HELPPPPPPPPPPPPPPPPPPPP​

Total cost of items Mark bought = $8.80

The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given,

Price of the items, $3.25, $0.55, $2.95, and $4.25 before tax.

Total price = $11

Discount on items = 20%

Discount = (20/100)11 = $2.20

Cost of the items = $11 - $2.20 = $8.80

Hence, $8.80 is total cost of items Mark bought.

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The total interest charger after 25 years for the balloon mortgage would be = $421, 875

Simple interest is the additional sum of money that is paid to a person after a sum of money was invested for a specific amount of time.

Given:

The principal= 375,000

The time for the mortgage = 25 years

The rate = 4.5%

The formula for simple interest

= P×T×R/100

= 375,000×4.5×25/100

= 42187500/100

= $421, 875

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The volume of water in the well is 6 x 4 x 10 = 240 ft3. Since water is running into the well at the rate of 3 ft3 per minute, the water is rising at the rate of 3/240 ft per minute or 1/80 ft per minute.

The volume of water in the well is 6 x 4 x 10 = 240 ft3. Since water is running into the well at the rate of 3 ft3 per minute, the water is rising at the rate of 3/240 ft per minute or 1/80 ft per minute.

To calculate this, we can use the following formula:

Rate of Water Rising = Volume of Water Added Per Minute / Total Volume of Well

Rate of Water Rising = 3 ft3/min / 240 ft3

Rate of Water Rising = 1/80 ft per minute

Therefore, The volume of water in the well is 6 x 4 x 10 = 240 ft3. Since water is running into the well at the rate of 3 ft3 per minute, the water is rising at the rate of 3/240 ft per minute or 1/80 ft per minute.

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Answer:

y = [tex]\frac{-3}{2}[/tex] x + 4

Step-by-step explanation:

3x + 2y = 8  Subtract 3x from both sides

3x - 3x + 2y = -3x + 8  

2y = -3x + 8  Divide all the way through by 2

y = [tex]\frac{-3}{2}[/tex] x + 4

The measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

Scale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.

The dilation if the triangle ABC implies it is bigger than the triangle A'B'C' with a scale factor 1/2 since AC = 10 and A'C' = 5

side A'B' = 8 × 1/2

side A'B' = 4

Therefore, the measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

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Answer:

the answer is B, 4. :)

Answer:

10 hours would've gone by, and they have collected 190 signatures.

Step-by-step explanation:

Overall fraction of sold seats is 0.63333...

First we use the fact that 2/3 of the seats are located on the main floor and the number of seats on the main floor is 600, so the total number of seats can be calculated as follows:

Total number of seats = 600 / (2/3) = 900 seats

Next, we can find the number of seats in the balcony:

Balcony seats = Total number of seats - Main floor seats = 900 - 600 = 300 seats

Next, we can find the number of sold floor seats:

Sold floor seats = 4/5 * 600 = 480 seats

And the number of sold balcony seats:

Sold balcony seats = 1/2 * 300 = 150 seats

Finally, to find the overall fraction of sold seats in the theater, we add the number of sold floor seats and the number of sold balcony seats and divide by the total number of seats:

Overall fraction of sold seats = (480 + 150) / 900 = 0.63333... (rounded to the nearest hundredth)

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Vοlume οf the cylinder in will be 226.28 yd³, Vοlume οf Slanted cylinder is 141.37 in³ and Vοlume οf οblique cubοid is 1224 cm³.

What exactly is a cylinder?

In geοmetry, a cylinder is οne οf the fundamental 3d fοrms with twο parallel circular bases at a distance. The curving surface cοnnects the twο circular bases at a predetermined distance frοm the centre. The axis οf the cylinder is the line cοnnecting the centres οf twο circular bases. The height οf the cylinder is the distance between the twο circular bases.

A. Nοw,given that diameter οf base = 6 yd then radius=6/2=3 yd

and height will be =√10²-6²  (By Pythagοras theοrem )

= √64

= 8 yd

then vοlume οf cylinder is=πr²h

= 22/7*3*3*8

= 1584/7

= 226.28 yd³

Hence, Vοlume οf the cylinder  will be 226.28 yd³.

B. Vοlume οf Slanted cylinder is V = πr²h

V = π3²5

V = π × 3 × 3 ×5

V = 141.37 in³

Hence, Vοlume οf Slanted cylinder is 141.37 in³

C. Vοlume οf οblique cubοid is V = lwh

V = 17 × 18 × 4

V = 1224 cm³

Therefore ,Vοlume οf οblique cubοid is 1224 cm³.

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On solving the provided question, we can say that the equation we have here is[tex]X_(n+1)= (x-n)^{3} - \frac{2}{10}[/tex] at [tex]x_1 = -1[/tex] n = 0 , [tex]x_1 = \frac{-3}{10}[/tex]

Two assertions in a mathematical equation are joined by the equal sign (=), which stands for equality.

A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14.

The connection between the two sentences on either side of a letter is explained by a mathematical formula. Typically, there is only one variable, which also serves as the symbol.

A simple equation is a mathematical formula that, on both sides of the "equal to" sign, expresses the relationship between two expressions. Equations in this category include a variable, which is typically expressed as x or y. Simple equations often need to be rearranged in order to be solved.

the equation we have here is

[tex]X_(n+1)= (x-n)^{3} - \frac{2}{10}[/tex] , at [tex]x_1 = -1[/tex]

n = 0

[tex]x_1 = \frac{-3}{10}[/tex]

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If x represents time in seconds and y represents distance in meters then the system of equations to represent the above situation are

20x - y = 0 and 22x - y = 15

Let x represent time in seconds and y represents distance in meters.

Let u be the speed of Elena and v be the speed of Jada.

So, according to question,

              u = 20[tex]ms^{-1}[/tex] and v = 22[tex]ms^{-1}[/tex]

We know, Speed = [tex]\frac{Distance}{Time}[/tex]

So, 20 = [tex]\frac{y}{x}[/tex]

which implies 20x = y

                        20x - y = 0 ......................(1)

Similarly,

          22 = [tex]\frac{y + 15}{x}[/tex]

Which implies 22x = y + 15

                       22x - 15 = y.....................(2)

Substituting the value of y from equation (2) in (1)

                    20x - (22x - 15) = 0

                     20x - 22x + 15 = 0

                      15 - 2x = 0

                      2x = 15

                       x = 7.5

Substituting the value of x in equation (1)

                20 x - y = 0

                20 × 7.5 = y

                  y = 150

The values of x and y satisfies the stated conditions,

Hence, the system of equations to represent the above situation are

20x - y = 0 and 22x - y = 15

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The simplified forms of the fractions are 3 and -5 repectively

To simplify a fraction, you divide both the numerator (top number) and denominator (bottom number) by their greatest common factor (GCF) until there are no more common factors. The result will be the simplified form of the fraction.

We have to note that;

1 ) 1 + 1/2 = 3/2

Then we have;

3/2 * 2/1 = 6/2 = 3

2) 3/4 - 2 = -5/4

Then we have;

-5/4 * 4/1 = -5

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Answer: To find the dimensions of the rug, we need to subtract the width of the floor strip from both the length and the width of the room. Let x be the width of the floor strip in feet. Then the dimensions of the rug will be 18-2x by 26-2x.

The area of the rug is given by:

(18-2x)(26-2x) = 180

Expanding the right-hand side gives:

468 - 72x + 4x^2 = 180

Rearranging the equation gives:

4x^2 - 72x + 288 = 0

We can use the quadratic formula to find the solutions for x:

x = (-b ± √(b^2-4ac)) / 2a

where a = 4, b = -72, and c = 288

x = (72 ± √(72^2 - 4(4)(288))) / 2(4)

x = (72 ± √(72^2 - 4(1152))) / 8

x = (72 ± √(72^2 - 4608)) / 8

x = (72 ± √(5184)) / 8

x = (72 ± 72) / 8

x = (144 ± 72) / 8

x = 72 / 8 or 0

Since the width of the floor strip cannot be negative, x = 9 feet. So, the dimensions of the rug should be 18 - 2 * 9 = 0 ft by 26 - 2 * 9 = 8 ft.

Step-by-step explanation:

The values of x are 18 and 4

We have the area of a rectangle

A = L* B

The l and the b would get increased by 2x

180 = (18 - 2x) (26 - 2x)

We have to open the bracket

468 - 36x - 52x + 4x² = 180

468 - 180 - 88x +  4x² = 0

rearrange the equation

4x² - 88x  + 288 = 0

Solve using the quadratic formula equation

This would give us x = 144 / 8 and 32 / 8

x = 18 and x = 4

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Answer:

Step-by-step explanation:

The formula for kinetic energy is:

KE = (1/2) * m * v^2

where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

We are given the mass of the pick-up truck as 1500 kg and its velocity as 31.0 m/sec. We can plug these values into the formula to calculate its kinetic energy:

KE = (1/2) * m * v^2

= (1/2) * 1500 kg * (31.0 m/sec)^2

= (1/2) * 1500 kg * 961.0 m^2/sec^2

= 720750 J

Therefore, the kinetic energy of the pick-up truck is 720750 Joules.

r

Step-by-step explanation:

v

Answer: -5/3

Step-by-step explanation:

E. This polynomial could be factored by using grouping or the perfect squares methods.

From the question, we have the following parameters that can be used in our computation:

x^2 + 2x + 1

Expand

x^2 + x + x + 1

Factorize the expression

(x + 1)(x + 1)

This gives

(x + 1)^2

Hence, the solution is (e)

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Answer:

b. It was ​$15,280. Calculate the amount deposited over 9 years and then subtract it from the balance of ​$19,600.

Step-by-step explanation:

19,600-4,320 gives you the interest

Answer:

B. It was ​$15,280.

Step-by-step explanation:

Calculate the total amount deposited:

$40 per month * 12 months per year * 9 years = $4,320

Subtract the total amount deposited from the final balance: $19,600 - $4,320 = $15,280

The result is the interest earned: $15,280.

So, the answer is B. It was $15,280.

The equation that represents the number of books purchased will; be 6b - 8 = 58 and the number of books is 11.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Ashley bought some books. She spent a total of $58 after a discount of $8 off of her total purchase. Each book cost $6.  

Let 'b' be the number of books. Then the equation is given as,

6b - 8 = 58

Simplify the equation, then we have

6b - 8 = 58

6b = 66

b = 11

The equation that represents the number of books purchased will; be 6b - 8 = 58 and the number of books is 11.

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The complete question is given below.

Ashley bought some books. She spent a total of $58 after a discount of $8 off of her total purchase. Each book cost $6. How many books did she buy?

Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 58, 8, and 6. Let b represent the number of books. and then solve the equation.

The surface area of a cylinder with a base diameter of 4 yd and a height of 9 yd is 113.04 yd².

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

We know, The surface area of a cylinder is 2πrh, where 'h' is the height and 'r' is the diameter.

So, The radius is = (4/2) = 2 yd.

Therefore, The surface area of the cylinder is.

= 2π×2×9 yd².

= 36π yd².

= 113.04 yd².

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Answer:

Are these two different equations? Tell me so I can help you.

The value of A is 128

Solution:-

Given,

A = (C/100)* B

C = 80

B = 160

So, A = (80/100)* 160

Therefore, The value of A from the above expression is 128

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From the inequalities y < (1/2)x - 7 and y ≥ -x - 1 graphed, a possible solution is the point (30, 2)

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Inequalities are used to show the non equal comparison of two or more numbers and variables.

Given the inequalities:

y < (1/2)x - 7         (1)

And:

y ≥ -x - 1         (2)

From the inequalities graphed, a possible solution is the point (30, 2) which is shown in the darker region

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The probability of getting exactly 0 tails is 1/8 or 0.125.

The coin flip experiment involves three independent events, each representing the outcome of one coin flip. Since each coin flip is balanced, the outcome of each event can either be heads (H) or tails (T). Therefore, for each event, there are two possible outcomes.

Since each event is independent, the number of possible outcomes of three events is equal to the product of the number of possible outcomes of each individual event. This means that the number of possible outcomes of three coin flips is equal to 2 * 2 * 2 = 8. The possible outcomes of three coin flips can be listed as follows:

HHH

HHT

HTH

THH

THT

TTH

HTT

TTT

Out of these eight possible outcomes, only one outcome (HHH) results in getting exactly 0 tails. So the probability of getting exactly 0 tails is 1/8 or 0.125.

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Answer:

see explanation

Step-by-step explanation:

(6)

given f(x) then - f(x) represents a reflection in the x- axis

given f(x) then f(x) + c represents a vertical translation of f(x)

• if c > 0 then a shift up of c units

• if c < 0 then a shift down of c units

thus g(x) = - | x | + 2

is a reflection over the x- axis and vertical shift up of 2 units

(7)

f(2) means value of f(x) when x = 2

x = 2 is in the interval x ≥ 2 with f(x) = [tex]\sqrt{x-2}[/tex] , then

f(2) = [tex]\sqrt{2-2}[/tex] = [tex]\sqrt{0}[/tex] = 0

Answer:

Below

Step-by-step explanation:

BAC = DAC                             angle bisector theorem

AC = AC                  

BCA=BCA                             given

ABC congruent  to ADC           ASA theorem

BA = AD                                triangle congruence theorem

AC = AC                                      "

BC = DC                                      "

Answer:

Let's first calculate the amount of interest that would be earned if the interest were compounded annually. The formula for the future value of a single sum is:

F = P * (1 + r/n)^(nt)

Where:

F is the future value

P is the principal (the initial deposit)

r is the annual interest rate

n is the number of compounding periods per year

t is the number of years

For our calculation, we have:

P = $10,000

r = 1.8% = 0.018

n = 1 (annual compounding)

t = 30

So, the future value of the account with annual compounding is:

F = $10,000 * (1 + 0.018/1)^(1 * 30) = $10,000 * (1.018)^30 = $21,784.08

Now, let's calculate the amount of interest that would be earned if the interest were compounded monthly. The formula for the future value of a single sum is the same, but we need to use the monthly compounding rate (r/12) instead of the annual rate and the number of months (12t) instead of the number of years:

F = P * (1 + r/n)^(nt)

Where:

F is the future value

P is the principal (the initial deposit)

r is the annual interest rate

n is the number of compounding periods per year

t is the number of years

For our calculation, we have:

P = $10,000

r = 1.8% = 0.018

n = 12 (monthly compounding)

t = 30

So, the future value of the account with monthly compounding is:

F = $10,000 * (1 + 0.018/12)^(12 * 30) = $10,000 * (1.0015)^360 = $22,254.51

The difference in the two future values is $22,254.51 - $21,784.08 = $470.43.

So, the account would be worth $470.43 more if interest were compounded monthly rather than annually over a period of 30 years. Round to the nearest dollar, the answer is $470.

Step-by-step explanation:

The correct time when the clocks next agree is 13:00 on clock A and 11:00 on clock B, which occurs 12 hours after 13:00.

Call the clock that runs forward A and the clock that runs backward B. Clock A will display the time as 13:00 at that moment, but clock B (which is going backward from 13:00) will display the time as 11:00.

Clock A will move two hours on its display in one hour since it is operating at twice the typical speed. Clock A will display 15:00 an hour from now, at 14:00. Additionally, because clock B is going backward, its display will read 10:00 an hour from now.

The clocks will next sync up when Clock A displays 13:00 (its initial beginning time) and Clock B displays 11:00, which takes place after 12 hours (12 hours on clock A, 24 hours on clock B).

So the correct time when the clocks next agree is 13:00 on clock A and 11:00 on clock B, which occurs 12 hours after 13:00.

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Answer:

[tex] {x}^{4} - 2x + 8 \div x[/tex]

a. an exponential function where x is the number of 5700 year periods and y is the amount of carbon-14 is: y = a (b)^(x/h)

b.  the amount of carbon-14 after 11,400 years is 0.25 mg

The amount of time needed for a procedure to affect half of anything, such as the amount of time needed for a radioactive substance's atoms to split in half. The half-life of a radioactive sample is the amount of time needed for half of its atomic nuclei to spontaneously decay, which releases energy and particles, or, alternatively, the amount of time needed for the radioactive sample to disintegrate 60 times every second.

a.

y = a (b)^(x/h)

here, y = amount of carbon-14

a = initial amount

b = final amount

x = time elapsed

h = half life

b. we know that half of it will change into another form in 5700 years, Therefore, if start with 0.5 mg, that would be half in 5,700 years, or 0.25 mg in 11,400 years, which is another half life.

Thus, the amount of carbon-14 after 11,400 years is 0.25 mg

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Answer:

Step-by-step explanation:

so the height will be h.

if given the base length, find h using tangent.

tan55 = h/10ft

h = 10tan55

h = 14.28ft