Answer:
The answer is 36
Step-by-step explanation:
1) Add 30 + 2 and get 32
2) Then you just add 32+4 and get 36
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:
#1 is no solution and #2 is infinitely many solutions
Answer: FALSE. Paul spent $9 on the student discount card.
Step-by-step explanation:
Hi, to answer this question we have to write an equation using the information given:
- <em>Price of the student discount card: x
</em>
- <em>Price of each bus pass: $1.60
</em>
- <em>Number of bus passes bought: 16
</em>
- <em>Total cost: $34.60
</em>
So, we have to multiply the number of bus passes (16) by the cost of each pass (1.60) and adding the cost of the discount card (x). That expression is equal to the total cost (34.60)
Mathematically speaking:
x + 16( 1.60) = 34.60
Solving:
x+ 25.6 =34.60
x= 34.60-25.6
x= 9
So, the answer is FALSE. Paul spent $9 on the student discount card.
