Question

a) 3 Given f(-2)=> and f(5)=96, find a formula assuming it is an 4 exponential function. = b) Find the value of an investment that is compounded continuously that has an initial value of $7500 that has a rate of 3.125% after 21 months.

Answer 1

Given fl-2) = 3 f(s) + 96 Baponential function of of torm f(2)= aba 2 3 H-29- 3 / 4 = ab 96ab5 f(3) = 96 abra ab 96 344 0 -2 = ) 7 b = 128 A 6 - 27 b=2 a 3 and 262 3 प 4 (2=3 a fw = 3 (2) exponential function of

Connen (p= $ 7500 r: 31250 na 21 months and compounded continuously rto A= Pe $ 7500 amount = 1.75 years Рэ initial & Danut vare = t = no. of yeals 21 12 a= annual rate - 3.1257. Ginor A= toral amount after t years 3.125x (1.25) no A = 7500 e 100 A =$ 7921-57873 $ 7921.57873 so, value of investment of