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Question: 1. Jamie Juarez needs $12,000 in 10 years for her daughter's college education. How much must be invested today at 2% annual interest compounded semiannually to have the needed funds?
2. If you were offered $600 today or $680 in one year, which would you accept if money can be invested at 2% annual interest compounded semiannually?
Let ρ be the permutation on S9 given by ρ = (1 2)(3 4 5 6)(2 6)(5 1 2). Determine the complete factorization of ρ and hence find sgn(ρ).
Given the number of elements in the intersection of three sets, the number of elements in each pairwise intersection of these sets, and the number of elements.
A set of digits consists of one 1, two 9's, and one 7. A pair of these digits is randomly selected without replacement. What is the probability that the pair can be arranged to form a two-digit prime number?
a regular pentagon with perimeter 75m , find the area of the regualr pentagon.
Decide if the function graphed is a probability density function (pdf) or a cumulative distribution function (cdf). Give reasons. Find the value of c.
A furniture factory needs 31.5 ft of fabric to upholster one chair. Its Dutch supplier sends the fabric in bolts of exactly 200. m2. What is the maximum number of chairs that can be upholstered by 3 bolts of fabric (1 m = 3.281 ft)?
Find the quotient. Be sure to use the long division method, do not use the factoring method. Show Work. (the 3 is up and to the right of the x) x3 + 512 ___________ = x + 8
Vincent Ores is paid a salary of $400 plus 8% of sales. Calculate his gross income if his sales total $9,890 in the current pay period.
1. Neglecting friction, what is the speed of the block at the bottom of the slope if it is released from rest at the top of the slope? 2. What is the magnitude of the net force on the block halfway down the slope?
Show that either a or b must be odd, and the other even.- Show in this case (assuming a is odd and b even) that there are integers m, n so that a = m2 - n2, b = 2mn, and c = m2 + n2.
It is being given that (232+ 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Make a list of all bit strings of lengths zero, one, two, three, and four that do not contain the bit pattern 111.
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