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Question: Solve the following problems by first formulating an equation in each case:
(a) The sum of twice a number and 5 is equal to the difference between the number and 3. Find the number.
(b) The sum of three successive natural numbers is 10 more than twice the smallest of them. Find the numbers.
(c) Jane receives double pay for every hour she works over and above 38 hours per week. Last week, she worked 48 hours and earned a total of $812. What is Jane's regular hourly wage?
(d) James has invested $15 000 at an annual interest rate of 10%. How much additional money should he invest at the interest rate of 12% if he wants the total interest earned by the end of the year to equal $2100?
(e) When Mr. Barnes passed away, 2/3 of his estate was left to his wife, 1/4 was shared by his children, and the remainder, $100 000, was donated to a charity. How big was Mr. Barnes's estate?
Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.
This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.
This assignment has questions related to probabiltiy.
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
Derive the Boolean Expression and construct the switching circuit for the truth table stated
Evaluate which equations are under-identified, just-identified, and over-identified.
Linear programming problem consisting of only two constraints with one objective function.
Find the natural domain of the given functions.
Compute the coecients of the polynomials using the term recurrence relation.
De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.
Questions related on mathematics in computing.
Complex problems
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