Exams

Given:j=7% compounded semiannually making m=2 and i = j/m= 7%/2 = 3.5%
Let x represent the third payment. Then the second payment must be 2x.
PV1,PV2, andPV3 represent the present values of the first, second, and third payments.

Since the sum of the present values of all payments equals the original loan, then
PV1 + PV2  +PV3
=$4000 -------(1)

PV1
  =FV/(1 + i)^n
=$1000/(1.035)^4=
$871.44

At first, we may be stumped as to how to proceed for
PV2 and PV3. Let’s think about the third payment of x dollars. We can compute the present value of just $1 from the x dollars

pv=1/(1.035)^10=0.7089188

PV2
  =2x * 0.7089188 =
1.6270013x
PV3
  =x * 0.7089188=0.7089188x
Now substitute these values into equation ➀ and solve for x.
$871.442 + 1.6270013x + 0.7089188x
=$4000

2.3359201x
=$3128.558

x=$1339.326
Kramer’s second payment will be 2($1339.326)
=$2678.65, and the third payment will be $1339.33

The two most widely recognized tools used to influence a Nation's Economic activity are Monetary policy and Fiscal policy.

• Monetary policy is primarily concerned with the management of interest rates and the total supply of money in circulation and is generally carried out by central banks

• Fiscal policy is the collective term for the taxing and spending actions of governments.

There are two major forms of democratic government.

I. Parliamentary
II. Presidential

The citizens elect the leaders in democratic government.

The main difference is legislative and executive branches.

Executive - head of government
Legislative - how laws are made

I. Parliamentary democratic government : (example - United Kingdom )

1. Parliament = Legislature (Laws)
2. Parliament controls the power
3. Head of government is a prime minister chosen by the legislature
4. Prime minister and cabinet are members of the legislature
5. Prime minister answers to the legislature (fusion of powers)
6. The government will stay in office for a specified period unless the prime minister loses support of the majority on an important vote.
7. If this occurs- the P.M. must resign and elections are held immediately.

II. Presidential democratic government : (example - United States of America)

1. The executive and legislative branches are separate bodies elected independently by the citizens.
2. Separation of Powers
3. There are checks and balances where each branch can overrule the other.
4. The president answers to the voters, not the legislature.
5. The people elect the president, and elections are held at set intervals.

Nothing can be deduced regarding the effect of reapirs of office building on efficency of workers,or the requirement of funds for repairs,from the given statement.So,neither 1 nor 2 is true

Given total number of students in the class = 21

So each student will have 20 greeting cards to be send or receive (21 - 1(himself))

Therefore, the total number of greeting cards exchanged by the students = 20 x 21 = 420.

China's amphibian aircraft, which is stated to be the world's largest, has successfully passed engine tests and is expected to make its maiden flight in the first half of the year 2017.