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1200=40((1-(1/(1+x)^60)/x))+((1000/(1+x)^60))


find x.


Reduce the quadratic form 2𝑥

2 + 2𝑦

2 + 2𝑧

2 + 2𝑦𝑧 to the canonical form by 

orthogonal reduction. Find the index, signature and nature of the quadratic form.


at age 21 Julio begin saving $800 each year until age 35 in an ordinary annuity paying 5.3% annual interest compounded yearly and then leaves his money in the account until age 35. His friend max begins at age 41 saving $1600 per year in the same type of account until age 65. How much does each have in their account at age 65


decompose "g(x)=5\/(x-1)^3"


Describe the shape, the mean, and the standard deviation for each of the following two distributions.


a. A population of scores with µ = 50 and σ = 6.

b. The distribution of sample means based on samples of n = 36 selected from a population with µ = 50 and σ = 6.


calculate the ss for the following sample of n=8 scores

0,4,1,3,2,1,1,0


Solve the initial value problem





y"-3y'-10y=0, y'(0)=1, y'(0)=2

How to find probability distribution for example like car sale and probability. So I need a method to find out number of sales in two day period.

a)solve dy/dx - 3ye^3x =y. Given that y=1 when x=0



b)find the solution of sinx dy/dx + y cosx = sin^3 x cosx


Two cards are drawn from a deck. How many possible values can each of the following variables take?

  • Sum of the numbers on the cards:
  • Number of times both cards are black:
  • Number of times both cards are 7s:
  • Number of times the first card is six and the second card is red:
  • Number of times the first card is face card and the second card is not a face card:
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