B^-2 / b^-3 = b^(-2-(-3) = b^1 = b
answer is d
The exponential function models the value v of the car after t years is V = 27000 * (0.93)^t
<h3>How to determine the exponential model?</h3>
The given parameters are:
Initial value, a = $27,000
Depreciation rate, r = 7%
The value of the car is then calculated as:
V = a * (1 -r)^t
Substitute known values
V = 27000 * (1 - 7%)^t
Evaluate the difference
V = 27000 * (0.93)^t
Hence, the exponential function models the value v of the car after t years is V = 27000 * (0.93)^t
Read more about exponential function at:
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Given:
- Bought n items of product A at 1/5 rs each
- bought n items of product B at 1/4 rs each
He mixed the two items and sold each at 2/9 rs each.
He lost 3 rs in the above batch of articles.
Solution:
revenue = 2n* (2/9) rs = 4n/9 rs
cost = n/5+n/4 rs = n(1/5+1/4)
Profit = revenue-cost = 4n/9-n(1/5+1/4) = -3 rs
Solve for n
4n/9-n(1/5+1/4) = -3
factor out n
n(4/9-1/5-1/4)=-3
n(80-36-45)/180=-3
-n/180=-3
n=3*180=540
Total number of products bought
= n+n = 540+540 = 1080
Answer:
y+2 = 2(x+2)
Step-by-step explanation:
given point (a,b) and slope m, point slope form of a line is:
y-b = m(x-a)
Answer:
30.11 meters ( approx )
Step-by-step explanation:
Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )
Given,
Point A is 8.20 m above level ground,
So, the height of the building = ( x + 8.20 ) meters,
Now, 1 degree = 60 minutes,
⇒ 
By the below diagram,
Now, again by the below diagram,
Hence, the height of the building = x + 8.20 = 30.11 meters (approx)
