Answer:
The statement in the question is wrong. The series actually diverges.
Step-by-step explanation:
We compute

Therefore, by the series divergence test, the series
diverges.
EDIT: To VectorFundament120, if
is a sequence, both
and
are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.
Amount of Interest (I) = P * R * T /100
I = 1675 * 4.6 * 4 /100
I = 308.20
Balance = Initial amount + Interest amount
B = 1675 + 308.20 = 1983.20
In short, Your Answer would be $1983.20
Hope this helps!
Answer: They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
For these two lines to be perpendicular, their slopes have to be negative reciprocals.
Slope of FG.
F = (-4, 1)
G = (0, -2)
= (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 1) / (0 + 4)
= -3/4
Slope of HJ
J = (0 , 4)
H = (-4, -2)
Slope = (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 4) / (-4 -0)
= 6/4
= 3/2
<em>The slopes of these lines are not negative reciprocals so these lines are not perpendicular. </em>
Answer:
35°
Step-by-step explanation:
By the property of intersecting secants outside of a circle.
Given expression :
.
We need to apply power property of logs to rewrite it.
According to log rule of exponents:

If we compare given expression with the rule the exponent part is f, base is 6.
Therefore, we need to bring exponent f in front of log.
Therefore,
.
<h3>And correct option is second option

</h3>