Algebra Answers

Find the product of the first 99 terms of the sequence 1/2 2/3 3/4 4/5

The annual bonus given to the employees of a company is 5% of their taxable incomes. After the state and central taxes are deducted. The state tax is 10% of taxable income. The central tax is 20% of taxable income after deducting the state tax. Formulate this situation for determining the bonus, as a linear system ?( 1.) Solve by substitution, the system you have obtained .

Solve x^4-8x^3+21x^2-20x+5=0 given that the sum of the two of its roots is 4?

What is the number described in the poem?

The number you seek is more than 50
But stay under 100 to be more thrifty
A powerful number these digits are called
A product of square and cube, so scrawled
The square is from a simple three
You're partly given for free
The number to cube is even and close
A prime number too, so now it's exposed
So take square and cube worked out
Make the product and don't you pout!
if you've listen to what I've said
You know the answer to what you've read.

Find x and y , given that
(5x+y, 3x-y) = (2, 2x) ∈Q×Q

Draw a Venn diagram of sets A, B and C where A ⊆ B, A ∩ C ≠ φ, B∩ C = φ
What is the universal set you have chosen? Justify your choice of sets in the
diagram.

Solve
x^4-8x^3+21x^2-20x+5=0
given that the sum of two of its roots is 4 .

The annual bonus given to the employees of a company is 5% of their taxable incomes, after the state and central taxes are deducted. The state tax is 10% of taxable income. The central tax is 20% of taxable income after deducting the state tax. Formulate this situation for determining the bonus, as a linear system. Then Solve by substitution, the system you have obtained.

The annual bonus given to the employees of a company is 5% of their taxable incomes, after the state and central taxes are deducted. The state tax is 10% of taxable income. The central tax is 20% of taxable income after deducting the state tax. Formulate this situation for determining the bonus, as a linear system.

Let xi ∈ R such that 0 < x1 ≤ x2 ≤ .....≤ xn,
n ≥ 2, and 1/(1+x1) + 1/(1+x2) +........+1/(1+xn) =1 then show that
√x1 + √x2 +........+ √xn ≥ (n-1) {1/√x1 + .....+ 1/√xn}