PLEASE HELP: p(t)=1.8^t

Identify the initial amount "a" and the rate of growth "r" (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth

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PLEASE HELP: p(t)=1.8^t

Identify the initial amount "a" and the rate of growth "r" (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth

Answer :

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iwillanswer iwillanswer · Answer 1 · 2025-03-27T15:53:19-04:00

Initial amount = 1

Rate of growth = 80 %

The value is 18.9 when t = 5

Solution:

The given exponential function is:

[tex]p(t) = 1.8^t[/tex]

The exponential function is given as:

[tex]y = a(1+r)^t[/tex]

Where,

y is the future value

a is the initial value

r is the growth rate

t is the number of years

Compare both the functions,

a = 1

[tex]1+r = 1.8\\\\r = 1.8 - 1\\\\r = 0.8[/tex]

Thus growth rate is:

[tex]r = 0.8 = 0.8 \times 100 \% = 80 \%[/tex]

Evaluate the function when t = 5

Substitute t = 5 in given

[tex]p(5) = 1.8^5\\\\p(5) = 18.89568 \approx 18.9[/tex]

Thus the value is 18.9 when t = 5

PLEASE HELP: p(t)=1.8^tIdentify the initial amount "a" and the rate of growth "r" (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth

Answer :

Initial amount = 1

Rate of growth = 80 %

The value is 18.9 when t = 5

Other Questions

PLEASE HELP: p(t)=1.8^t

Identify the initial amount "a" and the rate of growth "r" (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth