HELP!


Please answer i)

HELP! Please Answer I)

Answers

Answer 1

Answer:

(i) The increase expected in the share price between the first year and the third year is $0.90

(ii) The 10th year

Step-by-step explanation:

(i) The given relation is [tex]V = 2.95+2\cdot log_{10}\left (10\cdot t + 1 \right )[/tex]

In the first year, we have t = 1, which gives;

[tex]V = 2.95+2\cdot log_{10}\left (10\times 1 + 1 \right ) = 2.95+2\cdot log_{10}\left (1 1 \right ) = \$5.03[/tex]

In the third year, we have t= 3 which gives;

[tex]V = 2.95+2\cdot log_{10}\left (10\times 3 + 1 \right ) = 2.95+2\cdot log_{10}\left (31 \right ) = \$5.93[/tex]

Therefore, the increase expected in the share price between the first year and the third year is $5.93 - $5.03 = $0.90

(ii) When the share price value becomes >$7.00, we have;

[tex]7 = 2.95+2\cdot log_{10}\left (10\cdot t + 1 \right )[/tex]

Which gives;

7 - 2.95 = 2·㏒(10·t + 1)

4.05/2 = ㏒(10·t + 1)

2.025 = ㏒(10·t + 1)

[tex]10^{2.025} = 10 \cdot t + 1[/tex]

105.93 = 10·t + 1

104.93 = 10·t

t = 104.93/10 = 10.493 ≈ 10.5 years which is within the 10th year.


Related Questions

what is the other way to solve besides multiplying both sides by a common factor

Answers

Answer:

Here's one way

Step-by-step explanation:

13) multiply each term by 24

9x - 32x = 96

-23x = 96, divide both sides by -23

x = -4.17

What is the equation of the line that passes through the point (8,-8) and has a
slope of - 2?

Answers

Answer:

y = -2x + 8

Step-by-step explanation:

y = mx + b

-8 = -2(8) + b

-8 = -16 + b

8 = b

y = -2x + 8

oof i read the question and done goofed frick my add

HELP ASAP PLEASE answer quickly ​

Answers

Answer:

A. [tex]\frac{3}{5}[/tex]

B. [tex]\frac{7}{10}[/tex]

C. B (you already got that right)

Step-by-step explanation:

To find the probability of something, we have to see how many times it happened over the total amount of attempts.

On Tuesday the target was hit 18 times in 30 attempts. So our probability fraction is [tex]\frac{18}{30}[/tex] which simplifies to [tex]\frac{3}{5}[/tex].

Looking at the total results, we can see Ben hit the target 84 times out of 120, so the fraction is [tex]\frac{84}{120}[/tex] which simplifies to [tex]\frac{7}{10}[/tex].

There’s always one rule of statistics/probability - the more data the better. If we want to create a more reliable probability, we’d want more data, and the total data gives us more than just Tuesday’s Data.

Hope this helped!

The Hernandez family ordered one jumbo pizza with a diameter of 20 inches, cut it into 15 equal slices, and had 3 slices left over after dinner. The Mullins family ordered two medium pizzas, each with a diameter of 12 inches, cut them into 8 equal slices each, and had 6 slices left over after dinner. How much pizza did the Mullins family eat as a fraction of the pizza the Hernandez family ate?

Answers

Answer: Mullins family eat [tex]\dfrac{9}{20}[/tex] of the pizza the Hernandez family ate.

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex] , where r is the radius

Given, Diameter of Hernandez family's pizza = 20 inches

Radius = [tex]\dfrac{20}{2}[/tex] = 10 inches

Area of Hernandez family's pizza  = [tex]\pi (10)^2=100\pi \text{ in.}^2[/tex]

Since, they divide pizza into 15 pieces , area of each slice = [tex]\dfrac{100\pi}{15}=\dfrac{20}{3}\pi\text{ in.}^2[/tex]

They left with 3 slices i.e. they ate 12 slices, area of all 12 slices = 12 x (area of each slice)

= [tex]12\times\dfrac{20}{3}\pi\text{ in.}^2= 80\pi\text{ in.}^2[/tex]

Diameter of Mullins family's pizza = 12 inches

Radius = [tex]\dfrac{12}{2}[/tex] = 6 inches

Area of Mullins family's pizza  = [tex]\pi (12)^2=144\pi \text{ in.}^2[/tex]

Since, they divide pizza into 8 pieces , area of each slice = [tex]\dfrac{144\pi}{8}=18\pi\text{ in.}^2[/tex]

They left with 6 slices i.e. they ate 2 slices, area of all 2 slices = 2 x (area of each slice)

= [tex]2\times18\pi\text{ in.}^2=36\pi\text{ in.}^2[/tex]

Since, [tex]\dfrac{36\pi}{80\pi}=\dfrac{9}{20}[/tex]

Hence, Mullins family eat [tex]\dfrac{9}{20}[/tex] of the pizza the Hernandez family ate.

Solve the following system using substitution. 1/3 x+2y=1 y=2/3 x-4

Answers

Answer:

4x+4y=1, 6x-y=1

x+y=4, x-y=2

x-y=9, x+y=6

Step-by-step explanation:

Answer:

x equals 27/5

Step-by-step explanation:

just substitute y into the first equation

formula of minimmum pressure​

Answers

P = W/A.
Where W =weight ,A =area

Last trigonometry question... plzzz heelllppp...thx​

Answers

Answer:

8.86 ( 3 S.F)

Step-by-step explanation:

Using Sine Rule,

AB/ Sin (41) = 13.5/ Sin (90)

AB = 8.856796891

= 8.86 cm (3 s.f.)

An ancient Greek was born on April 1st, 35 B.C. and died on April 1st, 35 A.D. How many years did he live?

Answers

Answer:

69 years

Step-by-step explanation:

Data provided in the question

Born date of an Ancient Greek = April 1st 35 BC

Diet date of an Ancient Greek = Aril 1st 35 AD

Based on the above information

We can say that

35 + 35 = 70

We deduct 1 as there is no zero

So, it would be

= 70 - 1 year

= 69 years

Hence, An ancient greek lives 69 years and the same is to be considered

what is the value of 3cubed

Answers

Answer:

27

Step-by-step explanation:

[tex]3^{3}[/tex] is basically just multiplying the number 3, three times. So 3x3x3. 3x3 is 9, and when you multiply 3 more, it is 27.

Answer:

Step-by-step explanation: 3, because when 3 is cubed you get 27.

Examine the diagram of circle A. Circle A has a radius of 4 and arc BD has length of 6.5. Circle C is a different circle with radius 6 and arc EF. Angle ECF is congruent to angle BAD. What is the length of arc EF? Enter your answer as a number, like this: 42.25

Answers

Answer:

the answer is 9.75 :)

Step-by-step explanation:

Using the given information, the length of arc EF in circle C is 9.75

Calculating the length of an arc

From the question, we are to calculate the length of arc EF

First, we will determine the measure of angle BAD

Let angle BAD = θ

From the question,

Length of arc BD = 6.5

Radius of circle A = 4

Using the formua,

[tex]Length \ of \ an \ arc = \frac{\theta}{360 ^\circ}\times 2\pi r[/tex]

Then,

[tex]6.5 = \frac{\theta}{360 ^\circ} \times 2\pi \times 4[/tex]

[tex]\theta = \frac{360 \times 6.5}{2\pi \times 4}[/tex]

[tex]\theta = \frac{2340}{8\pi }[/tex]

[tex]\theta = \frac{292.5}{\pi }^\circ[/tex]

Now, for the measure of arc EF in circle C

Since angle ECF and angle BAD are congruent, then

Angle ECF = [tex]\frac{292.5}{\pi }^\circ[/tex]

Thus,

Length of arc EF = [tex]\frac{\frac{292.5}{\pi}^\circ }{360 ^\circ} \times 2 \pi \times 6\\[/tex]

Length of arc EF = [tex]\frac{292.5^\circ }{\pi \times 360 ^\circ} \times 12 \pi[/tex]

Length of arc EF = [tex]\frac{292.5 \times 12}{360}[/tex]

Length of arc EF = 9.75

Hence, using the given information, the length of arc EF in circle C is 9.75

Learn more on Calculating the length of an arc here: https://brainly.com/question/12152333

#SPJ 2

4) Solve the problem for the compound events.
A bank has a special vault for valuable items. It has 3 dials that operate the combination. The
first dial has the numbers from 1 to 100, the second and third each have the 26 letters of the al-
phabet. In order to open the vault, the bank manager must correctly set each dial. How many
possible combinations are there for this vault?

Answers

Answer:

i think its 67600

Step-by-step explanation:

100*26=2600

2600*26=67600

El equipo de béisbol de los Gatos Salvajes de Ludlow, un equipo de las ligas menores de la organización de los Indios de Cleveland, juega 70% de sus partidos por la noche y 30% de día. El equipo gana 50% de los juegos nocturnos y 90% de los diurnos. De acuerdo con el periódico de hoy, ganaron el día de ayer. ¿Cuál es la probabilidad de que el partido se haya jugado de noche?

Answers

Answer:

0.5645

Step-by-step explanation:

De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow

Probabilidad de jugar de noche = 70% = 0.7

Probabilidad de ganar en la noche = 50% = 0.5

Probabilidad de jugar durante el día = 30% = 0.3

Probabilidad de ganar durante el día = 90% = 0.9

Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =

(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]

Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)

= 0.35 ÷ 0.35 + 0.27

= 0.35 ÷ 0.62

= 0.5645

La probabilidad de que el partido se haya jugado de noche = 0.5645

Solve for x. Enter your answer in the box. x =

Answers

Answer:

X =6

Step-by-step explanation:

24/12 : (5x+2)/16

Solve

Answer:

X=6

Step-by-step explanation:

Got right on test.

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number. If the numbers 32, What's the equation?

Answers

Answer:

Step-by-step explanation:

Hello,

let's note a and b the two digits, the number is then a*10+b

and the digits in revers mode give b*10 + a so we can write

   (1) a + b = 5

   (2) 10a+ b - 9 =10b + a

From(1) I get b = 5-a

I replace in (2)

10a + 5 - a - 9 = 10(5-a) + a = 50 - 10a = a = 50 - 9a

9a - 4 = 50 - 9a

18a = 50 + 4 = 54 so

a = 54/18 = 3

and then from (1) b = 5 - 3 = 2

So the number is 32

what is the 46th term of the arithmetic sequence with this explicit formula

Answers

Answer:

A. -146

Step-by-step explanation

46th term = -11 + ( 46 -1) (-3)

= -11 + (45)(-3)

=-11 -135

= - 146

Can someone please explain The measure of angle A to the nearest tenth of a degree is:

Answers

Answer:

A =19.5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin A= opp/ hyp

sin A = 3/9

Take the inverse sin of each side

sin ^-1 sin A = sin ^-1 (3/9)

A =19.47122063

To the nearest  tenth of a degree

A =19.5

Answer:

19

Step-by-step explanation:

inverse sin (1/3) = 19.47122060852

Triangle A B C is shown with its exterior angles. Angle B A C is (p + 4) degrees and angle A C B is 84 degrees. Exterior angle X B C is (3 p minus 6 degrees).
What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
m∠XBC =
°

Answers

Answer: 135

Step-by-step explanation:

took it on edg2020

Answer:

135

Step-by-step explanation:

Just took the test and got it right

Solve this please! And if you can tell me how and why

Answers

Answer:

Theres no solution ._.

Step-by-step explanation: Bc you have the 2 lines

Answer: No solution

Step-by-step explanation:

There are no values of x that make the equation true

Choose the equation that represents the line that passes through the point (2, 6) and has a slope of −5.

Answers

Answer:

y=-5x+16

Explanation:

We already know the slope, and in y=mx+b, m is the slope. So now we have y=-5x+b.

Next, since we do not know the y-intercept, we can substitute the y and x values we are given in the current equation we have, y=-5+b. Now we have 6=-5(2)+b.

Now we can solve for b.

6=-10+b

16=b. We know that b=16.

Therefore, the equation is y=-5x+16

If you graph it you’ll get 6=-5(2)-4
Where -4 is the y-intercept

A group of students were given a spelling test the table shows their mark Mark: 6,7,8,9,10 frequency:5,4,7,10,4 a) work out the range of the marks. B)how many students are in a group C) work out the mean mark of the group

Answers

Answer:

Step-by-step explanation:

From the information given,

Mark: 6,7,8,9,10

frequency:5,4,7,10,4

a) Range = highest mark - lowest mark

Range = 10 - 6 = 4

b) The number of students in the group is the sum of the frequency. Therefore,

Number of students = 5 + 4 + 7 + 10 + 4 = 30 students

c) Mean mark = (mark × frequency)/total frequency

[(6 × 5) + (7 × 4) + (8 × 7) + (9 × 10) + 10 × 4)]/ 30

Mean mark = (30 + 28 + 56 + 90 + 40)/30 = 244/30

Mean mark = 8.1

Answer: From the information given, Mark: 6,7,8,9,10 frequency:5,4,7,10,4 a) Range = highest mark - lowest markRange = 10 - 6 = 4b) The number of students in the group is the sum of the frequency. Therefore, Number of students = 5 + 4 + 7 + 10 + 4 = 30 studentsc) Mean mark = (mark × frequency)/total frequency[(6 × 5) + (7 × 4) + (8 × 7) + (9 × 10) + 10 × 4)]/ 30Mean mark = (30 + 28 + 56 + 90 + 40)/30 = 244/30Mean mark = 8.1

Step-by-step explanation:

I don't know this question. Help.

Answers

Answer:

-60

Step-by-step explanation:

-3 · 2 = -6 and 10⁴ · 10⁻³ = 10⁽⁴⁺⁽⁻³⁾⁾ = 10¹ = 10 so the answer is -6 · 10 = -60.

Find the value of x.
08*
ος
Ο Α. 58ο
Ο Ο Ο
Ο Β. 32ο
C. 669
D. 68ο

Answers

Answer:

x = 66°

Step-by-step explanation:

Hello,

This question involves use of rules or theorems of angles in a right angled triangle

<DAB + <BAC = 180°

Sum of angles on a straight line = 180°

98° + <BAC = 180°

<BAC = 180° - 98°

<BAC = 82°

Now, we can use <BAC to find x because some of angles in a triangle is equal to 180°

32° + 82° + x = 180°

Sum of angles in a triangle = 180°

114° + x = 180°

x = 180° - 114°

x = 66°

Angle x = 66°

The table compares the daily average temperature in a park (in degrees Celsius) and the number of people who visited the park that day. Can the number of people who visited the park be represented as a function of the daily average temperature?

Answers

Answer:

YES, the number of people who visited the park can be represented as a function of the daily average temperature.

Step-by-step explanation:

From the table of values given which defines the number of visitors to the park as a function of daily temperature, the temperature is the domain values (independent variable), while the number of visitors is the range values (dependent variable).

For any relation to be considered a function, as a principle, any given domain value must have exactly one range value. In other words, there must not be two different range values assign to one domain value.

This means, for the relation between temperature and number of visitors to be considered a function, it must not have a domain value that is mapped to more than one range value.

Examining the table given, if we map each domain value to the range value, we will find out that there are only 1 exact range value for a domain value.

Therefore, we can say: YES, the number of people who visited the park can be represented as a function of the daily average temperature.

Answer:

yes

Step-by-step explanation:

Instructions: Find the missing side. Round your answer to the
nearest ten

Answers

Answer:

trig function is tangent

tan(63)=x/19

multiply each side by 19:

tan(63)19=x

x=37.3

What is the area of the trapezoid shown below?

Answers

Answer:  78 units²

Step-by-step explanation:

Use Pythagorean Theorem to find the base of the triangle:

x² + 12² = 15²

x² + 144 = 225

          x² = 81

          x = 9

Now, separate the figure into two shapes --> triangle and rectangle.

[tex]A_{\triangle}=\dfrac{base\times height}{2}=\dfrac{9\times 12}{2}=54\\\\A_{\square}=length \times width = 12 \times 2 =24\\\\A_{trapezoid}=A_{\triangle}+A_{\square}=54+24=\large\boxed{78}[/tex]

You can also use the trapezoid rule:

[tex]A=\dfrac{b_1+b_2}{2}\cdot h\\\\\\.\quad = \dfrac{(9+2)+(2)}{2}\cdot 12\\\\\\.\quad = \dfrac{13}{2}\cdot 12\\\\\\.\quad =13\cdot 6\\\\\\.\quad = \large\boxed{78}[/tex]

The number of people contacted at each level of a phone tree can be represented by f(x) = 3^x where x represents the level.
What is x when f(x) = 27?
A. X = 2; At level 2, 27 people will be contacted.
B. x = 24; At level 24, 27 people will be contacted.
C. x = 3; At level 3, 27 people will be contacted.
D. x = 9; At level 9,27 people will be contacted.

Answers

Answer:

3

Step-by-step explanation:

Answer:

c is the correct answer

Step-by-step explanation:

here are some facts about units of length 18 ft=____yd and 3 ft= ___in

Answers

Answer:

18 ft = 6 yds

3 ft = 36 inches

Step-by-step explanation:

We know that 3 ft = 1 yd

Divide 18 ft by 3

18 ft /3 ft = 6 yds

We know that 1 ft = 12 inches

3 ft * 12 inches /ft = 36 inches

Answer:

[tex]\large \boxed{18 feet = 6 yards}[/tex]

[tex]\large \boxed{3 feet = 36 inches}[/tex]

Step-by-step explanation:

1 foot = 1/3 of a yard

Multiply both sides of this equation by 18

[tex]\large \boxed{18 feet = 6 yards}[/tex]

1 foot = 12 inches

Multiply both sides of the equation by 3

[tex]\large \boxed{3 feet = 36 inches}[/tex]

Hope this helps!

According to the graph, what is the value of the constant in the equation
below?
A. 10
B. 20
C. 100
D. 4

Answers

Answer:

  C.  100

Step-by-step explanation:

You can rearrange the equation to say ...

  (Height)(Width) = Constant

Multiply any of the coordinate values shown, and you will see the constant is 100.

  4×25 = 5×20 = 10×10 = 20×5 = 100

The constant is 100.

Divide. 1 ÷ 0.0064. please my dear friend​

Answers

Answer:

156.25

Step-by-step explanation:

[tex]\frac{1}{0.0064}\\\\\frac{10000}{64}\\ then divide \[/tex]

[tex]\frac{10000}{64} = \frac{2500}{16} =\frac{625}{4} = 156.25[/tex]

Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60°. What is the length of the third side of the triangle?

Answers

Answer:

I hope it will surely help uh.....

Answer:

sqrt of 7

Step-by-step explanation:

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