let ???? be the volume of a can of radius ???? and height ℎ and let ???? be its surface area (including the top and bottom). find ???? and ℎ that minimize ???? subject to the constraint ????

Ramya's mother was hired for a new job with a yearly income of $84,000. After considering deductions, her net monthly income can be calculated as follows.

To find Ramya's mother's net monthly income, we need to consider the deductions from her gross pay. The total deductions from her paycheck amount to 25% of her gross pay.

First, we calculate the total deductions by multiplying the gross pay by 0.25:

Total deductions = $84,000 * 0.25 = $21,000.

Next, we subtract the total deductions from the gross pay to find the net pay:

Net pay = Gross pay - Total deductions = $84,000 - $21,000 = $63,000.

To determine the net monthly income, we divide the net pay by the number of months in a year:

Net monthly income = $63,000 / 12 = $5,250.

Therefore, Ramya's mother's net monthly income is $5,250.

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For example, if there are 5 blue balls and 7 red balls. the ration of the blue balls with the red balls is

it can also be written as a fraction :

It is important to put the one that was mentioned first in the numerator. in this case is blue ball, that's why 5 came first. If we are asked what is the ratio of the red balls with the blue balls , then we will have to indicate 7 first. The ratio will have to be

The sequence is important.

Answer:

42

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 = 11 parts

Divide the sum by 11 to find the value of one part of the ratio.

77 ÷ 11 = 7 ← value of 1 part of the ratio , thus

6 parts = 6 × 7 = 42 ← larger number

Answer:

Step-by-step explanation:

\(\sf x^3-1\)

Let's rewrite 1 as 1 ^3.

\(\sf x^3-1^3\)

Now, we can apply the "Difference of Cubes Formula".

\(\boxed{\sf x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)}\)

_____________________

\({\small{\mathcal{\underline{\underline{\purple{ here \: is \: your \: solution...}}}}}} \\ \\ \)

\(\small\mathfrak\green{sin ( \alpha ) =Perpendicular \div hypotenuse \: \: } \\ \\ \small\mathfrak\green{perpendicular =7 \: } \\ \\ \small\mathfrak\green{hypotenuse =25 \: } \\ \\ \small\mathfrak\green{sin( \alpha ) = 7 \div 25}\)

\({\small{\underline{\bf{\red{ Hope \: it \: helps...}}}}}\)

Answer:

Math is the study of numbers, shapes and patterns

Step-by-step explanation:

I hope this helps you :)

Answer:

Mathematics is the study of numbers, shapes and patterns. The word comes from the Greek word "μάθημα" (máthema), meaning "science, knowledge, or learning", and is sometimes shortened to maths (in England, Australia, Ireland, and New Zealand) or math (in the United States and Canada). ... Numbers: how things can be counted.

Step-by-step explanation:

Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Answer:

your one answer will be 77. that is your x. now you have to find x+1. (77+1) Your 2 answers will be 155 when you add them together.

Step-by-step explanation:

Boom Logic...

The numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

The locker numbers are 77 and 78.

The numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

For example:

1, 2, 3, 4, 5, 6, and so on are consecutive numbers.

We have,

The sum of the consecutive numbers is 155

Let the numbers be x and x + 1

x + x + 1 = 155

2x + 1 = 155

2x = 155 - 1

2x = 154

x = 77

One number is 77.

The other number = x + 1 = 77 + 1 = 78

Thus the lockers numbers are 77 and 78.

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No, the number 52 is not a perfect square. Because the square root of 52 is an irrational number.

An irrational number is a real number that cannot be expressed as a ratio of two integers, or in other words, as a fraction. Irrational numbers include numbers such as pi (π), the square root of 2, and the square root of 3, which are not terminating or repeating decimals. They cannot be written as a finite decimal or a fraction of integers. Irrational numbers have an infinite number of decimal places, which means they cannot be represented exactly as a decimal.

They are also non-repeating and non-terminating decimals. Irrational numbers have many important properties and applications in mathematics, such as in geometry, where they are used to calculate the lengths of curves and the areas of circles. They also appear in trigonometry and calculus. Irrational numbers are also important in physics and engineering as well as other branches of science and technology. They are often used to express the precise measurements and calculations that are essential in these fields.vb

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Isaiah's thinking is correct. Compound interest does earn $341.95 more than simple interest in 60 months.

Let P be the principal amount of $7,000

Let r be the annual interest rate of 6%

Let n be the number of compounding periods per year.

Using formula for simple interest: I = Prt, the interest earned after 60 months is:

I = 7,000 × 0.06 × 5

I = $2,100.

Using formula for compound interest \(A = P(1 + r/n)^{nt}\). The amount after 60 months with monthly compounding is:

\(A = 7,000*(1 + 0.06/12)^{12*5}\\A = 7,000*1.34885015255\\A = 9441.95106785\\A = $9441.95\)

The interest earned is:

I = A - P

I = $9441.95 - $7,000

I = $2,441.95.

The difference in interest earned between compound and simple interest is:

= $2,441.95 - $2,100

= $341.95.

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An arithmetic sequence that has 14 terms and common difference d=3

The last term is x₁₄= 270

To calculate any nth term on an arithmetic sequence you have to do as follows

Where

xₙ is the nth term of the sequence

a is the first term

d is the common difference

(n-1) indicates that you are considering any value of the sequence except the first one

To determine the first term of the sequence you have to write the equation in terms of a

Replace the expression obtained with the information of the sequence

Diameter is 70m

Thus radius = half of diameter= 70/2 = 35meters

Angle of rotation (teta) = 280 degrees

The distance covered will be

The runner has traveled 171.06 meters

The average student headcount for the spring terms is: 10700

A graph is a non-linear kind of data structure made up of nodes or vertices and edges. The edges connect any two nodes in the graph, and the nodes are also known as vertices. This graph has a set of vertices V= { 1,2,3,4,5} and a set of edges E= { (1,2),(1,3),(2,3),(2,4),(2,5),(3,5),(4,50 }.

We have the information:

From the graph,

Number of headcounts for spring '0.2 - 0.3' = 10900

Number of headcounts for spring '0.3 - 0.4' = 10500

Number of headcounts for spring '0.4 - 0.5' = 10700

The average student headcount for the spring terms is:

= 1/3 (10900 + 10500 + 10700)

= 10700

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For complete question, to see the attachment.

Answer:

A long history with corrected blemishes exhibits that though mistakes were made, they were corrected which allows for those viewing your credit history to know that you've learned to fix mistakes making you trustworthy and experienced.

Step-by-step explanation:

edge 2022

A) The resulting hash table with separate chaining is as follows:

[0: (12, e) -> (9, e) -> (12, f)]

[1: (1, a) -> (4, b) -> (17, d) -> (4, g)]

[2: (2, c) -> (19, f) -> (8, c)]

B) The number of collisions that occurred is 4.

A) To construct the hash table using separate chaining with a table size of 10 and the hash function h(x) = (x + 3) % 3, we will insert the key-value pairs in the given order and handle collisions by appending new elements to the end of the linked list in each bucket.

1. (1, a):

  - Hash value: h(1) = (1 + 3) % 3 = 1

  - Insert (1, a) into bucket 1: [1: (1, a)]

2. (4, b):

  - Hash value: h(4) = (4 + 3) % 3 = 1

  - Collision occurs in bucket 1

  - Append (4, b) to the linked list in bucket 1: [1: (1, a) -> (4, b)]

3. (2, c):

  - Hash value: h(2) = (2 + 3) % 3 = 2

  - Insert (2, c) into bucket 2: [1: (1, a) -> (4, b)], [2: (2, c)]

4. (17, d):

  - Hash value: h(17) = (17 + 3) % 3 = 1

  - Collision occurs in bucket 1

  - Append (17, d) to the linked list in bucket 1: [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c)]

5. (12, e):

  - Hash value: h(12) = (12 + 3) % 3 = 0

  - Insert (12, e) into bucket 0: [0: (12, e)], [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c)]

6. (9, e):

  - Hash value: h(9) = (9 + 3) % 3 = 0

  - Collision occurs in bucket 0

  - Append (9, e) to the linked list in bucket 0: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c)]

7. (19, f):

  - Hash value: h(19) = (19 + 3) % 3 = 2

  - Insert (19, f) into bucket 2: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c) -> (19, f)]

8. (4, g):

  - Hash value: h(4) = (4 + 3) % 3 = 1

  - Collision occurs in bucket 1

  - Append (4, g) to the linked list in bucket 1: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d) -> (4, g)], [2: (2, c) -> (19, f)]

9. (8, c):

  - Hash value: h(8) = (8 + 3) % 3 = 2

  - Collision occurs in bucket 2

  - Append (8, c) to the linked list in bucket 2: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d) -> (4, g)], [2: (2, c) -> (19, f) -> (8, c)]

10. (12, f):

   - Hash value: h(12) = (12 + 3) % 3 = 0

   - Collision occurs in bucket 0

   - Append (12, f) to the linked list in bucket 0: [0: (12, e) -> (9, e) -> (12, f)], [1: (1, a) -> (4, b) -> (17, d) -> (4, g)], [2: (2, c) -> (19, f) -> (8, c)]

The resulting hash table with separate chaining is as follows:

[0: (12, e) -> (9, e) -> (12, f)]

[1: (1, a) -> (4, b) -> (17, d) -> (4, g)]

[2: (2, c) -> (19, f) -> (8, c)]

B) The number of collisions that occurred is 4.

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Answer:

4,6,8

Step-by-step explanation:

By using the properties of parallel lines, the result obtained is-

The correct options are first, second and fourth

What are parallel lines?

Two lines are said to be parallel if on extending them indefinitely, they will never intersect

Here,

From the figure,

For the first option,
m∠1=m∠5 [Corrosponding angles are equal]

First option is correct

For the second option,
m∠7=m∠11 [Corrosponding angles are equal]

Second option is correct

For the third option,
m∠5 ≠ m∠12 [ c is not parallel to b]

Third option is wrong

For the fourth option,
m∠4 = m∠5 [Alternate interior angle are equal]

Fourth option is correct

So the correct option are first, second and fourth

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Complete Question

The diagram has been attached

Answer: The answer is below

Step-by-step explanation:

Answer:

slope = -10

Step-by-step explanation:

Given: Triangle DEF GH||EF.DG:GE=5:3DE=32mm and DF=24mmWe need to find the length of DG, GE, DH and HF. Construction: Join DF, DG, GE, and GHLet ∠DEF = αThen, ∠DEG = α (Alternate angles)In ΔDGE, DG: GE = 5:3⇒ DG/GE = 5/3⇒ DG = (5/3)GE …(1)In ΔDFE, GH || EF⇒ GH/EF = DF/DE (Basic proportionality theorem)

⇒ GH/24 = (DE + EH)/DE [∵ DF = 24mm and DE + EH = GH]⇒ GH/24 = (32 + EH)/32 [∵ DE = 32mm]⇒ GH = 24(32 + EH)/32 = 3(32 + EH)/4 …(2)Now, in ΔDEG, using the Pythagorean theorem, we have

⇒ DG2 + GE2 = DE2⇒ [5/3 GE]2 + GE2 = 322

⇒ 34GE2 = 3 × 322⇒ GE2 = (3 × 322)/34 = 9 × 8 = 72

⇒ GE = 8.485mm [

Taking positive square root]Now, using equation (1), we have

⇒ DG = (5/3)GE = (5/3)8.485 = 14.141mm [approx.]

In ΔDHG, using the Pythagorean theorem, we have

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The correct answer is d) -5/13. The exact value of sin θ is -5/13. The square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

To find the value of sin θ, we need to determine the ratio of the y-coordinate (-10) to the length of the hypotenuse. To find the length of the hypotenuse, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

Given that the coordinates of the point are (-10, 24), we can calculate the length of the hypotenuse as follows:

hypotenuse = √((-10)^2 + 24^2) = √(100 + 576) = √676 = 26

Now we can determine sin θ by dividing the y-coordinate (-10) by the length of the hypotenuse (26):

sin θ = (-10) / 26 = -5/13

Therefore, the exact value of sin θ is -5/13.

So the correct answer is d) -5/13.

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Answer:

6/10 8/10 2/12 10/12

Step-by-step explanation:

stay 420 up yea yea

Answer:

x = -2

Step-by-step explanation:

3x - 1 × 3 = 5 × x + 1

3x - 3 = 5x + 1

3x - 5x = 1 + 3

-2x = 4

-2x/-2 = 4/-2

x = -2

Answer:

Step-by-step explanation:

The solution to the inequality expression is k ≥ 8.14

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

k over negative 3.7 is less than or equal to negative 2.2

Rewrite the expression properly

So, the inequality becomes

k/-3.7 ≤ - 2.2

Multiply both sides of the inequality expression by -3.7

So, we have the following representation

-3.7 * k/-3.7 ≤ - 2.2 * -3.7

Evaluate the products

This gives

k ≥ 8.14

The expression cannot be simplified further

Hence, the inequality expression given as k over negative 3.7 is less than or equal to negative 2.2 has a solution of k ≥ 8.14

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Answer:

Step-by-step explanation:

Kate should deposit $46,158.28 monthly into an account

In this question, we have been given the amount A = $50,000,

interest rate R = 1.6%

period t = 5 years

We need to find the principal amount (P)

First, convert R as a percent to decimal

r = 1.6/100

r = 0.016

Using the formula of compound interest for P,

P = A / (1 + r/n)nt

P = 50,000.00 / (1 + 0.016/12)(12)(5)

P = $46,158.28

Therefore, Kate should deposit $46,158.28

Answer:

Step-by-step explanation:

not 1000% sure but its what i got

Answer:

Step-by-step explanation: answer : 64%

explanaition 41-25/25

= 16/25 x 100=64%

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

17

Step-by-step explanation:

a. The value of the swap to firm XYZ is -$23,225.33.

b. This would help to protect the firm against an increase in interest rates.

a. Calculation of the value of the swap to firm XYZ

The value of the swap to firm XYZ can be calculated using the following formula:

Value of Swap = Value of Fixed Leg - Value of Floating Leg

Where Value of Fixed Leg = VFL = (Coupon Rate * Principal * (1 - (1 + r)-n / r))

Value of Floating Leg = VFL = (Interest Rate * Principal * (1 - (1 + r)-n / r))

Where, Coupon Rate = 4% p.a. Principal = $20 million

Interest Rate = LIBOR + Spread, Spread = 0, therefore,

Interest Rate = 4.5% p.a.

Time to Maturity, n = 15 months

Remaining Time to Next Payment = 6 - 2 = 4 months

Therefore, the current six-month LIBOR rate is required to calculate the value of the swap as follows:

Current six-month LIBOR rate = 4.5% * (4/6) + x% * (2/6)x = ((Value of Swap/Principal + (1 - (1 + r)-n / r)) * r) / (1 - (1 + r)-n / r) = 0.0251%

Value of Fixed Leg = VFL = (0.04 * 20,000,000 * (1 - (1 + 0.05/2)-30 / (0.05/2))) = $1,328,816.76

Value of Floating Leg = VFL = (0.0451 * 20,000,000 * (1 - (1 + 0.05/2)-10 / (0.05/2))) = $1,352,042.09

Value of Swap = $1,328,816.76 - $1,352,042.09 = -$23,225.33

Therefore, the value of the swap to firm XYZ is -$23,225.33.

b. Suggest a reason why XYZ entered into the swap in the first place

Firm XYZ might have entered into the swap in the first place to mitigate the risk of a rise in interest rates in the future. By entering into a fixed-for-floating interest rate swap, the firm has fixed its borrowing cost for the duration of the swap at 4%, regardless of the future interest rate changes.

Therefore, this would help to protect the firm against an increase in interest rates.

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Answer:

Step-by-step explanation:

You'll need to answer these for yourself. These are not math problems. They are about you alone.