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Mariulka [41]
3 years ago
5

An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar

e $1,750 per year. The mortgage payments are $650 per month. If the building is worth $83,750 what is the cap rate?
Mathematics
1 answer:
erica [24]3 years ago
6 0

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%

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If the angles of a convex octagon are 2x+6,x+13,2x-1,2x+12,2x-17,3x-4,3x-10,4x. then the smallest angle is 21°.

Given The exterior angles of convex octagon are 2x+6,x+13,2x-1,2x+12,2x-17,3x-4,3x-10,4x.

and we have to find the value of smallest angle.

The sum of the  angles of a convex octagon is 360°

so to calculate the smallest angle we need to find out the value of x first and which is calculated by summing up all the exterior angles and put them equal to 360.

(2x+6)+(x+13)+(2x-1)+(2x+12)+(2x-17)+(3x-4)+(3x-10)+4x=360

2x+6+x+13+2x-1+2x+12+2x-17+3x-4+3x-10+4x=360

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19x-1=360

19x=360+1

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Putting the value of x in all the angles and we will find the following:

2x+6=2*19+6=44

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4x=4*19=76

Hence among all the exterior angles the smallest angle is 21°.

Learn more about angles at brainly.com/question/25716982

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2 years ago
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Answer:

The volume of cone z has the same base area as cylinder y but its height is 3 times the height of cylinder y have the same volume.

Step-by-step explanation:

The volume of a cylinder having base area 'A' and height 'H' is given by  V = AH, and the volume of a cone having the same base area as the cylinder i.e. A and height 3 times the height of the cylinder i.e. 3H is given by V' = \frac{1}{3} A(3H) = AH.

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Answer:

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B. A statistical analysis is said to have internal validity if the statistical inferences about causal effects are valid for the population being studied. The analysis is said to have external validity if conclusions can be generalized to other populations and settings.

C. A statistical analysis is said to have internal validity if the statistical inferences about causal effects can only be verified by a few researchers. The analysis is said to have external validity if conclusions can be verified by many researchers.

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