Answer:
thirty-eight
Step-by-step explanation:
31+7= answer
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:
with
.
Now,
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation,
, then the Laplace transform we were searching is
Answer:
After 12 years the investment will be worth $5145.
Step-by-step explanation:
The formula used for compounded interest is:
A = P(1+r/n)^nt
where,
A = future value
P = Principal Amount
r = interest rate
n = no of times interest is compounded
t = time
In the question given:
A=?
P = $2100
r = 7.75% or 0.0775
n = 1
t= 12
A= 2100*(1+0.0775/1)^1*12
A= 2100 *(1+0.0775)^12
A= 2100 *(1.0775)^12
A= 2100 * 2.45
A= 5145
So, after 12 years the investment will be worth $5145.
Answer:
6 seconds
Step-by-step explanation:
Using the information from the problem, if Emily continues to pick 3 strawberries per second while Sophia eats 5 strawberries per second, then the amount of strawberries will decrease at a rate of 2 strawberries per second. Therefore, we can find the answer by subtracting 2 from 20 until we get to 8. Since we subtract 2 six times, the answer is 6. Hope this makes sense!