Answer:
0.16%
Step-by-step explanation:
Cost of rent per quarter = $4000
Cost of rent per year = 4×$4000
= $16,000
This means that the apartment building produces $12,000 per year in gross rents.
Yearly Expenses are as follows;
Maintenance expenses per year = 12×$350 = $4200
Property taxes per year = $1,750
Mortgage payment per year = 12×$650 = $7800
Total expenses per year = sum of all the yearly expenses
= $4200+$1,750+$7800
= $13750
Yearly revenue generated = Cost of rent per year - total yearly expenses
= $16,000-$13750
= $2250 (net operating income)
Capitalization rate is given as the ratio of the net operating income to the market value of the building.
Capitalization rate = net operating income/market value of building
Since the building with $83750, that will be its market value
Cap rate = $13750/$83750
Cap rate = 0.16%
Answer:
radius = 6
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ←r is the radius
x² + y² = 36 ← is in this form
with r² = 36 ⇒ r = 
= 6
Answer:
.34
Step-by-step explanation:
34% = 34/100 = .34
All percents are out of 100
Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
