Mathematics: Write n as a discrete exponential function of t of the form n(t)=a(1+r)t. (hint: you will need to find (1+r), where r is the rate. use n(11)=130 and the initial value n(0)=84 to find it.)

The answer is 32x+8 ———— x+2...

Write n as a discrete exponential function of t of

missalawode28

15.01.2022

N(t)=84(1+0.0405)^t .

Step-by-step explanation:

We have been given that N(11)=130 and N(0)=84 . We are asked to write N as a discrete exponential function of t of the form N(t)=A(1+r)^t .

Using our given information, we can set an equation as:

N(0)=A(1+r)^0

84=A*1

84=A

Using our given information, we will get:

$N(11)=A(1+r)^{11}$

Substitute the given values:

$130=84(1+r)^{11}$

$\frac{130}{84}=\frac{84(1+r)^{11}}{84}$

$1.5476190476190476=(1+r)^{11}$

Switch sides:

$(1+r)^{11}=1.5476190476190476$

Take 11th root of both sides:

$\sqrt[11]{(1+r)^{11}}=\sqrt[11]{1.5476190476190476}$

1+r=1.04050024747304

r=1.04050024747304-1

r=0.04050024747304

$r\approx 0.0405$

Therefore, our required function would be N(t)=84(1+0.0405)^t .

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