Answer:
3
Step-by-step explanation:
lim(t→∞) [t ln(1 + 3/t) ]
If we evaluate the limit, we get:
∞ ln(1 + 3/∞)
∞ ln(1 + 0)
∞ 0
This is undetermined. To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.
lim(t→∞) [t ln(1 + 3/t) ]
lim(t→∞) [ln(1 + 3/t) / (1/t)]
This evaluates to 0/0. We can simplify a little with u substitution:
lim(u→0) [ln(1 + 3u) / u]
Applying L'Hopital's rule:
lim(u→0) [1/(1 + 3u) × 3 / 1]
lim(u→0) [3 / (1 + 3u)]
3 / (1 + 0)
3
Answer:
x=9 Hope this helps :)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3x from both sides.
Step 3: Subtract 6 from both sides.
Step 4: Multiply both sides by 3/(-8).
And you get x=9
Answer:
The ordered pair of P'=(-8.75, 5.25)
Step-by-step explanation:
To get the ordered pair of point P' you simply have to multiply the coordinates of P by scale factor of 7/4
P:(-5,3)
P'(x,y)= (-5* 7/4, 3*7/4)
P'(x,y) = (-35/4 , 21/4)
P'(x,y) = (-8.75, 5.25)..
Thus the ordered pair of P'=(-8.75, 5.25)....
Answer:
$165
Step-by-step explanation:
x = weeks
11 = amount put in per week
11 x 15
165
