Answer:
Step-by-step explanation:
The given ratio is 2:3.
x₁ = -3, x₂ = 2
We need to find the x-coordinate of the point that will divide segment AB into a 2:3 ratio. The formula is as follows :
Put all the values,
Hence, the correct option is (d).
Answer:
<em>k=2/3</em>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form <em>y/x = k or y = kx</em>
In this problem we have <em>3y = 2x</em>
Isolate the variable y
Divide by 3 both sides
<em>y = 2/3x</em>
Remember that
In a proportional relationship the constant of proportionality k is equal to the slope m of the line
The slope of the line m is
<em>m = 2/3</em>
therefore
The constant of proportionality k is
<em>k = 2/3</em>
<em>I hope this helped have a wonderful day/night ! <3 </em><em>(depends what time it is)</em>
There is no depreciation schedule provided along with your question.
Assuming that the question makes us of the <span>Modified Accelerated Cost Recovery System (MACRS), which provides that </span>the useful life for non-residential real property is 39 years. Depreciation is straight line using the mid-month convention.
The mid-month convention means that the month of acquisition is calculated as half month irrespective of the date of acquisition.
Given that <span>Richard purchased and placed in service an office building costing $753,000, including $134,000 for the land in August 2016, the depreciable part is only the building, hence the depreciable cost is given by:
$753,000 - $134,000 = $619,000
</span>
<span><span>The depreciation charge for each year of the estimated life of the building is given by:
$619,000 / 39 = $15,871.79
</span>The depreciable period in 2016 is 4.5 months (i.e. September, October, November and December with August treated as half month).
</span>Therefore, the <span>amount of depreciation Richard may claim in 2016 is</span> given by:
(4.5 / 12) x $15,871.79 = $5,951.92.
You'll have <span>$634.87 after 6 years at 4% compounded quarterly, thus B:
You'll have </span><span>$3,619.80 after 6 months at 6.75% compounded monthly, thus A:
</span>Formulas where n = 1 (compounded once per period or unit t)
1. Calculate Accrued Amount (Principal + Interest) A = P(1 + r)^t
2. Calculate Principal Amount, solve for P. P = A / (1 + r)^t
4. Calculate the rate of interest in decimal, solve for r. r = (A/P)1/(^t - 1)
5. Calculate rate of interest in percent. ...Calculate time, solve for t.
is the component for state 
, then you have
. So the state vector is 
.