Answer:
8.5
Step-by-step explanation:
For continuous compounding, the account value formula is ...
A = Pe^(rt)
where P is the invested amount, r is the annual interest rate, and t is the number of years. We want to find t when ...
3550 = 2400e^(.046t)
ln(355/240) = 0.046t
t = ln(355/240)/0.046 ≈ 8.5
It will take 8.5 years for the value to reach $3550.
Step-by-step explanation:
please, be careful when writing the problem definition.
the formula is as I understand it from the definition
S = 93×log(d) + 65
with log being truly the logarithm to the base 10.
so, we have
150 = 93×log(d) + 65
85 = 93×log(d)
log(d) = 85/93
d = 10^(85/93) = 10^(0.913978495...) =
= 8.203109232... ≈ 8.2 miles
the tornado had traveled 8.2 miles.
A=168 ft²
that's the answer hope it helped!<span>
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Answer: £ 81.38
Step-by-step explanation:
Given: On Monday,
5 builders took
hours ( i.e.
hours ) to build a wall.
On Tuesday, only 2 builders were available.
As workers are inversely proportional to the time if the job remains constant.
Inverse variation equation : 
Let x be the time taken by 2 builders, then


So, 2 builders will take 8.75 hours.
Each paid £9.30 for each hour.
Then, each builder will be paid for the work completed on Tuesday = £9.30 x 8.75
≈ £ 81.38
Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .