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2 years ago

Using front-end estimation, find a reasonable estimate of:

Mathematics

2 answers:

Citrus2011 [14]2 years ago

5 0

Answer:

21,000

Step-by-step explanation:

front end estimation requires you to take the front / first digit of each number in this expression and round.

if you don't know how to round, basically you take the next digit after the first one, (in 719 you take the 1) and determine if that's below or above 5. If below, then keep the original first number. If above, add one more to the first digit. If the number is five itself, it is most common to round up (so add one).

like 425 would round to just 400; and 676 would round to 700.

multiply 700 and 30

youd get 21000

Eva8 [605]2 years ago

4 0

Answer: 719• 26 is going to be 21,000

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(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all

Vsevolod [243]

Answers:

a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.
b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.
c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.
d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.
e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.

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3 years ago

PLEASE HELP ME IM STRUGGLING!!!

Kitty [74]

Answer:

The required answer is $c=7\sqrt{3}$

Therefore the number in green box should be 7.

Step-by-step explanation:

Given:

AB = 7√2

AD = a , BD = b , DC = c , AC = d

∠B = 45°, ∠C = 30°

To Find:

c = ?

Solution:

In Right Angle Triangle ABD Sine identity we have

$\sin B = \dfrac{\textrm{side opposite to angle B}}{Hypotenuse}\\$

Substituting the values we get

$\sin 45 = \dfrac{AD}{AB}= \dfrac{a}{7\sqrt{2}}$

$\dfrac{1}{\sqrt{2}}= \dfrac{a}{7\sqrt{2}}\\\\\therefore a=7$

Now in Triangle ADC Tangent identity we have

$\tan C = \dfrac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}$

Substituting the values we get

$\tan 30 = \dfrac{AD}{DC}= \dfrac{a}{c}\\\\\dfrac{1}{\sqrt{3}}=\dfrac{7}{c}\\\\\therefore c=7\sqrt{3}$

The required answer is $c=7\sqrt{3}$

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3 years ago

Angela took a general aptitude test and scored in the 83rd percentile for aptitude in accounting.

tigry1 [53]

Answer:

(a) 83% of the scores were at or below her score.

(b) 17% was above her score.

Step-by-step explanation:

Given that:

Percentile score of Angela in the general aptitude test = 83rd percentile

To find:

a) Percentage of scores which were at or below her score?

b) Percentage of score which were above her score?

Solution:

First of all, let us learn about the term "<em>Percentile</em>"

Percentile is the value below which the certain percent of people/marks fall.

Therefore, when we say percentile of someone's score is $x$ , then there are $x\%$ of scores are at the same level or below.

And $(100-x)\%$ of the scores are above this level.

Therefore, we can say that:

83% of the scores were at the same level or below the score of Angela.

And $(100-83)\% = 17\%$ of the scores were above the score of Angela.

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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,

Arturiano [62]

Answer:

(a) 41300 (b) 8.10 % (c) 3.41% (at real rates)

Step-by-step explanation:

Solution

Given:

(a) The Weights of assets in Rachel's portfolio: = amount in each stock/ sum of amounts invested in all stocks

Share Amount Weights

A 13500 0.33

B 7600 0.18

C 14700 0.36

D 5500 0.13

THE TOTAL: 41300

(b) The Geometric average return of a portfolio = ((1+R1)*(1+R2)*(1+R3)....*(1+Rn))^(1/n) - 1

Now,

R1= return of period 1 Rn= return in nth period

Thus,

The Geometric average return of Rachel's portfolio= ((1+9.7%)*(1+12.4%)*(1-5.5%)*(1+17.2%))^(1/4) - 1

= 8.10 % (approx) per year.

The CAPM: Required return= Risk free return + (Risk premium * Beta)

13.6 = Rf + (4.8*1.5)

So,

Rf= 6.4% (not inflation adjusted)

The inflation adjusted rate of return: ((1+return)/(1+inflation rate))-1

= ((1+13.6%)/(1+2.7%))-1 = 10.61%

Using CAPM: 10.61= Rf + (4.8*1.5)

Therefore, Rf= 3.41% (at real rates)

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3 years ago

What are the factors of x2-144

padilas [110]

Answer:

(x+12)(x-12)

Step-by-step explanation:

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3 years ago

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