Answer:
Step-by-step explanation:
1) Given figure is a parallelogram
Area = 144 cm²
base * altitude = 144
16 * x = 144
x =144/16
x = 9 cm
2)2) Trapezium
Area =
; {a and b are parallel sides of trapezium}
( 37 +27 /2) * x = 480 cm²
64/2 * h = 480
32 * h = 480
h = 480/32
h = 15 cm
Answer:
75.3074525 dgrees
Step-by-step explanation:
law of sines
29/sin(115 degrees) = 13/sin(B)
==> B = 0.418374736 rad
or 75.3074525 dgrees
Answer:
Deduction in the step-by-step explanation
Step-by-step explanation:
If a P0=50.000 deposit is compound every instant, the ammount in the account can be modeled as:
![P(t) = P_{0}*e^{it}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P_%7B0%7D%2Ae%5E%7Bit%7D)
If you pull out d dollars a year, the equation becomes:
![P(t) = P_{0}*e^{it}-d*t](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P_%7B0%7D%2Ae%5E%7Bit%7D-d%2At)
If we derive this equation in terms of t, we have
![P(t) = P_{0}*e^{it}-d*t\\dP/dt=d(P_{0}*e^{it})/dt-d(d*t)/dt\\dP/dt=i*P_{0}*e^{it}-d\\](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P_%7B0%7D%2Ae%5E%7Bit%7D-d%2At%5C%5CdP%2Fdt%3Dd%28P_%7B0%7D%2Ae%5E%7Bit%7D%29%2Fdt-d%28d%2At%29%2Fdt%5C%5CdP%2Fdt%3Di%2AP_%7B0%7D%2Ae%5E%7Bit%7D-d%5C%5C)
The first term can be transformed like this:
![i*P_{0}*e^{it} = i*P(t)](https://tex.z-dn.net/?f=i%2AP_%7B0%7D%2Ae%5E%7Bit%7D%20%3D%20i%2AP%28t%29)
So replacing in the differential equation, we have
![dP/dt=i*P_{0}*e^{it}-d\\dP/dt=i*P(t)-d](https://tex.z-dn.net/?f=dP%2Fdt%3Di%2AP_%7B0%7D%2Ae%5E%7Bit%7D-d%5C%5CdP%2Fdt%3Di%2AP%28t%29-d)
Rearranging
![dP/dt-i*P(t)=-d](https://tex.z-dn.net/?f=dP%2Fdt-i%2AP%28t%29%3D-d)
See attached image for work.
Answer:
D
Step-by-step explanation:
without knowing anything about the background of the function and what it is used for, I give it the max. possible domain (the set or interval of all possible input values).
and so,
Defined for all m >= 0 and n >= 0.
there is no information provided that would eliminate m = 0 or n = 0.