Answer:
t= 12.9 years
Step-by-step explanation:
Value after t years = initial value ( 1 - r )^t
Where,
Value after t years= $5000
Initial value = $22,400
r= depreciation rate = 11%
t= length of time (years)
Value after t years = initial value ( 1 - r )^t
5000 = 22,400 ( 1 - 0.11)^t
5000 = 22,400(0.89)^t
Divide both sides by 22,400
(0.89)^t = 5000 / 22,400
(0.89)^t = 0.2232
Take the log of both sides
t log 0.89 = log 0.2232
t= log 0.2232 / log 0.89
= -0.6513 / -0.0506
= 12.87
t= 12.9 years
Answer:
Step-by-step explanation:
xy = 2y + xy = 0
Hence, 2y + xy = 0 ---------(1)
Differentiating equation (1) n times by Leibnitz theorem, gives:
2y(n) + xy(n) + ny(n - 1) = 0
Let x = 0: 2y(n) + ny(n - 1) = 0
2y(n) = -ny(n - 1)
∴ y(n) = -ny(n - 1)/2 for n ≥ 1
For n = 1: y = 0
For n = 2: y(1) = -y
For n = 3: -3y(2)/2
For n = 4: -2y(3)
Answer:
The correct statement for the given function is:
f(x) is an even function for all even values of m.
Step-by-step explanation:
The correct statement for the given function is:
f(x) is an even function for all even values of m.
The given function(x^m+9)^2 is a quadratic equation. The term Quadratic means the variable gets squared. if m is an even number, that would result also to an even function....
I think that Devon swam at least 35 minutes each day for 5 days because if he exercised 225 minutes and each day he walked for 10 minutes then if you divide 225 by 5 you get 45 so every day he exercised 45 minutes and since he walked for 10 minutes you subtract 10 from 45 which gives you 35 so he swam for 35 minutes.
The refrigerant can hold 1.92 ft³
Step-by-step explanation:
The formula to apply is that of volume
v=π *r²*h where v is volume, r is radius of cylindrical object and h is height of tubing
Finding volume of using outside diameter
v=π*7/16*7/16*12
v=49/64 *3/1 *3.14
v=7.22 ft³
Volume using inside diameter
v=π*r²*h
v=3.14*3/8*3/8*12
v=5.30 ft³
Volume the refrigerant can hold is;
7.22-5.30 = 1.92 ft³
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Volume of a cylindrical object:brainly.com/question/2665971
Keywords :conditioning,system,roll,copper tubing,refrigerant
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