Sally's balance on her credit card is $75.00 on the first day of august. she makes a payment of $18.00 on august 17 and
a new purchase of $41.00 on august 29. the annual interest rate is 21.25%. what is sally's average daily balance and
finance charge for the month of august?

Answer:

Step-by-step explanation:

1-6

3-2

4-1

Answer

2 =1

3=1.4

Step-by-step explanation:

hb=2A

b=2·5

10=1

hb=2A

b=2·14

20=1.4

Step-by-step explanation:

2 .) Using Pythagorean Theorem,

    [tex]a^{2} + b^{2} = c^{2}[/tex]

    [tex]5^{2}+ 10^{2} = c^{2}[/tex]

     [tex]25 + 100 = c^{2}[/tex]

      [tex]125 = c^{2}[/tex]

      [tex]\sqrt{125}= c[/tex]

       [tex]11 . 18 = c[/tex]

3.) Using Pythagorean Theorem,

     [tex]a^{2} + b^{2} = c^{2}[/tex]

     [tex]a^{2} + 14^{2} = 20^{2}[/tex]

     [tex]a^{2}= 20^{2}- 14^{2}[/tex]

      [tex]a^{2} = 400 - 196\\a^{2} = 204[/tex]

      [tex]a = \sqrt{204}[/tex]

       [tex]a = 14.28[/tex]

The 4 steps to solve an equation:

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Because he invented geometry, Euclid, a renowned mathematician, is frequently referred to as the father of geometry.

Constructions using a compass and a straightedge were a focus of classical geometry. Euclid, who brought mathematical rigour and the axiomatic technique still in use today, transformed geometry. Up until the middle of the 20th century, all educated people in the West were familiar with his book, The Elements, which is usually regarded as the most important textbook of all time.

Current geometric notions have undergone a high level of abstraction and complexity as well as calculus and abstract algebra techniques, resulting in several modern sections of the science that are hardly recognizably descended from early geometry.

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Answer:

Its proportional

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

36/3 = 12

60/5 = 12

96/8 = 12

Craig's savings is c-48=16

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given:

Let craig's savings be c then we have c-48=16

                                                                  c=64

Hence, craig's savings is 64

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Answer:

I can't comment, but we can't see what we are supposwd to bw doing

Exact solution are - 1.2, -1, -0.1, 0.75 and approximate solution are -0.012, -0.01, -0.001, 0.0075.

The solution that has no uncertainly is known as exact solution. On the other hand, the solution that has some confusion is termed as approximate solution.

exact solution, y = - 1.2

                         m = - 1

                       n= - 0.1

                      w = 0.75

approximate solution in nearest hundredth,

                          y = - 0.012

                       m = -0.01

                      n = - 0.001

                   w = 0.0075

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Determining the cause of the problem, characterizing the problem, identifying, prioritizing, and choosing potential solutions, as well as putting the solution into action, all have values of 83 for f.

-74 f = -6,142 ⇒ f = -6,142 / -74 ⇒f = 83 .

One-step equations can be solved using any one of the following four methods: adding, subtracting, multiplying, or dividing. Both sides of an equation will stay equal if the same integer is added to both sides. A mathematical expression should be evaluated according to a rule known as the order of operations.

The PEMDAS acronym can help us recall the following in that order: parentheses, exponents, multiplication and division (left to right), addition and subtraction (from left to right). A balance scale is like an equation. The scale (or equation) will become out of balance if we add or subtract from one side. Mathematical equations must ALWAYS be balanced such that both sides are equal when the equation is completed.

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The measure of 100 inches is given by the equations ,

100 inches = 2.77778 yards

100 inches = 8.33334 feet

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 100 inches   be equation (1)

Now , the measure of 1 inch = 0.08333 feet

So , the measure of 100 inches = 100 x measure of 1 inch

Substituting the values in the equation , we get

The measure of 100 inches = 8.33334 feet

And , 1 inch = 0.0277778 yard

So , the measure of 100 inches = 2.77778 yards

Hence , the measure of 100 inches is 8.33334 feet

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Answer:

First you do what is in the parentheses.

2+4= 6

The equation is now:

6(6) -1 / 2 *3 + 1 =

Then you do the division:

-1 / 2 = -0.5

6(6) (-0.5) * 3 + 1 =

3 + 1 = 4

-0.5 * 4 = -2

The equation is now:

6 * 6 * -2

6 * 6 = 36

36 * -2 = -72

The value of c would be 4.

What are similar triangles?

Similar triangles are triangles that have the same shape, but not necessarily the same size. In other words, the angles of similar triangles are congruent (congruent means the angles are equal in measure) and the corresponding sides are in proportion.

In the given figure, ΔGHF and ΔGDE,

∠G ≅ ∠G ---- Common angle

Side GH ≅ Side GH ---- Corresponding side

∠F ≅ ∠E -----Each 90°

so ΔGHF ~ ΔGDE-----ASA Test

sides of similar triangles are in proportion

GH/HF = GD/DE

5/c=10/8

c=5*8/10

c = 4

Hence, the value of c would be 4.

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The common denominator of y + [(y - 3)/3] in the complex fraction {y + [(y - 3)/3]}/(5/9 + 2/3y) is 5y + 6.

The Latin word "nomen," which also appears in words like "nominate" and "nomenclature," is the root of the English word "denominator," which means "name." And that's essentially what a fraction's denominator does: it "names" or denotes the kind of fraction that is specified by the numerator (the top part).

step1

{y + [(y - 3)/3]}/(5/9 + 2/3y)

multiply and divide with ‘9y'

9y/9y.{y + [(y - 3)/3]}/(5/9 + 2/3y)

9y.y + 9y.y - 3/3 / 9y(5/9) + 9y(2/3y)

9y.y + 3y(y - 3) / 9y(5/9) + 9y(2/3y)

9y.y + 3y(y - 3) / y.5 + 9y.2/3y

9y2 +3y2 -9y / 5y +6

12y2 - 9y / 5y + 6

The denominator will be 5y + 6

step2

The common denominator of y + [(y - 3)/3] in the complex fraction {y + [(y - 3)/3]}/(5/9 + 2/3y) is 5y + 6.

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As consumerism is wiping out American society, Sasse claims that young people have based their achievements and achievements on material goods.

He said parents influenced this by creating a population of young people who are empty in spirit and who will lead American society to grow without direction and positioning.

To support this claim, he provides details on how the country did not encouraged the children to have experiences, conquer and walk their paths, thereby resisting consumerism and presenting the rewards of hard work.

What is the central idea of the Vanishing American Adult?

Sasse tried to explore the causes of a generation that can't grow up in "The Vanishing American Adult" and offers a path for raising children to be active and engaged citizens.

He identifies core formative experiences that all young people should pursue: hard work to appreciate the benefits of labor, travel to understand deprivation and want, the power of reading, the importance of nurturing your body, and how parents can encourage them, and explains how they can be encouraged.

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The area of a (equilateral) triangle with side 8cm is 16√3cm^2.

What is a triangle and its types?

A figure which has a three-sided closed figure is called a triangle.

Types

Equilateral Triangle

A triangle where all the sides are the same is called an equilateral triangle.

Isosceles Triangle

When two of the sides of a triangle are the same it’s called an isosceles triangle. It’s a hard one to spell, but an easy one to recognize!

Scalene Triangle

In our last triangle, none of the sides have the same length, so this is called a scalene triangle.

Acute Triangle

when the largest angle in the triangle  is less than 90, that is an acute triangle. Just remember that acute angles are less than 90 degrees.

Right Triangle

When the largest angle is exactly 90 degrees. You might remember that a 90-degree angle is a right angle, so this triangle is a right triangle.

Obtuse Triangle

When largest angle is more than 90 degrees, this is an obtuse angle, so we call this triangle an obtuse triangle.

Area of an equilateral triangle whose side is 8 cm is √3/4*a^2 where

a=8

= √3/4*8^2

= √3/4*64

= √3*16

Area=16√3

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The two angle of the right triangle are found as 30 degrees and 60 degrees.

Less than 90 degrees is considered an acute angle. Right angles have a 90 degree angle. More than 90 degrees is found in obtuse angles.

By using angle sum property of right angle triangle:

x + 2x + 90 = 180

3x = 90

x = 30 (one angle)

2x = 60 (Other angle)

Thus, the two acute angle of the right triangle are found as 30 degrees and 60 degrees.

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The lowest price that would yield a profit of 35% is 1.18.

A product is sold at a profit if the price is higher than the cost price. When a product is sold for less than what it costs to produce, the seller suffers a loss.

Each bag contains 150g of sweets.

The total number of bags filled with a total of 3kg sweets can be calculated as follows:

3kg = 3000g

Number of bags = [tex]\frac{3000}{150}[/tex] = 20 bags

Profit is given by the following formula:

[tex]P= \frac{SP - CP }{CP} * 100[/tex]

The Cost price, CP = 17.60 and profit is 35%, substitute the value in the formula above:

[tex]35 = \frac{SP - 17.60}{17.60} *100\\ \\\frac{(35)(17.60)}{100} = SP - 17.60\\\\6.16 = SP -17.60\\\\6.16 + 17.60 = SP\\\\SP= 23.76[/tex]

Find the cost of each 30 bags as follows:

[tex]1 \text { bag} = \frac{23.76}{20}\\ \\1 \text { bag} = 1.18[/tex]

Hence the lowest price that would yield a profit of 35% is 1.18.

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Solving the provided questions, we can say that the exponential growth for the provided data will be 11.

The process of quantity growth over time is called exponential growth. occurs when the rate at which a quantity changes instantaneously with time is proportionate to the quantity itself. A data pattern that shows bigger increases with time is known as exponential growth. Compound interest yields exponential rewards in the world of finance. Savings accounts with compound interest sometimes see exponential growth. characterized by an extremely fast exponential growth rate rise (in size or extent). exponentially. The exponential function has the formula f(x)=abx where a and b are positive real values. Sketch exponential functions using the app below for different values of a and b. Describe verbally how modifying a and b changes the graph's form.

the growth rate will be

n(3) = [tex]85e^{0.l8(3)}[/tex]

n(3) = 145.86

[tex]85e^{0.l8(t)} = 600\\e^{0.l8(t)} = 7.059\\ln[e^{0.l8(t)}] = ln[7.059]\\0.18(t) = ln[7.059]\\\\t = 10.86 = 11[/tex]

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Answer:

Step-by-step explanation:

You want the price of a bagel and a can of OJ if 2 bagels and 1 can costs $8, and 3 bagels and 2 cans cost $13.

You can write an equation for the value of each purchase. The cost of a bagel can be represented by 'b', and 'j' can be used for the cost of an orange juice.

The coefficients of j are related by a factor of 2, so we can make the sum of coefficients of j be zero if we subtract the second equation from 2 times the first:

  2(2b +1j) -(3b +2j) = 2(8) -(13)

  b = 3 . . . . . . . . . . . . . . simplify

Now, we can use this value in the first equation to find j:

  2(3) +1j = 8

  1j = 2 . . . . . . . . . subtract 6

A bagel costs $3, and a can of orange juice costs $2.

Therefore , the solution of the given problem of unitary method comes out to be $54.

A single or distinct unit variable is referred to as being "unitary". Therefore, the goal of this technique is to define values in favor of a finite unit. For instance, the unitary method can be used to calculate how many kilometers a car will travel on one litre of gas if it goes 44 on two.

Here,

Given :

In place of every two sugar cookies, Natalie orders five chocolate chip cookies.

In total, she needs 42 cookies. Each sugar cookie costs $0.75, while each chocolate chip cookie costs $1.50.

thus ,

total cost is : 30 * 1.50 + 0.75*12

=> 54

Therefore , the solution of the given problem of unitary method comes out to be $54.

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Equation of opened downward parabola is (x - 1) ²= - 4/5 (y - 25/4)

Parabola is a curve created by the intersection of a cone and a plane. Generally, parabola is U shaped and either open in downward or opened in upward direction.

The formula for opened downward parabola is given by (x - h) ² = - 4p (y - k)

as the parabola contains the points (0, 5) (2, 5) and (- 2, -5)

so, the equation can be (0 -h) ² = - 4p(5 - k)   [ put the value (0, 5)]

                                       h² = - 20p+4pk ..... equation 1

while putting the value (2, 5) we have the equation of parabola.

  (2 - h) ² = - 4p(5 - k)

   4 - 4h + h ² = - 20p + 4pk .... equation 2

from the equation 1 and 2, the right-hand side is similar.

hence, 4 - 4h +h² = h²

       4 = 4h

      h = 1

put h =1 in the equation 1 we get, 1 = - 20p + 4pk .... equation 3

when we put the value ( -2, -5) in the formula.

(- 2- h) ² = - 4p ( -5 -k)

( -2 -1) ² = 20p +4pk

9 = 20p +4pk ....... equation 4

from equation 4 and equation 3

we get, 9 = 20p +4pk

               1 = - 20p+ 4pk

               -      +       -

solve by addition method and we get, 8 = 40p

                                                           p = 1/5

  from h = 1 and p = 1/5 we get the value of k from equation 3

  1 = - 20/5 + 4/5k

 k = 25/4

now the equation of opened downward parabola will be.

(x - 1) ² = - 4/5 (y - 25/4)

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The type of function which f(x)=x^3 is the cubic function.

What is a cubic function?

A cubic function is a function in mathematics where the variables x can take on real values and the coefficients a, b, c, and d are complex numbers. In other words, it is a real function as well as a polynomial function of degree three.

F(x) = x³ denotes the "basic" cubic function. It is depicted in the graph below. The greatest power over the x variable(s) in a cubic function is 3. The graph can be made "wider" or "skinnier" by the coefficient "a," or it can be reflected (if the value is negative): The graph's y-intercept serves as the constant "d" in the equation.

A cubic function equation is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants (or real numbers) and a ≠ 0.

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We can start solving this problem by using the concept of greatest common divisor (GCD). The GCD of 17, 20, and 26 is 1, which means that the three numbers are relatively prime to each other. This means that there is no common divisor of the three numbers other than 1.

Since the trading cards are given away in pairs, we need to divide the GCD by 2, which gives us 0.5. This means that it would take half a minute for the three boys to each have an equal number of trading cards.

However, half a minute is not possible as time cannot be measured in fractions of a minute. Therefore, it is not possible for the three boys to have an equal number of trading cards in the shortest amount of time, because the numbers are relatively prime.

Answer: 5 minutes. ✅

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