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. please select the best answer from the choices provided
Answer
Explanation:
Step1: Calculate local - bank account interest
The simple - interest formula is $I = Prt$, where $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), and $t$ is the time in years. For the local - bank account, $P_1=13670$, $r_1 = 0.019$, and $t = 9$. So, $I_1=P_1r_1t=13670\times0.019\times9=13670\times0.171 = 2337.57$.
Step2: Calculate online - bank account interest
For the online - bank account, $P_2 = 6040$, $r_2=0.045$, and $t = 9$. So, $I_2=P_2r_2t=6040\times0.045\times9=6040\times0.405 = 2446.2$.
Step3: Find the difference in interest
$I_2−I_1=2446.2 - 2337.57=108.63\approx109$.
Answer:
D. The online account will have earned $109 more interest.