question 6 of 10\nlana wants to deposit $800 in a certificate of deposit for a maximum of one year. the bank…

question 6 of 10\nlana wants to deposit $800 in a certificate of deposit for a maximum of one year. the bank offers her four options. which offer would earn lana the most interest?\na. a one - year certificate of deposit with a nominal interest rate of 2 percent.\nb. a three - year certificate of deposit with a nominal interest rate of 4 percent.\nc. a one - year certificate of deposit with a nominal interest rate of 3 percent.\nd. a three - year certificate of deposit with a nominal interest rate of 3 percent.
Answer
Explanation:
Step1: Recall simple - interest formula
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. Here, $P=$800$.
Step2: Calculate interest for option A
For option A, $r = 0.02$ and $t = 1$. So, $I_A=Prt=800\times0.02\times1 = 16$.
Step3: Calculate interest for option B
Since Lana only wants to deposit for 1 year and this is a 3 - year CD, for the first year, $r = 0.04$ and $t = 1$. So, $I_B=800\times0.04\times1=32$.
Step4: Calculate interest for option C
For option C, $r = 0.03$ and $t = 1$. So, $I_C=800\times0.03\times1 = 24$.
Step5: Calculate interest for option D
Since Lana only wants to deposit for 1 year and this is a 3 - year CD, for the first year, $r = 0.03$ and $t = 1$. So, $I_D=800\times0.03\times1=24$.
Answer:
B. A three - year certificate of deposit with a nominal interest rate of 4 percent.