Answer:

Step-by-step explanation:
Let the time flown by the flying carpet be
. Then, we have that
.
We multiply both sides of the equation by
to get
.
We subtract
from both sides to get
.
We divide both sides of the equation by
.
We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.
The speed with wind is
mph.
The speed against wind is
mph.
The speed in still wind is
.
Therefore, the answer is
and we're done!
Answer:
13.86
Step-by-step explanation:
formula for cont. compounding interest is
Amount = Principal * e^rt
in this case the principal is 5000, and the amount is 10000 (double). the rate is 5% or 0.05. and t is what we are solving for.
sub in to get:
10000 = 5000e^0.05t
2 = e^0.05t
now convert to log form.
ln 2 = 0.05t
ln 2 / 0.05 = t
punch that into your calculator and you get 13.86 years
Answer:
Ashley
Step-by-step explanation:
Ashley:
12n (n=5) = 60+2u (u=10)=80
4 quarters equal a dollar
$1.80
Beto:
10n (n=5)= 50+ 4u (u=10) = 90
3 quarters equal .75
$1.65
Answer:
Step-by-step explanation:
20/100 * 5,120 = 1024
Number of cases in 2013 = 1024 + 5120 = 6,144 cases