Which of the following statements is true—assuming that no additional deposits or withdrawals are made? An investment of $50 at an annual rate of 5% will return a higher value in five years than $25 invested at an annual rate of 10% in the same time. An investment of $25 at an annual rate of 10% will return a higher value in five years than $50 invested at an annual rate of 5% in the same time.

Option a. An investment of $50 at an annual rate of 5% will return a higher value in five years than $25 invested at an annual rate of 10% in the same time is the true statement

Explanation:

PV = Present Value =12800

FV = Future Value = 17983.08

n = Period = 3 years

r = Interest rate = ???

Future value = PV (1+r)^n

17983.08 = 12800 (1+r)^3

(1+r)^3 = 17983.08/12800 = 1.4049

1+r = cube root of 1.4049

1+r = 1.12

r = 1.12-1 = 0.12 or 12%

(2) PV = Present Value = 50000

FV = Future Value = 98691.13

n = Period = ???

r = Interest rate = 12%

Future value = PV (1+r)^n

98691.13 = 50000 (1+0.12)*n

(1.12)^n = 98691.13/50000 = 1.9738226

n = 6 Years

(To check answer please redo the Future value equation inserting n=6)

(3) Future value = PV (1+r)^n

investment of $25 at an annual rate of 10% for5 year = 25 (1+0.10)^5 =25*(1.61051)= 40.26

investment of $50 at an annual rate of 5% for5 year = 50(1+0.05)^5 = 50*(1.27628) =63.81

hence Option a. An investment of $50 at an annual rate of 5% will return a higher value in five years than $25 invested at an annual rate of 10% in the same time is the true statement

the correct answer is:

it required the president to inform congress within forty-eight hours of any new troop commitment.

the war powers resolution (1973) is a federal law designed to limit the u.s. president’s ability to initiate or intensify military actions abroad without the approval of the congress.

it establishes that the president can send armed forces into action abroad only by declaration of war by congress, statutory authorization, or in case of a national emergency created by attack upon the united states, its territories or possessions, or its armed forces.

it requires the president to notify congress within 48 hours of sending armed forces to military action.