Answer:
- 5 times
- $22.75
Step-by-step explanation:
1. Let n represent the number of times you can ride. To keep the cost within your budget, you must have ...
2.75n ≤ 15.00
n ≤ 5.45
You can ride 5 times. You don't have enough money to ride 6 times.
__
2. You can choose the correct answer using estimation of the costs. (You only need to work out the numbers in detail if an estimate doesn't get you close enough.)
3 all-day passes are a little more than $20 each, so cost a little more than $60.
2 rides on the Mountain Coaster are another $9, so your total cost will exceed $69. That means you will get less than $31 in change from $100. The only answer choice in that range is $22.75.
If you add up the costs of the passes and rides, you find they come to $77.25, so your change from $100 will be $22.75.
Answer:
i don't know this i think its 3.4 or 1.9
Answer:

Step-by-step explanation:
We are given that

We have to find the value of given logarithms by using change-base formula
Base-change formula:

Where x=New base
Using the formula then, we get

Substitute the values 
Then,we get


Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2