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
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So the expression is:

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two

.

The other terms can't be combined.
Your final answer should be

.
To solve this problem you must apply the proccedure shown below:
1. You have that the ellipse given as a vertical major axis (a=13), therefore, taking the ellipse with its center at the origin, you have the following equation:
(y^2/a^2)+(x^2/b^2)=1
2. You have the distance from the center of the ellipse to the focus:
c=12, therefore, you can calculate the value of b, the minor radius:
c^2=a^2-b^2
b=√(13^3-12^2)
b=5
3. Therefore, the equation is:
a^2=169
b^2=25
(y^2/169)+(x^2/25)=1
The answer is: (y^2/169)+(x^2/25)=1
Cost of bag of soil = x-3 where x is the price of a flower pot
41=3x + 5(x-3)
41=3x + 5x -15
41=8x -15
41+15=8x
56=8x
56÷8=x
$7.00=x