principal is 5000 rate p.a. is 8 percent and time 1year

Answer: -5/2 and the decimal form is -2.5

Step-by-step explanation: hope this helps

Answer:

486

Explanation:

(fg)(x) is equal to:

So, replacing f(x) = 2x² and g(x) = √x, we get:

Then, to evaluate for x = 9, we need to replace x by 9, so:

Therefore, the answer is 486.

Given:

This is a division problem.

To divide 15 by 3, let's use this method:

From the illustration above, we have 15 lines. After dividing them by three, we can see we now have 5 different groups.

Therefore, when you divide 15 by 3 the answer is 5.

ANSWER:

5

Answer:

(1) when x is 0 y=5/2 and when y is 0 x=5

(2)Graph the points : (0 , 5/2) and (5 , 0)

(3)the slope is   -1/2

Step-by-step explanation:

Answer:

15.23 m

Step-by-step explanation:

The problem given describes the shape of a right angled triangle.

From the diagram below:

The height of the tree is the opposite = 6 m

The distance of the flower from the base of the tree = adjacent = 14 m

The distance the bird must fly to get from the nest to the flower = hypotenuse = h

According to Pythagoras rule:

\(hyp^2 = opp^2 + adj^2\)

Therefore:

\(h^2 = 6^2 + 14^2\\\\h^2 = 36 + 196\\\\h^2 = 232\\\\h = \sqrt{232} \\\\h = 15.23 m\)

The bird will have to fly 15.23 m to get from its nest to the flower in a direct path.

Answer:

60%

Step-by-step explanation:

8-5=3

3/5=0.6 and 0.6 = 60%

so 3 is 60% or 5

so 5+3 is a 60% increase

Answer:

11 points

Step-by-step explanation:

Claire had 11 points  because 18-7=11

C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.

Two or more expressions with an Equal sign is called as Equation.

Given that Ava scored 18 points in a basketball game.

Let Ave score be represented as A.

Ave scored seven points more than Claire.

Let C be the Claire score.

A=7+C

As given Ava scored 18 points in a basketball

so the value of A is 18

18=7+C

Now let us find the value of C

Subtract 7 from both sides

18-7 =C

11=C

Hence, C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.

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The result of applying the square root property of equality to this equation is x = (-b ± √(b² - 4ac)) / (2a)

If we apply the square root property of equality to the equation (x + (b/2a))² = (-4ac + b²)/(4a²), we get:

x + (b/2a) = ±√[(-4ac + b²)/(4a²)]

Next, we can simplify the expression under the square root:

√[(-4ac + b²)/(4a²)] = √(-4ac + b²)/2a

Now, we can substitute this expression back into our original equation:

x + (b/2a) = ±√(-4ac + b²)/2a

Finally, we can isolate x by subtracting (b/2a) from both sides:

x = (-b ± √(b² - 4ac)) / (2a)

This is the quadratic formula, which gives us the solutions for the quadratic equation ax² + bx + c = 0. By completing the square, we have derived this formula from the original quadratic equation.

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Complete question is:

In the derivation of the quadratic formula by completing the square, the equation (x+ (b/2a))² =(-4ac+b²)/(4a²) is created by forming a perfect square trinomial What is the result of applying the square root property of equality to this equation?

Let a be first term

\(\\ \rm\longmapsto a_8=a+7d\)

\(\\ \rm\longmapsto 26=a+7(3)\)

\(\\ \rm\longmapsto a=26-21\)

\(\\ \rm\longmapsto a=5\)

Now

\(\\ \rm\longmapsto a_4=a+3d\)

\(\\ \rm\longmapsto a_4=5+3(3)\)

\(\\ \rm\longmapsto a_4=5+9\)

\(\\ \rm\longmapsto a_4=14\)

Answer:

y = 2x + 10

Step-by-step explanation:

Find the slope:

12 - 2 / 1 - (-4)

10 / 5 = 2

Write in point-slope form:

y - 12 = 2(x - 1)

rearrange:

y - 12 = 2x - 2

y = 2x + 10

Answer:

C or B

Step-by-step explanation:

Answer:

Your answer is A.

Step-by-step explanation:

You can count the arrow lines as the 2s. Such as, 2, 4, 6, 8 and 10.

So, the line 'x' is being divided by how many lines touching it.

Therefore, it is 1.

Then you add x and 6, the number which the line is ending with.

Your final answer is, F(x) =      1      

                                                x+6

Hope this helped!

Answer:

-(6y + 2z) - 7z - (12z + 32y)

Step-by-step explanation:

9,875

Answer:

A,B,C

Step-by-step explanation:

Hope this helps

BRAINLIEST

The cost for  \(1\frac{3}{4}\) pounds of milk chocolate is $ 6.16 more than the cost for  \(1\frac{3}{4}\) pounds of caramels.

Two or more expressions with an Equal sign is called as Equation.

The cost of each pounds of Caramels = $ 9.28,

So, the cost of \(1\frac{3}{4}\)  pounds of caramels =  \(1\frac{3}{4}\)×9.28

=7/4×9.28=$16.24

The cost of each pounds of milk chocolate = $ 12.80

So, the cost of \(1\frac{3}{4}\)  pounds of milk chocolate = \(1\frac{3}{4}\)  ×12.8

=$22.24

∵ 22.4 > 16.24,

the cost of  \(1\frac{3}{4}\) pounds of milk chocolate  > The cost of   \(1\frac{3}{4}\)pounds of caramels

22.4-16.24=6.16

Hence, the cost for  \(1\frac{3}{4}\) pounds of milk chocolate is $ 6.16 more than the cost for  \(1\frac{3}{4}\) pounds of caramels.

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Answer:

7.2

Step-by-step explanation:

3/5 * 12

Answer:

Step-by-step explanation:

(0,-5)

+6 in the y-axis

(0,1)

+4 in the x-axis

(4,1)

Answer:

f = 6

Step-by-step explanation:

Step 1: Write equation

9f + 16 = 70

Step 2: Subtract 16 on both sides

9f = 54

Step 3: Divide both sides by 9

f = 6

Answer:

3/10

Step-by-step explanation:

Answer:

9x-2x-1

Step-by-step explanation:

Answer:3.92

Step-by-step explanation:

find 1/5 of 9.8kg

=1.96kg

3/5 of pears = 1.96*3=5.88kg

apples= 2/5 so 1.96*2=3.92kg

OR 9.8-5.88=3.92kg

Answer:

3.92kg of Apples

Step-by-step explanation:

The size of Pears weight is 3/5 of 9.8kg...

=3/5 * 9.8

=3 * 9.8/5

=29.4/5

=5.88kg

Thus, the size of the Apples will be 9.8kg - 5.88kg

= 3.92kg.

Thus, the farmer sold 3.92kg of Apples at the farmer's market.

The new coordinates of the point (-7, -6) are (-6, 7).

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

(x, y) = (-7, -6)

The rule is given as

A rotation of 90° clockwise around the origin.

Mathematically, this can be represented as

(x, y) = (y, -x)

So, we have

Image = (-6, 7)

Hence, the image is (-6, 7)

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Answer:

$8,580,000 (rounded) = $9,000,000

Step-by-step explanation:

Keep in mind, 2007 is four years after 2003.

So, 8(%) • 4 = 32(%)

Over the course of 4 years, the companies profits increased by a total of 32 percent.

(*Write 6.5m in standard form)

6,500,000 + 32% = $8,580,000

8,580,000 (rounded up) = 9,000,000

Answer:

1 over 36

Step-by-step explanation:

Hives, itching, and pale or flushed skin are examples of allergies. reduced blood pressure (hypotension) breathing difficulties and wheezing can result from airway constriction and swelling of the tongue or throat.

What causes allergies?

Why do allergies occur?

If your immune system overreacts to something that is typically harmless but causes an allergic reaction in someone who is sensitive to it, you will experience allergy symptoms. We call this chemical an allergy.

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The required, rate of change of function B is greater than the rate of change of Function A.

Rate of change is defined as the change in value with rest to another entity is called rate of change.

Here,
For function 1 rate of change is given by the slope of the function,

m = (y₂ - y₁) / (x₂ - x₁)
m = 2 - 1 / 4 - 0
m = 1/4

m = 0.25

For function B, y = 0.75x - 2 rate of change has defined the slope of the function from the equation slope is m = 0.75.

So Slope of function B > Slope of function A

Thus, the rate of change of function B is greater than the rate of change of Function A.

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Set of ordered pairs does not represent a function i

= {(2, 2), (0, -8), (2, 7), (-3, 8)}

A function relates an input to an output.  A function is generally denoted by f(x) where x is the input.

What is a set?

Any collection of objects , which are mathematical or not

Ordered pair are a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

From question given data is

{(4, 6), (9, -2), (3, -5), (6, 6)}

{(−1,−2),(−4,9),(8,−9),(1,2)}

{(-1, 9), (-7, 8), (3, -1), (4, -1)}

{(2, 2), (0, -8), (2, 7), (-3, 8)}

From the above options we can see that last option has same number in the x axis coordinate. Thus it does not represents a function.

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By solving a linear equation, it can be calculated that

The chef weighed x kg of food

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expression by connecting the two algebraic expression by an equal to sign.

A one degree equation is known as linear equation.

Here a linear equation needs to be solved

Let the chef weighed x kg of food

A chef uses the following rule for cooking food on a spit ‘Allow 20 minutes for each kilogram weight and then add an extra 20 minutes

Total time taken = 20x +20

By the problem,

20x + 20 = 180

20x = 180 - 20

20x = 160

x = \(\frac{160}{20}\)

x = 8 kg

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To find a plane containing the point (-5, 6, -6) and the line defined by parametric equations x(t) = 7 - 5t, y(t) = 3 - 6t, and z(t) = -6 - 6t, we can use the point-normal form of the equation of a plane.

The equation of a plane in point-normal form is given by Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane, and (x, y, z) are the coordinates of a point on the plane. We can determine the normal vector by taking the cross product of two direction vectors in the plane.

The direction vector of the line can be obtained by taking the coefficients of t in the parametric equations, which gives us (-5, -6, -6). We can choose any two non-parallel direction vectors in the plane, for example, (1, 0, 0) and (0, 1, 0). Taking the cross product of these two vectors, we get the normal vector (0, 0, -1).

Now, we can substitute the values of the point (-5, 6, -6) and the normal vector (0, 0, -1) into the point-normal form equation. This gives us 0*(-5) + 0*6 + (-1)*(-6) + D = 0, which simplifies to D = -6. Thus, the equation of the plane containing the point (-5, 6, -6) and the given line is 0*x + 0*y - z - 6 = 0, or simply -z - 6 = 0.

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angle A = 41.0 degrees

Side AC = 9.1 yd

Side CB = 7.3 yd

11) angle C = 84 degrees

andle B = 55 degrees

angle A + angle B + angle C = 180 degrees (sum of angles in a triangle)

angle A + 55 + 84 = 180

angle A + 139 = 180

angle A + 139-139 = 180 -139

angle A = 180 -139

angle A = 41 degrees

angle A = 41.0 degrees (nearest tenth)

To find side AC, we apply sine rule

c = AB = 11 yd

AC is the side opposite angle B. It is represented by b in the formula

c/sinC = b/sinB

11/sin84 = b/sin55

b = (11/sin84)(sin55)

b = 11(0.8191)/(0.9945)

b = 9.06

Side AC = b = 9.1 yd (nearest tenth)

To find side CB, we apply sine rule

a = CB

a/sinA = c/sinC

a/sin 41 = 11/sin84

a = (11/sin84)(sin 41)

a = 7.26

Side CB = a = 7.3 yd (nearest tenth)

Answer:

C

IS YOUR ANSWER

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