Please Help.
After 3 years what is the total amount of an investment of $1500 in an account paying 3.5% interest, compounded quarterly?
Question 7 options:

A) $1908.42

B) $2266.60

C) $1724.36

D) $1665.31

Respuesta :

Answer:

Option D is the correct anwer

Step-by-step explanation:

This can be calculated using the relation,

[tex]A=P(1 + \frac{r}{m})^{mt} [/tex]

Where ,

A is total amount

P is the principal

r is the rate

t is the time

m is the compounding frequency

From the question,

P=$1500

r=3.5%=0.035

t=3yrs

m=4

By substitution,

[tex]A = 1500(1 + \frac{0.035}{4})^{4 \times 3} [/tex]

[tex]A = 1500(1 + 0.00875)^{12} [/tex]

[tex]A = 1500 \times (1.00875)^{12}[/tex]

[tex]A = 1665.305[/tex]

A=$1665.31