Question

Daniel opens a new savings account and makes an initial deposit of $1,200.

If the account earns 2.5%
annual interest, which equation shows how much money is in the account in 9
months?
Responses

A x=1,200+1,200(0.25)(0.75)
x is equal to 1 comma 200 plus 1 comma 200 0 point 2 5 0 point 7 5

B x=1,200+1,200(0.025)(0.75)
x is equal to 1 comma 200 plus 1 comma 200 0 point 0 2 5 0 point 7 5

C x=1,200+1,200(0.25)(9)
x is equal to 1 comma 200 plus 1 comma 200 0 point 2 5 9

D x=1,200+1,200(0.025)(9)

Answer 1

D) x = 1,200 + 1,200(0.025)(9)

In this equation, 1,200 is the initial deposit, 0.025 is the decimal representation of the annual interest rate, and 9 represents the time period in months. The multiplication of 0.025 and 9 gives the proportion of interest earned in 9 months, which is then multiplied by the initial deposit and added to it to give the total amount in the account after 9 months.

Simplifying the equation:

x = 1,200 + (1,200)(0.025)(9)

x = 1,200 + 270

x = 1,470

Therefore, there would be $1,470 in the account after 9 months