Manish borrowed some amount from a bank at the rate of 4% per
annum compounding yearly. He lent the whole amount to Anish
at 6% per annum compound interest compounded half yearly. If
at the end of the year Manish gained Rs. 104.50, find the amount
that he borrowed from the bank.
(Ans: Rs. 5000)
20

The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%

We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%

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An equivalent expression with fewer terms than 3x - 4 - (5x + 7) is - 2x - 11.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

3x - 4 - (5x + 7)

Expanding the brackets we get,

3x - 4 - (5x + 7) = 3x - 4 - 5x - 7

Taking alike terms together we get,

3x - 4 - (5x + 7) = 3x - 5x - 4 - 7

Solving we get,

3x - 4 - (5x + 7) = - 2x - 11

These are equivalent expression.

Thus, an equivalent expression with fewer terms than 3x - 4 - (5x + 7) is - 2x - 11.

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The length f the diagonal of the square is

The marked points represents the diagonal hence we find the distance between the points

The distance between them is calculated using the following formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Using the points (3, 5) and (12, 14), we can substitute the values into the formula and calculate the length of the line segment:

d = √((12 - 3)² + (14 - 5)²)

= √(9² + 9²)

= √(81 + 81)

= √162

≈ 12.73

Therefore, the length of the line segment between (3, 5) and (12, 14) is approximately 12.73 units.

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Answer:

im pretty sure the top one

Step-by-step explanation:

The growth rate function indicates that the number of years The Iron Man's net worth will reach the net worth of T'Challa is about 87 years

The growth rate is the rate of growth of a function with regards to the input variable.

T'Challa's net worth in the Marvel comics = 80 trillion (8 × 10¹³) Dollars

The Iron Man's net worth = 20 billion (2 × 10¹⁰) Dollars

The growth rate per annum of The Iron Man's net worth = 10% per annum

The number of years it will take to reach T'Challa can therefore, be found as follows;;

(2 × 10¹⁰) × (1 + 0.1)ˣ = (8 × 10¹³)

(1 + 0.1)ˣ = (8 × 10¹³)/(2 × 10¹⁰)

x·ln(1 + 0.1) = ln((8 × 10¹³)/(2 × 10¹⁰))

x = (ln((8 × 10¹³)/(2 × 10¹⁰)))/(ln(1 + 0.1)) ≈ 87 years

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We have that the cube has a volume of 512 ft^3.Then,

volume of cube = edge cubed

v = a³

512m³ = a³

∛512m³ = ∛a³

8m = to

Answer: The length of each side is 8 feet ✔ .

To find a 3x3 matrix using the determinant method, you need to follow these steps:

Write down the matrix:

a11  a12  a13

a21  a22  a23

a31  a32  a33

Write out the three 2x2 matrices that you will need to calculate the determinant.

| a22  a23 |

| a32  a33 |

| a21  a23 |

| a31  a33 |

| a21  a22 |

| a31  a32 |

Multiply each element in the first row by the determinant of the 2x2 matrix that is not in its row or column.

For example, for the first element in the first row, you would multiply a11 by the determinant of the 2x2 matrix in the second and third rows and columns, which is:

| a22  a23 |

| a32  a33 |

So, the first element in the first row of the 3x3 matrix would be:

a11 * det | a22 a23 | - a12 * det | a21 a23 | + a13 * det | a21 a22 |

| a32 a33 | | a31 a33 | | a31 a32 |

Repeat this process for the other two elements in the first row, changing the positions of the 2x2 matrices accordingly.

Subtract the second row of the matrix from the first row multiplied by the appropriate coefficient, and simplify. This will give you the first row of the matrix.

Repeat this process for the other two rows, using the appropriate 2x2 matrices and coefficients.

Simplify the resulting matrix to get the final 3x3 matrix.

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Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

This is cause the phrase two thirds refrences as two of three which is a fraction.

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.

A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

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Answer:

the correct option is D

Step-by-step explanation:

Ratio of concentrate and water in 1:1 would be most reliable for this situation. Thus, A is the correct option.

A ratio is a way to compare two or more comparable quantities by writing the numbers with a colon in between each one. The figures must be whole numbers without any units.

You must practise the techniques described here repeatedly until they are automatic in order to master them. After reading this text and/or watching the related video tutorial, you should be able to:

• calculate the ratio of two or more similar quantities, regardless of whether they are expressed in the same units;

• divide a quantity into a number of parts in given ratios;

• use ratios to scale up or scale down a list of ingredients.

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Correct answer:

A customer wants to make screen wash from concentrate and water.

The diagram shows the amount of concentrate she puts into a container.

ml

1000

800

600

400

200

The customer adds water into the container up to the 1000 ml division. Which Ratio of concentrate and water would be most reliable.

A.  1:1

B. 4:5

C. 2:5

D. 1:5

Answer:

16

Step-by-step explanation:

112/7=16, 16x4=64, 16x3=48, 64-48=16

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

GCD (119, 378) = 7 and x = 25 and y = -6 is the value by using Euclidean alogorithm.

What does Euclidean algorithm mean?

By dividing the larger by the smaller, the smaller by the remainder, the first remainder by the second remainder, and so on, until an exact division is achieved, the greatest common divisor is the exact divisor. Euclid's algorithm is also known as.

by Euclidean division algorithm,

378 = 3 × 119 +21

119 = 5 × 21 + 14

21 = 1 × 14 + 7

14 = 2 × 7 + 0

Therefore 7 is GCD of 119 and 378.

so, GCD(119 , 378) = 119x + 378y = 7

now 7 = 119x + 378y

⇒7 = 7 × 13x + 7 × 54y

⇒1 = 13x + 54y

⇒13 × 25 + 54 × (-6) = 13x + 54y

on comparing we get, x = 25 and y = -6

Therefore GCD (119, 378) = 7 and x = 25 and y = -6

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The solution for y in the equation 48/y = 12 is y = 4 .

To solve for y in the equation 48/y = 12, we can multiply both sides of the equation by y to eliminate the denominator:

48/y * y = 12 * y

On the left side, the y in the denominator cancels out:

48 = 12 * y

Next, divide both sides of the equation by 12 to isolate y :

48/12 = y

Simplifying, we get:

4 = y

Therefore, the solution for y in the equation 48/y = 12 is y = 4 .

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Notice that angles GNF, GNH and HNK lay in the same straight line. Therefore,

Now, we know that angle GNF measures 60°. This way,

We also know that angles GNH and MNL are vertically opposite, meaning they are the same. This way, we have that

We also know that angle MNL measures 47°. This way, we can clear angle HNK and now its value:

This way, we can conlcude that:

Answer:

\( b.~~s \le 35 \)

Step-by-step explanation:

The speed limit is the maximum allowed speed. If the speed limit is 35 mph, you can drive at 35 mph or less than 35 mph. You need to show a speed that is less than or equal to 35 mph.

Answer:

\( s \le 35 \)

Answer:

Find cost difference between the two days

151 - 115  = 36

we can assume it costs 18$ a day

To find registration fee

five days = 18 x 5 = 90$

115 - 90 = 25

The registration fee is 25$

The formula is 18x + 25. Where x is the amount of days the dog is boarded

1. False

2. True

3. True

Answer:

The dimensions are 10 2/3 feet by 5 1/3 feet (Ten and two-thirds and five and one third).

Step-by-step explanation:

This is our system of equations:

y=Length

x=Width

y=2x

2x+2y=32

We can substitute the y value in the second equation by plugging in the first equation:

2x+2(2x)=32

2x+4x=32

6x=32

x=16/3 or 5 1/3

We can plug in this x value into the first equation to find the y value:

y=2(16/3)

y=32/3 or 10 2/3

The permutation and combination expressions have their values to be ⁸C₇ = 8 and ¹¹P₅ = 55440

From the question, we have

⁸C₇ and ¹¹P₅

The combination expression: ⁸C₇

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 7

Substitute the known values in the above equation

Total = ⁸C₇

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

⁸C₇ = 8!/7!1!

Evaluate

⁸C₇ = 8

(b) The permutation expression: ¹¹P₅

The number of ways of selection could be drawn is calculated using the following permutation formula

Total = ⁿPᵣ

Where

n = 11 and r = 5

Substitute the known values in the above equation

Total = ¹¹P₅

Apply the permutation formula

ⁿPᵣ = n!/(n - r)

So, we have

¹¹P₅ = 11!/6!

Evaluate

¹¹P₅ = 55440

Hence, the values are 8 and 55440

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Answer: 35

Step-by-step explanation:

20 divided by 7 = 2.8

100 divided by 2.8 = 35

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer: the answer is C $912.

Step-by-step explanation: The interest on the loan is calculated as follows:

Interest = Principal x Rate x Time

where Principal is the amount borrowed, Rate is the interest rate as a decimal, and Time is the length of the loan in years. Substituting the given values, we get:

Interest = $800 x 0.14 x 1

Interest = $112

Therefore, the total amount to be repaid is the sum of the principal and the interest, which is:

Total amount = Principal + Interest

Total amount = $800 + $112

Total amount = $912

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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The graph that represents the given piecewise function has a range of

R: (-∞, 0) ∪ (0,2] ∪ (4, ∞).

A piecewise function is a combination of subfunctions that are defined with different intervals in the domain.

The range of the piecewise function is the union of all the ranges of the subfunctions.

The given piecewise function is

g(x) = x², x < 0

      = 1/2 x, 0 < x ≤ 4

      = x, x > 4

The domain and range for the subfunctions in the given piecewise function are:

for g(x) = x²; Domain is {x < 0} and Range is (-∞, 0)

for g(x) = 1/2 x; Domain is {0 < x ≤ 4} and Range is (0, 2]

for g(x) = x; Domain is {x > 4} and Range is (4, ∞)

Then, the range of the given piecewise function is

Range: (-∞, 0) ∪ (0, 2] ∪ (4, ∞)

Thus, the graph shown in the question is the correct one.

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Answer: c, its da 3rd graph

Step-by-step explanation: