Answer:
The total interest will Sergio earn on his investments at the end of 4 years is $2507.90 .
Option (d) is correct .
Explanation:
First Part
Formula

As given
$4,000 in an account earning 3.2% simple interest for 4 years .
Principle = $4000
Rate = 3.2%
Time = 4 years
Put all the values in the formula


Simple interest = $ 512
Thus the simple interest for principle amount $4000 at the rate of interest 3.2% for 4 years is $512 .
Second part
Formula

Amount = Principle + Interest
Where P is the principle , r is the rate of interest and t is the time in years .
As given
$4,000 in a savings account earning 2.1% interest compounded annually for 4 years .
P = $4000
r = 2.1%
t = 4 years
Put all the values in the formula




Amount = $ 4346.72
Put in the formula
$4346.72 = $4000 + Interest
Interest = $4346.72 - $4000
Interest = $ 346.72
Thus the interest is for the principle amount $4,000 at the rate of interest 2.1% compounded annually for 4 year is $ 346.72 .
Third part
Formula

As given
$7,500 in a certificate of deposit earning 5% interest compounded quarterly for 4 years .
P = $7500
r = 5%
t = 4 years
Put all the values in the formula





Amount = $ 9149.175
Put in the formula
$9149.175 = $7500 + Interest
Interest = $9149.175 - $7500
Interest = $ 1649.175
Thus the interest when principle amount $7500 at the rate of interest 5% compounded quarterly for 4 years is $ 1649.175 .
Thus
Total interest will Sergio earn = Simple interest + Compounded annually interest + Compounded quarterly interest
Put all the values in the above
Total interest will Sergio earn = $512 + $346.72 + $ 1649.175
= $ 2507.90 (Approx)
Therefore the total interest will Sergio earn on his investments at the end of 4 years is $2507.90 .
Option (d) is correct .