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ubaldo7410
02.03.2020 •
Mathematics
Riley purchase a MacBook Pro for $1,500. It is known that the laptops value depreciates approximately 10% per year.
a. Write an exponential decay model?showing the value of the computer after t years.
b. Calculate the value of the computer after 4 years
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Ответ:
a) v(t) = 1500(0.90^t)
b) $984.15
Step-by-step explanation:
a) For your exponential model, you are given ...
initial value = 1500decay rate = -10%So, you know the growth factor is 1 - 10% = 0.90, and the model is ...
v(t) = (initial value)(1 +rate of change)^t
v(t) = 1500(0.90^t)
__
b) Filling in t=4 and doing the arithmetic, we find ...
v(4) = 1500(0.90^4) = 984.15
The value of the computer after 4 years is modeled as $984.15.
Ответ:
4 ft²
Step-by-step explanation:
A = 1/2bh Use this equation to find the area of the triangle
A = 1/2(4)(4) Multiply
A = 1/2(16) Multiply
A = 8 Area of entire triangle
A = 1/2(2)(4) Multiply
A = 1/2(8) Multiply
A = 4 Area of triangle not shaded
Take the area of the whole triangle minus the area of the unshaded part
8 - 4 = 4 ft²