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fenix001 [56]
3 years ago
14

Your bike was originally purchased for $1,200. It loses about 8% of its original value each year. Write an equation to represent

this exponential function with appropriate values.
Mathematics
1 answer:
Arlecino [84]3 years ago
7 0

Answer:

y= 1200(0.92)^x

Step-by-step explanation:

Given data

Cost price= $1200

Rate of decrease= 8%

Let the time be x

The expression that describes an exponential function is

y= ab^x

for decrease b= 1-r

y= 1200(1-0.08)^x

y= 1200(0.92)^x

Hence the expression is

y= 1200(0.92)^x

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Answer:

Order Data (least to greatest): 35,40,42,46,47,52

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Circle 1, Circle 2, and Circle 3 have the same center and have radii, respectively, of r₁ cm, r₂ cm, r₃ cm, where r₁ &lt; r₂ &lt
ira [324]

Answer:

a) A₁ /A₂  =  r₁² / (r₂²   - r₁²)

b) A₂ /A₃  = (r₂²   - r₁²) / (r₃²   - r₂²)

Step-by-step explanation:

We have Circle 1  and area  A₁  

Area of circle 2 outside circle 1     =  A₂

Area of circle 3 outside circle 2    = A₃

On the other hand we have

A₁  = π*r₁²   area of circle 1

A₂´ =  π*r₂² area of circle 2

A₃´ = π*r₃²  area of circle 3

All areas in cm²

a) A₁ /A₂        

A₁  =  π*r₁²

According to problem statement  A₂  = π*r₂²  -   A₁

A₂  =  π*r₂²  -   π*r₁²      ⇒         A₂  =  π* (r₂²   - r₁²)

Then  A₁ /A₂  =   π*r₁² / [π* (r₂²   - r₁²)]

A₁ /A₂  =  r₁² / (r₂²   - r₁²)

b)  A₂ /A₃        

A₂  =   π* (r₂²   - r₁²)

And

A₃   =  π* (r₃²   - r₂²)

Therefore

A₂ /A₃  =   π* (r₂²   - r₁²) / π* (r₃²   - r₂²)  ⇒  A₂ /A₃  = (r₂²   - r₁²) / (r₃²   - r₂²)

A₂ /A₃  = (r₂²   - r₁²) / (r₃²   - r₂²)

6 0
3 years ago
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