Given the sequence:
6, 10, 14, 18,...
We will find the 75th term
The given sequence is an arithmetic sequence
Because there is a constant common differnce
d = 18 - 14 = 14 - 10 = 10 - 6 = 4
The first term = a = 6
The general formula of the arithmetic sequence is as follows:

Where: n is the nth term
To find the 75th term, substitute with n = 75 and a = 6, d = 4

So, the answer will be the 75th term = 302
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
-12 + 3x + 2 = 5x - 10 - 8x
-10 + 3x = -3x -10
-10 + 6x = -10
6x = 0
x = 0
Answer:
Parallel: y=-4x-1
Perpendicular: y=-4x+13/2
Step-by-step explanation:
For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:
- If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-7)=-4(x--2)
y-7=-4x-8
y=-4x-1
- If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.
(y-7)=1/4(x--2)
y-7=1/4x-1/2
y=-4x+13/2
Answer:
(−16,16,7)
Step-by-step explanation:
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