Answer:
a.)Q' = -kQ + r
b.)Q =
c.) Limiting long run value of Q =
Step-by-step explanation:
a.)
The rate of change is directly proportional to the quantity, Q
⇒ ∝ Q
⇒ = -kQ ( because it is decreasing )
Also given, quantity is increasing with a constant rate r
⇒ = -kQ + r
⇒Q' = -kQ + r
b.)
As we have
= -kQ + r
⇒ = dt
⇒∫ = ∫dt
⇒-
⇒log(-kQ + r) = -kt -kC
Taking exponential both side, we get
⇒-kQ + r =
⇒-kQ = -r +
⇒Q = -
⇒Q = -
⇒Q = - .......(1)
Now,
At t = 0, Q = 0
0 = - B
⇒
⇒B = r
∴ equation (1) becomes
Q = -
⇒Q =
c.)
for limiting long run value of Q
=
=
⇒Limiting long run value of Q =
。☆✼★ ━━━━━━━━━━━━━━ ☾
Use the multiplier 1.055
final = original x multiplier^n
where 'n' is the number of years
Sub the values in
final = 700 x 1.055^7
final = 1018.27
Subtract the values:
1018.27 - 700 = 318.27
Thus, he earns more than $275
He earns $43.27 more
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
。☆✼★ ━━━━━━━━━━━━━━ ☾
Answer: The polynomial representing the volume of the package has a degree of 3.
Solution:
The degree of a polynomial is the greatest exponent that has the independent variable "x". In this case is 3:
V=x^3+3x^2+3x+1
Then, the degree of the polynomial is 3.
The sum of the measures of all the interior angles of the pentagon is 540°. Option B
<h3>How to determine the sum</h3>
Note that
Sum of Interior Angles in a Pentagon = 540°
A pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°
If one of the interior angles = 108°, then the other two angles = 2 * 108° = 216°
The sum of the interior angles = 108° + 216° = 540°
Therefore, the sum of the measures of all the interior angles of the pentagon is 540°
Learn more about a pentagon here:
brainly.com/question/4222032
#SPJ1