Answer:
0.28 yr
Step-by-step explanation:
To find the doubling time with continuous compounding, we should look at the formula:

FV = future value, and
PV = present value
If FV is twice the PV, we can calculate the doubling time, t

1. Samuel's doubling time

2. Claire's doubling time

3. Samuel's doubling time vs Claire's
12.603 - 12.323 = 0.28 yr
It would take 0.28 yr longer for Samuel's money to double than Claire's.
Answer:
Tyler didn't make any mistake
This is correct method
The second one, 7 < x < 13
Answer:
1. 4 nights
2. $154
Step-by-step explanation:
1. The airfare is a fixed cost, and the cost of staying at the hotel for n nights is 98 * n. So, we add this up: 478 + 93n. This cost can be <em>no more than</em> 850 because that's Jenna's budget limit. So, we have:
478 + 93n ≤ 850
Subtract 478 from both sides:
93n ≤ 372
Divide by 93:
n ≤ 4
The maximum number of nights is 4 nights.
2. Abigail currently has $45 and she needs m more dollars in order to achieve her goal of <em>at least</em> $199. Seeing "at least", we know that we need to use the ≥ sign:
45 + m ≥ 199
Subtract 45 from both sides:
m ≥ 154
Abigail still needs at least $154.
Hope this helps!
Answer:
95k
Step-by-step explanation:
Given :
15 words or less = 50k
Every word above 15 = additional 3k
The cost of 30 words :
First 15 words = 50 k
Number of additional words = (30 - 15) = 15 words
Cost of every additional word = 3 k
Cost of 15 additional word = 15 * 3 = 45k
Total cost of 30 words :
50k + 45k = 95k