A simple index of three stocks have opening values on day 1 and day 8 as
shown in the table below.
Day 1
No. shares
Price per
Day 8
No. shares Price per
share
8000
$3.90
5000
$2.50
2000
$6.10
Stock ABC
Stock XYZ
Stock QRS
share
$4.25
$2.90
$6.40
8000
5000
2000
What is the rate of change of this simple index over one week? Round your
answer to the nearest tenth.
A. -8.4%
OB. 7.7%
Ο Ο Ο Ο
C.-7.7%
D. 8.4%

Answer:

The length of the arc is 6.28 inches

Step-by-step explanation:

Given

[tex]\theta = 60[/tex]

Required

Length of the arc

This is calculated as:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

[tex]L = \frac{60}{360} * 2 * \frac{22}{7} * 6[/tex]

[tex]L = \frac{15840}{2520}[/tex]

[tex]L = 6.28in[/tex]

Answer:

Option (D)

Step-by-step explanation:

Given equation is,

[tex]8e^{2x+1}=4[/tex]

Taking natural log on both the sides of the equation,

[tex]\text{ln}(8e^{2x+1})=\text{ln}(4)[/tex]

[tex]\text{ln}(2^3)+\text{ln}(e^{2x+1})=\text{ln}(2^2)[/tex]

3ln(2) + (2x + 1)[ln(e)] = 2ln(2)

2n(2) - 3ln(2) = (2x + 1)

2x = -ln(2) - 1

[tex]2x=\text{ln}(\frac{1}{2})-1[/tex]  [Since, -ln(2) = ln(1) - ln(2) = [tex]\text{ln}(\frac{1}{2})[/tex]]

[tex]2x=\text{ln(0.5)}-1[/tex]

[tex]x=\frac{\text{ln(0.5)-1}}{2}[/tex]

Therefore, Option (D) will be the correct option.

A = p(1+r)^t

1600 = p(1+0.08)¹⁰

P = 1600/2.1589

P= 741.12

741.12 dollar money did you originally deposit into your savings account!

Answer:

Simple interest:  Principal = $2000

Annual compound interest:  Principal = $1380.59

Step-by-step explanation:

As the question does not stipulate which type of interest was applied, please find below calculations for both simple interest and annual compound interest.

Simple Interest Formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for P:

[tex]\implies \sf 1600=P(0.08)(10)[/tex]

[tex]\implies \sf 1600=0.8P[/tex]

[tex]\implies \sf P=\dfrac{1600}{0.8}[/tex]

[tex]\implies \sf P=2000[/tex]

Therefore, the initial deposit (principal) was $2000.

.....................................................................................................

Annual Compound Interest Formula

[tex]\large \text{$ \sf I=P\left[\left(1+r\right)^{t} -1\right]$}[/tex]

where:

Given:

Substitute the given values into the formula and solve for P:

[tex]\implies \sf 1600=P\left[\left(1+0.08)^{10}-1\right][/tex]

[tex]\implies \sf 1600=P\left[\left(1.08)^{10}-1\right][/tex]

[tex]\implies \sf 1600=P\left[2.15892...-1\right][/tex]

[tex]\implies \sf 1600=P\left[1.15892...\right][/tex]

[tex]\implies \sf P=\dfrac{1600}{1.15892...}[/tex]

[tex]\implies \sf P=1380.5897...[/tex]

Therefore, the initial deposit (principal) was $1380.59 (nearest cent).

Learn more about simple interest here:

https://brainly.com/question/27743947

Learn more about compound interest here:

https://brainly.com/question/27747709

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The height is 8.4.

Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).

Answer:

81

Step-by-step explanation:

go hgv thx bgg TV vvt g h.c g ccx d

Answer:

I think the answer is 75.

Step-by-step explanation:

because 35 + 70 is equal to 105. So now we will just subtract 105 by 180. which will give us 75.

Answer:

Step-by-step explanation:

f'(x)=-sin x

[tex]f'(x)=\frac{cos \frac{\pi }{3} -cos (\frac{-\pi }{3}) }{\frac{\pi }{3} -(\frac{-\pi }{3}) } \\-sin x=\frac{\frac{1}{2} -\frac{1}{2} }{\frac{\pi }{3} +\frac{\pi }{3} } \\sin x=0\\at x=c ,sin c=0,c=0[/tex]

c=0∈(-π/3,π/3)

Answer:

C. Never

Step-by-step explanation:

The legs of a right triangle are never longer than the hypotenuse. Otherwise, the legs would never connect to the hypotenuse.

Answer:

B

Step-by-step explanation:

you are comparing percent to percent and total boys to total class.

Answer:

P/100=6/9

Step-by-step explanation:

P represent percentage and percentage is 100. so

Answer:

1536 boys.

Step-by-step explanation:

Quite simple! 51.2% is 0.512, which we can use to calculate the number.

[tex]3000 * 0.512 = 1536[/tex] boys.

Alternative notation: 3000 * 51.2% = 1536

Answer:

B.

Step-by-step explanation:

$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.

$20 is the constant, as it costs $20 to join the club. Since this doesn't change, it is the constant.

So, we would have the equation:

f(v) = 2.25v + 20

f(v) is the total cost.

B is your answer because it is the only one with the correct equation.

Hope this helps!

Answer:

341 in sq

Step-by-step explanation:

When you are finding the area of trapezoids you have to do b1+b2/2 times height because there are two bases you have to include them both so adding 40 and 22 gives 62 and you have to divide that by 2 because the numbers will be too big and way off so 62/2 = 31 and you multiply that by the height to get 341 in sq. Hope it helps :P

Answer:D hope it helped

Step-by-step explanation:

Answer:

d I think tbh I don't know

Step-by-step explanation:

you take them and times it by the number you had

Answer:

20 divided by 5=4

Step-by-step explanation:

5x4=20. 20 divided by 5 is equal to 4. They are the same because they use the same number but just flip the sign and equation.

If this has helped please mark as brainliest

Answer:

Radius, r = 2.50 inches

Step-by-step explanation:

Given the following data;

Slant height of cone = 6 inches

Lateral surface area (LSA) of cone = 47.1 sq inches

To find the radius of the cone;

Mathematically, the lateral surface area of a cone is given by the formula;

LSA = πrl

47.1 = 3.142 * r * 6

47.1 = 18.852r

Radius, r = 47.1/18.852

Radius, r = 2.50 inches

Answer:

24

Step-by-step explanation:

Total number of students and adult per class = 28 + 7 = 35

Van capacity = 9

Number of classes = 6

Total number of students including adults = (35 * 6) = 210

Number of vans needed = total / van capacity

= 210 / 9

= 23.333

Atleast 24 vans

The ratio of Lujain's earning to total earning is equal to $100.

Given the following data:

To determine the ratio of Lujain's earning to total earning:

In this exercise, you're required to calculate the total amount of money that Lujan would earn from the given ratio. Thus, we would solve as follows:

For a ratio of 10:

[tex]Amount=\frac{10}{24} \times 240\\\\Amount=\frac{2400}{24}[/tex]

Amount = $100.

Read more on ratio here: brainly.com/question/13513438

Answer:

Solution given:

(x1,y1)=(-4,-5)

(x2,y2)=(0,-8)

distance=?

we have

distance=[tex] \sqrt{(x2-x1) ²+(y2-y1) ²}[/tex]

d=[tex] \sqrt{(0+4)²+(-8+5) ²}[/tex]

d=[tex] \sqrt{25}[/tex]

d=[tex] 5[/tex]units

[tex] 5[/tex]units I travelled.

Answer:

it opens down and the vertex is (2,8)

Step-by-step explanation:

I don't know if there were other answer options you were given but this is what I came up with

Answer:

648 sq meters is correct.

Step-by-step explanation:

Multiply the two diagonals (18 + 18 = 36)(15 +21 = 36), then divide by 2

(36)(36)/2 = 1296/2 = 648

Answer: Crissy is correct

Step-by-step explanation:

Given

The volume of the rectangular prism is [tex]360\ units^3[/tex]

The height of the prism is [tex]h=10\ units[/tex]

Suppose A is the area of the base

So, the volume is given by

[tex]\Rightarrow V=A\times h[/tex]

Insert the values

[tex]\Rightarrow 360=A\times 10\\\Rightarrow A=36\ \text{or}\ 6\times 6\ units^2[/tex]

As 36 is the perfect square of 6, therefore, the base is a square with the dimension of [tex]6\times 6\ units^2[/tex]

Crissy's claim is correct.  

Answer:

Use Cross product Or Multiply both sides by 6 to get x alone

x/6 = 4/5

Multiplying 6 on both sides

we have

x=4/5 x 6

x=24/5 = 4.8

Answer:

3 can

Step-by-step explanation:

there

ANSWER:

A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.

A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.

A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

Step-by-step explanation:

HOPE IT HELPS

#CARRYONLEARNING

Answer:

1, 3, 5. *please report my answer if it is incorrect.*

Step-by-step explanation:

A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.