Mathematics, 27.06.2019 03:00 nees123

Rosalyn is planning to sell her apartment complex. ten years ago, she bought the eight-room complex for $420,000. the building has gained 2.2% in value every year since she bought it. she charges a monthly rent of $720 for each room, and pays $22,900 per year in upkeep costs. if rosalyn has kept all of the rooms occupied continuously since she bought it, to the nearest hundred dollars, how much profit will she have made in total when she sells it? a. $770,400 b. $554,600 c. $564,300 d. $492,300

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Answer from: sammysosa121832

c. $564,300

Step-by-step explanation:

We have been given that ten years ago, Rosalyn bought the eight-room complex for $420,000. The building has gained 2.2% in value every year since she bought it.

Since the value of building in increasing exponentially, so we will use use an exponential function to represent value of building after x years.

y=a*b^x , where,

a= Initial value of function.

b= For growth function b is in form (1+r), where r represents rate in decimal form.

$2.2\%=\frac{2.2}{100}=0.022$

Upon substituting our given values in exponential function form we will get the value of building (y), after x years as:

$y=420000\cdot (1+0.022)^x$

$y=420000\cdot (1.022)^x$

Upon substituting x=10, we will get value of building after 10 years.

$y=420000\cdot (1.022)^{10}$

$y=420000\cdot 1.2431082765868483$

y=522105.476166476286

Let us find rent earned by Rosalyn in 1 month from 8 rooms at $720 per month.

$\text{Earnings from rent of 8 rooms in 1 month}=720\times 8$

$\text{Earnings from rent of 8 rooms in 1 month}=5760$

1 year = 12 months.

10 years = 12*10 months = 120 months.

$\text{Earnings from rent in 10 years}=5760\times 120$

$\text{Earnings from rent in 10 years}=691200$

Now let us find upkeep costs of building for 10 years by multiplying 22900 by 10.

$\text{Upkeep costs for 10 years}=22900\times 10$

$\text{Upkeep costs for 10 years}=229000$

Now to find the profit that Rosalyn will make from selling building we will add the value of building after 10 years to earnings from rent in 10 years and will subtract the cost of building and upkeep costs.

$\text{Rosalyn's profit}=522,105.476166476286+691,200-(420,000+229,000)$

$\text{Rosalyn's profit}=1,213,305.476166476286-649,000$

$\text{Rosalyn's profit}=564,305.476166476286$

Upon rounding our answer to nearest hundred dollars we will get,

$\text{Rosalyn's profit}\approx 564,300$

Therefore, Rosalyn will have made a profit of $564,300, when she sells the building after 10 years and option c is the correct choice.

Answer from: Quest

Idon’t know what the answer is i wish i could

Answer from: Quest

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

$\frac{ab}{bc} =\frac{ad}{ab}$

now, we can cross multiply

and we get

$ab\timesab=ad\times bc$

$ab^2=ad\times bc$

so, this could be step to prove it

Seth is using the figure shown below to prove pythagorean theorem using triangle similarity: in the

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