Reference no: EM13957249
Among the professionals you have interviewed for your article , were several state and federal government spokespersons who use linear equations in a variety of ways.
1. An employee of the National Parks service told you about a location in Washington , DC. It is a large grassy area south of the White House known as the Ellipse. The National Tree Lighting Ceremony is held annually on the Ellipse. Because the President officiates at this event , the secret service makes calculations which they use in planning security.
The Ellipse is actually an ellipse with major axis of length 1048 ft. and minor axis of length 898 ft . Assuming that a coordinate system is superimposed on the area in such a way that the center is at the origin and the major and minor axes are on the x- and y- axes of the coordinate system, respectively, find an equation of the ellipse.
2. The board of Government at the Federal Reserve Bank set the prime interest rate . These rates trickle down through the economy at verious rates and affect consumer spending and saving habits.The economists at the Federal Reserve follow sample households in order to extrapolate information which they use in forecasting. For example , in one household they studied , the family made an investment for 1 year that earned $ 7.50 simple interest . If the principal had been $25 more and the interest rate 1% less , the interest would have been the same . Find the principal and the rate .
3. Another family in the Federal Reserve study group borrowed $ 120,000 . The loan is to be repaid in 13 years at 12% interest , compounded annually . How much will be repaid at the end of 13 years .
4. Twice a week , the State of Michigan runs a 6 out of 49 number lotto that pays at least $2 million . The State needs to know the probabilities of winning in order to ensure that the lottery has ample reserves for the payouts . You purchase a card for $ 1 and pick any 6 numbers from 1 to 49 . If your numbers match those that the state draws , you win. How many 6- number combinations are there for the drawing ? If you buy one ticket , what is your probability of winning ?
|
How many different groups of 4 can he choose
: How many license plates can a state have if each license plate has 2 letters followed by 4 digits, if the first digit cannot be zero?
|
|
What is an organization in which specialists
: What is an organization in which specialists from different parts of the organization are brought together to work on specific projects but still remain part of the line-and-staff structure?
|
|
How would the divisions be ranked
: How would the divisions be ranked (from best to worst performance) if the evaluation were based on residual income?
|
|
Due to several factors including interest rates
: Most of us intuitively understand that a dollar required today does not have the same value as a dollar needed (or utilized) in the future. This is due to several factors including interest rates, compounding factors, discounting factors and finan..
|
|
How many 6- number combinations are there for the drawing
: Because the President officiates at this event , the secret service makes calculations which they use in planning security.
|
|
Quantum mechanics-differential equation
: In quantum mechanics, you will work with the following differential equation:
|
|
What is the outline of the fundamental purposes
: What is the outline of the fundamental purposes of an organization?
|
|
Denote the sum of the elements
: Let A ⊆ {1, 2, 3, . . . , 25} where |A| = 9. For any subset of A let sB denote the sum of the elements in B. Prove that there are distinct subsets C, D of A such that |C| = |D| = 5 and sC = sD.
|
|
As a percentage of disposable personal income
: A very small country's gross domestic product is $ 12 million. a. If government expenditures amount to $ 7.5 million and gross private domestic investment is $ 5.5 million, what would be the amount of net exports of goods and services?
|