Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The billing cycle for the month = 28 days
Current beginning balance = x
Annual percentage rate (APR) = 24%
Monthly percentage rate (MPR) = 2% (24% ÷ 12)
Purchase on the last day = $1,400
Total finance charge for the month = $51
Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)
Finance charge for the beginning balance = $50 ($51 - $1)
The current beginning balance, x = $2,500 ($50 ÷ 2%)
Equation for current beginning balance, x = 51 - 1 ÷ 0.02
Total finance charge for the last-day purchase = $28 ($1,400 x 2%)
Savings in finance charge by purchasing on the last day = $27 ($28 - $1)
Hence, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.
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How many ways can we put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together
On solving the provided question, we can say that the permutation will bw , N = (4!)(5!)(3!)(3!)= 103,680
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.
we can put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together will be , N = (4!)(5!)(3!)(3!)= 103,680
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Jim wrote the following derivation of a term with a rational exponent based on a term consisting of a radicand that is less than 0
The equivalent form [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex]can be determined where the origin of the numerator of 1.
When rewriting a radical with a fractional exponent, the numerator is the power to which the radicand is increased, and the denominator is the root or index.
The link between [tex][latex] \sqrt[n]{{{a}^{m}}}[/latex]and [latex] {{a}^{\frac{m}{n}}}[/latex][/tex]also applies to rational exponents with a numerator of 1. For instance, the radical [tex][latex] \sqrt[3]{8}[/latex][/tex]
can also be expressed as [tex][latex] \sqrt[3]{{{8}^{1}}}[/latex][/tex].
Since any number retains its value when raised to the first power, [/latex]. Now that you have the equivalent form of [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex], you can determine where the origin of the numerator 1.
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Find the length of the third side. If necessary, round to the nearest tenth
Answer:
6.3
Step-by-step explanation:
This is a right triangle, so in order to solve you can use the Pythagorean theorem; which is a² + b² = c² (The hypotenuse, or the longest side, equals C. A and B equal the legs, or the shorter sides.) So once you plug in the values, your equation should look like this:
3² + b² = 7²
Square each side, or in other words multiply it by itself.
9 + b² = 49
Subtract 9 from both sides.
b² = 40
Take the square root of 40 and your done!
b = 6.3
I hope this helped you! :)
In a survey of 1,500 people who owned a certain type of car, 750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
If in a survey of 1,500 people who owned a certain type of car, 750 said they would buy that type of car again, the percent of people surveyed who were satisfied with the car is 50%.
To find the percent of people surveyed who were satisfied with the car, we can use the following formula:
percent satisfied = (number of satisfied people / total number of people surveyed) x 100
In this case, the number of satisfied people is 750 and the total number of people surveyed is 1,500. So we have:
percent satisfied = (750 / 1,500) x 100 = 0.5 x 100 = 50%
So, 50% of the people surveyed were satisfied with the car.
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How do you multiply FG?
FG cannot be multiplied because it is not a numerical value.
Multiplication is a mathematical operation that involves multiplying two numerical values together to produce a single numerical result. In order for multiplication to be possible, both values must be numerical values. FG is not a numerical value, which means that it cannot be multiplied. In order for FG to be multiplied, it would need to be replaced with a numerical value, such as a number or an expression that can be evaluated to a number. Without a numerical value, multiplication is not possible. Multiplying numerical values is done by taking the product of the two values, meaning that the result of the multiplication is the sum of each value multiplied by itself the number of times the other value is. For example, if you were to multiply 3 and 4, the result would be 12 because 3 multiplied by itself 4 times is 12, and 4 multiplied by itself 3 times is also 12. Without numerical values, this operation cannot be performed.
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How do you write 4 7/8 as a decimal
Answer:
4.88
Step-by-step explanation:
Turn 4 7/8 as an improper fraction Divide The FractionDone!Hops This Helps!
To convert 4 7/8 into a decimal, we first need to turn the mixed number into an improper fraction.
In order to turn the mixed number into an improper fraction, we need to multiply the whole number by the denominator and add it up with the numerator.
[tex]4\dfrac{7}{8}[/tex]
[tex]4\times8=32+7=39[/tex]
Now, put that sum over the denominator:
[tex]\dfrac{39}{8}[/tex] (improper)
Now, to turn the improper fraction into a decimal, we need to divide the numerator by the denominator:
[tex]39\div8[/tex]
[tex]=\fbox{4.875}[/tex] (final answer)
A single-engine plane can travel up to 140 miles per hour. The total number of miles m is represented by the function m = 140h, where h is the number of hours traveled. Determine appropriate input values for this situation.
Answer: The input values for this function are the number of hours traveled, represented by the variable h. Therefore, appropriate input values for this function would be any positive number representing a number of hours traveled.
For example, some appropriate input values could be:
h = 1: This represents 1 hour of travel, or a total distance of 140 miles.
h = 2: This represents 2 hours of travel, or a total distance of 280 miles.
h = 3.5: This represents 3.5 hours of travel, or a total distance of 490 miles.
Note that the input values do not have to be whole numbers, they can be any positive number representing a number of hours traveled.
Step-by-step explanation:
Circles centered at $A$ and $B$ each have radius 2, as shown. Point $O$ is the midpoint of $\overline{AB}$, and $OA
The distance between the two circles is 5.
The distance between two circles is the difference between the sum of their radii and the distance between their centers. In the given diagram, the radius of the circles centered at $A$ and $B$ is 2, and the distance between their centers is the length of $\overline{AB}$, which is 5. Therefore, the distance between the two circles is 5 - (2 + 2) = 5.
The distance between the two circles is 5.
The distance between two circles is the difference between the sum of their radii and the distance between their centers.
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What are 5 ways to solve problems?
The 5 ways to solve problems are identifying the problem, generating different solutions, choosing one solution, implementing the chosen solution and evaluating the result.
A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.
There are 5 different steps to solving a problem
Step 1. Identify the Problem
Step 2. Generate potential solutions
Step 3. Choose one solution
Step 4. Implement the solution you’ve chosen
Step 5. Evaluate results
Sometimes it is required to start the process entirely over. To make the problem-solving process easier, it’s best to facilitate the solution as much as possible. Try to concentrate on the solution instead of the problem. Finally, be in the correct psyche to want to change. This contains having the right mindset language, both are positive and open-minded. With sufficient practice, any problem can be solved.
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Find the nth term of the following sentence
-5,-2,3,10,19
On solving the provided question, we can say that An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.
what is arithmetic sequence?Arithmetic sequences are groups of integers that are arranged in a certain order and share a common difference between each term. The tolerance, for instance, is six in the mathematical progression 3, 9, 15, 21, and 27. Arithmetic progression can also be referred to as such. a series that is produced by adding the same value repeatedly. for instance, 1, 4, 7, 10, 13, 16, 19, 22, and 25. Sequences that have an arithmetic difference between two successive phrases are known as arithmetic sequences. A progression in math with a tolerance of 2 is 2,4,6,8,10.
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. 2,4,6,8,10….is an arithmetic sequence with the common difference 2.
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Please help ASAP this is for a final test
A line which is perpendicular to this line would have a slope of ___.
Write your answer as a whole number or simplified fraction or improper fraction (not a decimal or mixed number). Use a / for a fraction bar.
Answer: I'm sorry bro i don't know
Step-by-step explanation:
Find the greatest common factor of $144$ and $405$.
Answer:The answer to your question is 9
last month greg arrived late to work 3 out of 21 days his boss used this information to determine the probability of greg being late again. which pair of probabilites is correct
The probability of Greg being late again, along with the type of probability, is given as follows:
1/7, experimental probability.
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
In the context of this problem, the outcomes are given as follows:
Desired: Greg being late, 3 times.Total outcomes: 21 times that Greg went to work.The probability of Greg being late is then calculated as follows:
3/21 = 1/7.
Which is an experimental probability, as the number of outcomes are taken from previous "experiments".
The other type of probability is theoretical, for example, a fair coin has a 50% chance of falling heads and 50% change of falling tails.
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The pitchers for the home team had 12 strikeouts for 32 batters, while the pitchers for the visiting team had 15 strikeouts for 35 batters. Which pitching team had a greater fraction of strikeouts.(Hint: Just make the 12 for 32 and 15 for 35 into fractions and see which is greater or less than.)
Answer:
2958843/5 5/1000775747373838388484737372737375823Condition A a recangle with four right angles condition B: a square with one side measuring 5 inches conddion C: a rhombus with one angle measuring 43 condition D: a parallelogram with one angle measuring 32 condition E a parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches condition F: a rectangle with adjacent sides measuring 4 inches and 3 inches One Quadrilateral Many Quadrilaterals
The conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.
What is a quadrilateral?
A quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. Quadrilaterals always have a total internal angle of 360 degrees.
Given,
condition A : a rectangle with four right angles
condition B : a square with one side measuring 5 inches
condition C : a rhombus with one angle measuring 43°
condition D : a parallelogram with one angle measuring 32°
condition E : a parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches
condition F : a rectangle with adjacent sides measuring 4 inches and 3 inches.
Now we are asked to match the above conditions to one quadrilateral and many quadrilaterals groups according to the number of quadrilaterals that can be constructed using the given condition.
Condition A : Many Quadrilaterals
All the rectangles have four right angles in them. So many rectangles of different lengths can be formed.
Condition B : One Quadrilateral
The defining factor that make a square unique is the length of its side. All the sides of the square also has equal length. So only one square of 5 inches side can be made.
Condition C: Many Quadrilaterals
For a rhombus the opposite angles are equal and the sum of angles should be 360°. Even though the angles are fixed, this rhombus can have any side length.
Condition D: Many Quadrilaterals
As discussed for rhombus, even though the angles of the parallelogram is fixed, there can be many sides lengths.
Condition E: One Quadrilateral
In this case, side length as well as the angle of the parallelogram is given. So there can be only one parallelogram.
Condition F:One Quadrilateral
The side lengths are what make a rectangle one of its kind. So one one rectangle can be formed with lengths 4 inches and 3 inches.
Therefore conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.
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HELPPP. I need help finding this answer
Answer:Don't know
Step-by-step explanation:
what is the answer 6u+2(u-8) - 4
Answer:
8u - 20
Step-by-step explanation:
What is included in an individual's personal assets 3 options?
Three options which are included in an individual's personal assets are cash amount , property in any form and any other investment which can be converted cash in future.
Individual personal assets are defined as the things which represents some value in the present and future time.Three options which represents the individual personal assets are cash amount , property in any form, and the investment converted into cash.Cash amount already represents the physical value for the present and future use.Property in any form can be converted into cash in present and future use.Investment can be in many form such as policies , electronics items, jewelry and many other options can easily be converted into cash for present and future use.Therefore, the three options representing the individuals personal assets are cash amount, property in any form, and investment converted into cash.
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What is the solution of 2x^2 3x 5 0?
Answer: The answer is 10x2
Step-by-step explanation:
if logx 27 +logy 4 =5 and log x 27 -logy 4=1 find x and y
Answer:
[tex](x,y)\rightarrow(3,2)[/tex]
Step-by-step explanation:
I assume you mean [tex]\log_x(27)+\log_y(4)=5[/tex] and [tex]\log_x(27)-\log_y(4)=1[/tex]:
[tex]\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1[/tex]
[tex]2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y[/tex]
[tex]\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x[/tex]
ESSENTIAL QUESTION CHECK-IN
17. Tell how you can determine whether a number is a solution of an
equation.
324 Unit 4
Answer:
Step-by-step explanation:
1. Substitute the number for the variable in the equation.
Please help!!! Very confused on my homework.
The tank is completely filled with water and then drains completely into the pool. The volume of the cylindrical tank is v1=36pir2/1 where r1 is the radius of the tank in feet.
PROBLEM IS ON THE ATTACHMENT!
Step-by-step explanation:
we need to use both equations for the volumes.
the only variables in them are r1 and r2.
when we say both results (volumes) are equal, that means we can create an equation with one formula on one side and the other formula on the other side.
and then we can easily transform the equation into "r1 = ..." or "r2 = ..."
and yes, your teacher made a mistake by hinting to solve for r1 in a. and b. it is r1 in a. and r2 in b.
a.
the goal here is an equation in the form
"r1 = ..."
that means r1 is a function of r2.
36×pi×r1² = 1/2 × 4/3 × pi × r2³ = 4/6 × pi × r2³ =
= 2/3 × pi × r2³
36 × r1² = 2/3 × r2³
r1² = (2/3 / 36) × r2³ = (1/(3×18)) × r2³ = 1/54 × r2³
r1 = sqrt(1/54 × r2³) = 1/3 × sqrt(1/6 × r2³)
b.
the goal here is
"r2 = ..."
again
36×pi×r1² = 2/3 × pi × r2³
36 × r1² = 2/3 × r2³
3×36 × r1² = 2 × r2³
3×18 × r1² = r2³
54 × r1² = r2³
[tex]r2 = \sqrt[3]{54 \times {r1}^{2} } = 3 \times \sqrt[3]{2 \times {r1}^{2} } [/tex]
c.
r2 is doubled.
so, we have to go back to our equation of a.
r1 = sqrt(1/54 × r2³).
when r2 is doubled, we get
r1 = sqrt(1/54 × (2×r2)³) = sqrt(1/54 × 8 × r2³) =
= sqrt(8) × sqrt(1/54 × r2³)
so, when r2 doubles, r1 has to grow by the factor of sqrt(8) to keep the equality intact.
Is 2025 a perfect square Yes or no?
EXPLANATION
2025 is a perfect square number hence we can determine its square root. 45 is the square root of 2025 as 45 multiplied by 45 gives the number 2025. Interestingly, – 45 × – 45 is also 2025. Hence It is represented as √2025 = 土45.
What is 2(−2x+1)−5x+2= -23
Answer:
Step-by-step explanation:
To solve this equation, you will need to manipulate the equation in order to isolate the variable x on one side of the equation. Here is one way you could solve this equation:
Begin by distributing the 2 on the left side of the equation: 2(-2x+1) = -46 + 2x.
Next, distribute the -5 on the right side of the equation: 2(-2x+1) = -23 - 5x.
Combine like terms on the right side of the equation: 2(-2x+1) = -5x - 23.
Combine like terms on the left side of the equation: -4x + 2 = -5x - 23.
Add 4x to both sides of the equation to isolate the variable on one side: 2 = -x - 23.
Add 23 to both sides of the equation: 25 = -x.
Finally, divide both sides of the equation by -1 to solve for x: x = -25.
Therefore, the solution to the equation is x = -25.
Answer:
x=3
Step-by-step explanation:
2(−2x+1)−5x+2= -23
Distribute
-4x+2-5x+2=-23
Combine like terms
-9x+4=-23
Subtract both sides by 4
-9x=-27
Divide both sides by -9
x=3
Hope this helps :)
the scatter plot shows a regression line of units demanded and price. if the demand is for 35 units what would be the predicted price per unit?
A)$20
B)$23
C)$27
D)$32
According to the following graph, we have identified that if the demand is for 35 units then the predicted price per unit is $27.
The term graph in math is defined as pictorial representation of algebraic equation.
Here we have given the following graph and here we also know that the scatter plot shows a regression line of units demanded and price.
Here we need to know the definition of regression line, which means the relationship between two variables. And it is applied in scenarios where the change in the value of the independent variable causes changes in the value of the dependent variable.
Based on these definition, here we have the relationship between the units demanded and the price of those units.
Now, by looking into the given graph, we have identified that if the demand is for 35 units, then the units price is $27.
Therefore, option (c) is correct.
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4x(3 +5) Please answer :(
Answer: 32x
Step-by-step explanation:
4x (3 + 5)
add 3 and
⇒ 4x (8)
⇒ 32x answer .
hope that helps...
Don’t know just need help with answer
The length AB is 15.
What is length ?
Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.
The definition of length is the measurement or extent of something from end to end. In other terms, it is the largest of the two or the highest of the three dimensions of geometrical forms or objects.
In contrast to width, which is used to gauge an object's width from side to side, length is used to gauge an object's length from one end to the other.
As it is a isosceles the two sides are equal
5x = 4x + 3
x = 3
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How do you find the sine cosine and tangent of an acute angle?
The sine , cosine and tangent of an acute angle can be find by using:
Sin θ = Opposite side/HypotenuseCos θ = Adjacent/HypotenuseTan θ = Opposite/AdjacentAcute Angle:
Acute angles are defined as angles less than 90 degrees, i.e. angles between 0° and 90°. Examples include 60°, 30°, 45°. A triangle with all interior angles less than 90° is called an acute triangle. For example, an equilateral triangle is an acute triangle because its interior angles are 60°.
Sine of an Acute Angle :
The sine of an angle in a right triangle is the ratio of the opposite side of the angle to the hypotenuse. The sine function is the important periodic function in trigonometry, with period 2π. To understand the derivation of sin x, consider the unit circle centered at the origin of the coordinate plane. On the boundary (perimeter) of this circle the variable point P moves. Note that P is in the first quadrant and OP makes an acute angle of x radians with the positive x-axis. PQ is the perpendicular from P to the horizontal axis.
Cosine:
Cosine or cos x is the trigonometric periodic function. Imagine a unit circle centered at the origin of the coordinate plane. The variable point P moves on the circumference of this circle. From the figure, we can see that P is in the first quadrant and OP forms an acute angle of x radians with the positive x-axis. PQ is the perpendicular from P to the horizontal axis. A triangle is therefore formed by connecting the points O, P, and Q as shown. where OQ is the base and PQ is the height of the triangle.
Tangent:
The tangent function is one of the six most important trigonometric functions, commonly written as tan x. It is the ratio of the opposite side to the adjacent side of the angle considered in a right triangle. There are various trigonometric identities and formulas related to the tangent function that can be derived using various formulas. The period expression for the tangent function f(x) = a tan (bx) is given by Period = π/|b|. The tangent function tan x is periodic, with period π/1 = π (because b = 1 for tan x).
So the formula for tan x is:
tan x = sin x/cos x
tan x = opposite side/adjacent side
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I really need help on this. 22 points if you get it!!
The value of angle x in the triangle shown is 78°
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
A triangle is a polygon that has three sides and three angles. The sum of angles in a triangle is 180 degrees. Types of triangles are isosceles, scalene, equilateral
In the large triangle let the missing angle by y, hence:
y + 87 + 36 = 180 (sum of angle in a triangle)
y = 57°
In the triangle containing the angle 45, let the missing angle be z, hence:
z + y + 45 = 180 (angle in a triangle)
z + 57 + 45 = 180
z = 78°
x = z (corresponding angles are equal)
x = 78°
The value of x is 78°
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Simplify the expression please!
Using the provided expression and the law of indices, The power get subtracted in division, The answer is [tex]6^{22}[/tex] .
What is a mathematical expression?A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.
What do you mean by law of indices?The laws of indices, also known as the laws of exponents, are a set of rules that govern how exponents (or indices) are used in mathematical operations. These laws include:
a^m * a^n = a^(m+n) (product of powers)(a^m)^n = a^(m*n) (power of a power)a^m / a^n = a^(m-n) (quotient of powers)(a^m)^(-n) = a^(-m*n) (power of a reciprocal)These laws allow us to simplify expressions with exponents and make it easier to perform calculations involving them.
[tex]= \frac {6^{15}}{6^{-7}}\\= 6^{15-(-7)}\\= 6^{15+7}\\=6^{22}[/tex]
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