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The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.

Given the Annual Percentage Rate (APR) on credit card is 17.8%.

Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.

To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).

So, given APR = 17.8%

Now, daily percentage rate will be:

⇒ Daily percentage rate = Annual Percentage Rate ÷ 365

⇒ DPR = APR / 365

⇒ DPR = 17.8% ÷ 365

⇒ DPR = 0.048%

Therefore, daily percentage rate (DPR) is equal to 0.048%.

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9514 1404 393

Answer:

  C. y is 6 less than x

Step-by-step explanation:

It is not hard to check.

  A. 6 times x is 6×8 = 48, not 2

  B. 6 times y is 6×2 = 12, not 8

  C. 6 less than 8 is 2; 6 less than 9 is 3

  D. 6 more than 8 is 14, not 2

__

The relation described in C matches the table.

Answer:

The temperature inside the freezer dropped 36°C.

Step-by-step explanation:

You need to subtract the new temperature from the old temperature to get the difference. That's a pretty cool freezer! (Pun intended!)

I hope this helps!

In the given case, the population is assumed to have a normal distribution.

When creating a confidence interval for the population mean with a sample size of 100, the population is taken to have a normal distribution. This is due to the Central Limit Theorem, which asserts that regardless of the population distribution's form, the distribution of the sample means approaches a normal distribution as the sample size increases.

Therefore, it is safe to infer that the population mean is normally distributed when the sample size is large enough, for instance, n>30. Additionally, it is also ideal to conclude that the population mean has a normal distribution since a sample size of 100 is greater than 30.

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Answer:

tan b

Step-by-step explanation:

Answer:

x=70

Step-by-step explanation:

Due to the law of alternate interior angles, we can see that one of the angles in the triangle is equal to 35 degrees as well (please see the picture attached).

We're given that one of the exterior angles of the triangle is equal to 105. The exterior angle of a triangle will always be equal to the sum of the two opposite interior angles. Knowing this, we can write:

x+35=105

Subtract both sides by 35

x+35-35=105-35

x=70

Therefore, the value of x is 70 degrees.

I hope this helps!

Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

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Jane will have traveled a average of 7 miles, so she will be 5 miles away from her starting point. This can be approximated to 5.00 miles, which can be rounded to the nearest hundredth.

1. Jane has walked north for 3 miles.

2. Jane has turned 45 degrees to the right.

3. Jane has walked 4 miles after turning 45 degrees to the right.

4. Jane is now 5 miles away from her starting point. This can be approximated to 5.00 miles, which can be rounded to the nearest hundredth.

Jane has walked 3 miles north and then turned 45 degrees to the right and walked 4 more miles. This means that she has traveled a total of 7 miles from her starting point. To calculate the exact distance, we use trigonometry. We can approximate the distance to 5.00 miles, which can then be rounded to the nearest hundredth. This means that Jane is 5 miles away from her starting point.

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The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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Answer:

m=2

b=1

y=2x+1

Step-by-step explanation:

First, slope is change in y over change in x, or rise over run. Plugging these points in, (y2-y1)/(x2-x1)=(1--5)/(0--3), or 6/3, simplifying, the slope= 2.

Next, the y-intercept is where the line intersects the y-axis, or when x is 0. Looking at the point (0,1), the y intercept is 1.

Using slope intercept form, y=mx+b, or y=2x+1.

Answer:

m= 2

b=1

y=2x+1

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

To find out how many months it takes to pay off the credit card and the total amount paid including interest, we can use the following steps:

Step 1: Calculate the monthly interest rate

Divide the annual percentage rate (APR) by 12 to get the monthly interest rate.

Monthly interest rate = 14.5% / 12 = 0.145 / 12 = 0.01208 (rounded to 5 decimal places)

Step 2: Set up the equation for the number of months

Let's denote the number of months it takes to pay off the card as 'n'. The monthly payment is $1,200.00, and the initial balance is $3,287.90. The monthly interest rate is 0.01208. The equation for the number of months can be written as:

(1) $3,287.90 ×\((1 + 0.01208)^n\) - $1,200.00 ×\([(1 + 0.01208)^n\) - 1] = 0

Step 3: Solve the equation

To find the value of 'n', we need to solve equation (1). However, solving it algebraically can be complex. Instead, we can use numerical methods like trial and error, or we can use a spreadsheet or a calculator to find the solution.

Using a spreadsheet or a calculator, we can input the values and increment 'n' until we find the point where the equation equals zero.

After performing the calculations, it is determined that it takes approximately 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

Therefore, the answer to the original question is that it takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

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Answer:

the answer is 45

Step-by-step explanation:

hope this helps

Answer:

she has 16 correct answer

Step-by-step explanation:

Mathematically ,we can translate this word problem into this system of equations :

\(\begin{cases}5x-2y=72&\left( 1\right) \\ x+y=20&\left( 2\right)\end{cases}\)

\(\Longleftrightarrow \begin{cases}5x-2y=72&\left( 1\right) \\ 2x+2y=40&2\times\left( 2\right)\end{cases}\)

\(\Longleftrightarrow \begin{cases}7x=72+40=112&\left( 1\right)+2\times(2) \\ x+y=20&\left( 2\right)\end{cases}\)

\(\Longleftrightarrow \begin{cases}x=\frac{112}{7}=16 \\ y=20-x=20-16=4&\left( 2\right)\end{cases}\)

Answer:

-15%.

Step-by-step explanation:

Subtract 68 by 80 to get -12.

Divide -12 by the absolute value of 80 to get -0.15.

Multiply 100 to -0.15 to get -15.

Answer:

Step-by-step explanation:

I think it's the loan balances decreases $500 per month because every month it starts decreasing down by 500

Answer:

Answer is B

Step-by-step explanation:

The function that models the relationship between the number of students enrolled, f(x) and the number of years after 2015, x,  is D. f(x) = 3000(0.98)*.

Mathematically, a function defines a mathematical relationship or an algebraic expression involving one variable (the independent variable) and another variable (the dependent variable).

There are four main types of mathematical functions, including:

The number of students enrolled in 2015 = 3,000

The annual decrease in students enrollment = 2%

Let f(x) the model modeling the relationship between the number of students enrolled and the number of years after 2015.

Let the number of years after 2015 = x.

Thus, the correction function is D. f(x) = 3000(0.98)*.

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Answer:

f(2) = 1

x = 0

Step-by-step explanation:

f(2) = 1 since y=1 when x=2.

f(0) = -3 since x=0 when y=-3

EXPLANATION

The Area of a square shape is:

Area= side*side = s^2

If we have that:

Area = 121 yd^2, then:

121=s^2

Isolating s:

Answer:

1.016 of a mile.

Step-by-step explanation:

Answer: 0.0825

Step-by-step explanation: Geometric progression is a series where the consecutive terms are found out after multiplying the previous one

-45 I guess

Step-by-step explanation:

because the Gap is 17 when you observe the 4th is 43 and the 2nd is 9 the 3rd is 26 ......the 10th is -45

Answer:

the answer should be B) 8

Step-by-step explanation:

Answer:

the photo below has 8 faces

Answer:

The answers are 3 and 5

The only thing u had to do is

x-5=0

x=5

7x-21=0

7x=21

x=3

Answer:

First?

Step-by-step explanation:

its trickyyyy for the first and the last

Answer:

Move all terms not containing  a  to the right side of the equation:

a/5 = 11

Multiply both sides of the equation by 5:

5  x a 5  =  5  x  11

Simplify both sides of the equation:

a=55

Step-by-step explanation:

Step by step-

1. Find common denominator

2. Combine fractions with common denominator

3. Multiply the numbers

4. Multiply all terms by the same value to eliminate fraction denominators

5. Cancel multiplied terms that are in the denominator

6. Multiply the numbers

7. Add 10 to both sides of the equation

8. Simplify

(THE PHOTOS SHOW YOU HOW TO DO IT STEP BY STEP IM SORRY, ITS ALOT!)

Answer:

c

Step-by-step explanation:

Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

9. The regression line is given as follows: y = 8.5x + 3.7.

10. The estimate for 2022 is given as follows: 71.7 million dollars.

The regression line is obtained inserting the points of the table into a linear regression calculator.

From the table, the points are given as follows:

(1, 13), (2, 19), (3, 31), (4, 36), (5, 47).

(considering x as the number of years since 2014).

Inserting these points into a calculator, the equation is given as follows:

y = 8.5x + 3.7.

2022 is 8 years after 2014, hence the estimate is given as follows:

y = 8.5(8) + 3.7 = 71.7 million dollars.

(numeric value at x = 8, replace the lone instance of x by 8).

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Answer:

$2904.59

Step by Step Explanation: