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3 years ago

G(n) = 4n+5 f(n)= n^3+3n^2 find (g+f)(n)

Mathematics

1 answer:

Tpy6a [65]3 years ago

7 0

Given:

The two functions are:

$g(n)=4n+5$

$f(n)=n^3+3n^2$

To find:

The function $(f+g)(n)$ .

Solution:

We have,

$g(n)=4n+5$

$f(n)=n^3+3n^2$

Now,

$(f+g)(n)=f(n)+g(n)$

$(f+g)(n)=n^3+3n^2+4n+5$

Therefore, the correct option is B.

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A firm wishes to maintain an internal growth rate of 7.1 percent and a dividend payout ratio of 25 percent. The current profit m

ddd [48]

Answer:

1.46 times

Step-by-step explanation:

The growth, $g$ rate is defined as Return on Equity times (1-Dividend payout ration):

$g=ROE\times(1-Dividend \ Payout \ Ratio)$

Given that $g=7.1, dpr=0.25,$

The total asset turnover is calculated as:

$0.071=ROE\times(1-0.25)\\ROE=0.0947$

#We know that

$ROE=Profit \ margin \times \ Total \ Asset \ Turnover\\0.0947=0.065\times \ Total \ Asset \ Turnover\\1.4564=\ Total \ Asset \ Turnover\\$

Hence, turn-over required for a 7.1% internal growth is 1.4564times

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3 years ago

A delivery truck travel 324 miles on 18 gallons of gas how far can be traveled on 41 gallons of gas

Ierofanga [76]

Well divide 324 by 18= A unit rate of 18 miles per gallon. Now just multiply 18 by 41 which is 738.

Answer:738 miles

7 0

3 years ago

With bases V1, V2 , V3 andw1, w2 , W3, suppose T(v1) = w2 and T(v2) = T(v3) = w1 + w3 . T is a linear transformation. Find the m

Roman55 [17]

Answer:

See picture and explanation below.

Step-by-step explanation:

With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.

A is defined as $T=([T(v_1)] [T(v_2] [T(v_3)])\text{ where }[T(v_i)]$ denotes the vector of coordinates of $T(v_i)$ respect to the basis (we can apply this definition because forms a basis for the domain of T).