ian invests $13,670 in a savings account at his local bank which gives 1.9% simple annual interest. he also…

ian invests $13,670 in a savings account at his local bank which gives 1.9% simple annual interest. he also invests $6,040 in an online savings account which gives 4.5% simple annual interest. after nine years, which one will have earned more interest, and how much more interest will it have earned, to the nearest dollar? a. the local account will have earned $7,521 more interest. b. the local account will have earned $3,199 more interest. c. the online account will have earned $3,090 more interest. d. the online account will have earned $109 more interest.

ian invests $13,670 in a savings account at his local bank which gives 1.9% simple annual interest. he also invests $6,040 in an online savings account which gives 4.5% simple annual interest. after nine years, which one will have earned more interest, and how much more interest will it have earned, to the nearest dollar? a. the local account will have earned $7,521 more interest. b. the local account will have earned $3,199 more interest. c. the online account will have earned $3,090 more interest. d. the online account will have earned $109 more interest.

Answer

Explanation:

Step1: Calculate interest for local bank account

Use simple - interest formula $I = Prt$, where $P$ is principal, $r$ is interest rate, and $t$ is time. For local bank, $P_1=13670$, $r_1 = 0.019$, $t = 9$. So $I_1=P_1r_1t=13670\times0.019\times9=13670\times0.171 = 2337.57$.

Step2: Calculate interest for online bank account

For online bank, $P_2 = 6040$, $r_2=0.045$, $t = 9$. So $I_2=P_2r_2t=6040\times0.045\times9=6040\times0.405 = 2446.2$.

Step3: Find the difference in interests

$I_2 - I_1=2446.2-2337.57 = 108.63\approx109$.

Answer:

d. The online account will have earned $109 more interest.