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gayaneshka [121]
2 years ago
13

The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is

Mathematics
1 answer:
Annette [7]2 years ago
8 0

Answer:

  B.  97.2

Step-by-step explanation:

The sequence of positive terms is ...

  54, 24, 10 2/3, 4 20/27, ...

This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...

  S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)

  S = 97.2

The sum of the positive terms in the infinite series is 97.2.

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) Sarah donated one-tenth of her salary to an orphanage, one-third of her salary is spent on food, one-fourth of salary on rent
AleksAgata [21]

Answer:

₹ 4000

Step-by-step explanation:

Sarah's salary =₹ 30000

  • one-tenth of her salary to an orphanage= 1/10*₹ 30000= ₹ 3000
  • one-third of her salary is spent on food= 1/3*₹ 30000= ₹ 10000
  • one-fourth of salary on rent and electricity =1/4*₹ 30000= ₹ 7500
  • one-twentieth of her salary on the telephone= 1/12*₹ 30000= ₹ 2500
  • donated some amount to the Prime Minister's relief fund = x
  • She was left with ₹ 3000.

x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000

8 0
3 years ago
compará y ordena de mayor a menor las siguientes cantidades 23.4 ,15/20 ,32.245,.056,4/10,50/100,8/9,.009,9/1000 y 54.45​
nignag [31]

Answer:

El orden de mayor a menor es:

54.45 ; 32.245 ; 23.4 ; 8/9 ; 15/20 ; 50/100 ; 4/10 ; 0.056 ; 9/1000

Step-by-step explanation:

El mayor número será el que tenga el mayor entero, o  si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha,  o si tienen el mismo se observa el siguiente decimal y así sucesivamente.

Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.

Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:

23.4

15/20= 0.75

32.245

0.056

4/10= 0.4

50/100= 0.5

8/9= 0.8888

0.009

9/1000= 0.009

54.45​

Entonces <u><em>el orden de mayor a menor es: </em></u>

<u><em> 54.45 ; 32.245 ; 23.4 ; 8/9 = 0.8888 ; 15/20 = 0.75 ; 50/100 = 0.5 ; 4/10 = 0.4 ; 0.056 ; 9/1000 = 0.009</em></u>

7 0
2 years ago
9x43=9x(40+3)=(9x )+(9x3)= +27=
denis-greek [22]

Answer:

387, or you can do it another way in the problem if you like/.

Step-by-step explanation:

3x9=27

4x9=36

36+2=38

387

8 0
3 years ago
Need It Fast please! =)
Mashcka [7]

Answer:

split the other three in half

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Pls help what’s the slope
kramer

Answer:

The slope of this is -3

Step-by-step explanation:

slope = change in y/ change in x or rise/run!!!

you move 3 down and 1 to the right. So basically -3/1 which can be simplified to -3!!!!

3 0
3 years ago
Read 2 more answers
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