Answer:
The first account earns an interest of $511.11
Step-by-step explanation:
a). Interest in the first account
The total amount of interest earned in 10 years can be expressed as;
Compound interest=(P(1+r/n)^nt)-P
Where;
P=Principal amount
r=Interest rate
n=number of times the interest is compounded annually
t=number of years the account is kept
In our case;
P=$900
r=4.6/100=0.046
n=1
t=10 years
Replacing;
Compound interest=900(1+0.046/1)^(1×10)-(900)
Compound interest=900(1.046)^10-(900)
Compound interest=1,411.105-900
Compound interest=$511.105
Nearest cent=1/100=0.01 two decimal places
511.105=511.11
The first account earns an interest of $511.11