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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1a) Possible rational roots will be of the form
±{divisor of 10}/{divisor of 4}
Divisors of 10 are {1, 2, 5, 10}
Divisors of 4 are {1, 2, 4}
Then possible rational roots are
{±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10}
1b) Your answer is correct.
2) One additional root will be the conjuate of the given complex root.
5 -3i
3) If one root is 5 -√7, another will be 5 +√7. Then your polynomial is
P(x) = (x -(5 -√7))*(x -(5 +√7)) = (x -5)^2 -(√7)^2
P(x) = x^2 -10x +18
Answer:
m = 10/3
<em>(as a decimal: m = 3.333...)</em>
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Step-by-step explanation:
5m - 8 = 2m + 2
5m - 8 = 2m + 2
- 2m - 2m <em>(make all "m" on one side to isolate variable)</em>
3m - 8 = 2
+ 8 + 8 <em>(get m entirely on 1 side)</em>
3m = 10
÷3 ÷3 <em>(divide by 3 to get 1m)</em>
m = 10/3
<em>(as a decimal: m = 3.333...)</em>
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hope this helps!! have a lovely day :)
ST = 1/2 (RV) = VQ = 6
answer
ST = 6
hope it helps
