Answer:
f(x)=3^x plot = see attachment
Step-by-step explanation:
Helen bought a four-unit apartment building for $561,000. The property lost value at a rate of 4.1% per year. Helen rented out e
2 answers:
Answer:
Option B.
Step-by-step explanation:
Helen bought a four-unit apartment building for $561,000. The property lost value at a rate of 4.1% per year.
where, a is initial value, r is decreasing rate and t is time in years.
The value of building after 8 years is
Diminishing value = Initial value - Value after 8 years
= 561,000 - 401,339
= 159,661
Helen rented out each unit for $530 per month, and paid $11,200 per year in upkeep costs.
Total rent of 4 units for 8 years =
Total upkeep cost for 8 years =
Total earning = Total rent of 4 units for 8 years - Total upkeep cost for 8 years
= 203520 - 89600
= 113920
Profit = Total earning - Diminishing value
= 113920 - 159661
= -45,741
Round the answer to the nearest hundred dollars.
Profit = -45,700
Negative sign represent the loss. It means Helen’s total loss is $45,700.
Therefore, the correct option is B.
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well, the radius will be the distance from the center to any point on the circle, it just so happen that we know -7, -5 is on it, thus
![\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -1 &,& -3~) % (c,d) &&(~ -7 &,& -5~) \end{array} \\\\\\ d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ r=\sqrt{[-7-(-1)]^2+[-5-(-3)]^2}\implies r=\sqrt{(-7+1)^2+(-5+3)^2} \\\\\\ r=\sqrt{36+4}\implies r=\sqrt{40}\\\\ -------------------------------](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7Bccccccccc%7D%0A%26%26x_1%26%26y_1%26%26x_2%26%26y_2%5C%5C%0A%25%20%20%28a%2Cb%29%0A%26%26%28~%20-1%20%26%2C%26%20-3~%29%20%0A%25%20%20%28c%2Cd%29%0A%26%26%28~%20-7%20%26%2C%26%20-5~%29%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0Ad%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0Ar%3D%5Csqrt%7B%5B-7-%28-1%29%5D%5E2%2B%5B-5-%28-3%29%5D%5E2%7D%5Cimplies%20r%3D%5Csqrt%7B%28-7%2B1%29%5E2%2B%28-5%2B3%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0Ar%3D%5Csqrt%7B36%2B4%7D%5Cimplies%20r%3D%5Csqrt%7B40%7D%5C%5C%5C%5C%0A-------------------------------)
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well, the radius will be the distance from the center to any point on the circle, it just so happen that we know -7, -5 is on it, thus