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if n = 1, T(n−1) + 4n−2

if n > 1

(i) Derive the closed form expression f(n) for this recurrence relation.

(ii) Prove that T(n) = f(n),∀n ∈N]]>

(1) |P(A)| = 4

(2) |B| = |A|+ 1 and |A×B| = 30

(3) |B| = |A|+ 2 and |P(B)|−|P(A)| = 24]]>

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(a)Find the original sum of money.

(b)If the original sum of money accumulates to $4612.50 in 5 months at simple interest, find the interests rate per annum.]]>

I am stuck on a work question that we are required to solve using the matrix (or Gauss-Jordan) method.

"A car rental company wants to buy 100 new cars. Compact cars cost $12,000 each,

intermediate size cars cost $18,000 each, full size cars cost $24,000 each, and the company

has a budget of $1,500,000. If they purchase twice as many compact cars as intermediate

sized cars, determine the number of cars of each type that they buy, assuming they

spend the entire...

intermediate size cars cost $18,000 each, full size cars cost $24,000 each, and the company

has a budget of $1,500,000. If they purchase twice as many compact cars as intermediate

sized cars, determine the number of cars of each type that they buy, assuming they

spend the entire...

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Thank you!]]>

I was always confused with these problems and never understood them. Any help would be much appreciated!!

Thank you!]]>

Also I do need to show my work so please write down the work to solve this. Thanks!]]>

Problem:

Jacob is 4 times the age of Clinton. 8 years ago Jacob was 9 times the age of Clinton. How old are they now and how old were they 8 years ago?]]>

(a.) Explain the signiﬁcance of the number 1800 to the vendor.

(b.) What is the maximum proﬁt he can make in one day, and how many candy bars must he sell to

achieve it?

I got 1800 as the amount he starts with, and can't go over. maximum proﬁt as 4950

and if I got that right I am getting stuck on how to find how many candy bars.

Thanks]]>

What degree are the three sides?]]>

If 12 seeds are planted, what is the probability that exactly 4 don't grow?

Im seriously confused is it like u multiple the amount of the (0.90) and multiple (0.30) by power depends how any they r right?]]>

Find the present age of the father]]>