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Gnoma [55]
1 year ago
7

Jill pays $15,500 for shares in a new company. She sells the shares 8 years later for $12,500. What was her total return on this

investment? Round your answer to the nearest tenth of a percent.The Total Return on Jill's investment is %____

Mathematics
1 answer:
nataly862011 [7]1 year ago
8 0

Explanation:

The formula for getting the ROI or Return of Investment is:

ROI=\frac{finalvalue-initialvalue}{initial\text{ value}}\times100

In the problem, the initial value is $15,500 while the final value is $12,500.

Plugging these data into the formula above, we get:

TotalReturn=\frac{12,500-15,500}{15,500}\times100

Then, simplify.

\begin{gathered} TotalReturn=\frac{-3,000}{15,500}\times100 \\ TotalReturn=-0.193548\times100 \\ TotalReturn=-19.3548 \\ TotalReturn\approx-19.4\% \end{gathered}

Answer:

The total return on Jill's investment is -19.4%.

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1 Point
I am Lyosha [343]

Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

\text { Volume of a cylinder }=\pi r^{2} h

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e  

\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}

<em><u>Ratio for the volumes of two cylinders</u></em>

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}

Cancelling the common terms, we get

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)

Substituting we get,

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}

Hence, the ratio of volume of two cylinders is 8 : 27

7 0
3 years ago
A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection
svet-max [94.6K]

Answer:

x  =  2  cm

y  = 2  cm

A(max) =  4 cm²

Step-by-step explanation: See Annex

The right isosceles triangle has two 45° angles and the right angle.

tan 45°  =  1  =  x / 4 - y        or     x  =  4  -  y     y  =  4  -  x

A(r)  =  x* y

Area of the rectangle as a function of x

A(x)  =  x  *  (  4  -  x )       A(x)  =  4*x  -  x²

Tacking derivatives on both sides of the equation:

A´(x)  =  4 - 2*x             A´(x)  =  0            4   -  2*x  =  0

2*x  =  4

x  =  2  cm

And  y  =  4  - 2  =  2  cm

The rectangle of maximum area result to be a square of side 2 cm

A(max)  = 2*2  =  4 cm²

To find out if A(x) has a maximum in the point  x  =  2

We get the second derivative

A´´(x)  =  -2           A´´(x)  <  0   then A(x) has a maximum at  x = 2

5 0
2 years ago
If xy plane line is y=2x+4, y=x-5 will intercept at which point?
krok68 [10]
<span>If xy plane line is y=2x+4, y=x-5 will intercept at which point? (-9,-14)</span>
4 0
3 years ago
Vivian has a 550 page book on folk tales . If she reads 9 pages everyday before falling asleep . how many days will it take her
zepelin [54]

Answer:

62 days

Step-by-step explanation:

Given that she reads 9 pages everyday before falling asleep. Then, on day one, she would read 9m pages.

On day 2, she would read another 9 pages, making 18 pages after 2 days. If she will finish the book in x days then

x = 550/9

=61 1/9 days

Converting the 1/9 into a day then, she will finish the book in 62 days, reading just a page on the 62nd day.

5 0
3 years ago
Solve the system of equations using the elimination method and enter the value of y.
Viktor [21]
I think it is y= 9/5 + 4x/5
7 0
3 years ago
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