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NARA [144]
3 years ago
14

Find f(-2) for f(x) = 5•3*x

Mathematics
2 answers:
Oksanka [162]3 years ago
8 0

Answer:

The value of f(-2) is 0.56

Step-by-step explanation:

Given the function

f(x)=5.3^x

we have to find the value of f(-2)

f(x)=5.3^x

Put x=-2

f(-2)=5.3^{-2}

f(-2)=5\times \frac{1}{3^2}

f(-2)=\frac{5}{9}=0.5555...\sim 0.56

Hence, the value of f(-2) is 0.56

nirvana33 [79]3 years ago
4 0
Hello!

You put -2 in for x

I don't know whether it is times x or to the power of x so I will do both

5 * 3 * x

5 * 3 * -2 = -30
------------------------------------------------------------------------------------------------------
5 * 3^x

5 * 3^-2

5 * 1/81 = 5/9 or 0.55555

Hope this helps!
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3 years ago
Rachel is a financial investor who actively buys and sells in the securities market. Now she has a portfolio of all blue chips,
AlekseyPX

Answer:

<em>a) Weight of Assets: </em>

<em>Stock A = 0.33</em>

<em>Stock B = 0.18</em>

<em>Stock C = 0.35</em>

<em>Stock D = 0.13</em>

<em>b) Geometric Average Return = 8.1%</em>

<em>c) Risk free rate (without inflation rate adjustment) = 6.4%</em>

<em>Risk free rate (with inflation rate adjustment) = 3.4%</em>

<em>d) As, this part is incomplete and missing essential data, so we have skipped this part. </em>

Step-by-step explanation:

a) Weights of the assets:

Weights of the assets in Rachel's portfolio can be calculated as follows:

Weight =  Amount in stock/sum of amounts of all stocks

Sum of amount of all stocks = Stock A + Stock B + Stock C + Stock D

                                              = $13500 + $7600 + $14700 + $5,500

                                    Sum  = $41,300

Weight of Stock A = .Amount of Stock A/ Sum

                              = 13600/41300

Weight of Stock A   = 0.329 ≈ 0.33

Weight of Stock B = 7600/41300

                               = 0.18

Weight of Stock C =  14700/41300

                              = 0.35

Weight of Stock D = 5500/41300

                             = 0.13

b) Geometric Average Return:

The formula to calculate geometric average return is as follows:

<em>Geometric average return = ((1+r1)x(1+r2)x(1+r3)....x(1+rn))^(1/n) - 1</em>

Don't be confuse! This is a very simple formula, it only looks complex. Just plug in the values of returns given for this portfolio to get the geometric average return.

Here we go:

Geometric Avg. Return = ((1+0.097)*(1+0.124)*(1-0.055)*(1+0.172))^(1/4) - 1

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<em></em>

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<em>CAPM = Capital Asset Pricing Model</em>

CAPM gives the formula to calculate risk free rate:

Expected Return = Risk Free rate + (Beta of the stock x Premium Risk)

: As this is without the adjustment of inflation rates.

13.6 = Risk Free Rate + (1.5 x 4.8)

Risk Free Rate =  13.6 - 7.2

Risk Free Rate (without inflation adjustment) = 6.4%

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Where, r = return, IR = inflation rate

With inflation adjustment of Return rate =  ((1+r)/(1+IR))-1

                                             = ((1+0.136)/(1+0.027))-1

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