The balance on his credit card will be the amount of $4076.56 one year from now.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
First, we must compute James' monthly charges on his balance of 4289.
Principal = 4289
Rate = 5%
Time = 1 month = 1/12 year
Simple interest = 4289×5×1/12×100 = 17.87
The monthly charge is 17.87,
So the yearly charge would be: 12 × 17.87 = $214.44
His credit card balance one year from now = Principal - Interest
⇒ 4289 - 214.44
⇒ 4076.56
In one year, his credit card amount will be 4076.56.
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Find the slope:
(-3, 3) and (7, 6)
Answer:
slope = (3/10)
Step-by-step explanation:
(-3, 3) and (7, 6)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 6 - 3 3 3
m = ------------ = ------------ = ------------ = ----------
x₂ - x₁ 7 - (-3) 7 + 3 10
I hope this helps!
What is the value of x?
Answer:
x = 15
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
3x - 5 is an exterior angle of the triangle, then
3x - 5 = x + 25 ( subtract x from both sides )
2x - 5 = 25 ( add 5 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
Answer:
40° and 115°
Step-by-step explanation:
x+3x-5+25°=180°(angle on a straight line)
4x+20=180°
4x=180°-20
4x=160°
x=160/4
x=40°
The other angle
3x-5=3(40)-5
120-5=115°
total
40°+25°+115°=180°
I need help with finding the coordinates of B, I found A but I can't seem to get the right answer for B.
The graph represents the cosine graph, the coordinates of B is (-180, -1 )
what is cosine graph?This is a type of graph used to depict cosine values of angles. The maximum and minimum points in these type of graph is 1 and -1.
The zero points gives the maximum point on the graph, hence the graph starts at ( 0, 1 )
Point B is found by analyzing the graph.
The point is located at the minimum which is -1. this is for the output value.
The input value which is the x direction we look at the cycles covered. one full cycle is 360 degrees or -360 degrees.
Point B is in the negative and coves half cycle which is -180
Hence B ( -180, -1)
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11. A researcher in a personal submarine begins at the surface of the ocean.
The submarine descends 20.6 meters and then ascends 57 meters. What
is the depth of the personal submarine?
A-26.3 meters
14.9 meters
B-14.9 meters
26.3 meters
The depth of the personal submarine is -14.9 meter.
What is an integer?An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.
Given that,
The submarine descends 20.6 meters and then ascends 5.7 meters. it means 20.6 is a negative number and 5.7 is a positive number.
Now,
To find the depth adding the -20.6+5.7
-20.6+5.7
-14.9
Hence, The depth of the personal submarine is -14.9 meter
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Solve each equation. Show solutions on number line |x-4|=1
The solutions to the equation are x = 5 and x = 3
How to solve the equation?The equation is given as
|x - 4|= 1
The above equation is an absolute value equation
When the absolute value sign is removed from the equation, we have
x - 4 = 1 or x - 4 = -1
Add 4 to all sides of the equation
So, we have the following equations
x = 1 + 4 or x = 4 - 1
Evaluate
x = 5 or x = 3
This means that the value of the equation is x = 5 or x = 3
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Which value cannot represent the probability of an event occurring?
1/100
0.29
85%
3/2
Reason:
The fraction 3/2 converts to 1.5 in decimal form
This is larger than 1 which is not possible for probability values. They must be between 0 and 1 inclusive of both endpoints.
0 represents 0% chance the event happens (i.e. it's impossible to happen)1 represents 100% chance it happens (i.e. guaranteed certainty to happen)Answer: 3/2
Step-by-step explanation: It will be 3/2 because 3/2 is 150 percent
Hope this helps!
you are given the following information obtained from a random sample of four observations selected from a large, normally distributed population. 25 47 32 56
The 95% confidence interval for the mean of the population lies between
(17.61, 62.39)
Construct a 95% confidence interval for the mean:
To construct a 95% confidence interval for the mean of the population, we must start with finding the following:
Mean
n=4
Mean=(25+47+32+56)/n
=(160)/4
=40
Mean is 40
Standard deviation σ
= [tex]\frac{1}{n-1}( \sum x^{2} -n(mean)^{2} )[/tex]
= [tex]\frac{1}{3} (6994-4(40)^{2} )[/tex]
σ= 14.07
Now, we construct 95% confidence interval CI:
Confidence interval=mean± t-table value*(standard deviation/√n)
Given a t-table value of 3.1824 from z-distribution table, mean=40, n=4, and standard deviation=14.07, we have:
Confidence interval=(40±3.1824(14.07/√4)
=(40±22.39)
=(40-22.39, 40+22.39)
Confidence interval=(17.61, 62.39)
The question was incomplete, below is the complete question:
You are given the following information obtained from a random sample of four observations taken from a large, normally distributed population.
25 47 32 56
Construct a 95% confidence interval for the mean of the population
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At the beginning of the month, Adam had 174.85 in his checking account. He wrote the following transactions in his checkbook for the month.. 58.00, -316.38, 102.96 What is Adams's account balance at the end of the month
Adam's account balance at the end of the month is 19.13 dollars.
The amount present in Adam's bank account at the beginning of the month is $174.85.
The transactions he wrote are,
58.00
-316.35
102.96
The Transactions which have positive sign are credit amount and the transaction with negative sign are debit amount.
We can write,
The balance at the end of the month = Initial balance present + Credit amount + debit amount
So, balance in Adam's account can be found by simple addition and subtraction,
Balance = 174.85 + 58.00 + 102.96 - 316.38
Balance = 335.81 - 316.68
Balance = 19.13
The amount in Adam's bank account at the end of the month is 19.13 dollars.
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10) Suppose the regression line for a set of data, y = 3x +b, passes through the point (2,5). If x and y are the sample means of
the x- and y-values, respectively, then y =
a) x
b) x-2
c) x +5
d) 3x
e) 3x -1
y = 3x - 1 is the equation in slope-intercept form.
What exactly does slope intercept mean?
A method of expressing a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form.The point where the line is drawn the y-axis is known as the y-intercept, and the slope refers to how steep the line is.y = 3x +b passes through the point (2,5)
5 = 3 * 2 + b
5 = 6 + b
b = 5 -6
b = -1
y = 3x +b
y = 3x - 1 is the equation in slope-intercept form.
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the question is on the attachment full thing please to get brainlyist
Answer:
The percent of change is about a 16.95% increase.
The predicted population in 2019 is 158,000 people.
sry if im wrong
Step-by-step explanation:
What is the remainder of the quantity 4 x cubed minus 20 x minus 50 end quantity divided by the quantity x minus 3 end quantity? Show all necessary steps.[tex]\frac{4x^{3}-20x-50 }{x-3}[/tex]
The remainder of the polynomial 4x³-20x-50 / (x - 3) would be the expression 4x²+20x+52.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have to determine the remainder of the quantity 4 x cubed minus 20 x minus 50 end quantity divided by the quantity x minus 3 end quantity.
4x³-20x-50 = (4x³-4x²-16x-50) + (4x²+16x)
Divide both sides by (x - 3) to get
4x³-20x-50 = (4x³-4x²-16x-50)/(x-3)+(4x²+16x)/(x-3)
⇒ 4(x²+4x+12)+(4x²+16x)/(x-3)
⇒ 4x²+16x+48+(4x²+16x)/(x-3)
⇒ 4x²+16x+48+4(x+4)
⇒ 4x²+20x+52
Therefore, the remainder of the polynomial 4x³-20x-50 / (x - 3) would be the expression 4x²+20x+52.
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Which of the relationships below represents a function with a greater rate of change than the function y = -1/4x-4?
Given the function:
[tex]y=-\frac{1}{4}x-4[/tex]The given function is a linear function
The rate of change of the linear function = the slope of the function
The slope = the coefficient of x = -1/4
So, from the given options, you will select the function that has a slope that is greater than (-1/4)
Which relations are functions? Select all that apply.
Options A and B are functions as either if of the inputs is relating to a different output or different inputs relating to a single output.
What is a function?A function can be thought of as a set of inputs that produces some output.
We know a relation is a function if every input relates to a different output sometimes many input relates to one output but one input relates to different outputs is not a function.
Option A is a function as every input relates to a different output.
Option B is not a function as the input - 4 relates to two different outputs 12 and 15.
Option C is also a function as every preimage has a different image.
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help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
324 square inches
Step-by-step explanation:
A = S squared
A = 18 x 18
A = 324square inches
PLS HELP ME OUT I WILL MARK YOY BRAINLEIST IF CORRECT
A manager needs to rent a meeting room. This function can be used to determine
room is rented.
f(1) = 100
f(t)=f(t-1)+20
Use the function to complete the table indicating the cost of renting the room for e
Hours Rented
1
2
3
4
Cost
The cost of renting the meeting room by the manager for the hours 1,2,3 and 4 defined by the function of (t) = function of (t-1) + 20, given that function of (1) = 100 is 520.
What is a function?A function can be defined as a mapping whose co-domain is the set of real numbers.
Given the mapping defined as function of (t) = function of (t-1) + 20, for function of (1) = 100
Hence,
.f (2) = function of (2-1) + 20
.f (1) + 20
100 + 20 = 120
.f (3) = function of (3-1) + 20
.f (2) + 20
120 + 20 = 140
f (4) = f (4-1) + 20
.f (3) + 20
140 + 20 = 160
This can be seen in a table as shown above!
We can conclude with the proper mapping of the defined function of (t) = function of (t-1) + 20 for function of (1) = 100 that the total cost for the hours 1,2,3 and 4 for renting the meeting room is 520.
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Which of these is best used for displaying frequency distributions when one or two categories make up a large proportion of the total?
A. Pie chart
B. Bar graph
C. Comparative pie chart
D. Comparative bar graph
Option A, Pie chart best used for displaying frequency distributions when one or two categories make up a large proportion of the total.
A piechart is best which is used for displaying frequency distribution when one or two categories make up a large proportion.
Hence, the Pie chart is best.
Pie chart - A pie chart is a statistical visualization in the shape of a split region that displays numerical information. The arc length of each slice in a pie chart is proportionate to the quantity represented.
Explanation of incorrect options,
Bar graph - A bar chart is a form of chart or graph that depicts categorical data using rectangular bars whose height or length is proportionate to the value they represent. face. Bars can be drawn vertically or horizontally. A histogram is another name for a vertical bar chart.
Comparative pie chart - Pie graphs have pie graphic areas comparing ratios by frequency. The greater the radius of the pie chart, the greater the number of individuals it depicts. This allows you to compare the two data sets visually.
Comparative bar graph - Chart displaying continuous comparisons of columns indicating different portions of the same category. This facilitates the comparison of visual data.
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Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 73%, 18%, 9%
B. 16%, 18%, 17%; 16%; 17%; 16%
C. 20%; 19%; 21%, 20%, 20%
D. 25%; 24%; 26%; 25%
In the given groups of Relative Frequencies the best represented by a pie chart would be Option D. 25%; 24%; 26%; 25%.
What are Relative Frequencies?Relative frequencies are more commonly used because they allow you to compare how frequently values occur relative to the overall sample size. They are calculated by dividing the total number of responses by the number of responses for each category. Pie charts depict relative frequencies by showing how much of the total pie each category represents. Raw frequencies and relative frequencies can be displayed in frequency tables and bar charts.
According to the question we can get,
25% = [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] × 360° = 90°
24% approach 25%
26% approach 25%
So Option D would be the group of relative frequency best represented by a pie chart.
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A)
What are the coordinates of the vertex C'
B)
What is the length of the side A'B'?
Answer:
(4 , 1)
Step-by-step explanation:
This is because to find the coordinate on a graph, it is written as ( x , y) and x is on 4 and y is on 1.
that's my opinion.
Nice question
What is the ratio in the question reduced to the lowest terms?
The total of animals is a prime number and hence the ratio can only be expressed as fraction.
Ratios of NumbersTo find the ratio in the given question, we must first of all add the total sum of the animals given and then find the ratio to each one.
Total number of items given
[tex]12 + 5 + 6 = 23[/tex]
The ratio of spiders to mosquitoes to rats are
[tex]\frac{12}{23}:\frac{5}{23}:\frac{6}{23}[/tex]
The total sum of animals is a prime number and can't be divided, however, the ratio is expressed as simple as possible.
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Round 4,929 to the place value of the underlined digit.
Raising 4,929 to the place value of the underlined digit will give a value of 4930.
What is rounding up of numbers?It should be noted that rounding up of numbers simply means raising the number to the nearest ten, hundred, or thousand.
In this case let's assume that the underlined number is 2. Therefore, raising 4929 will give 4940. It should be noted that the number beside it is more than 5. Therefore, 1 will be added to 2 making 3. The new number is 4930.
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Last year, Lena biked 565 miles. This year, she biked k miles. Using k, write an expression for the total number of miles she biked
pls help im faling geometry
whats the opposite of -4
Answer:
The opposite of an integer and negative number is a positive integer number. In this case, the opposite of -4 is +4.
WILL GIVE BRAINLIST IF ANSWERED CORRECTLY!!
Any transformation that leaves the sides and angles of flat figures unaltered is referred to as rigid transformation or isometry. Congruent pictures are produced by reflection in the plane, translations, rotations, or a combination of them.
What is meant by rigid transformations?A transformation that maintains the size and shape of a geometric figure is known as a rigid transformation (or isometry). is a unique kind of transformation that doesn't alter a figure's size or shape.
Any transformation that leaves the sides and angles of flat figures unaltered is referred to as rigid transformation or isometry.Congruent pictures are produced by reflection in the plane, translations, rotations, or a combination of them.This suggests that two figures can only be said to be congruent if and only if a rigid transformation, or a combination of one or more rigid transformations, can map one planar figure onto another.The complete question is:
Make a conjecture. How are rigid transformations and congruent figures related? Check all that apply
a) rigid transformations preserve segment lengths and angle measures.
b) Rigid transformations produce congruent figures.
c) If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.
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PLEASE QUICK HELP ME
Answer:
x = 115°
Step-by-step explanation:
Line a and line b are parallel lines
x° and the angle with measure 115° are alternate exterior angles so they have same measurement and each is 115°
Which of these sets of side lengths are Pythagorean triples? Check all that apply.
A. 10, 24, 26
B. 14, 48, 49
C. 9, 12, 16
D. 9, 40, 41
E. 15, 20, 25
The sets of lengths that are Pythagorean triples are:
A. 10, 24, 26
D. 9, 40, 41
E. 15, 20, 25
What is a Pythagorean Triple?A Pythagorean triple can be described as a set of three numbers of the side lengths of a right triangle whereby the square of the longest side is equal to the sum of the squares of the two other sides.
For 10, 24, 26, we have:
10² + 24² = 26²
676 = 676 [true]
The set, 10, 24, 26 is a Pythagorean triple.
For 14, 48, 49, we have:
14² + 48² = 49²
2,500 = 2,401 [not true]
The set, 14, 48, 49, is NOT a Pythagorean triple.
For 9, 12, 16, we have:
9² + 12² = 16²
225 = 256 [not true]
The set, 9, 12, 16, is NOT a Pythagorean triple.
For 9, 40, 41, we have:
9² + 40² = 41²
1,681 = 1,681 [true]
The set, 9, 40, 41, is a Pythagorean triple.
For 15, 20, 25, we have:
15² + 20² = 25²
625 = 625 [true]
The set, 15, 20, 25, is a Pythagorean triple.
The correct set of options are, A, D, and E.
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Premises:
If you have a cat, then it will chase mice.
You have a cat.
Conclusion:
Your cat will chase mice.
The Law of what
makes this argument true.
The law which makes this argument true is referred to as the Law of Syllogism.
What is the Law of Syllogism?The Law of Syllogism is also referred to as reasoning by transitivity and it states that if two (2) statements are true, then a third true statement can be logically derived.
Mathematically, the Law of Syllogism follows a specific pattern and can be represented by the following conditional statements:
Conditional statement 1: If P, then Q (P ↔ Q).Conditional statement 2: If Q, then R (Q ↔ R.Conditional statement 3: If P, then R ( P ↔ R).In this context, we can reasonably infer and logically deduce that the Law of Syllogism makes the conclusion based on the two premises.
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Solve each equation by factoring. Then solve the quadratic formula. (Show all work)
[tex] - {k}^{2} + 3k = 28 - 2 {k}^{2} \\ - {k}^{2} + 2 {k}^{2} + 3k - 28 = 0 \\ {k}^{2} + 3k - 28 = 0 \\ (k + 7)(k - 4) = 0 \\ \\ k + 7 = 0 \\ \\ ork - 4 = 0 \\ \\ k = - 7 \\ \\ or \\ \\ k = 4[/tex]
ATTACHED IS THE SOLUTION
I GROUPED THE LIKE TERMS TOGETHER FIRST AFTER THAT THEN FACTORISED.
\theta=310^\circθ=310
∘
The degrees to radians conversion is given as 1° = π/180 radian thus the conversion of 310° is (31/18)π.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
It is known that π radian = 180°.
1° = (π/180) radian.
Multiply both sides by 310
310° = (π/180)310
310° = (31/18)π
Hence "The degrees to radians conversion is given as 1° = π/180 radian thus the conversion of 310° is (31/18)π".
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The given question is incomplete complete question is ;
Convert the angle \theta=310^\circθ=310∘
theta, equals 310, degrees to radians.