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22.04.2020 •
Mathematics
Katelynn bought a used car and it was 5 years old. She purchased it for 10,250, after two years the Kelly Blue book value for her car is $8,075. Determine how much the car was worth when it was first bought by the original owners and determine what the depreciation rate is. Hint: Remember these are exponential equations of the form y=abx.
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Ответ:
a) rate of depreciation is 11.24%
b) original price of car = $18605.33
Step-by-step explanation:
The formula to apply is;
current price= original price *(1-r)^n where r is the rate of depreciation as a decimal and n is the time period
a) Find the rate of depreciation given that ;
The car was bought at $10,250 when it was 5 years old
After 2 years, the value was $8,075
Apply the formula ;
current price= original price *(1-r)^n
8,075=10,250* (1-r)²
8,075/10250 = (1-r)²
0.78780487804 =(1-r)²
√0.78780487804 =(1-r)
0.88758373016 = 1-r
r=1-0.88758373016
r=0.11241626983 ⇒ 11.24%
b) When the car was first bought, the price was;
Apply the formula;
current price= original price *(1-r)^n
10,250 =original price * (1-0.1124)⁵
10,250=O.P *(0.5509)
10,250/0.5509 = original price
$18605.33= original price
Ответ:
B' has a coordinate pair of (-4, -1)
Step-by-step explanation:
We are given with the vertices of the triangle with B(-8,-2)
Please remember the rule of dilation
If a point (x,y) dilated for the scale factor of 'k', we do get image as (kx,ky)
Using this concept, we know scale factor is
, we could get image as ![(\frac{1}{2} (-8), \frac{1}{2} (-2))](/tpl/images/1232/9808/57c48.png)
Let's simplify it
We do get (-4,-1)