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sineoko [7]
3 years ago
12

Consider the exponential function f ( x ) = 13 , 500 ⋅ 0.89^x, which models the value of Mikayla's scooter, where x represents t

he number of years since she purchased the scooter.
What is the value of Mikayla's scooter after 4 years? Explain.
Mathematics
1 answer:
Elden [556K]3 years ago
7 0

Answer: $8470

Step-by-step explanation:

To solve this, you can substitute 4 for x:

f(x) = 13500*.89^4\\f(x) = 13500*0.6274\\f(x) = 8470

Mikayla's scooter is worth around $8470 after 4 years.

It was originally worth 13,500 dollars and depreciated by 11% every year.

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Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

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Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

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Midpoint formula:

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\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

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And,

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