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%
So use pythagorean theorem to find the straight distance between hhouses
legs are 6 and 8
a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
squrer root both sides
10=c
the distance=10 miles
Answer:
Tom’s age is 7 years
Mary’s age is 13 years
Step-by-step explanation:
Since we do not know the ages, let’s represent the ages by variables at first.
Let m represent mary’s age will t represent Tom’s age.
Now, let’s proceed to have equations.
Adding square of Tom’s age (t^2) to mary’s age give 62
t^2 + m = 62 •••••••(i)
Adding square of mary’s age (m^2) to Tom’s age give 176
m^2 + t = 176 •••••••(ii)
Now, to get the individual ages, we will need to solve both equations simultaneously.
Solving both equations simultaneously without mathematical softwares can be a little hard.
By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.
By inputing these equations, we have the values of t to be 7 and m to be 13
And if we try to check by inspection, we can see that these values are actually correct.
7^2 + 13 = 62
13^2 + 7 = 176
On the bottom line, the 106 and number 1 make a straight line and needs to equal 180 degrees.
This means number 1 = 180-106 = 74 degrees.
Because x and y are parallel, the top outside angle is the same as number 1.
6x +8 = 74
Subtract 8 from both sides:
6x = 66
divide both sides by 6:
x = 66 / 6
x = 11
Now you have x, replace x in the equation for 7x-2 to find that angle:
7(11) -2 = 77-2 = 75 degrees.
The three inside angles need to equal 180 degrees.
Angle 2 = 180 - 74 - 75 = 31 degrees.
