Answer:
16896
Step-by-step explanation:
3×1×11×512
=16896
Answer: Her total savings are equal to $11,000.
Step-by-step explanation:
Hi, to answer this question we have to write an equation.
The total savings (x) multiplied by the percentage in bonds (in decimal form) must be equal to $2,200.
Mathematically speaking:
x (20/100) = 2,200
Solving for x:
x = 2,200/ 0.2
x = $11,000
Her total savings are equal to $11,000.
Feel free to ask for more if needed or if you did not understand something.
Answer: The required solution is
Step-by-step explanation: We are given to solve the following differential equation :
Let us consider that
be an auxiliary solution of equation (i).
Then, we have
Substituting these values in equation (i), we get
![m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.](https://tex.z-dn.net/?f=m%5E2e%5E%7Bmt%7D%2B10me%5E%7Bmt%7D%2B25e%5E%7Bmt%7D%3D0%5C%5C%5C%5C%5CRightarrow%20%28m%5E2%2B10y%2B25%29e%5E%7Bmt%7D%3D0%5C%5C%5C%5C%5CRightarrow%20m%5E2%2B10m%2B25%3D0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%5B%5Ctextup%7Bsince%20%7De%5E%7Bmt%7D%5Cneq0%5D%5C%5C%5C%5C%5CRightarrow%20m%5E2%2B2%5Ctimes%20m%5Ctimes5%2B5%5E2%3D0%5C%5C%5C%5C%5CRightarrow%20%28m%2B5%29%5E2%3D0%5C%5C%5C%5C%5CRightarrow%20m%3D-5%2C-5.)
So, the general solution of the given equation is
Differentiating with respect to t, we get
According to the given conditions, we have
and
Thus, the required solution is
Answer:
9/40
Step-by-step explanation:
Captain Jessica shoots first. This means her ship has not already been hit, which means she has a 2/5 chance of hitting the pirate ship. This also means she has a 1-2/5 = 3/5 chance of missing the pirate ship.
Since Captain Jessica misses, dread pirate Ishaan has a 3/8 chance of hitting the captain's ship. This means he has a
3/5(3/8) = 9/40 chance of the captain missing the pirate and the pirate hitting the captain.
