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Natalija [7]
3 years ago
15

8. A well-balanced stock market portfolio will often experience an exponential growth. A

Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

D) $896,053

Step-by-step explanation:

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Find the equation of a line passing through (-4,-3) and perpendicular to<br> 3 x + 2 y = 14.
Reil [10]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

3x+2y=14\implies 2y=-3x+14\implies y=\cfrac{-3x+14}{2}\implies y = \cfrac{-3x}{2}+\cfrac{14}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so therefore

\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3}\implies \cfrac{2}{3}}}

so we're really looking for the equation of a line whose slope is 2/3 and passes through (-4 , -3)

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{2}{3}}(x-\stackrel{x_1}{(-4)}) \implies y+3=\cfrac{2}{3}(x+4) \\\\\\ y+3=\cfrac{2}{3}x+\cfrac{8}{3}\implies y=\cfrac{2}{3}x+\cfrac{8}{3}-3\implies y=\cfrac{2}{3}x-\cfrac{1}{3}

3 0
2 years ago
Plz help,.................refresh the page before u answer
Inessa [10]
Using the quadratic equation instead of calculus, you can find the x coordinate of the vertex as it will be the midpoint of the two x coordinates of the zeros...

x=(-3±√-27)/2

x=-1.5±√-6.75

That the second term is imaginary does not matter because we will add or subtract this value from -1.5, thus the midpoint of the zeros, the x coordinate of the vertex is -1.5.  And to find the value of y for the vertex we just find the value of y when x=-1.5

y(-1.5)=6.75

Since y>0, the vertex is above the x-axis.


3 0
3 years ago
Identify the scale factor when we scale up from Figure S to T. Just write the number.
Sergeu [11.5K]

Answer:

Scale factor = 4

Step-by-step explanation:

Scale factor = \frac{\text{Dimension of the image}}{\text{Dimension of preimage or original}}

Since, S is being dilated with a scale factor to form T,

So, the figure S is the preimage and figure T will be the image,

Length of one side of image T = 8

Length of one side of preimage = 2

Therefore, Scale factor = \frac{8}{2}

                                       = 4

Scale factor by which figure S has been dilated to form figure T is 4.    

3 0
3 years ago
The smith family bought 10 gallons of ice cream for a party and 80% of ice cream bought was eaten how many gallons was eaten
Nadusha1986 [10]

Answer:

8 gallons were eaten.

Step-by-step explanation:

You would multiply the percentage by the amount of gallons. So 80% would be 0.8 so it would be 0.8 multiplied by 10 which gives you 8.

7 0
3 years ago
Read 2 more answers
In quadrilateral ABCD,AB produced is perpendicular to DC produced.If A=44° and C=148°,calculate D and B.
7nadin3 [17]
Let AB extended intersect DC extended at point E 
<span>We now have right triangle BEC with E = 90 degrees </span>

<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>

<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
5 0
3 years ago
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