(b) An Investment is estimated to grow at the rate al 15% per annum. If the worth of the Investment now is ¢850,000 i. What will its worth be in the 6th year? What is the percentage increase in its worth after 6th year? In what year will the investment worth ¢3.23million ?​

Answers

Answer 1

Answer:

~9.6 years it will be worth 3.23 mil.    

Step-by-step explanation:

This problem requires use of the growth formula.

PART 1:

Equation:

[tex]3,230,000 = 850,000 * (1.15)^6[/tex]

By solving this you get:

A valuation of $1,966,101.65078125 after 6 years

PART 2:

Equation:

[tex]3,230,000 = 850,000*(1+.15)^x[/tex]

By solving this (which im too lazy to show the steps for) you get:

x = years

x = ~9.6 years / 9.55196417 years


Related Questions

id
11. A chessboard has diagonals of length
40 cm. What is the length of each side of the
board, to the nearest tenth of a centimetre?
Explain your reasoning.

Answers

Answer:

√800 = 28 cm

Step-by-step explanation:

Your c value is 40cm beacause c=length of the hypotenuse, or in this case the diagonal of the chess board.

You now have 2a2=402.

Start solving it:

2a2=402

2a2=1600

(2a2)/2=1600/2

a2=800

√(a2)=√800

a=√800 cm

You can plug this back in to check your answer, and also be sure that a=b is true.

a2+b2=c2

(√800)2+(√800)2=c2

800+800=c2

1600=c2

√1600=√c²

40=c

The graph shows two lines, A and
How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)

Answers

Answer:

there muse be at least 2 solution because we need it to draw lines at exact direction

Answer:

1 solution

Step-by-step explanation:

A solution to a system of lines in a graph is their intersection point. On the graph shown, there is only 1 point at which the lines intersect, therefore, 1 solution.

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 14 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?

Answers

Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex]z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.

More can be learned about the normal distribution at https://brainly.com/question/24663213

In the translation T of the graph below, use the figure to describe the Following transformation.

Answers

Answer:

  (a)  (x -6, y -2)

Step-by-step explanation:

You seem to want to see the inverse of the translation T, applied twice. Your notation seems to mean ...

  For T = (x, y) +(a, b)

  T⁻¹ = (x, y) -(a, b)   ⇒   T⁻² = (x, y) -2(a, b)

__

Your given transformation is ...

  T = (x, y) +(3, 1)

which means ...

  T⁻² = (x, y) -2(a, b) = (x, y) -2(3, 1)

  T ⁻² = (x -6, y -2)

The circumference of circles

Answers

Answer:

circumference = 31.43 cm

Step-by-step explanation:

circumference = 2πr = 2 × 22/7 × 5 = 220/7

= 31.43 cm

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

Circumference :

[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]

where,

r = radius = 5 cm

now, let's calculate circumference ~

[tex]\qquad \tt  \dashrightarrow \:c = 2 \times \pi \times 5[/tex]

[tex]\qquad \tt  \dashrightarrow \:c = 10 \pi \: \: cm[/tex]

Now, let's plug in approximate value of pi :

[tex]\qquad \tt  \dashrightarrow \:c = 10\times 3.14 \: \: [/tex]

[tex]\qquad \tt \dashrightarrow \:c = 31.4\: \: cm[/tex]

In the scale drawing below

Answers

Answer:

47.5m

Step-by-step explanation:

convert cm to metres 1.9cm×5=9.5m

Then times the side lengths with the amount of sides 9.5m×5=47.5m

solve for x ~
[tex]46x - 23x = 2[/tex]


thankyou ~​

Answers

Answer: x = 2/23

Step-by-step explanation:

[tex]46x-23x=2[/tex]

[tex]\mathrm{Add\:like\:terms:}\:46x-23x=23x[/tex]

[tex]23x=2[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}23[/tex]

[tex]\frac{23x}{23}=\frac{2}{23}[/tex]

[tex]$$Simplify[/tex]

[tex]\bold{x=\frac{2}{23}}[/tex]

Answer:

x = 2/23

Step-by-step explanation:

Inthis question we are given with one equation that is 46x - 23x = 2 and we have asked to find the value of x or solve for x .

So , from here we are solving :

[tex] \longmapsto \: 46x - 23x = 2[/tex]

Step 1 : Taking 23x common at left hand side :

[tex] \longmapsto \: 23x(2 - 1) = 2[/tex]

Step 2 : Subtracting 1 with 2 :

[tex] \longmapsto \:23x = 2[/tex]

Step 3 : Transposing 23 to right hand side :

[tex] \longmapsto \: \red{ \boxed{x = \frac{2}{23} }}[/tex]

Therefore, value of x is 2/23

Verifying the answer :

We are verifying our answer by substituting the value of x in the given equation .

[tex] \longmapsto \: 46(\frac{2}{23}) - 23( \frac{2}{23} ) = 2[/tex]

Now , calculating :

[tex] \longmapsto \: \cancel{46}(\frac{2}{ \cancel{23}}) - \cancel{23}( \frac{2}{ \cancel{23}} ) = 2[/tex]

[tex] \longmapsto \: 4 - 2 = 2[/tex]

[tex] \longmapsto \: 2 = 2[/tex]

[tex] \longmapsto \: L.H.S = R.H.S[/tex]

[tex] \longmapsto \: Hence, \: Verified . \: [/tex]

Therefore , our value for x is correct .

#Keep Learning

Write 2^3 multiply √ 2 as a single power of 2.

Answers

[tex]2^3 \cdot \sqrt 2\\\\=2^3 \cdot 2^{\tfrac 12}\\\\=2^{3+ \tfrac 12}\\\\=2^{\tfrac 72}[/tex]

Answer:

2^3 x 2^1/2 = 2^7/2

Step-by-step explanation:

Law of indices state that:

a^n × a^y = a^n+y

root 2 is the same thing as 2^1/2

so we can write this equation as;

2^3 × 2^1/2 = 2^3+1/2 = 2^7/2

What’s the circumference of circles

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

Circumference :

[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]

where,

r = radius = 3 yd

now, let's calculate circumference ~

[tex]\qquad \tt  \dashrightarrow \:c = 2 \times \pi \times 3[/tex]

[tex]\qquad \tt  \dashrightarrow \:c = 6 \pi \: \: yd[/tex]

Now, let's plug in approximate value of pi :

[tex]\qquad \tt  \dashrightarrow \:c = 6 \times 3.14 \: \: [/tex]

[tex]\qquad \tt \dashrightarrow \:c = 18.84 \: \: yd[/tex]

What is the value of the expression below when x=4 and y=3?
The question is 5x to the 3rd power plus 4y to the 3rd power

Answers

[tex]x = 4\\y = 3[/tex]

Question is [tex]5x^3 + 4y^3[/tex]

We know what [tex]x[/tex] and [tex]y[/tex] are.

[tex]5x^3 + 4y^3 = 5 \times 4^3 + 4 \times 3^3\\= 5 \times 64 + 4 \times 27\\= 320 + 108\\= 428[/tex]

what is 1 1/2 multiply 12

Answers

Answer:

66

Step-by-step explanation:

hello :

1 1/2 multiply 12 means : (11×12/2)= (11×6×2)/2 =66

Equivalent ratio for 3:7 is

Answers

given:

3 : 7

to find:

equivalent ratios for 3 : 7.

solution:

6 : 14

9 : 21

12 : 28

15 : 35

18 : 42

( to find equivalent ratios just multiply or divide both the sides by the same number. )

Answer:

The answer is 6:14, 9:21,  12:28, 15: 35, and 18:42

Step-by-step explanation:

What you need to do is take the ratio and you can turn it into a fraction!so take 3:7 and turn it into 3/7now from there you just need to multiply the numerator and the denominator by the same number and it will always equal the ratio of 3:7

EXAMPLE-- 3/7 and multiply the numerator and denominator by 5 to get 15:35 THIS IS TRUE

To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.

Part A
Question
How many different orders of top-three finishers are possible?

Drag the tiles to the correct locations on the equation. Not all tiles will be used.

Answers

Using the arrangements formula, it is found that 6 different orders of top-three finishers are possible.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, the possible orders are arrangements of 3 elements, hence, the number of orders is given by:

[tex]A_3 = 3! = 6[/tex]

More can be learned about the arrangements formula at https://brainly.com/question/25925367

#SPJ1

A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V(r) = 8πr2 + πr3, where r is the radius in feet. For what value of r does the tent have a volume of 311 ft3?

Answers

Answer:

Check this explaination below

Step-by-step explanation:

Check the attached picture

Find SU, TU, and ST.

Answers

Answer:

SU=6

TU=6

ST=12

Step-by-step explanation:

SU and TU are equal because their hypotenuses are equal (10).

With this knowledge, you know that 2x+2=3x.

Subtracting 2x from both sides shows that x=2, so you can substitute that into the original line segment values in order to get 6 for both SU and TU. Double this to find the value of ST (12).

Find the surface area of the prism. Write your answer as a fraction or mixed number
2/3ft
2/3ft
2/3ft

Answers

12.94 is the total surface area lateral surface area 8.94 bottom surface area is 4

Find the volume it’s homework I need help with

Answers

The answer is 1. 4x4x3 = 48 the whole volume 2. 48-4x2= 40.

What is the surface area of the cylinder with height 8 ft and radius 3 ft? Round your
answer to the nearest thousandth.


A: 186.885

B: 195.004

C: 205.132

D: 207.345

Answers

Given↷Height of the cylinder ⇢8ftRadius of the cylinder ⇢3ftTo find↷Surface Area of the cylinderAnswer↷207.345Solution ↷

We know that,

The surface of a cylinder is given by,

2πr(r + h)h= heightr= radius

so,

the surface area of the given cylinder would be,

⇢2π*3(3+8)⇢6π*11⇢66π⇢207.345

[tex]\bold{ANSWER:}[/tex]
OPTION D

[tex]\bold{EXPLANATIONS:}[/tex]

The flower shop makes bouquets with ten flowers in each bouquet.

The florist said she can't make any bouquets because she has 207 flowers and there is a 0 in the tens place of 207!

Do you agree or disagree with the florist? Explain why in a full sentence below.

Answers

I agree with with the florist because when you divide 207 by 10 you will get 20.7. This means that the florist could make 20 bouquets but seven flowers would be left out.
Hope this helps and please mark brainliest!

PLEASE HELP WILL MARK BRAINLIEST!!

Answers

A because a ray is a set of straight lines that pass through a point so I think it’s A

Find the seperate equation from 2x² - 5xy + 2y²


Please can someone answer this...
I'll mark as BRAINLIEST...​

Answers

Answer:

There is two simple equations one where you take out x as a comman factor and y as a common factor

Step-by-step explanation:

x(2x - 5y+ 2y squared)

Y(2x squared - 5x + 2y)

Sorry I don't know how to do the sqaure thingy but that's how you find two separate equations


A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0506 Do these sample results provide strong evidence against that belief?

Construct a 95% confidence interval estimate of the proportion of boys in all births.

Answers

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

[tex]n = 864, \pi = \frac{426}{864} = 0.493[/tex]

Then, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526[/tex]

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Need help DONT understand can someone answer

Answers

Here you go :)) have a good day/night

Find f(x) and g(x) such that h(x) = (fog)(x). Let g(x) = 7x + 2.

h(x) =6/square root of (7x+2)

Answers

Answer:

f(x) = 6√7

Step-by-step explanation:

f{g(x)}=h(x)

f(7x+2)=6√7x+2

let y = 7x+2

x= (y-2)/7

f(x)= 6 √7(y-2)/7+2

Thus, f(x) =6√7

The population of a city increases by 0.7% per year. If this year's population is
390,000, what will next year's population be, to the nearest individual?

Answers

Answer:

392,730

Step-by-step explanation:

This increase will be over one year which will just be a 0.7% increase

to 390,000

0.7% of 390,000 is 2730

(0.007 * 390,000 = 2730)

390,000 + 2730 = 392,730

Or more simply we can add the increase in percentage to 1 for our multiplier

390,000 * 1.007 = 392,730

Fill in the blanks to complete the equation that describes the diagram.

Answers

Answer:

-3+-3=-6

Step-by-step explanation:

start from the right go to the left.

+- = a negative gain

Which expression is equivalent to

Answers

Answer:

The second expression

Step-by-step explanation:

[tex]\sum_{n=3}^{20}{n(n+1)}=\sum_{n=3}^{20}{(n^2+n)}=\sum_{n=3}^{20}n^2+\sum_{n=3}^{20}n[/tex]

You can split up sums.

(WORTH 100 POINTS I WILL GIVE BRAINLY)

Answers

Answer:

To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.

Answer:

To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.

Step-by-step explanation:

What is an externality

Answers

Answer:

Externalities refer to situations when the effect of production or consumption of goods and services imposes costs or benefits on others that are not reflected in the prices charged for the goods and services being provided.

the picture below is an example of what it looks like

WHAT EXTERNALITY IS : externality is a economic cost or sometimes a benefit that is the´´by product´´ of the economic activity. the activity that is allacated outside of the system. the resources are likely to be misallocated when there is a externality.

the fact of existing outside the perceiving subject.

80, 85 ,53 , 68 , 99, 87 73, 88, 75, 76, 78, 79, 91 , 95 compute mean of the data

Answers

The computer what of the mens of the data would have to to be 87

Answer:

80.5

Step-by-step explanation:

80 + 85 + 53 + 68 + 99 + 87 + 73 + 88 + 75 + 76 + 78 + 79 + 91 + 95 = 1,127

 mean = total sum / numbers of numbers

  mean = 1,127 / 14

    = 80.5

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