Item 4 Identify the initial amount $a$ and the rate of growth $r$ (as a percent) of the exponential function $y=12\left(1.05\right)^t$ . Evaluate the function when $t=5$ . Round your answer to the nearest tenth.

Initial amount = 12

Rate of growth = 5%

value of the function when t t = 5 is 15.3

Step-by-step explanation:

The standard exponential growth equation is expressed as;

y = A(1+r)^t

A is the initial amount

r is the rate of growth

t is the time

Given the expression y = 12(1.05)^t

On comparing with the general formula;

A  = 12

Hence the initial amount is 12

Also;

1 + r  = 1.05

r = 1.05 -1

r = 0.05

r = 0.05 * 100

r = 5%

The rate of growth is 5%

To evaluate the function when t = 5, we will substitute t = 5 into the given function as shown;

Recall that y = A(1+r)^t

y = 12(1.05)^5

y = 12(1.2763)

y = 15.3 (to the nearest tenth)

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05