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My name is Ann [436]
3 years ago
5

Farrel accumulated $9,000 in credit card debt. If the interest rate is 4.1% per year and he does not make any payments for a yea

r. How much will he owe on this debt in 9 years by compounding continously?​
Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

$12,921.09

Step-by-step explanation:

1. 9,000*1.041(added 4.1 percent to whole debt)=$9369

2. 9,369*1.041=9,753.13

3. 9,753.13*1.041=10,153.01

4. 10,153.01*1.041=10,569.28

5. 10,569.28*1.041=11,002.62

6. 11,002.62*1.041=11,453.73

7. 11,453.73*1.041=11,923.33

8. 11,923.33*1.041=12,412.19

9. 12,412.19*1.041=12,921.09

$<u>12,921.09</u>

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Somebody help<br> 7x - [4x-3(x-1)]=x+ 12
Georgia [21]

Answer:

Step-by-step explanation:

Simplificando

7x + -1 [4x + -3 (x + -1)] = x + 12

Reordenar los términos:

7x + -1 [4x + -3 (-1 + x)] = x + 12

7x + -1 [4x + (-1 * -3 + x * -3)] = x + 12

7x + -1 [4x + (3 + -3x)] = x + 12

Reordenar los términos:

7x + -1 [3 + 4x + -3x] = x + 12

Combinar términos semejantes: 4x + -3x = 1x

7x + -1 [3 + 1x] = x + 12

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Reordenar los términos:

-3 + 7x + -1x = x + 12

Combinar términos semejantes: 7x + -1x = 6x

-3 + 6x = x + 12

Reordenar los términos:

-3 + 6x = 12 + x

Resolviendo

-3 + 6x = 12 + x

Resolviendo para la variable 'x'.

Mueva todos los términos que contengan x hacia la izquierda, todos los demás términos hacia la derecha.

Agrega '-1x' a cada lado de la ecuación.

-3 + 6x + -1x = 12 + x + -1x

Combinar términos semejantes: 6x + -1x = 5x

-3 + 5x = 12 + x + -1x

Combinar términos semejantes: x + -1x = 0

-3 + 5x = 12 + 0

-3 + 5x = 12

Agrega '3' a cada lado de la ecuación.

-3 + 3 + 5x = 12 + 3

Combinar términos semejantes: -3 + 3 = 0

0 + 5x = 12 + 3

5 veces = 12 + 3

Combinar términos semejantes: 12 + 3 = 15

5 veces = 15

Divida cada lado por '5'.

x = 3

Simplificando

x = 3

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