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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Answer:
x > -3
Step-by-step explanation:
-3x + 6 < 15
-3x < 15 - 6
-3x < 9
-x < 3
x > -3
Answer:
The general equation of a circle is (x – h)2 + (y – k)2 = r2, where (h, k) represents the location of the circle's center, and r represents the length of its radius.
Step-by-step explanation:
Answer:
Dennis paid $82 and Connie paid $46.
Step-by-step explanation:
We can set up an equation by putting in variables, c representing how much Connie paid. Since we know that Dennis paid $36 more, we will also factor that in the equation.
c + c + 36 = 128
Where c + 36 represents the amount Dennis paid, and 128 represents the total amount paid as given in the question. We can start by adding like terms. 2c + 36 = 128
Now, we can subtract 36 from each side,
2c + 36 - 36 = 128 - 36
2c = 92
Divide each side by two,
2c/2 = 92/2
c = 46
Now, to make sure this is correct, let's substitute our c for 46 in our equation:
46 + 46 + 36 = 128
92 + 36 = 128
128 = 128
Therefore, our equation is correct, and Dennis paid $82 while Connie paid $46.
Answer:
-8-(-11)-7
= -8+11-7
= 3-7
= -4
Step-by-step explanation:
