Answer:
x = 8
Step-by-step explanation:
Using the sine or cosine ratio in the right triangle and the exact value
sin30° = , then
sin30° = =
=
( cross- multiply )
x = 8
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Answer:
$542
Step-by-step explanation:
we know that
The equation of a exponential decay function is given by
where
y is the value of the lawnmower
x is the time in years
a is the initial value
r is the rate of change
we have
substitute
For x=5 years
Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.
<h3>What is an exponential function?</h3>It is modeled by:
In which:
- a is the initial value.
- b is the rate of change, as a decimal.
In this problem, we have that f(-1)=5, hence:
a = 5b
We also have that f(7)=32, hence:
Since a = 5b:
b = 1.2612.
a = 5b = 5 x 1.2612 = 6.306.
Hence the function is given by:
Then, when x = 4, we have that:
More can be learned about exponential functions at brainly.com/question/25537936
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