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Shota invests $2000 in a certificate of deposit that earns 2%, percent in interest each year. Write a function that gives the total value V(t) in dollars, of the investment t years from now.

Respuesta :

For this case we have a function of the form:
 y = A (b) ^ t
 Where,
 A: initial amount
 b: growth rate
 t: time
 Substituting values we have:
 V (t) = 2000 (1.02) ^ t
 Answer:
 
a function that gives the total value V (t) in dollars, of the investment t years from now is:
 
V (t) = 2000 (1.02) ^ t

The total value V(t) if she invests $2000 is:

V(t) = 2000 + 40t

A function shows the relationship between two or more variables.

The interest (I) gotten from investing a particular amount of money for some number of years is given by:

I = PRT

Where I is the interest, P is the principal, R is the rate and T is the time.

Given a principal  of $2000 at a rate of 2% for t years. The Interest is:

I = PRT

I = 2000 * 2% * t = 2000 * 0.02 * t

I = 40t

The total value V(t) is:

V(t) = 2000 + 40t

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