ashley invests $9,720 in a one - month money market account paying 3.16% simple annual interest and $8,140…

ashley invests $9,720 in a one - month money market account paying 3.16% simple annual interest and $8,140 in a two - year cd yielding 3.23% simple annual interest. assuming ashley does not reinvest or renew these investments, how much money will she have when both investments reach maturity, to the nearest dollar?\na. $550\nb. $1,080\nc. $17,310\nd. $18,411
Answer
Explanation:
Step1: Calculate interest for money - market account
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 money - market account, $P_1=$9720$, $r_1 = 0.0316$, and $t_1=\frac{1}{12}$ years. $I_1=P_1r_1t_1=9720\times0.0316\times\frac{1}{12}$ $I_1 = 9720\times\frac{0.0316}{12}=9720\times0.002633\approx25.59$ The amount in the money - market account at maturity, $A_1=P_1 + I_1=9720 + 25.59=$9745.59$
Step2: Calculate interest for CD
For the CD, $P_2 = 8140$, $r_2=0.0323$, and $t_2 = 2$ years. $I_2=P_2r_2t_2=8140\times0.0323\times2$ $I_2=8140\times0.0646 = 525.844$ The amount in the CD at maturity, $A_2=P_2+I_2=8140 + 525.844=$8665.844$
Step3: Calculate total amount
The total amount $A=A_1 + A_2=9745.59+8665.844\approx18411.43\approx$18411$
Answer:
d. $$18,411$