the original value of an investment is $1,800. if the value has increased by 7% each year, write an exponential to model the situation. then, find the value of the investment after 15 years

Respuesta :

For this case we have an equation of the form:
 y = A (b) ^ t
 Where,
 A: initial amount
 b: growth rate
 t: time
 Substituting values we have:
 y = 1800 * (1.07) ^ t
 For 15 years we have:
 y = 1800 * (1.07) ^ 15
 y = 4966.256773 $
 Answer:
 
An exponential to model of the situation is:
 
y = 1800 * (1.07) ^ t
 
the value of the investment after 15 years is:
 
y = 4966.256773 $