hosteenimport21
27.06.2020 •
Mathematics
A new car is purchased for 18500 dollars. The value of the car depreciates at 10.75% per year. To the nearest year, how long will it be until the value of the car is 5000 dollars?
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Ответ:
11.5 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential decay function:
A = P (1 -r)^ t
Where:
p = original value
r = depreciation rate (decimal form) = 10.75 /100= 0.1075
t= years
A = value after t years
Replacing with the values given:
5000 = 18500 (1- 0.1075)^t
Solving for t:
5000/18500 = (1- 0.1075)^t
0.27027027 = 0.8925 ^t
ln 0.27027027= ln 0.8925 ^t
ln 0.27027027=t ( ln 0.8925)
ln 0.27027027/ ln 0.8925 =t
11.5 years =t
Feel free to ask for more if needed or if you did not understand something.
Ответ:
perimeter = 4(s+3) inches
Explanation:
We are given that the side length of the square is s+3 inches
In a square, all sides are equal. This means that all four sides are s+3 inches
Now, to get the perimeter, we would add all four sides as follows:
perimeter = s+3+s+3+s+3+s+3 = 4s + 12 inches
For a square, since all sides are equal, we can simply get the perimeter by multiplying the side length by 4 as follows:
perimeter = 4(s+3) inches
Hope this helps :)