Transcendentale functie als krachtreeks?

Antwoord:

# "a) 856.022 $" #

# "b) 15,4 jaar" #

Uitleg:

# "a)" exp (x) = e ^ x = 1 + x + x ^ 2/2 + x ^ 3/6 + … #

#t = 12, r = 0.045, P = 500 #

# => A = 500 * e ^ (0.045 * 12) = 500 * e ^ 0.54 #

#~~ 500*(1 + 0.54 + 0.54^2/2 + 0.54^3/6)#

#= 500*(1 + 0.54 + 0.1458 + 0.026244)#

#= 500*1.712044#

#= 856.022#

# "b)" A = 2P #

# => 2P = P * e ^ (0.045 * t) #

# => 2 = e ^ (0.045 * t) #

# => ln (2) = 0.045 * t #

# => t = ln (2) /0.045 = 15.4 "jaar" #