The sum of − , − − is

Answer:

Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]

                        = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Answer:

(1-x2)× (2-3x)2

(1-x2) ×(8-36x+54x2-27x3)

8-36x+54x2-27x3-8x2+36x3-54x4+27x5

8-36x+46x2+9x3-54x4+27x5

Answer: 27x5-54x4+9x3+46x2-36x+8  

Step-by-step explanation:

step 1- expand the expression

step 2- remove the parentheses

step 3- collect like terms

step 4- reorder the terms

Answer:

x < 7

Step-by-step explanation:

0.5 + 2x < 14.5

2x < 14.5 - 0.5

2x < 14

x < 14 ÷ 2

x < 7

( To solve this is basically solving an equation. It's just that that instead of an equal sign, a greater than, less than, greater than or equal to or a less than or equal to sign is present. )

Answer:

192π cm³

Step-by-step explanation:

First, do π(4^2). Then, multiply that times the height. So, 50.24 x 12 = 602.88. But, the question is asking your answer in terms of π. So, do 4^2 x 12. So, 4^2 x 12, gives you the answer: 192. Now change that to make it in terms of π. So, your answer will be: 192π cm³

Answer:

give other brainliest

Step-by-step explanation:

Answer:

[tex]40\frac{5}{8}mm^2[/tex]

Step-by-step explanation:

To find the area of a triangle, one must use the formula,

[tex]\frac{base*height}{2}[/tex]

It is given that

- base = [tex]9\frac{3}{4}[/tex]

-height = [tex]8\frac{1}{3}[/tex]

Substitute in the values and solve;

[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]

In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;

- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]

- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]

Substitute,

[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]

Cross simplify,

[tex]\frac{\frac{325}{4}}{2}[/tex]

Further simplify,

[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]

Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,

[tex]40\frac{5}{8}[/tex]

Answer:

Step-by-step explanation:

Area of Yellow Rectangle

Area = L * W

Area = 25 * 11

Area = 275

Area of Parallelogram

Area = Base * height

Area = 12 * 4

Area = 48

Area of shaded area

Area = rectangle - Parallelogram

Area = 275 - 48 = 227 square feet

Answer:

153.9 ft²

Step-by-step explanation:

Given that:

Radius of circular lawn = 7 feets

To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn

Area of a circle, A = πr²

A = π * 7 * 7

A = 153.93804

A = 153.9 ft²

Answer:

pi is an irrational number and its value

is 22/7 in fraction and 3.14 in decimal

and 22/7 is rational number

hope it helps

Answer:

Pi is the ratio of a circle's circumference to its diameter.

The first 10 digits are 3.1415926535

Step-by-step explanation:

Answer:

x= 22

Step-by-step explanation:

11x - 4 = 238

11x = 242

x= 22

Answer:

9z + 11

Step-by-step explanation:

6z + 9 + 3z + 2

9z + 9 + 2

9z + 11

Answer:

9z+11

Step-by-step explanation:

6z+9+3z+2

(6z+3z)+(9+2)

9z+11

Answer:

The equal amount is 525 .

Step-by-step explanation:

Given that,

Eric and his two sister shared amount of money in ratio2:7 respectively.

Amount with Eric = 300

It means,

2x = 300

x = 150

So,

7x = 7(150)

= 1050

As the remaining amount shared equally among the sister. So, the equal amount is 525 .

Answer:

x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+5)^2=21

Step 1: Simplify both sides of the equation.

4x^2+40x+100=21

Step 2: Subtract 21 from both sides.

4x^2+40x+100−21 =21−21 4x^2+40x+79=0

For this equation: a=4, b=40, c=79

4x^2+40x+79=0

Step 3: Use quadratic formula with a=4, b=40, c=79.

x= −b±√ b^2−4ac/2ax

= −(40)+√ (40)^2−4(4)(79)/2(4)

x = 40^2±√ 336/8

x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21

Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

( I hope this was helpful) >;D

Answer:

3 11/12 in.

Step-by-step explanation:

The radius is simply half of the diameter.

7 5/6  divide by 2 =  3 11/12

Answer:

60

Step-by-step explanation:

m and n are parallel the 3x=180

180/3=60

Answer:

the answer is y=4x+3

Step-by-step explanation:

4^3

you can write it like 4 × 4 × 4

you can also call it "Four to the Third power". or "Four cubed".

Answer:

heart

Step-by-step explanation:

Answer:

It would be the heart <3

Step-by-step explanation:

Answer:

Independent Events

Step-by-step explanation:

Given

[tex]Green = 3\\ Orange = 2\\ Red = 5[/tex]

Required

Dependent or independent event

The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.

Before selecting the orange jelly:

[tex]P(Green) = \frac{Green}{Total}[/tex]

[tex]P(Green) = \frac{3}{10}[/tex]

After selecting the orange jelly:

[tex]P(Green) = \frac{Green}{Total}[/tex]

[tex]P(Green) = \frac{3}{10}[/tex]

Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.

Answer:

∠A = 116°

∠B = 116°

∠C = 64°

Step-by-step explanation:

since it is an isosceles trapezoid, ∠C = ∠D = 64°

∠A would be same side interior to ∠D so it would be 180° - 64° = 116°

∠B = ∠A = 116°

The  measure of each angle in the isosceles trapezoid are; ∠A = 116°

∠B = 116° and ∠C = 64°

Due to the figure being isosceles trapezoid, it is symmetric.

Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.

Since it is an isosceles trapezoid, ∠C = ∠D = 64°

Here we can use the  symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°

We have ∠A that would be same side interior to ∠D

Thus, it would be 180° - 64° = 116°

∠B = ∠A = 116°

Learn more about isosceles trapezoid here:

brainly.com/question/4084820

#SPJ2

9514 1404 393

Answer:

  B.  22 to 26

Step-by-step explanation:

Multiply each value in the ratio by 2/3 to see an equivalent that is among the choices.

  33 : 39 = (2/3)(33) : (2/3)(39) = 22 : 26

Answer:

x intercept is 8, y intercept is 10

Step-by-step explanation:

x intercept is the x value for which the graph crosses the x-axis. Similar for y.

5x + 4y = 40 describes a straight line, so we should have no problem with finding those values

Let's find an x for which y = 0

5x + 4y = 40

substitute y=0

5x = 40

x = 8

Let's find a y for which x = 0

5x + 4y = 40

substitute x=0

4y = 40

y = 10

Answer:

i woyld say 1/3 and 2/5

Step-by-step explanation:

they aer bigger parts then the other

Answer:

if you find both areas and compare them with a common denominator youll see that 8/15 and 1/6 is greater .

Complete question :

Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 1/4 square foot. How many squares is the wall divided into?

Answer:

96

Step-by-step explanation:

Given that:

Total area of wall = 24 ft²

Area of each division =. 1/4 ft²

Number of division = x

The number of divisions * area of each division = total area of wall

x * 1/4ft² = 24ft²

Divide both sides by 1/4 ft²

x = 24ft² ÷ 1/4 ft²

x = 24 * 4 /1

x = 96

Hence, wall is divided into 96 squares

Answer:

y=2x-1

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

Every 1 x the line goes across it goes up 2 so x=2.  You will also notice that the line passes through -1 on the y so y=2x-1/  BTW great graphing calculator to check lines and equations

desmos calculator

False like a trapizoid they will touch sides a square wont but diagonal will square will I smart respectt

me

Answer: The answer is 1320 hope this is right.

Step-by-step explanation:

Answer:

fast multiply 5 by 39 to get the total age of the five people now as you are told those per 5 so imagine the six person being you if you enter you're going to add to their ages so they mean is going to be for six people so take the six people x their mean age now we have two different total ages for the five people and for the six people subtract the total age of the 5 from the 6th total ages to get the age of the person who entered the room if you don't understand please ask me and be willing to help

Answer:

The age of the person who entered the room is 21.

Step-by-step explanation:

Mean of 5 peoples = 39

i.e.

Sum / 5 = 39

Sum = 39 x 5

Sum = 195

Mean after one person enters the room = 36

Let x be the age of the new person.

Then

Mean = (Sum + x)/ 6

36 = (195 + x)/6

36 x 6 = 195 + x

216 = 195 + x

x = 216 - 195

x = 21