A powerful computer is purchased for $2000, but loses 20% of its value each year. How much will it be worth 4 years from now? a. Growth or Decay?

b. What is your multiplier?

c. Is $2000 your zero term or first term? term

d. Write the equation. (do not use spaces in your response; example: f(x)=10.2(1.22)^x )

e. Solve

(A)Decay

(b)0.8

(c)First Term

(d)

(e)$819.20

Step-by-step explanation:

The exponential function for modelling growth or decay is given as:

,

Where:

Plus indicates growth and minus indicates decay.

For a powerful computer that was purchased for $2000, but loses 20% of its value each year.

(a)Since it loses value, it is a decay.

(b)Multiplier

Its value decays by 20%.

Therefore, our multiplier(1-r) =(1-20&)=1-0.2

Multiplier =0.8

(c)$2000 is our First term (or Initial Value )

(d)The function for this problem is therefore:

(e)Since we require the worth of the computer after 4 years,

t=4 years

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step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64