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Let the number be (10 x + y)
Then, 10 x + y = 3 * (x + y) (given)
Or, 10 x + y = 3 x + 3 y
Or, 10 x - 3 x = 3 y - y
Or, 7x = 2 y
Or, x = 2 y / 7 ( Eq. 1)
Also, 10 x + y + 45 = 10 y + x ( given)
Or, 10 x - x = 10 y - y - 45
Or, 9 x = 9 y - 45 ( Eq. 2)
Substituting the value of x from (Eq. 1) in (Eq. 2), we have:
9 * 2 y / 7 = 9 y - 45
Or, (9 y ) - (18 y / 7) = 45
Or, 63 y - 18 y = 315
Or, 45 y = 315
Or, y = 7
From (Eq. 1),
x = 2 * 7 / 7 = 2
So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27
Answer
Check:
Sum of the digits = 2 + 7 = 9
9 * 3 = 27 ✓
Adding 45 to the number 27, we get 72. So, the digits get reversed.
Given:

To find:
The correct function.
Explanation:
Let us consider the function given in option D.

Differentiating with respect to x we get,

Substituting x = 2 in the function f(x), we get

Therefore, the given conditions are satisfied.
So, the function is,

Final answer: Option D
Answer:
I believe the answer could be c
Answer:
Interes= 162,58
Step-by-step explanation:
Dada la siguiente información:
Se deposita 4000 soles a una tasa de interés del 0,8% quincenas
<u>Primero, debemos calcular el valor final de la inversión:</u>
VF= [VP*( 1 + i)^n]
VF= 4.000*(1,008^5)
VF= 4.162,58
<u>Para calcular el interés ganado en 5 quincenas, debemos usar la siguiente formula:</u>
Interes= 4.162,58 - 4.000
Interes= 162,58