Sales of version 6.0 of a computer software package start out high and decrease exponentially. at time t, in years, the sales are s(t)=50e^t dollars per year. after two years, version 7.0 of the software is released and replaces version 6.0. assuming that all income from software sales is immediately invested in government bonds which pay interest at a 6% rate compounded continuously, calculate the total value of sales of version 6.0 over the two-year period.
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Ответ:
44976 dollars.
Explanation:
At time t, the sale is 50e^(-t), and there's (2-t) year left to reach the new release of software. During this period, the income after interest is
50e^(-t) e^(0.03(2-t)) = 50e^(0.06 - 1.03t) .
Therefore, the total value of sales is int_0^2 50 e^(0.06 - 1.03t) dt ~ 44.9758 thousand dollars ~ 44976 dollars.
Ответ:
As you get older, a Target Date Fund will adjust by "Decreasing your stocks and increasing your bonds".
Option: A
Explanation:
Goal pension plans are structured to be the investment plan, which an investor utilizes to prepare for purpose of retirement. The concept is simple in life-cycle funds or age-based funds: a fund is picked up and invest as much possible then forget until one reach respective retirement age.
Although investors who invested their assets in a retirement fund must be aware of how other retirement investments could problem their allocation of assets. For instance, if a target fund has an 80% stock and a 20% bond asset allocation, but the investor purchases a deposit certificate with 10% of their retirement assets, this essentially declines the stock allocation of the overall portfolio of the investor and leads to increment of the bond allocation.