QUESTION 1
A credit card has a balance of $1,400. The APR is 25% and the minimum payment is 3% of the balance. You will pay the minimum balance this month. If you do not use the card again then how much
should the balance be next month?
QUESTION 2
A credit card with an APR of 18% has a balance of $2500 on it. You make a $1400 payment that posts on the 11th day of a 31-day month. How much interest will you be charged for the month?
QUESTION 3
Suppose we have a card with an APR of 25%. The minimum payment is 7% of the balance Suppose we have a balance of $350 on the credit card. We decide to stop charging and to pay it off by making
the minimum payment each month.
Calculate the new balance after the first minimum payment is made.
Calculate the minimum payment that is due the next month.
QUESTION 4
Your credit card has a balance of $2500 and an interest rate of 21%. The credit card requires a minimum payment of 3%
Lennors

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer:

A) 18a^6b^2

Step-by-step explanation:

area = width x length

length = area/width

144a^8b^4/8a²b^2 = 18a^6b^2

The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

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Answer:

12,000

Step-by-step explanation:

Multiply 2,000 by 6 to get your answer

Hope that helps!

5a) The total cost of buying the car, priced at $32,000 with the harmonized sales tax (HST) of 13%, is $36,160.

5b) Through the lease, the customer saves $14,760.

5c) The lease options for the lessee after returning the car include:

6a) The after-tax cost of the Honda Civic is $32,199.35.

6b) The value of the vehicle that needs to be financed is $26,199.35.

6c) The monthly payment will be $567.26 for 4 years.

6d) After four years, the total amount paid for the vehicle is $33,228.48.

A lease is a financing option for the use of capital assets by which the lessee utilizes an asset for a stated period while making periodic payments to the lessor.

A car purchase can also be financed through loans, like home mortgages.

Value of the car = $32,000

Harmonized Sales Tax (HST) = 13%

Cost of the car with HST = $36,160 ($32,000 x 1.13)

Down payment = $1,000

Financing part = $35,160 ($36,160 - $1,000)

Installment payments = 48

Periodic payments = $425

Total lease cost = $21,400 ($1,000 + 48 x $425)

Savings (advantages) from leasing = $14,760 ($36,160 - $21,400)

The value of the Honda Civic = $28,495

Harmonized Sales Tax (HST) = 13%

After-tax cost = $32,199.35 ($28,495 x 1.13)

Annual interest rate = 1.9% compounded monthly

Down payment = $6,000

Financing part = $26,199.35 ($32,199.35 -$6,000)

Financing period = 4 years

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 1.9%

PV (Present Value) = $26,199.35

FV (Future Value) = $0

P/Y (# of periods per year) = 12

C/Y (# of times interest compound per year) = 12

Results:

Monthly Payments (PMT) = $567.26

Sum of all periodic payments = $27,228.48

Total Interest $1,029.13

Total amount paid over 4 years = $33,228.48 ($27,228.48 + $6,000)

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Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

Answer:

7

Step-by-step explanation:

10+4 = 14

14/2  = 7

x = 7

Answer:

Step-by-step explanation:

https://web.gccaz.edu/~johwd63181/MAT142/chapter_1/solutions/section%201.4%20solutions.pdf

Answers:

==========================================================

Explanation:

For the theoretical probability, we ignore the table completely. We just consider that each card has an equal chance of showing up. We have 5 cards total (1 through 5), and exactly one card shows the value "4". The theoretical probability of picking this card is 1/5 = 0.20 = 20%

Now we'll consider the table when it comes to computing the experimental probability (aka empirical probability). The table says that the card labeled "4" shows up exactly 48 times out of 200 total. Therefore, we get an experimental probability of 48/200 = 0.24 = 24%

We see that the theoretical probability is less than the experimental probability. If we did more trials (eg: say 1000 trials instead of 200), then the experimental probability should get closer to 20% based on the law of large numbers. The theoretical probability will stay the same no matter how many trials you do. In a sense, the theoretical probability is the target we aim for while the experimental probability is where we actually land on the dart board.

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

B. Yes, because it passes the vertical line test.

Step-by-step explanation:

Let's review why the other answers are incorrect.

First, A would not be correct since a curved line doesn't necessarily indicate that it is a function, however, it is a non-linear function since it's not a straight line but rather a curved line as said. Now, you might be wondering why exactly A would not be correct even if it is a non-linear function, the reason is because most of time, you are asked to find and determine if a graph is a function or not using the vertical line test.

Second, C would not be correct since it is saying that a function has to be a straight line, but as we've covered that above, in which a function does not have to be linear and can be non-linear which means it's a curved line. Thus, C is not correct as non-linear functions exist.

Third, D would not be correct because this graph actually does pass the vertical line test. In order for the graph to fail the vertical line test, it has to touch the graph in the same x points. This graph passes the vertical line test, since the x coordinates haven't repeated yet, however in some cases, the direction of the line may suddenly change and touch upon the same x points. But, in theory, this line would be starting from the origin and heading to infinity with it's curvature.

Lastly, the reason why B is correct is due to it passing the vertical line test. Again, we already covered this in the 3rd reason but I must make it clear that, this is a function since it passes the vertical line test.

Answer:

B

Step-by-step explanation:

We can eliminate options A and C because in order to be a function, a graph doesn't have to be curved or a straight line. For examlpe, a straight line isn't curved, and a parabola isn't a straight line, but they are still functions. This leaves us with options B and D, which both pertain to the vertical line test. If we conduct this test, we will find that no vertical line intersects the graph and 2 points. Therefore, it passes the vertical line test, and is a function. Hope this helps!

Answer:

It has two terms.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to use the quadratic formula

x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)

and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2

you usually have to reject an answer but since there is no equal sign in the question, you should be fine

Answer:

the initial height is 12 and the slope is -2

Step-by-step explanation:

slope formula: m = \(\frac{y2-y1}{x2-x1}\)

plug it an and you get: m = \(\frac{0-12}{6-0}\)

\(\frac{-12}{6}\) = -2

Answer:

easy

Step-by-step explanation:

How to solve a system of equations by elimination.

Write both equations in standard form.

Make the coefficients of one variable opposites.

Add the equations resulting from Step 2 to eliminate one variable.

Solve for the remaining variable.

Substitute the solution from Step 4 into one of the original equations.

Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

The difference between two numbers is 12. If one number is represented by x, the other number can be expressed as x - 12. The product of the numbers, P(x), expressed in the form P(x) = ax²+bx + c, is P(x) = x² - 12x

x*(x - 12)

x*x - x*12

x² - 12x

Answer:

24:26 and 36:39 are two ratios that are equivalent to 12:13.

Step-by-step explanation:

All polar coordinates of point P where P = ordered are given are mathematically given as

(6, negative pi divided by 5 + 2nπ) or (-6, negative pi divided by 5 + (2n + 1)π)

Option B is correct.

Generally, the equation for all polar coordinates is mathematically given as

\(P= 6,\frac{-pi}{5}\)

Finding the whole set of polar coordinates for An arbitrary point's polar coordinates may be written as (r, ), where (r, ) = (r, +2n) for some n and r.

If n is a positive integer and r is negative, then (r,) = (-r, +(2n+1)).

In conclusion, we may solve the problem by setting r = 6 and = -/6.

If n is an integer and r is positive, then P(6,-/6) = (6, -/6) + 2n, and if n is an integer and r is negative, then P(-6,-/6) = (-6, -/6) + (2n+1).

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MODE IS THE NUMBER THAT IS REPEATED THE HIGHEST TIME..

HERE, IN YOUR QUESTION 5CAME 2 TIMES i.e. it is repeated highest time .so mode=5....

Answer:

Step-by-step explanation:

3.9

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

The computation shows that the examples of values that will give the exact value of 45 will be:

It should be noted the information is incomplete as the options aren't given and not properly written.

In this case, the examples will be given:

An example of value that will give 45 will be:

= ✓25 × ✓81

= 5 × 9

= 45

The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.

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Answer:

0.1

Step-by-step explanation:

For a density curve, total area = 1

Probability lies in between 0 and 1

The Area of rectangle :

Area = Length * width

Length = 0 - 10 = 10

Area = 1

Hence,

Area = Length * width

1 = 10 * w

1 = 10w

w = 1 /10

w = 0.1

Answer:

33

Step-by-step explanation:

Answer:

Assuming you meant 19 1/2 then the answer would be 9.

Step-by-step explanation:

From the information given, in three hours, 2769 cars passed through a tollbooth.

Thus, the average number of cars that pass through the toll booth per hour is

2769/3 = 923

the average number of cars that pass through the toll booth per hour is 923

Answer:

5 pounds

Step-by-step explanation:

(.15(20))/(20+w)=.12

3/(20+w)=.12

20+w=25

w=5

So 5 pounds of water must be added to the solution.

The ranking from the lowest to highest APR for the given companies is A, B, D, C.

The correct option is b.

To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).

Let's calculate the APR for each company:

For Company A:

APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%

For Company B:

APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%

For Company C:

APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%

For Company D:

APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%

Now, we can rank the companies from the lowest to highest APR:

Company A - APR: 2.028%

Company B - APR: 4.054%

Company D - APR: 4.79%

Company C - APR: 5.475%

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Answer:

y=[x+1]-3 because it's at the end of the line