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Calculate the Present Value of Annuity of receiving $5,000 eachyear for the next 12 years with interest rate of 7%. 8 Calculatethe Future Value of Annuity of investing $6,000 each year startingnow for 10 years at 5% interest rate. 9 How much would you paytoday to receive $15,000 in 8 years? Assume a 5% interest rate. 10How much would your CD of $1,000 be worth in 6 years at an interestrate of 4%? 11 How much would you pay today for an investment inwhich you would receive $5,000 each year for the next 7 years?Assume an interest rate of 6%. 12 If you save $10,000 per year for4 years assuming an interest rate of 7%, how much money would youhave? 13 Suppose you win a small lottery. You can receive $9,000now or you can receive $2,100 a year for the next 5 years. Assume6% interest rate. Which method would be the best choice? 14Calculate the effective annual rate of 12% assuming quarterlycompounding
Problem: Prove that this statement are true for every positive integer 2^(3n - 1) is divisible by 7.
A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above ground . When he is 10 feet from the base of the light,
Let x be the length of the top of the rectangle (and thus also of the bottom of the rectangle and of the diameter of the circle) and y the length of the side of the rectangle.
State the null and alternative hypotheses
Find the demand function(price as a function of attendance), assuming it to be linear.
A rectangular page is to contain 196 square inches of printable area. The margins on each side are 1 inch. What should the dimensions of the page be so that the least amount of paper is used?
if q is the number of quarts of lemonade, then 1/4 q can be used to fine the number of cups of lemonade mix needed to make the lemonade. how much mix is need to make each amount of lemonade ?
Which of the properties below follow without further restriction on f by applying the Intermediate Value Theorem?A) f^2 (c) is 1/4 for some C in (-2,2)
Show that {v1, v2, v3} is linearly dependent
Determine the test statistics and calculate its value.
The bearings of two points on the shore from a boat are 115 degrees and 123 degrees. Assume the two points are 855 feet apart. How far is the boat from the nearest point on shore if the shore is straight and runs north-south?
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire functi..
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