A new car is purchased for 23900 dollars. The value of the car depreciates at 9.25% per year. To the nearest tenth of a year, ho
2 answers:
9514 1404 393
Answer:
14.2 years
Step-by-step explanation:
The value is described by the exponential function ...
y = (initial value)·(decay factor)^x
where y is the value after x years.
The decay factor is (1 - annual depreciation) = 1 - 0.0925 = 0.9075, so we want to find x when ...
6000 = 23900·0.9075^x
6000/23900 = 0.9075^x . . . . . . . . . . . . . . divide by 23900
log(6000/23900) = x·log(0.9075) . . . . . . . take logarithms
x = log(6000/23900)/log(0.9075) ≈ 14.2396
It will be about 14.2 years until the value of the car is $6000.
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<h2>Steps</h2>
So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:
From here we can solve for x. Firstly, divide both sides by √2.
Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:
Next, divide:
<u>In short, the length of one leg of the triangle is 9√2 cm.</u>
Answer:
Step-by-step explanation:
we know that
In the right triangle ABC
The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC
so
substitute the values and solve for AC