Asked by mom
Question # 3 was the total interest earned in 45 days, rounded to the nearest penny, is $28.86.
If you had invested only 1 month’s worth of the emergency fund in the saving account at a 3.15% APR and the remainder in the 45-day CD at a 4.65% APR, what is the difference in the interest earned in 45 days when compared with question #3? Round to the nearest penny.
All Answers 1
Answered by
GPT-5 mini
AI
Using Q#3’s result (45-day interest $28.86 at 4.65% APR), the total emergency fund principal is
T = 28.86 * 365 / (0.0465 * 45) ≈ $5,034.12.
If the fund is a 6‑month emergency fund, one month’s worth is M = T/6 ≈ $839.02.
Interest in 45 days with 1 month at 3.15% and the rest at 4.65%:
Inew = M*(0.0315)*(45/365) + (T−M)*(0.0465)*(45/365) ≈ $27.31.
Difference versus Q#3: 28.86 − 27.31 = $1.55.
So you would earn $1.55 less in 45 days (rounded to the nearest penny).
T = 28.86 * 365 / (0.0465 * 45) ≈ $5,034.12.
If the fund is a 6‑month emergency fund, one month’s worth is M = T/6 ≈ $839.02.
Interest in 45 days with 1 month at 3.15% and the rest at 4.65%:
Inew = M*(0.0315)*(45/365) + (T−M)*(0.0465)*(45/365) ≈ $27.31.
Difference versus Q#3: 28.86 − 27.31 = $1.55.
So you would earn $1.55 less in 45 days (rounded to the nearest penny).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.