The answer is: t<span>he triangles are not similar.</span>
Answer:
There are 6,296 children at the carnival
Step-by-step explanation:
The number of each group of people can be expressed as;
Number of boys (b)+number of adults (a)=7,052
b+a=7,052....equation 1
Number of girls (g)=Number of adults (a)-756
g=a-756....equation 2
But Number of girls (g)=number of boys (b)
Replacing the value of b in equation 1 with that of g in equation 2;
(a-756)+a=7,052
a+a=7,052+756
2 a=7,808
a=7,808/2
a=3,904
Replace the value of a in equation 2 with 3,904
g=3,904-756
g=3,148
But since g=b
g=b=3,148
b=3,148
Total number of children=Total number of boys (b)+total number of girls (g)
Total number of children=b+g
where;
b=3,148
g=3,148
replacing;
Total number of children=(3,148+3,148)=6,296
There are 6,296 children at the carnival
Answer:
[4, -1]
Step-by-step explanation:
Using the Elimination Method:
3x + y = 11
5x - y = 21
__________
8x = 32
__ ___
8 8
x = 4 [Plug this back into both equations to get the y-coordinate of -1]; -1 = y
The <em>y</em>'s are already <em>additive</em><em> </em><em>inverses</em><em> </em>[result in 0], canceling each other out.
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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%
