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Solve x2 dy/dx = y2 - xy. given that y = 1 when x = 1


If there are only Computer Science and Math Majors in Discrete Math, and there





are 4 Computer Science Majors, 15 Math Majors, and 8 student who are double





majors in Math and Computer Science, how many people are enrolled in discrete





math.

A parent wishes to deposit a lump sum into a savings account now. He will withdraw an amount from the account every year for five years starting one year

from now to pay for his child's school fees. The first school fee due one year from now will be R 8 899 and school fees increase thereafter at a rate of 10% p.

If the account earns interest at 6% pa. compounded daily, then the lump sum (to the nearest cent) that must be deposited into the account now is equal to R

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4 points

A woman wishes to deposit a lump sum into a savings account now from which she can withdraw regular amounts to pay for the maintenance of hel

need to withdraw regular half-yearly amounts from the savings account starting with a withdrawal of R1500 eighteen months from now from now an

withdrawal five years from now. To keep up with inflation the withdrawals will need to increase at a rate of 6% p.a each half-year from the second wi

the savings account earns interest at a rate 6,8% p.a.compounded daily, then the amount, to the nearest cent, that must be deposited into the saving

to fund the future growing withdrawals, is equal to:

(Hint: Think carefully about where the Pv and Fv of the withdrawals is situated on the time line!)



Question


A 33​-term series is written using only the integers +9 and −2. How many such series can be written that have a sum of​0?


Answer


The number of series that can be written is 1 107 568.


Request and Details


Can you please provide a process for solving this question? It may involve permutations and combinations.



prove that n! > 2n for n a positive integer greater than or qual to 4 what is the base step



A town has a population of 18000 and grows at 2% every year. What will be the population after 11 years, to the nearest whole number?



An insurance company found that 45% of all insurance policies are terminated before their maturity date. Assume that 10 polices are randomly selected from the company’s policy database. Assume a Binomial experiment.

Required:

a) What is the probability that eight policies are terminated before maturity?

b) What is the probability that at least eight policies are terminated before maturity?

c) What is the probability that at most eight policies are not terminated before maturity?


IQ tests are measured on a scale which is 𝑁(100,225). A woman wants to form an

“Computer Society” which only admits people with the top 1% of IQ scores. What would

she have to set as the cut-off point in the test to allow this to happen?


A bearing is selected a random and measured. The radius of ball bearings


produced by a particular process follow a normal distribution with y =


0.255 and g=0.001 inches. What is the probability that the radius is at


most 0.2545 in?


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