Please answer will give brainlyest! :D

Answer:

The difference between the principal and the compound interest in three years is Rs 17,994

Step-by-step explanation:

The compound interest is given according to the following formula;

[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]

The given amount of the compound after 2 years = Rs 5,460

The given amount of the compound after 4 years = Rs 12,066.60

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)

[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)

Dividing equation (2) by (1), we have;

[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]

[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]

[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]

∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)

∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)

12,066.60/5,460 = x + 1

x =  12,066.60/5,460 - 1 = 1.21 = 121/100

x = 121/100

[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]

[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]

We get

[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]

[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]

[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]

[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]

[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]

r = 100 × 0.1 = 10%

r = 10%

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]

[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]

[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]

The principal = Rs. 26,000

The compound interest in 3 years is therefore;

[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]

The difference, 'd', between the principal and the compound interest in three years, is given as follows;

d = P - CI₃

d = 26,600 - 8606 = 17994

The difference between the principal and the compound interest in three years, d = Rs 17,994.

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

The value of x = 70 degrees, and the measure red arc of 110 degrees,

In the case when (2x - 30) degrees  and x degrees are given.

Since

x + (2x - 30) = 180

3x - 30 = 180

3x = 210

x = 70

Now

= 2(70) - 30

= 140 - 30

= 110 degrees

hence, The value of x = 70 degrees, and the measure red arc of 110 degrees

Learn more about arc here: https://brainly.com/question/24494304

Answer:

8 2/3 per mile

Step-by-step explanation:

130 / 15 = 8 2/3

Hope that helps!

Answer:

The first option.

Step-by-step explanation:

Answer:

-4.5

Step-by-step explanation:

M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .

Hope this helps :))

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 30² = 50²

x² + 900 = 2500 ( subtract 900 from both sides )

x² = 1600 ( take the square root of both sides )

x = [tex]\sqrt{1600}[/tex] = 40 → B

Answer:

They are all circles? I dont really know how to explain it so that is all I got to say

Step-by-step explanation:

Answer:A perimeter is the sides of a shape added together.

Step-by-step explanation:

Answer:

The perimeter of a rectangle is the total length of all the sides of the rectangle.

Step-by-step explanation:

The perimeter of a rectangle is the total length of all the sides of the rectangle. We can find the perimeter by adding all four sides of a rectangle. Since opposite sides of a rectangle are always equal, we need to find the dimensions of only two sides to find the perimeter of a rectangle.

If you have a 2 inches by 4 inches rectangle, you would have 2 inches + 4 inches + 2 inches + 4 inches = 12 inches

Answer:

B. The population is declining at a rate of 11.5%

Step-by-step explanation:

if your graph the equation you will clearly see that it is declining and if you don't know how to graph the equation then go to the demos calculator, its an app & website, super easy to use. most people would assume the answer would be one of the 88.5% just because it's in the original equation but the .885 in the equation doesn't represent the rate of change there for the answer is 11.5%.

200 x 0.87 = 174

She answered 174 questions correctly.

Answer:

Chloe answered 174 problems correctly.

Explanation:

To find percentage, you would multiply the percentages decimal to the total.

0.87x200=174

Answer:

m = -2

Step-by-step explanation:

To get the slope of the line, we are going to use the 2-points slope equation form

That will be;

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

(x1,y1) = (-5,11)

(x2,y2) = (8,-15)

m = (-15-11)/(8-(-5)) = -26/13 = -2

The possible mistake she might have made is placing the x-values difference over the y and her formula will look like;

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

It is an error of switching the numerator for the denominator

Answer:

-22

Step-by-step explanation:

-8-(12)+(-2)

-8-12-2

-20-2

-22

HOPE THIS HELPS!

Step-by-step explanation:

i think it is sponge Bob square pants

Answer:

scale factor is: 2.25

Step-by-step explanation:

Answer:

393 + 39√6

Step-by-step explanation:

√639 + (393)

Simplify

393 + 39√6 (Answer)

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Answer:

Side b = 10.2 m (1 d.p.)

Step-by-step explanation:

11² = 121

15² = 225

225 - 121 = 104

√104 = 10.2 (1 d.p.)  

Side b = 10.2m

(Full answer = 10.198039)

11² + 10.2² = 15²

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.

Answer:

+735 feets

Step-by-step explanation:

Points or position above sea level are denoted with positive elevation values while points or positions below sea level are denoted by negative values. The sea level position itself could be viewed as a midpoint such as the position of 0 on a number line ; where distances to the right are positive and distances to the left are negative.

Hence, a point which is said to be 735 feets above sea level would have an equivalent numeric representation of +735 feets

Answer:

49.12?

Step-by-step explanation:

half circle= 4 squared *3.14/2=25.12

triangle=pythagorean theorem to find h=8. 8*6/2= 24

25.12+24=49.12

Answer:

a

Step-by-step explanation:

 39+61 is the only pair that make 100.

Answer:

the answer is b hope this helps :)

Answer:

the amount of cupcakes

Step-by-step explanation:

you said the amount of cupcakes can be represented by

Answer:

20 pounds of Gummyballs and 5 pounds of caramel was ordered

Step-by-step explanation:

Let :

Gummyball = a

Caramel = b

a + b = 25 - - - (1)

5a + 8b = 140 - - - (2)

From (1)

a = 25 - b

Put into (2)

5(25 - b) + 8b = 140

125 - 5b + 8b = 140

125 + 3b = 140

3b = 15

b = 5

From a = 25 - b

a = 25 - 5

a = 20

Hence,

20 pounds of Gummyballs and 5 pounds of caramel was ordered

Answer:

Perimeter of ΔDBC = 48 units

Step-by-step explanation:

It's given in he question,

ΔABD ~ ΔDBC

Therefore, by the definition of similar triangles,

Corresponding sides of both the triangle will be proportional.

[tex]\frac{AB}{DB}= \frac{BD}{BC}= \frac{AD}{DC}[/tex]

[tex]\frac{9}{12}= \frac{12}{16}= \frac{AD}{DC}[/tex]

[tex]\frac{3}{4}=\frac{AD}{DC}[/tex]

AD = [tex]\frac{3}{4}DC[/tex] ----------(1)

Since, perimeter of ΔABD = 36,

AB + BD + AD = 36

9 + 12 + AD = 36

AD = 36 - 21

AD = 15

From equation (1),

15 = [tex]\frac{3}{4}(DC)[/tex]

DC = 20

Perimeter of ΔDBC = DB + BC + DC

                                = 12 + 16 + 20

                                = 48

Therefore, perimeter of ΔDBC = 48 units is the answer.

Step-by-step explanation:

3x-4x>2+7

-x>9

x>-9

Plz mark me as a brainlist

Answer:

a=60

Step-by-step explanation:

all you do is add 90+135+75 which is 300

then subtract 300 from 360, which is 60

360-(90+135+75)=60

Answer:

44.1mm

Step-by-step explanation:

Given

Total solution of acis nad water = 329mm

Percentage that is acid = 13.4%

Amount that is acid = 13.4% of 329

Amount that is acid = = 13.4/100 * 329

Amount that is acid = 13.4*3.29

Amount that is acid = 44.086

Hence the amount of acids there is 44.1mm

Answer:

the answer is the M

Step-by-step explanation:

angle A and M both have 2 arcs which means they are congruent(equal)

Step-by-step explanation:

there is 1 term

9th degree or degree =9