Illustrate eight times any triangular number makes square
Illustrate using dots that eight times any triangular number plus 1 makes the square. Conversely, illustrate that any odd square diminished by 1 becomes eight times triangular number. Illustrate the results algebraically as well.
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Find that maximum revenue per week? nearest $1,000. How many TVs will be sold every week at that optimal price round up/ to nearest TV.
How many 5-card hands can be dealt from the deck of 52 cards? Based on the answer, find odds of getting the straight flush with 10, J, Q, K, Ace? Suppose that there are 4 kinds of cards: clover, diamond, spade, and heart.
Consider [x] denote integer part of x, i.e largest integer less than or equal to x. Let relation \approx defined on R by: x \approx y if x-[x] = y-[y]. Illustrate that approx is the equivalence relation.
If system is started from equilibrium (no displacement, no velocity) Establish ODE and two ICs to explain the motion. Determine position of mass as the function of time, i.e. solve ODE.
Conversely, illustrate that any odd square diminished by 1 becomes eight times triangular number. Illustrate the results algebraically as well.
Consider U be universal set and consider A and B be any subset of U. Let R be the relation A R B iff A subset B. Would this be transitive, symmetric or reflexive?
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Determine incremental income from selling units as scrap and reworking and selling units? Should company sell units as scrap or rework them?
You invest $3,000 annually in the no-load mutual fund which charges 12b-1 fees of 1%. Fund earns 10% annually before fees, and you reinvest all distributions. How much you will have in account at end of 20 years?
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