b) Change 84 cm into millimetres.

Answer:

hey

Step-by-step explanation:

A) $15,025.8. is the correct option. Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly. She stand to get $15,025.8. if er loans are repaid after three years.

Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly.

We need to find how much she stands to gain if er loans are repaid after three years.

Calculation: Semi-annual compounding = Quarterly compounding * 4 Quarterly interest rate = 4% / 4 = 1%

Number of quarters in three years = 3 years × 4 quarters/year = 12 quarters

Future value of $1,000 at 1% interest compounded quarterly after 12 quarters:

FV = PV(1 + r/m)^(mt) Where PV = 1000, r = 1%, m = 4 and t = 12 quartersFV = 1000(1 + 0.01/4)^(4×12)FV = $1,153.19

Total amount loaned out in 12 quarters = 12 × $1,000 = $12,000

Total interest earned = $1,153.19 - $12,000 = $-10,846.81

Therefore, Chloe stands to lose $10,846.81 if all her loans are repaid after three years.

Hence, the correct option is A) $15,025.8.

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The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

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The clothing of William Penn and the other colonists in the painting accurately represents the fashion and style of clothing during the historical period of 1682. This attention to detail adds authenticity to the artwork and aligns with the historical context of the scene being depicted.

Based on the given information, the clothing of William Penn and the other colonists in the painting is historically accurate for the 1682 scene being depicted. This means that the artist has depicted the attire of the settlers in a way that aligns with the fashion and style of clothing during that time period.

In 1682, when William Penn founded the colony of Pennsylvania, the clothing worn by European settlers was influenced by the prevailing fashion trends in England and other European countries. Men typically wore garments such as breeches, waistcoats, and coats, while women wore dresses with corsets and petticoats. The clothing was often made of natural fabrics such as wool, linen, and silk.

By accurately representing the clothing of William Penn and the other colonists in the painting, the artist provides a visual representation that is consistent with the historical context of the 1682 scene. This attention to detail adds authenticity to the artwork and helps viewers to better understand and appreciate the historical setting being depicted.

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Step-by-step explanation:

Change into improper fraction

-23/3+(-11/2)+35/4

Open the bracket

-23/3-11/2+35/4

Using BODMAS

-23/3-57/4

Find the LCM

-92-171/12

-263/12

-21*11/12

It will cost $375 to hire the doctor for 45 minutes

The doctor charges $500 for an hour

60 minutes makes 1 hour

60 minutes= $500

Therefore the amount that will be charged for 45 minutes can be calculated as follows

60 minutes= $500

45 minutes= x

Cross multiply both sides

60x= 500×45

60x= 22500

x= 22500/60

x= 375

Hence it will cost $375 to hire the doctor for 45 minutes

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1. The monthly payment of the 5-year loan is approximately $2,225.77.

2. The equivalent uniform annual cost for the tractor is approximately $5,572.50.

1. To calculate the monthly payment of a loan, we can use the formula for an amortizing loan. The formula is:

PMT = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

PMT = Monthly payment

P = Principal amount (loan amount)

r = Monthly interest rate (annual interest rate divided by 12)

n = Total number of payments (number of years multiplied by 12)

In this case, the principal amount (P) is $100,000, the annual interest rate is 12%, and the loan duration is 5 years.

r = 12% / 12 = 1% per month

n = 5 years * 12 months/year = 60 months

PMT = 100,000 * (0.01 * (1 + 0.01)^60) / ((1 + 0.01)^60 - 1)

PMT ≈ $2,225.77

Therefore, the monthly payment of the 5-year loan is approximately $2,225.77.

2. To calculate the equivalent uniform annual cost, we need to consider the initial cost of the tractor, salvage value, maintenance costs, and the interest rate.

The equivalent uniform annual cost (EUAC) can be calculated using the formula:

EUAC = (Initial cost - Salvage value) + (Annual maintenance cost * Present worth factor)

The present worth factor can be calculated using the formula:

Present worth factor = (1 - (1 + r)^-n) / r

Where:

r = Interest rate (10%)

n = Number of years (10 years)

EUAC = ($7,500 - $5,000) + ($500 * ((1 - (1 + 0.10)^-10) / 0.10))

EUAC = $2,500 + ($500 * ((1 - 0.3855) / 0.10))

EUAC ≈ $2,500 + ($500 * 6.145)

EUAC ≈ $2,500 + $3,072.50

EUAC ≈ $5,572.50

Therefore, the equivalent uniform annual cost for the tractor is approximately $5,572.50.

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Answer:

275 non spectators

Step-by-step explanation:

1. Subtract

42,500 - 31,750 - 10,475 =

275

2. Get answer

275 non-spectators

Answer:

377.61 Euros

Step-by-step explanation:

Answer:

322.99 in Euros

Step-by-step explanation:

The area of the square garden is 100 in². Option C is the correct option.

What is the area of an object?

The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. Draw a square on a piece of paper with a pencil. It is a two-dimensional figure. The area of the shape on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.

Given that the scale of the drawing is 2 inches = 5 feet.

The length of the garden is 25 feet.

Now find the side of the garden in inches by using the scale factor.

5 feet =  2 inches

1 feet =  2/5 inches

25 feet =  (2/5) × 25 inches

25 feet =  10 inches

In the map, the length of the side of the garden is 10 inches.

The area of a square is side × side.

The area of the garden is 10×10 in² = 100 in²

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The probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053.

We can use the concept of combinations.

The total number of ways to choose 4 elk out of 24 is given by the combination formula:

C(24, 4) = 24! / (4!(24-4)!) = 10,626

Now, we need to consider the number of ways to choose 3 tagged elk out of the 8 tagged elk and 1 untagged elk. The number of ways to do this is given by:

C(8, 3) * C(1, 1) = 8! / (3!(8-3)!) * 1! / (1!(1-1)!) = 56

Therefore, the probability that 3 out of the 4 captured elk have been tagged is:

P = (Number of ways to choose 3 tagged elk out of 8 tagged elk and 1 untagged elk) / (Total number of ways to choose 4 elk out of 24)

P = 56 / 10,626

Calculating this division gives us the probability:

P ≈ 0.0053

So, the probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053 .

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Anderson could provide 0.5x2 + 4x + 8 = 0 has exactly one real root if the discriminant is 0,

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.

A polynomial's discriminant is a quantity that depends on the coefficients and enables for some root attributes to be inferred without actually computing them. It is actually a polynomial function of the original polynomial's coefficients.

0.5x^2 + 4x + 8 = 0

The discriminant is computed utilizing:

d = b^2 - 4ac

Thus, we have:

d = 4^2 - 4 * 0.5 * 8

Evaluate

d = 0

The equation has only one real root since the discriminant is 0,

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To calculate the interest owed after 93 days, we use the formula for simple interest: Interest = Principal x Rate x Time. Substituting the given values, the interest amounts to $624.49.

This is the total interest that Melissa will owe to the bank after 93 days.Melissa took out a loan of $15,400 from a bank for home renovations. The bank charges a simple interest rate of 16% per year If Melissa doesn't make any payments towards the loan, the total amount owed after 93 days is obtained by adding the principal and the interest together.

Therefore, the total amount owed would be $16,024.49. This means that if Melissa does not make any payments during the 93-day period, her loan balance will increase to approximately $16,024.49, including both the original principal amount and the accrued interest.

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Answer:

78

Step-by-step explanation:

You add 115 and 167 which will give you 282.

Subtract 282 from 360, which will equal 78.

Answer:

Euler's formula, Either of two important mathematical theorems of Leonhard Euler. ... It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges. A cube, for example, has 6 faces, 8 vertices, and 12 edges, and satisfies this formula.

Answer:

e^{ix}=\cos x+i\sin x

e = base of the natural logarithm

i = imaginary unit

x = the angle in radians

Step-by-step explanation:

The IQR measures the spread of the middle 50% of the data.

Without knowing the actual values of the fuel economy ratings or the summary statistics, we cannot provide an exact answer. However, we can make some general observations about the effects of removing an extreme outlier on the standard deviation and the interquartile range (IQR).

First, the standard deviation measures the spread of the data around the mean. Removing an extreme outlier that is far from the mean could potentially decrease the standard deviation, as the remaining values may be more tightly clustered around the mean. However, the effect on the standard deviation will depend on the exact values of the data points and how much they vary from the mean.

Second, the IQR measures the spread of the middle 50% of the data. Removing an extreme outlier that is far from the bulk of the data may not have a significant effect on the IQR, as the remaining.

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Answer:

see below

Step-by-step explanation:

1. a = 18, 2. n = -19, 3. x = -17, 4. v = -6, 5. a = 9, 6. x = -2, 7. k = -4,  8. m = -19

9. n = 3, 10.  a = -7, 11. n = -5, 12. n = -6, 13. x = -1/3, 14. m = 2/3 15. m = -9.8

16. n = 7.9, 17. x = 0, 18. b = 2, 19. v = -8, 20. b = -4, 21. n = 3, 22. p = 3.3

The formula for calculating the magnitude of a vector a is expressed as

a) For vector u, from the graph,

x1 = - 1, y1 = 2

x2 = 4, y2 = 6

b) For vector v,

x1 = 0, y1 = 0

x2 = 5, y2 = 4

Thus, u = v because they have the same magnitude and direction

The value of the number is -8

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

5 less than three fourths of a number is one forth of number decreased

by 9

Represent the number with x

So, we have the following equation

3/4x - 5 = 1/4x - 9

Evaluate the like terms

2/4x = -4

This gives

1/2x = -4

Solve for x

x = -8

Hence, the number is -8

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Given:

Given the expression

Required: An equivalent expression

Explanation:

Use the formula

Dividing by 2 on both sides gives

Option D is correct.

Final Answer: An equivalent expression of

is

Answer:

the answer is equal to 10x+15y

This system of equations has been solved graphically and its solution is equal to the ordered pair (-1.29, -0.57).

In Mathematics, a point of intersection is the location on a graph where two (2) lines intersect, or cross each other, which is typically represented as an ordered pair containing the point that corresponds to the x-axis and y-axis on a cartesian coordinate.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection of the lines on the graph;

y = 2x + 2     ........equation 1.

y = -1/3x - 1       ........equation 2.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (-1.29, -0.57).

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The solution to the system of equations is

A system of equations is a pair of two linear equations

Given the system of equations

y = -x/3 - 1 and

y = 2x + 2

We proceed to solve the system of equations as follows.

Since we have the equations

y = -x/3 - 1 and

y = 2x + 2

Eqating both expressions, we have that

-x/3 - 1 = 2x + 2

adding 1 from both sides, we have

-x/3 - 1 + 1 = 2x + 2 + 1

-x/3 + 0 = 2x + 3

-x/3 = 2x + 3

Subtracting 2x from both sides, we have that

-x/3 - 2x = 2x - 2x + 3

(-x - 6x)/3 = 0 + 3

-7x/3 = 3

Multiplying both sides by 3, we have

-7x = 3 × 3

-7x = 9

Dividing both sides by -7, we have

x = 9/-7

x = -9/7

Substituting x = -9/7 into y = 2x + 2, we have that

y = 2x + 2

y = 2(-9/7) + 2

= -18/7 + 2

= (-18 + 14)/7

= -4/7

So,

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The correct statements are: f may be surjective and f cannot be injective.

1. f may be surjective:

A function is surjective (or onto) if every element in B has a corresponding element in A. It is possible for f to be surjective if multiple elements in A map to the same element in B.

2. f cannot be injective:

A function is injective (or one-to-one) if every element in A maps to a unique element in B. Since |A| > |B|, there must be at least one element in B that has more than one corresponding element in A, so f cannot be injective.

3. f may be injective:

This option is incorrect, as I explained in the previous point.

4. f cannot be surjective:

This option is incorrect, as f may be surjective, as I explained in the first point.

5. f must be surjective:

This option is incorrect, as it depends on how the elements in A map to those in B. It is possible but not guaranteed.

6. f may be injective:

This option is incorrect, as I explained in the second point.

So, the correct statements are: f may be surjective and f cannot be injective.

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Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).

In the given question,

A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.

We have to find a 95% confidence interval for p.

From the question, x=302, n=525

So estimation point,

P=x/n

P=302/525

P=0.575

Now the z value of 95% confidence interval is 1.960 using the standard z table.

Margin of Error (E)=z×√{P(1−P)}/n

Now putting the value

E=1.960×√{0.575(1−0.575)}/525

E=1.960×√(0.575×0.425)/525

E=1.960×√0.244/525

E=1.960×√0.000465

E=1.960×0.0216

E=0.0423

At 95% confidence interval for p is

P−E ≤ p ≤ P+E

Now putting the value

0.575−0.0423≤ p ≤0.575+0.0423

0.5327≤ p ≤0.6173

Hence, a 95% confidence interval for p is (0.5327,0.6173).

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The maximum value of g is,

⇒ (- 3, 1)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The graph of quadratic function g is shown on the grid. the coordinates of the x-intercepts, the y-intercept, and the vertex are integers.

Now, The maximum value of g is the vertex of the parabola.

Hence, by graph;

The maximum value of g is,

⇒ (- 3, 1)

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Answer:

14, 15, 16

Step-by-step explanation:

n + n+1  + n + 2 = 45

3n + 3 = 45

3n = 42

n = 14

14, 15, 16

you would equal them both to each other to find the answer of x=32

Answer:

x=32

Step-by-step explanation:

The explanation is in the picture. Whenever you want to check your answer plug that number in.

There are 4,960 different combinations of pennies, nickels, dimes, and quarters that a piggy bank can contain if it has 29 coins in it.

Let x be the number of pennies, y be the number of nickels, z be the number of dimes, and w be the number of quarters in the piggy bank.

Then we have:

x + y + z + w = 29

where x, y, z, and w are non-negative integers.

This is a classic "balls and urns" problem, and the number of solutions is given by the formula:

C(n + k - 1, k - 1)

where n is the number of balls (29) and k is the number of urns (4).

Applying this formula, we get:

C(29 + 4 - 1, 4 - 1) = C(32, 3) = 4960

Therefore, there are 4,960 different combinations of pennies, nickels, dimes, and quarters that a piggy bank can contain if it has 29 coins in it.

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Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

x=29

Step-by-step explanation:

(11×29)=319-65=254 Hopefully this helps