Suppose that ftQoatQo1rt with f3 782and f8180 Find the follo

Suppose that f(t)=Qoa^t=Qo(1+r)^t with f(3)= 78.2and f(8)=180. Find the following:
(a) a=

(b) r=

(Give both answers to at least 5 decimal places.)

Given

f(t)=Qoa^t=Qo(1+r)^t

f(3)= 78.2and f(8)=180

a^t= (1+r)^t

a = 1+r --- (1)

at t=3

78.2 = Qo a³ ----- (2)

at t=8

180 = Qo a⁸ --------(3)

(3 ) / ( 2) gives,

a⁵ = 180/78.2

a)a = 0.84642

b)r= -0.153578 from (1)