Please help!!!
You owe $1,853.42 on a credit card with a limit of $5,000.00 at a rate of 17.5 % APR. You pay $450.00 the first 2
months and then $175.00 until the bill is paid off. You pay the bill on the due date each month.
Complete the table showing the decreasing debt and fully answer the questions below.
1) how much is your last payment?
2) what is the total amount paid by the time you pay off the credit card? Show your work
3) what was your debt ratio at the begging? Show your work
Answers
1) The last payment on the credit card was $186.27.
2) The total amount paid by the time the credit card is paid off is $1,978.00.
3) The debt ratio (debt-to-credit limit ratio) at the beginning was 37%.
What is the debt ratio?The credit card debt ratio or debt-to-limit ratio measures the creditworthiness of a credit cardholder.
The debt ratio is the quotient of the total outstanding credit card debts divided by the credit limit.
Credit card balance = $1,853.42
Credit limit = $5,000.00
APR = 17.5%
MPR (monthly percentage rate) = 1.4583% (17.5% ÷ 12)
Monthly Payments:First two months = $450
Thereafter = $175
Month Starting Balance Interest Accrued Payment Ending Balance
(A) (B) (C) (D) = A + B - C
1 $1,853.42 $27.03 $450.00 $1,430.45
2 1,430.45 20.86 450.00 1,011.31
3 1,011.31 14.60 175.00 850.91
4 850.91 12.41 175.00 688.32
5 688.32 10.04 175.00 523.36
6 523.36 7.63 175.00 355.99
7 355.99 5.19 175.00 186.18
8 186.18 2.72 175.00 13.90
9 13.90 0.20 $14.10 $0
Total $100.68 $1,978.00
Last payment on the eight payment = $188.90 ($175 + $13.90)
Debt ratio = Debt/Credit Limit
= $1,853.42/$5,000
= 0.371
= 37%
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Related Questions
Describe the basic differences between linear growth and exponential growth.
(In your own words, pls) Thanks! :)
Answers
Answer:
Step-by-step explanation:
Linear growth and exponential growth are two types of mathematical models used to describe how a quantity changes over time or with respect to some other variable. The basic differences between linear growth and exponential growth are:
Rate of increase: In linear growth, the rate of increase is constant, which means that the quantity increases by the same amount for each unit of time or change in the variable. In exponential growth, the rate of increase is proportional to the current quantity, which means that the quantity increases by a greater amount for each unit of time or change in the variable.
Shape of the curve: In linear growth, the curve is a straight line, which means that the rate of increase remains constant over time or with respect to the variable. In exponential growth, the curve is a J-shaped or S-shaped curve, which means that the rate of increase increases over time or with respect to the variable.
Final outcome: In linear growth, the final outcome is predictable and limited, which means that the quantity will eventually reach a maximum value and stop increasing. In exponential growth, the final outcome is unpredictable and potentially unlimited, which means that the quantity can continue to increase without limit, unless some external constraint is imposed.
Applications: Linear growth is often used to model physical systems or processes that have a limited range of outcomes, such as the growth of a plant or the spread of a disease. Exponential growth is often used to model systems or processes that have an unlimited range of outcomes, such as the growth of a population or the expansion of a market.
Overall, the main difference between linear growth and exponential growth is the rate of increase and the shape of the curve, which determine how the quantity changes over time or with respect to some other variable.
Solve for r in terms of q, s, and t.
q=2ts + 2sr + 2rt
r =
Answers
Answer:
\(\sf\frac{q-2ts}{2(s+t)} =r\)
Step-by-step explanation:
q = 2ts + 2sr + 2rt
First, subtract 2ts from both sides.
q - 2ts = 2sr + 2rt
Now, take the common factor out.
q - 2ts = 2r ( s + t )
Divide both sides by ( s + t ).
\(\sf\frac{q-2ts}{(s+t)} =2r\)
Now divide both sides by 2 and make "r" the subject.
\(\sf\frac{q-2ts}{2(s+t)} =r\)
Solve for the following if x = 6: (Hint: substitute 6 for the letter x and work the problem. You will work more with substitution later.) Example: 10x = 10*6 = 60 9. x - 6 ( if x = 6) 10. 7 + x ( if x = 6) 11. 3x - 9 ( if x = 6) 12. 63/x ( if x = 6) 13. 5 + 5x + 10 ( if x = 6)
Answers
Using PEMDAS and substituting 6 for x, the results of the mathematical operations are as follows:
1) 482) 763) 1894) 1265) 105.What is PEMDAS?PEMDAS is the order of mathematical operations that explains the correct sequential steps for evaluating mathematical expressions.
PEMDAS means that mathematical operations must follow the following order:
ParenthesesExponentsMultiplicationDivisionAdditionSubtraction.1) 9. x - 6 ( if x = 6)
= 9 x 6 - 6
= 54 - 6
= 48
2) 10. 7 + x ( if x = 6)
= 10 x 7 + 6
= 70 + 6
= 76
3) 11. 3x - 9 ( if x = 6)
= 11 x 3(6) - 9
= 11 x 18 - 9
= 198 - 9
= 189
4) 12. 63/x ( if x = 6)
= 12 x 63/6
= 126
5) 13. 5 + 5x + 10 ( if x = 6)
= 13 x 5 + 5(6) + 10
= 65 + 30 + 10
= 105
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A random sample of 100 adults aged 18 years or older were given a list of ice cream flavors and were asked to list which flavors they liked. The responses are given below. Chocolate 45 Strawberry 42 Vanilla 23 Mocha 19 Which of the following graphs would be most appropriate for visually displaying the results? Pie Chart Frequency Bar Graph Relative Frequency Bar Graph
Answers
The most appropriate graph to visualize the information is a PIE CHART. The frequency bar graph makes an independent bar of each fruit each, while it is ideal, it is not easy to identify the total or percentage of each.
Both charts could be used to make a display of the information given.
The frequency bar graph makes an independent bar of each fruit each, while it is ideal, it is not easy to identify the total or percentage of each.
The pie chart could be used to represent a whole of the 100 fruits as a single circle and divides the circle into parts based on the number of fruit belonging to each type including their respective percentages.
Also, since the number of fruits/types are just 5, using a pie chart gives a more accurate and readable visual representation of the information.
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A cone with a diameter of 16 centimeters has a volume of 320(pie)cubic centimeters. Find the height of the cone.
Answers
A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.
What is volume of cone?A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.
Cone volume is calculated using the method V=1/3πhr².
Given that,
diameter(d) = 16 cm
radius (r) = d/2 = 8 cm
volume = 320π cubic centimeters
πr²h/3 = 320π
or, [π × (8)² × h]/3 = 320π
or, h = (3 × 320)/(8)²
or, h = 15 cm
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math mat mhaha ha hbahuh gyahy w guabhbhabhabhnahqnhuabuha vha ya yva cyvvahba cya yva buabbyga hay avu aygabyga ygabgyagyabhyabga ahh abbahhajna buiajaj
qhubuag qjjbbaqbjbqhuqguqbqbqyqbyqbyqb math help
Answers
So, we know that JI and JX are perpendicular (first statement). That just means that they mean at an angle of 90*.
That means CIJ has an angle of 150*-90*=60*. Therefore, as IG bisects CIJ , both CIG and GIJ have angle 60*/2=30*.
Half a circle has 180*. GIR is just short of CIG to be a half circle.
Therefore
180*-mCIG=mGIR
We know mCIG was 30*, so
150*=mGIR
The residual plot shows the residuals for the day of the month and the amount in Kali’s checking account. Which statement best assesses the linearity of the relationship between the day of the month and account balance if the scatterplot appears to be reasonably linear?
A) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
B) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
C) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
D) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
Answers
The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.
When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).
If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.
Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.
Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.
In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
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Answer:
person above
Step-by-step explanation:
the obvious
Please answer with picture thank you so much!
Answers
Answer: 28
Step-by-step explanation: In this problem, we're given information about the parts of a segment and we're asked to find the value of x.
To find the value of x, we can use the segment addition postulate.
Looking at the diagram, it should make since that RS + ST = RT.
So 4x + 3x + 11 = 60 or 7x + 11 = 60.
Subtracting 11 from both sides and solving for x, we get x = 7.
Since RS is 4x, we can substitute a 7 in for x to get 4(7) or 28.
Option (c) 28 is your correct answer.
Given:-In a line given three coordinates point R, S and T.Where, the distance RS = 4x , ST = 3x + 11 and the total distance RT = 60 (Given).To find:-The distance between RS = ?➤ Solution:-RS + ST = RT
substitute the value in equation
=> 4x + 3x + 11 = 60
=> 7x + 11 = 60
11 will move to RHS to sub from 60 to get 49.
=> 7x = 60 - 11
=> 7x = 49
=> x = 49÷7
∴ x = 7
Now, finding distance between RS by putting 7 in x value.
Distance between RS = 4x
= 4(7)
= 28
Therefore, the distance between RS is 28.
Which value of x is a solution of the equation 4(x + 3) - 10 =6 (x -2)
Answers
\(\huge\text{Hey there!}\)
\(\large\textsf{4(x + 3) - 10 = 6(x -2)}\\\large\textsf{4(x) + 4(3) - 10 = 6(x) + 6(-2)}\\\large\textsf{4x + 12 - 10 = 6x - 12}\\\large\textsf{4x + 2 = 6x - 12}\\\large\text{SUBTRACT 6x to BOTH SIDES}\\\large\textsf{4x + 2 - 6x = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\text{NEW EQUATION: \textsf{-2x + 2 = -12}}\\\large\text{SUBTRACT 2 to BOTH SIDES}\\\large\textsf{-2x + 2 - 2 = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\textsf{-2x = -14}\\\large\text{DIVIDE -2 to BOTH SIDES}\)
\(\mathsf{\dfrac{-2x}{-2}= \dfrac{-14}{-2}}\\\large\text{CANCEL out: }\rm{\dfrac{-2}{-2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{-14}{-2}}\large\text{ because it helps solve for the x-value}\\\large\text{NEW EQUATION: }\mathsf{x = \dfrac{-14}{-2}}\\\large\text{SIMPLIFY IT!}\\\large\textsf{x = 7}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\textsf{x = 7}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
The advertising sticker on Allen's
new car says it gets 36 miles per
gallon on the highway. The graph
represents the actual relationship
between the number of miles Allen
drove on the highway and the
gallons of gasoline his new car used.
How does the advertised gas
consumption rate compare to the
actual rate?
Answers
Answer:
Step-by-step explanation:
The rate in this case is slope of the line. The formula of a slope is m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
(10, 325)
(4, 130)
m = \(\frac{325-130}{10-4}\) = \(\frac{195}{6}\) = 32.5 miles per gallon
The actual rate is less (better) than advertising.
Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3. Let M denote the event that you will receive a Merit scholarship. Let A denote the event that you will receive an Athletic scholarship. Answer questions 11-15. What is the probability that you will receive a Merit scholarship
Answers
Answer:
The probability of obtaining a Merit Scholarship = 0.23
Step-by-step explanation:
From the given information:
The probability of obtaining a merit scholarship P(A) = 0.18
The probability of obtaining both P(A ∩ M) = 0.11
The probability of getting at least one P(A ∪ M) = 0.3
The objective is to determine the probability of obtaining a Merit Scholarship.
So, as given:
if M represents Merit Scholarship and A represent Athletic Scholarship,
the probability of obtaining a Merit Scholarship is as follows;
P(M) = P(A ∪ M) + P(A ∩ M) - P(A)
P(M) = 0.3 + 0.11 - 0.18 = 0.23
P(M) = 0.23
Confused on this part
Answers
Answer:
The first 2 and the last one
Step-by-step explanation:
You need to have an input per output, and to choose one or multiple the need to have a continuous pattern. Ex.+5 ad -2 on both sides every time would be a linear function.
Find the x- and y-intercepts of the graph of 2x - 3y = 30 State each answer as an integer or an improper fraction in simplest form.
Answers
x int = 15
y int = -10
y intercept can be found bt setting X to 0
x intercept can be found by setting Y to 0
2(0) - 3y = 30 --> -3y = 30 --> y = -10
2x - 3(0) = 30 --> 2x = 30 --> x = 15
alternatively, y int is "b" in eq. y = mx + b
-3y = 30 -2×
y = -10 + (2/3)x
y = (2/3)x - 10
b = -10
15 1/2 x 12 1/4 I NEED HELP QUICK
Answers
Answer:
189.875
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can first change these mixed numbers to improper fractions. That will help us multiply easier. Then, we'll multiply.
= \(\frac{31}{2}\) × \(\frac{49}{4}\)
= \(\frac{1519}{8}\)
= 189 \(\frac{7}{8}\)
Have a great day!
Today's temperature is -9 degrees which is 6 less than five times the temperature yesterday
A) 5x-9=6
B) 5x-6=-9
C) 6-5x=-9
D) -9+5x=-6
Which one?
Answers
1) -9=6 less than 5 times the temperature yesterday
2) -9=6 less than 5x
3) -9=5x-6
4) 5x-6=-9
Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that costs $1,400 that she plans to put on her credit card. This will be her only purchase this month, and she will be making this purchase on the last day
of the month.
Part A
If her finance charge will be $51, write and solve an equation to determine her current balance on her credit card. Show your work.
Part B How much in finance charges can she save by making the purchase on the last day of the billing cycle versus the first day of the billing cycle?
Answers
Part A: If her finance charge will be $51, an equation to determine Rebecca's current credit card balance is x = (51 - 1) ÷ 0.02.
Part B: Rebecca can save $27 in finance charges by making the purchase on the last day of the billing cycle instead on the first day.
What is an equation?An equation is a mathematical statement showing that two or more mathematical expressions share equality in value.
Equations are depicted using the equation symbol (=).
What is a finance charge?A finance charge includes the interest and other fees charged on credit cards.
The finance charge is usually based on a stated APR (annual percentage rate).
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 ont the last day = $27 ($28 - $1)
Thus, 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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.......... do it now? Can't I do it later?
a) I've to
b) Have I
c) Do I have to
d) Should I
Answers
Answer:
d
Step-by-step explanation:
You are asking a question trying to suggest whether it can be done later
A polynomial function contains the factors x, x - 3 , and x + 1 Which graphs could represent the polynomial function? SELECT ALL THAT APPLY.
Answers
Answer:
Option B and F.
Step-by-step explanation:
Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,
\(x = 0\)
x - 3 = 0 ➡️ x = 3
x + 1 ➡️ x = -1
Plus, the polynomial has the zeroes -1, 0 and 3.
It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.
Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).
It is observed that the graphs in options B and F follow this path.
So the correct choices are option B and F.
Let \(f(x)=2(3)^x^+^1\). Evalulate \(f(2)\) without using a calculator. Do not include \(f(2)\) in your answer.
Answers
\(f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54\)
How do I do number 1??
Help me it’s due tomorrow!!!
Answers
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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can i have help with this pls, no one will teach me it
Answers
Answer:
x = 21
Step-by-step explanation:
As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:
3x + 18 + 4x + 15 = 180 add like terms
7x + 33 = 180 subtract 33 from both sides
7x = 147 divide both sides by 7
x = 21
Tanya bought the least expensive brand of dog food. Which brand did each person buy?
Brand Price per bag
A $12.49
B $11.55
C $12.09
D $11.59
Answers
Answer:
B.
Step-by-step explanation:
B is the least expensive
HELP ASAP I NEED SOMEBODY SMART
Answers
Hope this helps
There were 40 marbles in a bag. Some of the marbles were yellow, and the rest were black. For a game, 3/5 of the 40 marbles were chosen and 16 of these were black.
Use this information to answer the questions below.
If not, enough information is given to answer a question, click on "Not enough information."
(a) How many of the bag's yellow marbles were chosen?
(b) How many of the bag's marbles were chosen?
(c) How many black marbles were in the bag before the game?
Answers
The answer of the following are; A. 16 yellow marbles were chosen
B. 24 marbles were chosen
C. Not enough information.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are obtained data from the question. This include the following:
marble = 40
Black marble =..?
A. From the question given, 3/5 of the 40 marbles were chosen. It therefore means that 2/5 were not chosen and 16 of these were black.
yellow marble chosen = 2/5 x 40 = 16.
Therefore, 16 yellow marbles were chosen.
B. From the question given, 3/5 of the 40 marbles were chosen.
marble chosen = 3/5 x 40 = 24.
Therefore, 24 marbles were chosen.
C. Not enough information because the number of black marbles in the bag was not given, we can not obtain the total number of marbles that were not chosen.
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Please help I’ll upvote your work
Answers
The solution set of f(x) > 0 is x ∈ (-2, 8).
What is the set of the function?
To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.
Let's start by finding the domain of the function:
x² - 6x - 16 ≠ 0
We can solve for x by using the quadratic formula:
x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13
So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).
Now let's factor the numerator and denominator of f(x):
f(x) = (x + 10)/[(x - 8)(x + 2)]
The critical points occur where the numerator or denominator of f(x) changes sign.
The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.
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Simplify each term. please help!! 30 points + brainliest :)
1. -(-3y)³
2. (2c)⁵
3. (-2m)⁴
4. (4g)³
5. (7j)²
6. (-5z)⁵
Answers
Answer:
1. 27y^3
2. 32c^5
3. 16m^4
4. 64g^3
5. 49j^2
6. -3125z^5
Step-by-step explanation:
Can you help answer my question too, please?
complete the equation to fing the quotient of 2,275÷7
Answers
the quotient is that best of luck
Consider the golfing situation described. Select at least one graph that you believe models the path of the golf
ball if the golfer makes a hole in one (when the golfer hits the ball into the hole in one shot).
100
(60, 80)
(60, 40)
50
(0,0)
(120,0)
(0,0)
(120,0)
150
100
a.
b.
(0.80)
(0,80)
(-120,0)
(120,0)
(-60, 0)
(60,0)
-100
100
50
C.
d.
d
Answers
The answer is the last one. The one with (-60,0) (0,80) and (60,0)
find the product in lowest terms 24/18x2/17x34/3
Answers
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
99 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.
We know that, to find volume:
Volume = π * \(r^2\) * h
For the smaller stockpot:
Radius (r) = 2.5 inches
Height (h) = 10 inches
Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches
For the larger stockpot:
Radius (r) = 2.5 inches
Height (h) = 16 inches
Volume = π * (2.5)² * 16
≈ 628.32 cubic inches
Thus, the volume of larger one is 628.32 cubic inches.
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