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2 years ago

calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly

Mathematics

1 answer:

ivann1987 [24]2 years ago

4 0

Answer:

9.725%

Step-by-step explanation:

(1.0475)^2 =1.09725

one year 2 periods 4.75% per period

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Find the generating function for the sequence 1,1,1,2,3,4,5,6,....

marin [14]

Answer:

$P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1$ [/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

$1,1,1,2,3,4,5,6,...$

the generating function would be

$P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\$

we can multiply P(x) by x to get

$xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...$

Note that

$P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\ \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)$

which for $\mid x \mid < 1$ can be rewritten as

$(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}$

8 0

2 years ago

I dont need answers but does someone mind explaining what i have to do here? im stuck, thanks!

klio [65]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Which quantity is proportional to 65/5? 130/15 13/1 195/15 260/10 130/10

Nataly_w [17]

13/1 because we can divide both sides by 5 and we’ll get 13/1

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2 years ago

What is y+12 when y =29

makkiz [27]

The answer would be 41

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2 years ago

A factory manager is packing engine components into wooden crates to be shipped on a small truck. The truck is designed to hold

Lemur [1.5K]

Answer: 63lbs

Step-by-step explanation:

The truck can only hold 16crates and each crate weigh 12lbs, the total weight of the 16 crates will be 12×16= 192lbs

This shows that the truck can only contain extra load of 1200lbs - 192lbs = 1008lbs (excluding weight of crates).

To get the shipment weigh close to the total of 1200lbs, the truck must be loaded with engine components not more than 1008lbs.

Since we have 16 crates to fill with engine components not more than 1008lb, each crates will therefore must not exceed 1008/16 pounds of engine components which is equivalent to 63lbs.

Therefore, the manager should instruct the workers to put 63lbs of machine components in "each crate" in order to get the shipment weight as close as possible to 1200 lbs.

6 0

3 years ago

calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly​

calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly