Conrad Savings Bank has a $50 overdraft fee. On Friday, Mr. McQuire deposited his paycheck of $332 for a total
account balance of $750. The next morning, his wife wrote a check for $1,183.15 for a new refrigerator and stove.
The check cleared the bank by the end of the day. What is the current balance in the McQuire's account?

Answer: ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

-3√2

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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The probability that Romina randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a sugar cookie is 7/100.

Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1.

The probability of picking an oatmeal cookie then a sugar cookie = (number of oatmeal cookies / total number of cookies) x (number of sugar cookies / total number of cookies -1)

Total number of cookies = 8 + 4 + 6 + 7 = 25

The probability of picking an oatmeal cookie then a sugar cookie = (7/25) x (6/24) = 7/100

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After doing some quick calculations, we can determine that X = −35.9

I hope this helps! :)

Answer:

x = -35.9

Step-by-step explanation:

Subtract both sides by 11.2                                                                                                 11.2 - 11.2 equals zero leaving x on one side.

x = - 24.7 - 11.2

A negative minus another negative number is a larger negative number.

x= -24.7 - 11.2 = -35.9

x = -35.9

Answer:

The area of this trapezoid is equal to 240 \(m^{2}\)

Step-by-step explanation:

The area of a trapezoid can be found by using the following formula...

\(Area = \frac{(a + b)h}{2}\)   (in this formula a and b are the bases of the trapezoid and h is

                         the height of the trapezoid).

Now we just substitute the values and get...

\(Area = \frac{(a + b)h}{2} = \frac{(9 + 15)(20)}{2} = \frac{480}{2} = 240m^{2}\)

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Answer:

-a^2

A

Step-by-step explanation:

-a/b=a/-b=-a/b to fraction

-1/a^-2

Answer:

it will depend on what state you are in

Step-by-step explanation:

depending on what state you are in will depend on the voting polls. and it would most likely be democratic

The equation of the largest sphere with center that is contained completely in the first octant is (x-1/2)² + (y-1/2)² + (z-1/2)² = 1/4.

First, let's define what the first octant is. The first octant is the space that is defined by positive x, y, and z coordinates. This means that all points in the first octant have a positive x-coordinate, a positive y-coordinate, and a positive z-coordinate.

To find the center of the sphere, we need to consider that it is contained completely within the first octant. This means that the center of the sphere must have coordinates that are less than the maximum values of x, y, and z coordinates in the octant.

Let's call the center of the sphere (a, b, c) and the radius r. Since the sphere is contained in the first octant, we know that a, b, and c are positive values. We also know that the sphere is the largest possible, so the radius r is equal to the minimum value of a, b, and c.

So, we can say that the equation of the sphere is

=> (x-a)² + (y-b)² + (z-c)² = r².

We need to find the values of a, b, c, and r such that the sphere is the largest possible and is completely contained within the first octant.

To find these values, we need to consider that the maximum values of x, y, and z in the first octant are all equal to 1 (since all coordinates are positive). So, we can set a, b, and c to be less than or equal to 1, and r to be the minimum value of a, b, and c.

After some calculations, we can see that the maximum value of r is 1/2 (when a = b = c = 1/2), and the center of the sphere is (1/2, 1/2, 1/2). Therefore, the equation of the largest sphere that is completely contained in the first octant is:

(x-1/2)² + (y-1/2)² + (z-1/2)² = 1/4.

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The common ratio of the resulting sequence is 1.4.

Given that, the three terms are 60, 100 and 180.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Let the same constant is added to the given number is x.

60+x, 100+x and 180+x

Now, the common ratio is

(100+x)/(60+x) = (180+x)/(100+x)

⇒ (100+x)(100+x)=(180+x)(60+x)

⇒ (100+x)²=10800+180x+60x+x²

⇒ 10000+200x+x²=10800+180x+60x+x²

⇒ 10000+200x=10800+180x

⇒ 20x=800

⇒ x=40

The three number are 100, 140 and 220

The common ratio is 140/100 =1.4

Therefore, the common ratio of the resulting sequence is 1.4.

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Mrs. Jack received $1299.35 after selling all of the T-shirts

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The T-shirts are sold at $19.99 each.

Mrs. Jack has 65(assuming) of them.

Therefore, the total amount of money Mrs. Jack received after selling

can be obtained by multiplying the cost of each T-shirt by the total number of T-shirts which is,

= $19.99×65.

= $1299.35.

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Answer:

1000

Step-by-step explanation:

Given:

Selling price of a machine = 7000/-

Gross loss = 20%.

To find:

The cost and gross loss.

Solution:

Let x be the cost of machine.

According to the question,

\(x-20\%\text{ of }x=7000\)

\(x-\dfrac{20}{100}x=7000\)

\(x-0.2x=7000\)

\(0.8x=7000\)

Divide both sides by 0.8.

\(x=\dfrac{7000}{0.8}\)

\(x=8750\)

So, the cost of the machine is 8750/-.

Now,

\(\text{Gross Loss}=\text{Cost}-\text{Selling price}\)

\(\text{Gross Loss}=8750-7000\)

\(\text{Gross Loss}=1750\)

Therefore, the gross loss is 1750/-.

By studying the question we can conclude that Rose's estimated annual homeowners insurance premium is $600.

Simply put, an insurance policy is a contract between a person and an insurance company with the purpose of providing financial protection. A legal agreement outlining the terms and circumstances under which an insurance firm will offer financial protection to a person or organisation is known as an insurance policy. The insurance provider agrees to pay out a specified sum of money in the case of a covered loss or incident in return for payment of premiums. The policy establishes the limitations of both the insurance company's obligation as well as what is not considered to be covered by the contract's conditions. There are numerous different kinds of insurance plans, including those for life, health, automobiles, and homes, among others.

The estimated annual homeowners insurance premium for Rose's house will depend on various factors such as the location of the property, the age and condition of the house, the coverage limits, and the deductible amount. However, as a rough estimate, a standard homeowners insurance policy typically costs around 0.3% to 1.5% of the home's value.

Assuming a moderate coverage limit and a deductible amount, Rose's estimated annual homeowners insurance premium would be:

0.5% of $120,000 = $600

So, Rose's estimated annual homeowners insurance premium is $600. However, it's important to note that this is just an estimate and the actual premium could be higher or lower depending on the specific details of her policy.

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Answer:

The height is 4 ft.

Step-by-step explanation:

Since the formula for volume is L * W * H  = V, we already know 3 of the values. We need to find the width. Our equation is this:

\(7.5*6*W=180\)

Multiply 7.5 and 6 together:

\(45*W=180\)

Divide both sides by 45:

\(W = 4\)

Our width is 4 ft.

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Answer:

prism R

Step-by-step explanation:

Answer:

In the United States, most competitive swimming pools are 25 yards long. This is the most standard length competition pool, and the one most commonly mistaken for an Olympic sized pool (by those who were not competitive swimmers).Most US high schools, public recreation centers, universities and YMCA's have 25-yard pools. Swimmers refer to this type of pool as "short course", or "short course yards". On paper, the acronym is SCY.

Step-by-step explanation:

PLWS MARK ME BRAINLIEST

\(\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star\)

18 ÷ 3

= 6/1

Option [a] 6 to 1 is correct !

Therefore , the solution of the given problem of probability comes out to be  there is π/4 chance that a spot picked at random inside the cube is also inside the cylinder.

The primary goal of the constructions with within style known as criteria is the evaluation of the likelihood that a claim is accurate or that a specific event will occur. Any number between 0 and 1, where 1 typically represents confidence and 0 usually reflects potential, can be used to symbolise chance. A probability range diagram shows the chance that a specific event will occur.

Here,

Assuming the cube has edges that are 2 lengths, its volume is

=> 23 = 8 cubic units.

The cylinder is inscribed in the cube, so its diameter is equivalent to the cube's two-sided edge length. Its radius is therefore 1.

Since the cylinder contacts both sides of the cube, its height is also 2.

=>  V = πr²h, where r is the radius and h is the height, gives the capacity of the cylinder.

When we change the numbers, we obtain:

=> V = πr²h  equals two cubic units.

In light of this, the volume of the cylindrical to the volume of the cube is expressed as follows:

=> (2π)/8 = π/4

As a result, there is π/4 chance that a spot picked at random inside the cube is also inside the cylinder.

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1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Answer:

Slope intercept formula= y=mx+b

Step-by-step explanation:

m is the slope of the line and b is the y intercept

in this case b=5

y=mx+5

now, to get to the next point, we find our slope. rise/run

we rise 4 and run 1

y+4/1x+b

Answer:

Step-by-step explanation:

y = mx+b

This is the equation for finding the slope-intercept form. Just plug in the numbers and you'll get your answer.

I know this doesn't give you the exact answer, but you have to figure things out on your own. It's good to get a little help, but not the direct answer.

Answer:

About 12.5%

cus 25% x 50 = 12.5%

50 is from the first marked down 50%, then u subtract it from 100%, making it another 50%.

Answer:

64.58

Step-by-step explanation:

1 meter is 3.28084 so 3 meters is 9.84252 because you multiply it by 3 or add them to each other 3 times. 2 meters is 6.56168 because you multiply it by 2 or add them to each other. now that you have 6.56168 and 9.84252 multiply them with each other and you get 64.5834666336 but it was said to round to nearest hundredth so since the 3 in front of the 8 is not a 5 and above the answer is 64.58 and not 64.89

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d)  Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

Evaluating the expressions given using appropriate illustrations, all the statements are True.

Statement 1 :

Real numbers ar both rational and irrational values and hence can be tweaked using arithmetic operators such as addition. Hence, the Statement is True

Statement 2 :

Real numbers can be expressed or raised to the power of another number such as being squared.

Statement 3 :

The squared Value of all positive integers is always greater than or equal the value.

Statement 4 :

The absolute value of a sum is always less than or equal to the sum of the absolute values two numbers

a = 3 ; b = - 4

|a + b | = |3-4| ≤ |-3|+|4|

|-1| ≤ 3 + 4

-1 ≤ 7

Therefore, all the statements are true.

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Answer:

.aabc=amn0#1211

Step-by-step explanation:

nosascoOsasco n=12.8