find the sum of the first seven terms -3,3,-3,3.
Show your work.

Given info:

Compound Interest = Rs.1290

Rate of Interest = 15% p.a

Time = 2 years

[tex] \dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}[/tex]

Where

C.I = Compound Interest

P = Principle

R = Rate of Interest

N = Time

[tex]\textsf{ \underline{Solution-}}\\[/tex]

Here

C.I = Rs.1290

R = 15%

N = 2 years

Principle = ?

Now,Calculating the sum (Principle) borrowed by Rachna

[tex] \quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}[/tex]

Substituting the given values

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = P \times {0.3225}}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}[/tex]

[tex]\quad{: \implies{\sf{Rs.4000 = P}}}[/tex]

[tex]\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Hence,

The sum (Principle) is Rs.4000.

Answer:

Amal and Ji rent the same amount of per hour but Amal had a starting fee of $75

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the x-intercept, set y = 0 and solve for x.

-2x + 3y - 4 = 0

-2x + 3(0) - 4 = 0

-2x + 0 - 4 = 0

-2x - 4 = 0

-2x = 4

 x =  4/-2

  x = -2                    The x-intercept is -2

To find the y-intercept, set x = 0 and solve for y.

-2x + 3y - 4 = 0

-2(0) + 3y - 4 = 0

0 + 3y - 4 = 0

     3y - 4 = 0

     3y = 4

       y = 4/3           The y-intercept is 4/3

Step-by-step explanation:

the answer is in the image above

Answer:

Angle of elevation= 180- (20- 55)

180- 75

105°

Answer:

8.6 meters

Step-by-step explanation:

a² + b² = c²    means        leg² + leg² = hypotenuse ²

5² + 7² = hypotenuse²

25 + 49 = hypotenuse²

74 = hypotenuse ²

[tex]\sqrt{74}[/tex] = hypotenuse

8.6 = hypotenuse

D.

because the number have 3

Step-by-step explanation:

A+B+C = 30

A = 4C

B = A+3

=> 4C+4C+3+C = 30

9C + 3 = 30

9C = 30-3

9C = 27

C = 3

Therefore, the age of Cindy is 3 years old

(option D)

Answer:

b

Step-by-step explanation:

edge2020

Answer:

.440

Step-by-step explanation:

Based on the number of people in the 30 - 39 age group, the probability of picking one who prefers Pretty Pink is 0.440.

This can be found as:

= Number of 30 - 39 year olds who preferred Pretty Pink / Total number of 30 - 39 year olds surveyed

Solving gives:

= 22 / (28 + 22)

= 22 / 50

= 0.440

Find out more on probability at https://brainly.com/question/24277936.

#SPJ6

Answer:

-1

---------------------

Answer:

2nd power is 121

3rd power is 1331

Step-by-step explanation:

LOL

Answer:

6

Step-by-step explanation:

why because when you work this out 6,957÷7 your answer will be 993.8571...

so you take the hole number of the decimal and multiply it by 7 the answer should be subtracted from 6,957

Answer:

x = 19

y = 10

Step-by-step explanation:

3x - 5y - 7 = 0

x = 2k - 1

y = k

3x - 5y = 7

x = 2y - 1

3 * (2y - 1) - 5y = 7

6y - 3 - 5y = 7

6y - 5y = 10

y = 10

x = 2 * 10 - 1

x = 19

Answer:

y = 4

Step-by-step explanation:

The three lines means those segments are equal

4y+8 = 24

Subtract 8 from each side

4y+8-8 = 24-8

4y = 16

Divide each side by 4

4y/4 = 16/4

y = 4

Answer:

x < - 4

Step-by-step explanation:

- 5 - 3x > 2(10 + 2x) + 3 ← distribute parenthesis and simplify right side

- 5 - 3x > 20 + 4x + 3

- 5 - 3x > 4x + 23 ( add 3x to both sides )

- 5 > 7x + 23 ( subtract 23 from both sides )

- 28 > 7x ( divide both sides by 7 )

- 4 > x , that is

x < - 4

Answer:

The x-intercept is 8.

Step-by-step explanation:

To find the x-intercept, set y = 0 and solve for x

x + 4y = 8

x + 4(0) = 8

x + 0 = 8

x = 8                        The x-intercept is 8

Answer:

20

40

60

80

Step-by-step explanation:

The ratios have to be equal so:

1/3 = x/60 Then use cross multiplication

3x = 60

x = 20

Second one

1/3 = x/120

3x = 120

x = 40

Third One

1/3 = x/180

3x = 180

x = 60

Fourth One

1/3 = x/240

3x = 240

x = 80

Answer:

300.104

Step-by-step explanation:

3x100=300

1x(1/10)=0.1

4x(1/1,000)=0.004

300+0.1+0.004=300.104

Answer:

[tex]x=36[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.

Therefore, [tex]x = 36[/tex].

To check your answer, apply 36 to where [tex]x[/tex] is.

[tex]33=\frac{36}{2} +15[/tex]

⇒ [tex]33=18+15[/tex]

[tex]18+15=33[/tex]    ☑

Answer:

[tex]\boxed{\sf x=36}[/tex]

Step-by-step explanation:

[tex]\sf 33=\cfrac{x}{2}+15[/tex]

[tex]\boxed {\sf Multiply\: both \:sides \:by \:2}[/tex]

[tex]\sf 66=x+30[/tex]

Swap sides so that all the variable terms are on the left hand side:

[tex]\sf x+30=66[/tex]

[tex]\boxed{\sf Subtract \:30\: from \:both \:sides}[/tex]

[tex]\sf x=66-30[/tex]

[tex]\boxed{\sf Subtract \: 30\: from \:66}[/tex]

[tex]\sf x=36[/tex]

_________________________

Answer:

You will need 32 ounces

Step-by-step explanation:

2 pounds x 16 = 32 ounces

300 cal / 3 oz = x / 32 oz

(300 * 32) / 3 = 3,200 calories

Answer:divided the total buy 9 and if I’m reading correctly the total is two

Step-by-step explanation:

Answer:

18.......................

Answer:

area of trapezium:

a+b divided by 2, times by the height.

so its 8+20=28.

28/2=14.

14*14=196.

area=196

Step-by-step explanation:

Answer:

3w + x/z + y

That is simplest form

The function is increasing where the slope is positive. The slope is positive from 4 to infinity.

Hope this helps!! :)

Answer:

2:4

3:6

4:8

Step-by-step explanation:

Answer:

(x + 2) (x - 2)

Step-by-step explanation:

Given the quadratic expression,  x² - 4:

Use the Difference of squares factoring formula:

u² - v² = (u + v)(u - v)

Determine what are possible factors that could have a product of -4:

Since -2 × 2 = -4, these can be used as factors.

Therefore, the factors of the quadratic expression, x² - 4 are:

(x + 2) (x - 2)

Answer:

1. True

2. False

3. False

4. True

5. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1-  False

2- true

3- false

4- true

5-  true

Answer:

£22.8

Step-by-step explanation:

Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid.

First, find

40% of £38

=£15.2

Then, find the price of which he sold the video game for...

£38 – £15.2

= £22.8

Hope this helped you- have a good day bro cya)