If we divide Rs 20 between Jatin and Arnav in the ratio 3 : 2, how much will each of
them get?

Answer:

To add mixed numbers, we first need to convert them to improper fractions. 5 2/3 = (5 x 3 + 2)/3 = 17/3 6 21/23 = (6 x 23 + 21)/23 = 139/23 Now we add the fractions together: 17/3 + 29/69 + 139/23 To add these fractions, we need to find a common denominator. The smallest common denominator for 3, 69, and 23 is 3 x 69 x 23 = 15087. So we rewrite each fraction with the common denominator: 17/3 x 5039/5039 = 85763/15087 29/69 x 219/219 = 633/15087 139/23 x 657/657 = 9123/15087

65% median  on the posttest .

How can I determine the median?

n  = 9

scores 82% 79%,47%,65,81,57,52%, 66%.

ascending  47%, 52%, 57%, 57%,65%, 66%, 79%, 81%, 82%

median = nth + 1/2  = 9 + 1 /2

             = 10/2 = 5

median  = 65%

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The variable t in the equation is 1.

3t - 18 = 4(-3 - 3/4t)

Open the bracket on the right side

3t - 18 = 4(-3 - 3/4t)

3t - 18 = -12 - 3t

add 3t to both sides of the equation

3t - 18 = -12 - 3t

3t - 18 + 3t = -12 - 3t + 3t

3t + 3t  - 18 = -12

6t - 18 = - 12

Add 18 to both sides of the equation

6t - 18 = - 12

6t - 18 + 18 = - 12 + 18

6t = 6

divide both sides by 6

6t = 6

6t / 6 = 6 / 6

t = 1

Therefore, the value of t is 1.

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Answer:

f(x)  :  exponential growth

g(x);  exponential growth

h(x):  exponential growth

j(x):   exponential decay

Step-by-step explanation:

In an exponential function such as
\(m(x) = a \cdot b^x\)

the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative

If b > 1, it is a growth function

If b < 1 then it is a decay function

If b = 1 neither growth or decay function values are constant

In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function

Answer:

O f(x)  :  exponential growth

O g(x);  exponential growth

O h(x):  exponential growth

O j(x):   exponential decay

Step-by-step explanation: I used to do this before :)

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

All he has to do is make it taste good.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/2 is 6/12. 6/12 is close to 5/12 than the others.

Answer:

What is an example of how public conduct, even outside of the office itself, can affect one’s job?

Step-by-step explanation:

9514 1404 393

Answer:

  h = 2V/(ab)

Step-by-step explanation:

Divide both sides of the equation by the coefficient of h.

  V = (abh)/2

  h = 2V/(ab)

Answer:

4

Step-by-step explanation:

Answer:

\(3.6 \div 0.9 = 4\)

answer should be 4

Answer: 0.04

Step-by-step explanation:

The area \(A_1\) of the square target with side length \(s_1=20 cm\) is:

\(A_1=s_1^{2}=20^{2}=400\)

The area \(A_2\) of the shaded square with side length \(s_2=4cm\) is:

\(A_2=s_2^{2}=4^{2}=16\)

So, the probability that the dart will land in the shaded square on the target is:

\(\frac{A_{2}}{A_{1}}=\frac{16}{400}=0.04\)

Answer:

9 is the answer

Data: John's current pay is $78,000. Annual salary increase rate: 5% Maximum 401k contribution: 15% of pre-tax gross yearly salary Every year, John intends to pay 10% of his current earnings to his 401k.

Annual compounded return on 401k investments is expected to be 8%.

$10,000 wedding money target in 12 months

Short-term CD interest rate: 2%

Goal for house down payment: $40,000 in 5 years

Annual expected return on housing fund investments: 4%

At the age of 60, your 401k balance is $1,000,000.

85 years is the average life expectancy.

0.5% (6%/12) monthly rate of return on retirement investments

To figure out John's 401k balance at age 60, do the following:

Compute John's annual contribution to his 401k: $78,000 x 10% = $7,800

Employ the financial calculator's future value (FV) function:

N (number) = 30  (number of years until retirement)

I/Y = 8% (annual rate of return)

PMT = -$7,800 (negative because it’s a cash outflow)

PV = 0 (no initial balance)

FV = $?

FV = $1,057,323.95

Therefore, John would have saved approximately $1,057,323.95 at age 60.

a) To achieve an age 60 balance of one million dollars:

Use the present value (PV) function on the financial calculator:

N = 30 (number of years until retirement)

I/Y = 8% (annual rate of return)

PMT = -$? (negative because it’s a cash outflow)

PV = 0 (no initial balance)

FV = $1,000,000

PMT = -$9,308.79

Therefore, John would have to save approximately $9,308.79 every year to achieve an age 60 balance of one million dollars.

b) To find the percentage of his current salary that the annual savings amount represents: Divide the annual savings amount by John’s current salary: $9,308.79 / $78,000 = 0.1194

Multiply by 100 to get the percentage: 0.1194 x 100 = 11.94%

Therefore, the annual savings amount represents approximately 11.94% of John’s current salary.

To calculate how much John will have to contribute to the wedding fund every month for the next 12 months:

Use the present value (PV) function on the financial calculator:

N = 12 (number of monthly deposits)

I/Y = 2%/12 = 0.1667% (monthly rate of return)

PMT = -$? (negative because it’s a cash outflow)

PV = 0 (no initial balance)

FV = $10,000

PMT = -$821.47 As a result, John will have to contribute $821.47 to the wedding fund each month for the following 12 months.

To determine how much John must save each month for the next 60 months in order to acquire $40,000:

Employ the financial calculator's future value (FV) function:

N = 60 (number of months) (number of months)

I/Y = 4%/12 = 0.3333% (monthly interest rate)

PMT = -$? (negative since it represents a monetary outflow)

PV = 0 (no starting balance) (no initial balance)

FV = $40,000

PMT = -$603.94

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Answer:

your answer is D

Step-by-step explanation:

Answer: y + 3x + 2 = 0

Step-by-step explanation:

The formula for that is

y - y₁

-------     = -3 where x₁ = -3, y₁ = 7

x - x₁

Therefore cross multiply and solve

y - 7 = -3[( x - (-3)]

y - 7 = -3( x + 3 )

y - 7 = -3x - 9

y + 3x -7 + 9 = 0

y + 3x + 2 = 0

Answer:

y=-3x-2

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Because its a 50/50 and

The equation of the line with y - intercept (0, 6) is \(y = -\frac{3}{2}x + 6\).

What is tangent?

The straight line that "just touches" the curve at a given point is referred to as the tangent line to a plane curve in geometry. It was defined by Leibniz as the path connecting two points on a curve that are infinitely close together.

Given:

Graph is a parabola tangent to the x-axis at (4,0) with y-intercept 6.

That is there are two points (4, 0) and (0, 6).

From these two points we have to find the slope of the line.

\(m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-6}{4-0} = -\frac{6}{4} = -\frac{3}{2}\)

Now to use point slope form of the line.

\(y-y_1 = m(x-x_1)\\ y - 6 = -\frac{3}{2}(x-0)\\ y - 6 = -\frac{3}{2}x\\ y = -\frac{3}{2}x + 6\)

Hence, the equation of line is, \(y = -\frac{3}{2}x + 6\).

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By using the given scale, we will see that the real distance is 240km

We know that the scale of the map is 1 cm to 12km, so we just need to take the distance in centimeters on the map, and multiply that number by 12 km.

We know that on the map, the distance between Cardiff and London is 20cm, then the real distance is 12km times that, so we will get:

real distance = 20*12km = 240km

The real distance between Cardiff and London is  240 kilometers.

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On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

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Answer:

0.037

hope thats the answer

Answer:

Answer= 0.037

Step-by-step explanation:

(\(3^{-3}\)) is the same as \(\frac{1}{3^{3} }\)

(the negative power rule states that \(x^{-y}\) is the same as \(\frac{1}{x^{y} }\))

which is equal to \(\frac{1}{27}\)

or converted to decimals it will be equal to 0.037

Answer:

Step-by-step explanation:

let the consecutive even integers be 2x,2x+2

8×2x=7(2x+2)

16x=14x+14

16x-14x=14

2x=14

x=14/2=7

so numbers are 2×7,2×7+2

or

14,16

Geomeric sequence:

n is the number of term

a1 is the first term

r is the common ratio

For the given sequence:

Find 6th term

n=6

Answer:

The probability that there is a sporting event with the garage full is:

= 14%

Step-by-step explanation:

Data on college events on evenings:

Academic events = 35%

Sporting events = 20%

No events = 45%

With academic events, the garage fills up 25% of the time

With sporting events, the garage fills up 75% of the time

With no events, the garage fills up 5% of the time

The probability that there is a sporting event with the garage full when Jose comes to campus is given as:

Probability of sporting events x probability of garage filling up

= 20% * 70%

= 0.14

= 14%

Answer:

Mean is 8 MAD is 4.29

Step-by-step explanation:

Answer:

no it gate 19/15 or 1 4/15

Step-by-step explanation:

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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The length of BD is 15 units. The measure of angle ADB is 59° and the measure of angle DEC  is 59°.

What is meant by length?

Length is a physical dimension that measures the extent of an object or distance between two points. It is a scalar quantity, typically measured in units such as meters or feet, and is an essential concept in geometry and other branches of mathematics and science.

What is meant by measure?

Measure refers to a numerical value that represents the size, quantity, or extent of a mathematical object or set. It can be used to describe the length, area, volume, angle, or other properties of geometric figures, functions, or sets.

According to the given information

If EC = 15, find BD:

Now, consider triangle BDC. We know that angle BDC is 31 degrees, so angle BCD is 180 - 90 - 31 = 59 degrees.

Using the sine rule in triangle BCD, we have:

BD/sin(BDC) = CD/sin(BCD)

=> BD/sin(31) = x/sin(59)

using the sine rule in triangle AEC, we have:

AC/sin(theta) = CE/sin(180 - 2theta)

=> AC/sin(theta) = 15/sin(2theta)

But we also know that AC = BD ,So

BD/sin(theta) = 15/sin(2*theta)

Now, using the double angle formula for sine, we have:

sin(2theta) = 2sin(theta)*cos(theta)

Substituting this in the above equation, we get:

BD/sin(theta) = 15/(2*sin(theta)cos(theta))

=> BD = 15cos(theta)/2

But we also know that:

cos(theta) = AC/2EC = BD/2EC

Substituting this in the above equation, we get:

BD = 15BD/(22EC)

=> BD = 15*BD/60

=> BD = 15

Therefore, BD = 15 units.

Find angle ADB:

Consider triangle ABD. We know that AE is the bisector of diagonal AC, so angle BAE = angle DCE.

Also, since opposite angles of a rectangle are equal, we know that angle BAE = angle ADB.

Therefore, angle ADB = angle DCE.

Now we have:

angle DCE = 180 - angle BCE - angle BCD

=> angle DCE = 180 - 90 - 31

=> angle DCE = 59 degrees

Therefore, angle ADB = 59 degrees.

Find angle DEC:

Consider triangle DEC. We know that AE is the bisector of diagonal BD, so angle AEB = angle DEB.

Also, since opposite angles of a rectangle are equal, we know that angle AEB = angle AED.

Therefore, angle DEC = angle DEB - angle AED.

Now we have:

angle DEC = angle DEB - angle BEC

=> angle DEC = 180 - angle BCD - angle BEC

=> angle DEC = 180 - 31 - 90

=> angle DEC = 59 degrees

Therefore, angle DEC = 59 degrees.

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Answer:

30 sec.

Step-by-step explanation:

A) 3:4

B) 4:7

C) 5:9

To solve this, we need to find the Greatest Common Divisor (GDC) of each pair of numbers.

For pair A)

Factors:

39 => 1, 3 13, 39

52 => 1, 2, 4, 13, 26, 52

The GCD is 13. Then divide both numbers by the GCD:

39/13 = 3

52/13 = 4

The SImplified ratio is 3:4

For B)

Factors:

44 => 1, 2, 4, 11, 22, 44

77 => 1, 7, 11, 77

Then divide by GCD, in this case, 11:

44/11 = 4

77/11 = 7

44:77 => 4:7

For c)

Factors:

45 => 1, 3, 5, 9, 15, 45

81 => 1, 3, 9, 27, 81

The GCD is 9. Then

45/9 = 5

81/9 = 9

The ratio is 45:81 => 5:9