The cardholder will pay an additional $1,471.66 in interest by making monthly payments of $200 until the balance is paid off instead of paying off the current balance in full.
First, we need to calculate the total interest that will accrue on the current balance of $4,528.34. We can do this using the formula
Interest = Balance x (APR/12)
where APR is the annual percentage rate and is divided by 12 to get the monthly interest rate. Plugging in the values, we get:
credit card Interest = $4,528.34 x (22.99%/12) = $87.80
So the total interest that will accrue on the current balance is $87.80.
Next, we need to calculate how long it will take to pay off the balance by making monthly payments of $200. We can use a credit card repayment calculator to do this, but we'll use a simplified formula here
Months = -log(1 - (Balance x (APR/12))/Payment) / log(1 + (APR/12))
where Payment is the monthly payment amount. Plugging in the values, we get
Months = -log(1 - ($4,528.34 x (22.99%/12))/$200) / log(1 + (22.99%/12)) = 29.6 months
So it will take about 30 months (or 2.5 years) to pay off the balance by making monthly payments of $200.
Finally, we can calculate how much more the cardholder will pay in total by subtracting the current balance from the total amount paid over 30 months
Total amount paid = $200 x 30 = $6,000
Total interest paid = $6,000 - $4,528.34 = $1,471.66
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What is the value of x?
Answer:
46°
Step-by-step explanation:
from large triangle:
let the third unknown angle be 'a'
then,
a+x+7+85=180
a=88-x
now,from small triangle,
let the third unknown angle be 'b'
then,
b+x+2x=180
b=180-3x
b=a (vertically opposite angles)
then,
180-3x=88-x
2x=92
x=46
_____ refers to the average of all participants on one level of the independent variable, ignoring the other independent variable.
Marginal means refers to the average of all participants on one level of the independent variable, ignoring the other independent variable.
What is Marginal means?A marginal value can be defined as a value that is valid under specific conditions, the change in a value brought on by a particular change in an independent variable, whether that independent variable or a dependent variable, or any combination of these.
What is independent variable?In statistical modeling, experimental sciences, and mathematical modeling, there are dependent and independent variables. Dependent variables are so named because they are studied in an experiment under the assumption or demand that they are dependent on the values of other variables according to some rule or law.
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Find the equation of the line satisfying the given conditions. Write the equation in the formy = mx + b.y-intercept (0, 7), slope −3
We can substitute the values of m and b into the slope-intercept form. The equation becomes y = -3x + 7. This means that the equation of the line satisfying the given conditions is y = -3x + 7.
To find the equation of a line given its y-intercept and slope, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, the y-intercept is (0, 7) and the slope is -3.
The y-intercept represents the point where the line crosses the y-axis, which is given as (0, 7). This means that when x is 0, y is 7. So we know that b, the y-intercept, is 7.
The slope, which is -3, represents the change in y divided by the change in x. This means that for every increase of 1 in x, y decreases by 3.
Now, we can substitute the values of m and b into the slope-intercept form. The equation becomes y = -3x + 7.
This means that the equation of the line satisfying the given conditions is y = -3x + 7.
In this equation, -3 is the slope of the line, indicating that the line is downward-sloping, and 7 is the y-intercept, representing the point where the line intersects the y-axis.
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At a restaurant, Natalie and her nine friends decided to divide the bill evenly. If each person paid $9.62, then what was the bills total?
Answer: 96.20 should be the answer
Step-by-step explanation:
Answer: $9(.2/$96.20
Step-by-step explanation:
If natalie and her nine friends go to a restaurant that equals 10 people total. To find out how much the bill cost entirely, all you have to do is multiply the number of people (10) by the amount each person paid ($9.62).
10 x 9.62 = 96.2 or 96.20
Which of the following quantities are directly proportional? Amount of candy you can buy and the price if the amount of money you spend is constant.
Answer:
Not directly proportional
Oh and can you give me brainliest
Write an expression equivalent to m+m+m+m that is sum of two terms
the answer is 4m
and 2 plus 2 is 4
i don't know if I'm right
There are 354 mangoes. They have to be made into trays of 9 mangoes each. How many trays can be made? How many mangoes are left behind?
There are 3 mangoes left behind after making 39 trays of 9 mangoes each
To find out how many trays can be made from 354 mangoes, we divide the total number of mangoes by the number of mangoes per tray.
Number of mangoes per tray = 9
Number of trays = 354 mangoes / 9 mangoes per tray
Number of trays = 39 trays
So, 39 trays can be made from 354 mangoes.
To determine how many mangoes are left behind, we subtract the number of mangoes used for the trays from the total number of mangoes.
Number of mangoes left behind = Total number of mangoes - Number of mangoes used for trays
Number of mangoes left behind = 354 mangoes - (39 trays * 9 mangoes per tray)
Number of mangoes left behind = 354 mangoes - 351 mangoes
Number of mangoes left behind = 3 mangoes
Therefore, there are 3 mangoes left behind after making 39 trays of 9 mangoes each
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Determine the type of variable for:The number of counties in California.
Qualitative nominal
Quantitative Continuous
Qualitative ordinal
Quantitative discrete
Determine the type of variable for: The stages of childhood: Infant, Toddler, Preschooler, School age, Preteen, Teen
Qualitative nominal
Quantitative Continuous
Qualitative ordinal
Quantitative discrete
Suppose the average time for a class of 28 students (taken from a campus of 1200 students) to drive to campus was 23 minutes.
Select the choice
In the scenario above, 23 minutes is a parameter/ statistic , because 28 students is a sample/ population.
At a Track field, a coach keeps track of an athletes mile time. The coach reported that the mean mile time of a particular athlete was 7 minutes and the standard deviation of the mile time was 1 minute. Assume that the coach also gave us the information that the distribution of the mile time was bell shaped. Use the empirical rule to find:
What percent of the athlete's mile times are expected to be between 6 minutes and 8 minutes?
What percent of the athlete's mile times are expected to be between 4 minutes and 7 minutes?
What percent of the athlete's mile times are expected to be less than 9 minutes?
The type of variable for,
a. The number of counties in California: Quantitative discrete.
b. The stages of childhood: Qualitative ordinal.
c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.
d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.
e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.
f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.
In statistics, variables can be categorized into two types: qualitative and quantitative.
Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.
Quantitative variables, on the other hand, represent numerical values that can be measured or counted.
There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.
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Last week you worked 24 hours, and earned $216
What is your hourly pay rate?
$ (per hour)
Give your answer in dollars and cents
Answer:
9$
Step-by-step explanation:
hours worked in a week = 24
money earned = $216
hourly earning = 216/24
= 9
TRUE/FALSE. as one does more and more separate hypothesis tests, the risk of a type i error accumulates and is called the experiment-wise alpha level.
TRUE. As one performs multiple separate hypothesis tests, the risk of committing a Type I error (rejecting a true null hypothesis) accumulates.
This overall risk is referred to as the experiment-wise alpha level or family-wise error rate (FWER). It represents the probability of making at least one Type I error among all the conducted tests.
When multiple hypothesis tests are performed simultaneously or sequentially, the individual alpha levels (typically set at 0.05) for each test may no longer be appropriate. This is because if we conduct, for example, 20 separate tests with an alpha level of 0.05 for each test, the cumulative chance of committing at least one Type I error can be much higher than the desired 5%.
To control the experiment-wise error rate, various multiple comparison procedures and adjustments can be employed, such as the Bonferroni correction or the Holm-Bonferroni method. These methods aim to maintain a desired level of significance for the entire set of tests, reducing the risk of accumulating Type I errors.
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what is the median of these numbers 17 12 54 36 71 28 31 55
Answer:
The median is 33.5
Step-by-step explanation:
In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.
The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.
What is the median of a set of numbers?The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.
If there are an even number of numbers, the median is the average of the two middle values. If there is an odd number of numbers, the median is the middle number.
To find the median of the given numbers, we first need to arrange them in ascending order:
12 17 28 31 36 54 55 71
Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.
To find the average, we add the two numbers and divide by 2:
(31 + 36) / 2 = 67 / 2 = 33.5
Therefore, the median of the given numbers is 33.5.
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1. Solve then graph the inequality: 7x + 2 = 8x + 4
Answer:
(-2, 12)
Step-by-step explanation:
7x + 2 = 8x + 4
2 = x + 4
x = -2
use the Simplex method to find the minimum value of the objective function w = 9x1 + 6x2 Subject to the constraints: x1 +2x2 ≥ 5 2x1 + 2x2 ≥ 8 2x2 +x2 ≥ 6 Where x1 ≥ 0 and x2 ≥ 0
The optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.
To solve this linear programming problem using the Simplex method, we first need to convert it into standard form by introducing slack variables.
Our problem can be rewritten as follows:
Minimize w = 9x1 + 6x2
Subject to:
x1 + 2x2 + x3 = 5
2x1 + 2x2 + x4 = 8
x1 + 2x2 + 2x3 = 6
where x1, x2, x3, and x4 are all non-negative variables.
Next, we set up the initial simplex tableau:
Basic Variables x1 x2 x3 x4 RHS
x3 1 2 1 0 5
x4 2 2 0 1 8
x5 1 2 2 0 6
z -9 -6 0 0 0
The last row represents the coefficients of the objective function. The negative values in the z-row indicate that we are minimizing the objective function.
To find the pivot column, we look for the most negative coefficient in the z-row. In this case, the most negative coefficient is -9, which corresponds to x1. Therefore, x1 is our entering variable.
To find the pivot row, we calculate the ratios of the RHS values to the coefficients of the entering variable in each row. The smallest positive ratio corresponds to the pivot row. In this case, the ratios are:
Row 1: 5/1 = 5
Row 2: 8/2 = 4
Row 3: 6/1 = 6
The smallest positive ratio is 4, which corresponds to row 2. Therefore, x4 is our exiting variable.
To perform the pivot operation, we divide row 2 by 2 to make the coefficient of x1 equal to 1:
Basic Variables x1 x2 x3 x4 RHS
x3 0 1 1 -1 1
x1 1 1 0 1/2 4
x5 0 1 2 -1 2
z 0 -3 9 9/2 -18
We repeat the process until all coefficients in the z-row are non-negative. In this case, we can stop here because all coefficients in the z-row are non-negative.
Therefore, the optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.
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Points A, B, and C are collinear, and B lies
between A and C. If AC = 48, AB = 2x + 2,
and BC = 3x + 6, what is BC? Show all work in a clear and organized manner.
Answer:
BC = 30
Step-by-step explanation:
If the three points are collinear, it means they lie on the same straight line.
Now B lies between A and C
By mathematical convention;
AC = AB + BC
This means;
48 = 2x + 2 + 3x + 6
48 = 5x + 8
48-8 = 5x
5x = 40
x = 40/5
x = 8
From the question BC = 3x + 6
Substitute the value of x; 3(8) + 6 = 24 + 6 = 30
On a standardized exam, the scores are normally distributed with a mean of27 and a standard deviation of 4. Find the Z-score of a person who scored 17on the exam.
mean = 27
standard deviation = 4
n = 17
z = ?
\(\begin{gathered} \text{ z = }\frac{X\text{ - }\mu}{\sigma} \\ \text{ z = }\frac{27\text{ - 17}}{4} \\ \text{ z = }\frac{10}{4} \\ \text{ z = 2.5} \end{gathered}\)Result :
z = 2.5
35/49 - 3/7 in it's simplest form
Answer:
35/49 - 3/7 = 2/7
(Brainliest please!!!)
PLEASE ANSWER THIS QUICK AND RIGHT!! 50 POINTS
DETERMINE THE PERIOD
The period of the given trigonometric function is: 20.
What is the period of the trigonometric graph?The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.
Sine and cosine functions start repeating the same pattern of y-axis values after every 2(pi). The period is defined as just the distance on the x-axis before the pattern repeats.
Now, looking at the trigonometric graph, we see that the x-interval for which the graph repeats itself is 20
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PLEASE HELP ME ASAP!!
Answers:
undefined
Negative
Zero
Positive
I think positive since is rising ....
Please mark me as brainliest ......A game is played with a spinner on a circle, like the minute hand on a clock. The circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50 and so on. The player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle. If 100 players are randomly selected, what is the approximate probability that the average time these players will get to solve the puzzle exceeds 50 seconds
the probability that at most 40 will get less than 40 seconds and at most 40 will get more than 40 seconds to solve the puzzle.
less than 40 seconds - Event A
more than 40 sec - A ' ( A bar / A compliment)
not
maximum number of people in Event A = 40
maximum number of people in A' = 40
total number of maximum people in A or A' = 40 +40 = 80
but here there are 100 people > 80
hence
this is not possible
Required probability = 0
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the improbability of the event and 1 indicating certainty.
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Solve for y.
–1(y–10)–11≤–19
Answer:
y≥18
Step-by-step explanation:
Answer:
y≥18
Step-by-step explanation:
Step 1 : Equation at the end of step 1 : ((0 - (y - 10)) - 11) - -19 ≤ 0
Step 2 : Equation at the end of step 2 : 18 - y ≤ 0
Step 3 : 3.1 Multiply both sides by (-1) Flip the inequality sign since you are multiplying by a negative number
Solve Basic Inequality
Inequality Plot
Answer: y ≥ 18
Hope this helps.
The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) = 4x3 + 4x2 + 52x + 400, where x represents the number of years since the store opened. The amount of types of candy can be modeled by the linear function T(x) = 2x + 8. Which expression represents the amount of candy sold each year per type at Cassandra's Candy Corner? A. 2x2 + 6x + 20
B. 2x2 – 6x + 50
C. 4x3 + 4x2 + 51x + 392
D. 4x3 + 4x2 + 55x + 408
Using polynomial division, it is found that the expression that represents the amount of candy sold each year per type at Cassandra's Candy Corner is:
\(2x^2 - 6x + 50\)
The amount of candy sold per type is given by the following division:
\(\dfrac{C(x)}{T(x)} =\dfrac{4x^3+4x^2+52x+400}{2x+8}\)
The denominator can be written as:
\(2x+8=2(x+4)\)
At the numerator, to see if we can simplify, we verify if x = -4 is a factor:
\(C(-4)=4(-4)^3+4(-4)^2+52(-4)+400=0\)
Since C(-4) = 0, it is a factor of the numerator, and thus, since the numerator is of the 3rd degree, it can be written as a 3 - 1 = 2nd degree polynomial multiplying x + 4:
\((ax^2+bx+c)(x+4)=4x^3+4x^2+52x+400\)
\(ax^3+(4a+b)x^2+(4b+c)x+4c=4x^3+4x^2+52x+400\)
Equaling both sides:
\(a=4\)
\(b=4-4a=-4\)
\(4c=400\rightarrow c=100\)
Thus:
\(C(x)=(4x^2-4x+100)(x+4)\)
And:
\(\dfrac{C(x)}{T(x)} =\dfrac{(4x^2-4x+100)(x+4)}{2(x+4)}\)
Thus, the expression is:
\(2x^2 - 6x + 50\)
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The distance required to stop a car varies
directly as the square of its speed. If 250
feet are required to stop a car traveling 60
miles per hour, how many feet are required to
stop a car traveling 96 miles per hour?
Answer:
400
Step-by-step explanation:
PRETTY PLEASE WITH A CHERRY ON TOP PLEASE HELP URGENT ASAP!! WILL MARK BRANLIEST. SIMPLE PROBLEM GEOMETRY BUT I CANT SOLVE IT HELP!!
Find the center of this circle. Label the center as point A
if there is a formula please put it in the explanation.
Answer:
Draw a line perpendicular (90°) to the chord GH, half way along it's length
Now you know why it's easier to pick an easy length to start with. Make sure it goes past where the center of the circle should be. You can go straight across if that's easier.
Do the same for chord JK
The point of intersection of the 2 chord's perpendicular line is the centre of the circle
This should be enough to find the center of the circle, but you can add more chords to make sure
pls mark me as brainliest :)
Sort the polygons.
Squares Not squares
Polygons are shapes that have the following:
-sides are all straight
-no overlapping
-shape is always closed
Hope this helps :)
Which type of association is represented by the scatter plot below?
A.
positive and negative association
B.
no association
C.
positive association
D.
negative association
Answer:
Step-by-step explanation:
C
Which is the equation of OB?
A. (x - 2)2 + y2 = 16
B. (x + 2)2 + y2 = 16
C. (x - 2)2 - y2 = 16
D. (x + 2)2 - y2 = 16
Help please which of the following smwkcnnw wdd
It represents the product of two irrational numbers and is equivalent to rational number.
√3 and √12 are irrational numbers
But, √3×√12 =√36 = 6 which is rational. So your answer will be option A.
7. If the supplement of an angle is 69, then find its complement.
Answer:
no solution
Step-by-step explanation:
Supplementary angles add to 180
Let x be the supplement
x+69 = 180
x = 180-69
x =111
The complement of an angle means they add to 90
111+y = 90
y = 90-111
y =-21
But an angle cannot be negative so there is no solution
Answer:
21 degrees.
Step-by-step explanation:
To find the complementary angle you have to subtract the given angle from 90.
so,
90 - 69 = 21.
Extra info: if you need to find the supplementary angle you need to subtract the given angle from 180.
There are 80 houses in the neighborhood 1/4 of the houses have a chain-link fence in the backyard 2/5 of the houses have a privacy fence in the backyard the rest of the houses have no fence how many houses have no fence in the backyard
Based on the number of houses in the neighborhood and those that have a chain-link fence and a privacy fence, the number of houses with no fence in the backyard are 28 houses
How to find the number of houses with no fence?First, find the number of houses in the neighborhood that have a chain-link fence:
= Number of houses x Proportion with a chain-link fence
= 80 x 1/4
= 20 houses
Then find the number of houses in the neighborhood that have a privacy fence:
= Number of houses x Proportion with a privacy fence
= 80 x 2/5
= 160 / 5
= 32 houses
The number of houses in the neighborhood that have no fence is:
= Total number of houses - Houses with a chain-link fence - Houses with a privacy fence
= 80 - 20 - 32
= 28 houses with no fence
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pls help Use your response to question 1 to write a recursive definition for the amount of medication in Aldi’s bloodstream after each dose of medication. Is your definition arithmetic, geometric, or neither? Explain.
The sequence is neither arithmetic nor geometric.
What does mathematical sequence mean?Informally, a sequence in mathematics is a list of items that are in some order (or events). It possesses members, much like a set (also called elements, or terms). The length of the series is the number of ordered elements in the sequence, which could be unlimited.
Also, Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of distinct sequences you need to be familiar with.
Squares, rectangles, circles, cones, cubes, and other shapes that can be created using geometry are known as geometric forms. In structural, civil, and architectural engineering, geometric forms are frequently used.
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The sequence from response to question 1 is neither arithmetic nor geometric.
How to identify the type of sequence ?The sequence in mathematics is the order of value of items or events. Usually, it contains a number or a series of numbers with a length of series that can be unlimited.
If the sequence has common differences from one value to another it can be considered as an arithmetic sequence, for example, 2,4,6,8. If the sequence has common ratios from one value to another it can be considered as a geometric sequence, for example, 2,4,8,16.
Since the response in question 1 doesn't have either common differences or common ratios, so it is neither arithmetic nor geometric.
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