Initial cost = $30,000
Depreciation rate = 2.5%
Depreciation expense per year = 30,000*2.5/100 = $750
In six years,
Depreciation = 6*750 = $4,500
Value of the tractor = Initial cost - Depreciation = $30,000 - $4,500 = $25,500
X + y = 6
x - 6y = -9
Subtract the equations, you get:
y - (-6y) = 6 - (-9)
7y = 15
y = 15/7
x + 15/7 = 6
x + 15/7 = 42/7
x = (42-15)/7
x = 27/15
None of your answer choices are correct, since the solution to the systems of equation is (27/15, 15/7)
Answer: We should expect its actual return in any particular year to be between<u> -40%</u> and<u> 80%</u>.
Step-by-step explanation:
Given : The continuously compounded annual return on a stock is normally distributed with a mean 20% and standard deviation of 30%.
From normal z-table, the z-value corresponds to 95.44 confidence is 2.
Therefore , the interval limits for 95.44 confidence level will be :
Lower limit = Mean -2(Standard deviation) = 20% -2(30%)= 20%-60%=-40%
Upper limit = Mean +2(Standard deviation)=20% +2(30%)= 20%+60%=80%
Hence, we should expect its actual return in any particular year to be between<u> -40%</u> and<u> 80%</u>.
Find the Greatest Common Factor (GCF)
GCF = 7x
Factor out the GCF, (Write the GCF first, then in parenthesis, divide each term by the GCF.)
7x(56xy/7x + 7x/7x)
Simplify each term in parenthesis
<u>= -7x(8y + 1)</u>