Answer:
The equation for the amount of salary after x number of years is given by:
where
a is the initial amount
x represents the number of years and
r represents the growth rate( in decimal)
As per the statement:
You begin your first day as a police officer earning $30,000/yr
⇒ a= 30,000
It is also given that you obtain a full 5% increase each year,
⇒
then;
....[1]
we have to find the salary in three years.
⇒
Substitute this value in [1] we have
Simplify:
therefore, your salary be in three years will be $34,4728.75
Here is something to keep in mind.
when there is a downward slope, the slope will ALWAYS have a negative slope. even if it is above the x-axis. negative slopes will tend to go from positive y-axis to negative y-axis
so personally would have to go with -4
because the x-axis is by 4 each time. and this slope is going downward.
your answer will be D
Answer:
dh/dt = 0,07 ft/min
Step-by-step explanation:
The swimming pool has the shape of right circular cylinder, therefore its volume is
V(c) = π*x²*h
Where x is the radius of the base and h the height
We take differentiation on both sides of the equation to get:
dV/dt = π*x²*dh/dt
The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.
Then:
8 = π*x²*dh/dt
dh/dt = 8 / π*x²
dh/dt = 8/113,04
dh/dt = 0,07 ft/min
11/3 = 3.67
3.67 divided by 4 = 0.92
So, yes. You can have 4 bags with each one having 0.92 pound of trail mix.
Answer:
1/48
Step-by-step explanation:
The probability of both happening is equal to the product of each probability.
P(A and B) = P(A) × P(B)
P = 1/12 × 1/4
P = 1/48
