}\\\sqrt[3]{15^3}=15\\=15\\\\=150-15\\=135[/tex]

Answer:

-6

Step-by-step explanation:

1 x -5 is still -5, and the do .2 x -5 = -1 -1+-5= -6

The state income tax owed on a $30,000 per year salary is $1,524

What are the applicable tax rates?

The applicable tax rates are that the first $2,000 of taxable income is taxed  at 2%, such that $9000 minus the earlier $2000, is taxed at 5% and any taxable income beyond $9,000 is taxed at 5.4%, in essence, the income tax owed by a taxpayer whose taxable income is $30,000 is computed thus:

income tax on first threshold=$2000*2%=$40

income tax on second threshold=($9000-$2000)*5%=$350

income tax on the last threshold=($30,000-$9,000)*5.4%=$1,134

total state income tax owed=$40+$350+$1,134

total state income tax owed=$1,524

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Option E:

This graph is not a function because the value of y is the same for every value of x

Solution :

Domain:

The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined. In the function machine metaphor, the domain is the set of objects that the machine will accept as inputs.

For example, when we use the function notation f:R→R, we mean that f is a function from the real numbers to the real numbers. In other words, the domain of f is the set of real number R (and its set of possible outputs or codomain is also the set of real numbers R).

relation represents y as a function of x

1) is NOT a function of if there are two or more points with the same − , but

− .

2) is a function of if each has a different

There is a technique called the vertical line test that is often used to determine if a graph represents y

as a function of x

In this question only a horizontal line is present.

Option E:

This graph is not a function because the value of y is the same for every value of x

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The correct answer is option D.

The polygon ABCD can be mapped on to WXYZ but first it must be enlarged and then it must be mirrored along BC.

The mirror image of ABCD along BC must be enlarged with a scale factor of 2 to map ABCD to WXYZ.

The scale factor is the ratio of the the object to be transformed to the object with which it is to be compared.

Here, the scale factor is 2 and we must enlarge the image of ABCD along BC to get the desired mapping.

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Answer:

120

Step-by-step explanation:

60 gallons of 30% antifreeze means there are 18 gallons of antifreeze.

Let the number of gallons of 60% antifreeze be x. Then,

[tex]\frac{0.6x+18}{x+60}=\frac{1}{2} \\ \\ 1.2x+36=x+60 \\ \\ 0.2x=24 \\ \\ x=129[/tex]