In one particular month, a person has a balance of $$ 1,360 on their credit card for 8 days. They then make a purchase and carry a balance of $$ 2,100 for the next 11 days. Then this person makes a payment and carries a balance of $$ 1,090 for the remaining 12 days in the month.

What is their average daily balance rounded to the nearest cent?

Answer:

see below:

Step-by-step explanation:

2y–6=0

a.  slope intercept form using y = mx + b

   y = 6/2

   y = 3

b.  slope: use the slope intercept form: y = mx + b

    slope = m = 0

c.  y-intercept = (0,3)

Answer:

slope intercept form: y=3

the slope:0

the y-intercept(0,3)

Step-by-step explanation:

the girl's tangential speed is 2.2 m/s.We can use the centripetal acceleration formula to solve for the tangential speed.

The centripetal acceleration of an object moving in a circle is equal to the square of the velocity of the object divided by the radius of the circular path. In this case, the radius of the path is 2.1 m, and the centripetal acceleration is 3.0 m/s2. To solve for the tangential speed, we can rearrange this equation to give us the velocity of the object:

\(a_c\) = \(v^2\) / r

where \(a_c\) is the centripetal acceleration, v is the tangential speed, and r is the length of the rope.

Plugging in the given values, we get:

3.0 m/s^2\(s^2\) = \(v^2\) / 2.1 m

Solving for v, we can multiply both sides by 2.1 m and then take the square root:

v = sqrt(3.0 m/\(s^2\) * 2.1 m) = 2.2 m/s

Therefore, the girl's tangential speed is 2.2 m/s.

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The probability that a customer ordered a large drink, given that they ordered a hot drink, is 0.268 or approximately 0.27.

In general, the probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if you roll a fair six-sided die, the probability of rolling a 3 is 1/6, since there is one favorable outcome (rolling a 3) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).

There are different types of probability, including:

Classical probability: based on the assumption that all outcomes in a sample space are equally likely

Empirical probability: based on actual observations or experiments

Subjective probability: based on personal beliefs, opinions, or judgments

To find the probability that a customer ordered a large drink given that they ordered a hot drink, we need to use Bayes' theorem, which states:

P(B|A) = P(A|B) * P(B) / P(A)

where:

P(B|A) is the probability of B given A

P(A|B) is the probability of A given B

P(B) is the prior probability of B

P(A) is the marginal probability of A

In this case, let A be the event that the customer ordered a hot drink, and let B be the event that the customer ordered a large drink. Then we have:

P(A|B) = P(A n B) / P(B), the probability of a customer ordering a hot drink given that they ordered a large drink.

P(B) = (22 + 5) / 100, the prior probability of a customer ordering a large drink.

P(A) = (5 + 48 + 22) / 100, the marginal probability of a customer ordering a hot drink.

To find P(A n B), the probability of a customer ordering both a hot and a large drink, we can see from the table that there are 22 customers who ordered a large hot drink. Therefore:

P(A n B) = 22 / 100

Putting everything together, we have:

P(large|hot) = P(A|B) * P(B) / P(A)

= (22/100) / [(5+48+22)/100]

= 0.268

Therefore, the probability that a customer ordered a large drink, given that they ordered a hot drink, is 0.268 or approximately 0.27.

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Answer: Part A is (-9, 13) Part B is (9, 13)

Step-by-step explanation:

Answer:

the answer is 38.5 feet

Step-by-step explanation:

divide 7 by two the multiply by 11

x = 70°, y = 30°, z = 20°

Step-by-step explanation:

Right triangle have a total internal angle of 180°.

x = 180° - 110°

= 70°

z = 180° - 90° - x

= 180° - 90° - 70°

= 20°

y = 180° - 40° - 90° - z

= 180° - 40° - 90° - 20°

= 30°

Answer:

1:8

Step-by-step explanation:

since the base and sides are equal, I'll use 2 as a value for them. since all square sides are equal, we can find the area of the square. 2(2)=4. this means that in the situation the area of the triangle is 16.

16=1/2(2)h

32=2h

16=h

the height of the triangle is 16, while the side of the square is 2. the ratio is 2:16, or 1:8

Answer:

9,18,27

Step-by-step explanation:

9 is a multiple of 3 so the first 3 multiples of 9 are the same as the first 3 multiples of 3 and 9.

Answer:

Right angled triangle

Step-by-step explanation:

Right angled triangle has angle of 90degree

Answer:

Step-by-step explanation:

It applies only to a right angled triangle.

The area of the triangle is 120 cm².

What is a triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Given that the base of the triangle is 12 cm and the hypotenuse is 32 cm.

The height of the triangle is 8 more than the base.

The height of the triangle is (12 + 8) = 20 cm.

The area of a triangle is 1/2 × base × height.

The area of the triangle is  1/2 × 12 × 20

= 12 × 10

= 120cm²

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Since the researcher is merely observing and comparing existing groups without any manipulation or intervention, this study is classified as an observational study.

In an observational study, the researcher observes and collects data on existing groups or individuals without intervening or manipulating any variables. In this case, the researcher selected two groups of grocery shoppers (one group shopping at a health food supermarket and the other at a neighborhood grocery store) and observed their food costs over a month. The researcher did not control or manipulate any factors or assign participants to specific groups.

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Answer:

30 degrees and 60 degrees

Answer:

the answers are C,D,E

Step-by-step explanation:

hope this helps luis!

According to the question we need to that company should order at least 11,505 batteries from the warehouse to be 99.7% certain of receiving at least 10,000 working batteries.

To calculate the number of batteries needed, we consider the probability distribution of the number of working batteries in a shipment. Assuming a 90% probability of a battery being working.

we use the binomial distribution to find the minimum value of n. By setting the probability of getting at least 10,000 working batteries to 99.7%, we determine that the company should order at least 11,505 batteries to meet this as criterion.

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Answer:C

Step-by-step explanation:

Answer:

the first one is x=3

Step-by-step explanation:

Base-case analysis, worst-case analysis, and best-case analysis are techniques used in business and project management to assess the potential outcomes of a given situation. These analyses help in making informed decisions and managing risks.

In a base-case analysis, the most likely scenario is considered. It assumes that all factors will perform as expected and there are no major deviations or unforeseen events. The base case provides a baseline for comparison with other scenarios.

Worst-case analysis, on the other hand, examines the scenario with the most negative outcome. It takes into account all possible risks and assumes that everything that can go wrong will go wrong. It helps identify potential vulnerabilities and plan for contingencies.

Best-case analysis evaluates the scenario with the most positive outcome. It assumes that everything will work perfectly and all favorable conditions will be met. This analysis is useful for setting performance targets and assessing the potential benefits of a project or decision.

To perform these analyses, specific variables and factors are identified, and their impact on the outcome is assessed. This includes considering financial data, market conditions, competition, technological factors, and other relevant aspects.

It is important to note that the base-case, worst-case, and best-case analyses are not definitive predictions but rather tools to assess different scenarios and their potential outcomes. They help in understanding the range of possibilities and making informed decisions based on risk tolerance and objectives.

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Step-by-step explanation:

I don't have a calculator with me right now but I can give you the equation to work out your answer.

cos-1(35/38)

There should be a function of "cos-1" on you're calculator, not just "cos"

hope it helps :)

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

The Triangle MNP in which m∠M = 15  and m∠N = 135 is similar to triangle ABC.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Triangle ABC has the following angle measures:

m∠A = 15° and m∠B = 120°.

We know that the addition of the angles of a triangle makes 180°, therefore:

m∠A + m∠B + m∠C = 180°

Replacing with data and solving for x:

15 + 120 + x = 180

x = 180 - 135

x = 45°

The Triangle MNP in which m∠M = 15  and m∠N = 135 is similar to triangle ABC.

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When a bank lends a portion of your money to others, the compensation you earn is called dividends. Thus, option A is correct.

A bank can be defined as an institution that comes under the head of a financial institution. This will provide various features that will be deemed beneficial to the people who will have the money deposited in the bank account.

The dividend is termed as the interest amount that is paid to the customer who is having a job in this same field. This was to generate revenue. Also, the amount will be an added income for the individual.

Therefore, option A is correct.

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Answer:

It's interest.

Step-by-step explanation:

According to the given statement the value for:

A. = 6x²

B. = 6x³

An expression that only uses the same operations of addition, subtraction, multiplication, and non-negative integer exponentiation of factors is said to be a polynomial. It consists of indeterminates and coefficients. x²+4x + 7 is an illustration of a polynomial of one uncertain x.

Polynomials are added by combining like terms.

We can see that adding 6 and 8 together yields 14, and adding 3 and 5 together yields 8.

We also understand that adding something to -4x² yields 2x². We deduct to obtain the value that is missing:

2x²-(-4x²) = 2x²+4x² = 6x².

Similarly for the second equation on solving we get:

Polynomials are added by combining like terms.

We also understand that adding something to -b³ yields 5b³. We deduct to obtain the value that is missing:

5b³-(-b³) = 5b³+ b³ =  6x³.

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I understand that the question you are looking for is:

Use what you know about addition and subtraction of polynomials to find the missing term represented

by the question mark in each equation.

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x² + 14x + 8

? =

(-b³ + 3b2 + 8) – (? - 562 - 9) = 5b³ + 8b2 + 17

? =

The expression that represents the perimeter, in centimeters, of the rectangle is 29.2c + 5.6d.

The perimeter of a rectangle is the sum of the lengths of all its sides. In this case, the rectangle has two sides with a length (9.5c+6.2d) and two sides with a length (5.1c−3.4d).

Therefore, the perimeter can be calculated by adding the lengths of all four sides:

Perimeter = (9.5c+6.2d) + (9.5c+6.2d) + (5.1c−3.4d) + (5.1c−3.4d)

Simplifying and combining like terms, we get:

Perimeter = 2(9.5c+6.2d) + 2(5.1c−3.4d)

Perimeter = 19c + 12.4d + 10.2c − 6.8d

Perimeter = 29.2c + 5.6d

Therefore, the expression that represents the perimeter, in centimeters, of the rectangle is 29.2c + 5.6d.

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The rectangle with minimum perimeter and an area of 256 square inches has dimensions of 16 inches by 16 inches, and its minimum perimeter is 64 inches

We know that the area of a rectangle is given by A = lw, where l is the length and w is the width. We want to minimize the perimeter, which is given by P = 2l + 2w.

Using the given area of 256 square inches, we can solve for one of the variables. Let's solve for l:

l = 256/w

Substituting this expression for l into the equation for the perimeter, we get:

P = 2(256/w) + 2w

To find the minimum perimeter, we need to find the value of w that makes P as small as possible. We can do this by taking the derivative of P with respect to w and setting it equal to zero:

dP/dw = -512/w^2 + 2 = 0

Solving for w, we get:

w = sqrt(256) = 16

Substituting this value for w back into the equation for l, we get:

l = 256/16 = 16

Therefore, the rectangle with area 256 square inches and minimum perimeter has dimensions of 16 inches by 16 inches, and its minimum perimeter is:

P = 2(16) + 2(16) = 64 inches



To find the rectangle with minimum perimeter given an area of 256 square inches, we need to use the fact that P = 2l + 2w, where l is the length and w is the width. We can solve for one of the variables in terms of the other using the given area, and then substitute this expression into the equation for the perimeter. Taking the derivative of the perimeter with respect to the width and setting it equal to zero gives us the value of w that minimizes the perimeter. Substituting this value of w back into the equation for the length gives us the dimensions of the rectangle. Finally, we can plug in these values to find the minimum perimeter.


To summarize, the rectangle with minimum perimeter and an area of 256 square inches has dimensions of 16 inches by 16 inches, and its minimum perimeter is 64 inches. We found these values by solving for one of the variables in terms of the other using the given area, and then minimizing the perimeter using calculus.

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Answer:  35,000

Step-by-step explanation: