If the rate of inflation is 3.9% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following
1 answer:
The current price of the item is $2500 and the price 10 years from today is $3665. 2.
Given exponential function
p(t) = 2500 × (1.039)^t
where t is the number of years from today.
Rate of inflation is 3.9% per year
The computation of the current price of the item and the price 10 years from today is shown below:-
p(t) = 2500 × (1.039)^t
Now, the current price can be found by putting t = 0
p(0) is
p(0) =
= 2500
The price 10 years from today can be found by putting t = 10
p(10) is
p(10) =
= 2500 × 1.466
= 3,665.181
Rounding to nearest dollar
= $3665. 2
The current price of the item is $2500 and the price 10 years from today is $3665. 2.
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Answer:
a. 11/5 pi; -9/5 pi
Step-by-step explanation:
Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).
From the example we can see that the following expressions must be fulfilled:
positive angle - reference angle = 360°
reference angle - negative angle = 360°
where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,
positive angle - pi/5 = 2 pi
positive angle = 2 pi + pi/5
positive angle = 11/5 pi
pi/5 - negative angle = 2 pi
negative angle = pi/5 - 2 pi
negative angle = -9/5 pi
