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 =
Answer:
Discount Price-12.76
NEw Price-29.78
Step-by-step explanation:
Answer:
A can't be angles of a trianlge
Step-by-step explanation:
The sum of the measuments of a triangle is 180°
60° + 60° + 61° = 181°, so this can't be a triangle
Answer:
$1,131.20 is the amount earned
Step-by-step explanation:
<u>Key skills needed: Simple Interest Formula, Operations ( +, - , x , / )</u>
1) To understand this problem, you need to know the simple interest formula.
A = P(1+rt)
A is the amount
P is the principal
R is the interest rate as a decimal
T is the time in years
2) The 1st thing we need to do is convert the interest rate into a decimal. We have 14%. To convert into decimal form, we divide it by a 100, or move the decimal 2 places to the left. This is 0.14 --> So r=0.14
3) Next we use the formula:
A = 1,010(1+ 0.14(8))
- We first do 0.14(8) which is 1.12 and then add it to the 1 value, so you will get --> A = 1,010(2.12)
- Multiply and you will get A = $2,141.20
- To find the interest earned, you subtract this by the original amount, so $2,141.20 - $1,010 which would be $1,131.20
This means $1,131.20 is your answer.
<em>Hope you understood and have a nice day!! :D</em>
Hi there!
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I believe your answer is:
The square root of 5 () is irrational.
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Here’s why:
- A <em>rational number</em> is a number that can be rewritten as <u>a fraction of two integers with a </u><u>nonzero </u><u>denominator</u>.
- <em>Rational numbers </em>include<em><u> integers, fractions, terminating decimal, or repeating decimals.</u></em>
- A <u>square root that is perfect would be rational</u>. A <u>non-perfect square root is irrational</u>.
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Since <em>the square root of 5 is not a perfect square</em>, it would be irrational.
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Hope this helps you. I apologize if it’s incorrect.