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:
Step-by-step explanation:
D. violates the Law of Sines.
Answer:
360 cm^2.
Step-by-step explanation:
Area of the base = 10*10 = 100 cm^2.
We find the slant height of the sides using Pythagoras:
h = sqrt ( 12^2 + 5^2)
h = sqrt 169
h = 13.
Area of the triangular sides = 4 * 1/2 * 10* 13
= 260 cm^2
So the total surface area = 100 + 260
= 360 cm^2.
The solution of the inequality is t<-3. Because -15 divided by 5t is equal to -3
