What is the HCF of 4,8 and 12​

Answer: 9.6

Step-by-step explanation:

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The number of years it will take for $390 to become $660 is 9.63 years.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

\(A = P(1+ \dfrac{r}{n})^{nt}\)

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

Given the principal amount is $390, the rate of interest is 5.5%(0.055), the number of times the interest is charged in a year (n=4), and the final amount is $660, therefore, the number of years will be equal to,

\(660 = 390(1+ \dfrac{0.055}{4})^{4 \times t}\\\\\dfrac{660}{390} = (1.01375)^{4 \times t}\\\\1.6923 =(1.01375)^{4 \times t}\\\\{\rm log}_{1.01375}1.6923 = 4t\\\\4t = 38.5234\\\\t=9.63\)

Hence, the number of years it will take for $390 to become $660 is 9.63 years.

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Answer:

(See explanation for all answers)

Step-by-step explanation:

4.

A. 3/16

It says in the chart that 4 text messages have a probability of 3/16.

5.

D. 13/16

You just have to add up all the probabilities under four.

6.

B. 5/8

At least two messages means that you need to add up all the probabilities 2 and above.

Hope this helps!

-Luna

Answer:

2x-4=12

2x=12+4

2x=16

x=16/2

x=8

Answer: x = 8

Step-by-step explanation:

2x - 4 + 4 = 12 + 4

2x = 16

\(\frac{2x}{2}\) = \(\frac{16}{2}\)

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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Answer:

okay

Step-by-step explanation:

Answer:To find the mean of a data set, add all the values together and divide by the number of values in the set.

Step-by-step explanation:

\(\red {incomplete \: question}\)

The average value of 3t^3-t^2 over the interval -1<=t<=2 is 11/4

Mean Value Theorem states if a function f(x) is continuous on the interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:

f '(c)=f(b)-f(a)/b-a

Average Value:

The average value of a function of a variable over a range represents the height of a rectangle of the same area as that defined by the function under the curve. This value can be calculated using a formula:

favg=1/b−a∫f(t)dt

consider f(x)=3t³-t² and limits are -1 to 2

Now, substitute these values in the above formula:

favg=1/2-(1)∫3t³-t²dt

favg=1/3∫(3/4t⁴-1/3t³)|₋₁²

favg=(12-8/3)-(3/4+1/3)

By solving the equation we get

favg=11/4

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The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

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Answer:

-5/3

Step-by-step explanation:

We have two points on the line  ( 0,2) and ( 3, -3) so we can use the slope formula to find the slope

m = ( y2 -y1)/(x2-x1)

    = ( -3 -2)/(3-0)

   = -5/3

Answer:

Step-by-step explanation:

You need only take 45% of 200

Music = 45/100 * 200

Music = 9000/100

Music = 90

So of a grade of 200, there are 90 who take music.

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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Answer:

5% Dextrose

Step-by-step explanation:

Dextrose is primarily used as a carbohydrate for nutrition and as a source of fluid. Whereas Sodium chloride is primarily used as a source of fluid and electrolytes.

A patient needs fluid and carbohydrates for nutrition. The fluid that the patient is likely to be administered is TNP. The patient needs fluid and carbohydrates for nutrition. The correct option is b.

Total parenteral nutrition (TPN) is a feeding technique that omits the digestive system. The majority of the body's nutritional requirements are met by a specific formula administered intravenously.

When a person cannot or shouldn't receive feedings or fluids orally, the technique is utilized. The term "parenteral nutrition," sometimes known as "total parenteral nutrition," refers to the practice of administering a unique type of food through a vein (intravenously).

The treatment's aim is to treat or stop malnutrition. TPN is made up of many components that are mixed together. These components include dextrose, lipid emulsions, amino acids, vitamins, electrolytes, minerals, and trace elements.

Therefore, the correct option is b, total parenteral nutrition.

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The question is incomplete. Your most probably complete question is given below:

a. protein

b. total parenteral nutrition.

c. iodine

d. fats

The correct answer for given dilation will be A and D i.e. Point P is midpoint of AA' and XY⊥AA'.

What precisely is dilation?

Dilation is the process of changing the size of an object or form by shrinking or extending its dimensions based on certain scale variables. For example, a circle with radius 10 unit is decreased to a circle with radius 5 unit. This method is used in photography, arts and crafts, and logo design, among other things. In geometry, there are four basic types of transformations. These are their names:

Properties of Rotation, Translation, Reflection, and Resizing

Dilation properties

The following are some features of shapes that remain constant with dilation changes:

Now,

As The image of A is made on line XY and the image will be A'

then XY⊥AA' because line formed between images is always perpendicular to the plane it is formed on and

P is the midpoint of AA' because we know that AP and A'P are same in a image formation.

Hence,

           Point P is midpoint of AA' and XY⊥AA'.

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When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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So, we want to write 0.875 as a common fraction. This is:

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

2 -- True

0 -- True

-3 -- True

-4 -- False

-6 -- False

Step-by-step explanation:

When solved the inequality, 3x + 7 > -5, it would turn out to be x > -4

Anything greater than -4 is a solution.

Answer:

The two digit numbers having sum equal to 8 are: 17,26,35,44,53,62,71,80.

Step-by-step explanation:

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

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The end behavior of the function q(x) is:

To know the end behavior we need to look at the degree and the sign of the leading coefficient.

If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.

Here we can see that the function is:

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:

when x → ∞, q(x) → -∞

when x → -∞, q(x) → -∞

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The approximate number of guests that were children are 172 and adults are 278

From the complete question, we have the following system of equations

25x + 12y = 9014

x + y = 450

Make y the subject in x + y = 450

y = 450 -x

Substitute y = 450 - x in 25x + 12y = 9014

25x + 12(450 - x) = 9014

Expand the expression

25x + 5400 - 12x = 9014

Evaluate the like terms

13x = 3614

Divide both sides by 12

x = 278

Substitute x = 278 in y = 450 -x

y = 450 - 278

Evaluate

y = 172

Hence, the approximate number of guests that were children are 172 and adults are 278

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answer:

4d + 2w and 1/2(8d + 4w)

- read each line correctly and try to make something out of it, if that makes sense

Part(a),

The exponential function that models the total spent on food and drinks as a function of the number of years since 1990 is:

\(T(x) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^x\)

Part(b),

The predicted amount spent in 2000 is 964 billion dollars (rounded to the nearest integer).

Part(c),

The predicted total sales of food and drink in 2018 is 1756 billion dollars

Part(d),

If the exponential trend continues, the total sales will reach 2 trillion dollars approximately 32.72 years after 1990, which is around the year 2022.

(a) To model the total spent on food and drinks as an exponential function of the number of years since 1990, we can use the general form of an exponential function:

\(T = a \times b^t\)

where T is the total spent in billions of dollars, t is the number of years since 1990, a is the initial amount spent in 1990, and b is the growth factor or base of the exponential function.

Using the given information, we can set up two equations:

T(0) = 641 (total spent in 1990)

T(13) = 1016 (total spent in 2003, which is 13 years after 1990)

Substituting these values into the exponential function, we get:

\(641 = a \timrd b^0\) => a = 641

\(1016 = a b^{13\) => \(b = (\dfrac{1016}{641})^{\frac{1}{13}\)

Therefore, the exponential function that models the total spent on food and drinks as a function of the number of years since 1990 is:

\(T(x) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13})^x\)

(b) To predict the amount spent in 2000, we need to substitute t = 10 (since 2000 is 10 years after 1990) into the exponential function:

\(T(10) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^{10\) ≈ 964

Therefore, the predicted amount spent in 2000 is 964 billion dollars (rounded to the nearest integer).

(c) To predict the total sales of food and drink in 2018, we need to substitute t = 28 (since 2018 is 28 years after 1990) into the exponential function:

\(T(28) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^{28\) ≈ 1756

Therefore, the predicted total sales of food and drink in 2018 is 1756 billion dollars (rounded to the nearest integer).

(d) To estimate when the total sales will reach 2 trillion dollars, we need to solve for t in the exponential function when T(t) = 2000 (since 2 trillion dollars is equivalent to 2000 billion dollars):

\(2000 = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^t\)

\(ln(\dfrac{2000}{641}) = t \times ln((\dfrac{1016}{641})^{(\frac{1}{13})\)

\(t = \dfrac{ln(\dfrac{2000}{641})} { ln((\dfrac{1016}{641})^{(\frac{1}{13})) }}\)

t = 32.72

Therefore, if the exponential trend continues, the total sales will reach 2 trillion dollars approximately 32.72 years after 1990, which is around the year 2022.

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10

Explanation

Step 1

to find the missing side we can use the Pythagorean theorem

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“,hence

then, Let

side1=24

side2, Unknown=x

hypotenuse=26

Now, replace in the formula

therefore, the missing side is 10.

I hope this helps you

Answer:

1329.1

Step-by-step explanation:

Answer:

1329.1%

Step-by-step explanation:

(New Cost−Old Cos/Old Cost)×100

20150−14101410×100=1329.148

Answer:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 80,

So twice

Step-by-step explanation:

What else do you need but that ^

Answer:

Step-by-step explanation:

if one blinks every 10 seconds it means that it blinks 6 times in one minute

60/10=6

the other one blinks every 6 seconds

60/6=10 blinks ten times

first one blinks:     10,20,30,40,50,60

second one blinks:6,12,18,24,30,36,42,48,54,60

is like finding GCM

common number are 30 and 60

hence- twice