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

Solution:

The given exponential function is:

The exponential function is given as:

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

Thus growth rate is:

Evaluate the function when t = 5

Substitute t = 5 in given

Thus the value is 18.9 when t = 5

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

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