Explain why the amount of money in the account at the end of the first year is given by the formula with n as the exponent: P = P∨0 (1 + r/n)^n

Answers

Answer 1

Answer:

This is the formula you use for someone investing in money. The formula is actually supposed to be: A=P(1+).

A is the total amount, P is the principal amount (the initial; original), r is percent (%) rate in decimal form, n is frequency, and t is the amount of years.

Step-by-step explanation:


Related Questions

find the area of circle o if DCBO is a rectangle and DB measure 10 units

Answers

Answer:

[tex]100\pi[/tex]

Step-by-step explanation:

Step 1: Identity the radius.

Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,

OC=OE.

Step 2: Consider the rectangle.

All diagonals in a rectangle are congruent so this means

DB= OC ( OC is also a diagonal).

Thus, OC= 10 units.

Step 3: Analyze

So this means OE is also 10 units as well.

Since we know the length of the radius, Use the area of circle,

[tex]\pi {r}^{2} [/tex]

[tex]\pi( {10}^{2} ) = 100\pi[/tex]

So the area of a circle is 100 pi.

Answer:

  314.2 square units

Step-by-step explanation:

The diagonals of a rectangle are the same length, so segment OC is the same length as segment DB: 10 units. OC is a radius of the circle, which means the circle's radius is 10 units.

The area of a circle is given by ...

  A = πr²

  A = π(10 units)² = 100π units²

  A ≈ 314.2 units²

The area of circle O is about 314.2 square units.

Find the values of x for which the denominator is equal to zero for y=3x+5/x-6.
x = −5
x = 6
x = −6
none

Answers

Answer:

x=6 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

what is the equation of the following graph?

Answers

Answer:

Step-by-step explanation:

When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:

F - function (sine or cosine)

P - period

A - amplitude

R - reflections

H - horizontal/phase shift

M - midline

Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.

Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]

Hope this helps :)

find the value of x in the diagram

Answers

Answer: there is something off screen i cant see so i cant help you 183- what?

Step-by-step explanation:

6. In June, Clarissa used 1 gigabytes
of data on her cell phone. Given that
June has 30 days, how much data did
she use on average per day?

Answers

Answer:

33.33 megabytes per day on average.

Step-by-step explanation:

Ratio and Proportion

If 30 days = 1 Gb
Then 1 day = 1/30 = 0.033333GB
0.033333GB = 33.333 MB
Hence she used 33.333MB each day

Briana has 3/4 pound of rabbit food. She feeds her rabbit 1/12 pound each day. How many days can Briana feed her rabbit with the food she has?

Answers

The answer is 9 days. I have attached my working with it. Hope this helps!
Answer: 3 pounds

Hope this helps you!

R\ {0}→→ Ris defined by Jff: 1 f(x)=x³-1/x³-1then show that 2 f(x) + f(1/x)=0.

Answers

[tex]\orange\bigstar \bold{ solution}[/tex]

[tex]\bold{f(x) = x³ - \frac{1}{x³ } }[/tex]

[tex]\bold{f ( \frac{1}{x} )= \frac{1}{x³} -x³ } [/tex]

[tex]\bold{f (x) + f (\frac{1}{x}) = (x³- \frac{1}{x³} ) + ( \frac{1}{x³} -x³)}[/tex]

[tex]\bold{ = 0 }[/tex]

trigonometric formulas

Answers

Answer:

all shown in the picture !

Step-by-step explanation:

also shown in the picture

How does Algebra act as a tool to improve communication

Answers

It is a tool as it represents the language of patterns.

It is also a means of working with abstract notions and then applying them, which frequently leads to the formation of generalisations and insights outside of the original context.

At the neighborhood grocery, 4.5 pounds of chicken breast cost $49.59. How much would it cost to buy 2 pounds of chicken breast?

Answers

$22.04 is how much 2 pounds cost

please help I will mark BRAINLIEST ​

Answers

Answer:

Your answer is t>28

Have a nice day!

mark as brainliest

Answer:

T>28

Step-by-step explanation:

Riley has completed 6 of the 30 pages she was assigned for homework. What percentage of her homework does Riley have left to complete?​

Answers

Answer:

80 Percent

Step-by-step explanation:

Since she has done 6/30 pages, she has 24/30 more pages to complete. Convert 24/30 to a decimal by dividing 24 by 30 to get the percentage, which is 80 percent

Hopefully this helps - let me know if you have any questions!

AB= 7 and BC= 5. Find AC.
-
A) 9
B) 12
D) 8
C) 18

Answers

Answer:

B

Step-by-step explanation:

It would help if you can actually show the points

SOLVE ASAP PLEASE Point theif = ban

Answers

Answer:

Given dimensions of room:

length = 12 ftwidth = 14 ftheight = 8 ft

Given cost of materials:

floor tiles = $4 per ft²wall & ceiling paint = $16 per 146 ft²

Total square feet of floor = length × width

                                          = 12 × 14

                                          = 168 ft²

Total cost of flooring = $4 × 168

                                   = $672.00

Total square feet to be painted = area of walls + area of ceiling

                                                    = 2(12 × 8) + 2(14 × 8) + (12 × 14)

                                                    = 584 ft²

Total cost of paint = (584 ÷ 146) × $16

                              = $64.00

Total cost to tile and paint the room = $672 + $64

                                                            = $736.00

is 1.3 greater than 1.52

Answers

NO IT IS NOT BECAUSE 1.3 IS 1.30, WHICH IS NOT GREATER THAN 1.52.

How do you graph y=-1/3x

Answers

Step-by-step explanation:

it is negative so the slope must go downwards from left to right. since it is 1/3, for every 3 to the right, you go one down.

Consider the polynomial function g(x) = 8x5 + ax4 + 5x + 20, where a is an unknown real number. If (x+4) is a factor of g(x), what is the value of a?

Answers

[tex]g(x) =8x^5 + ax^4 +5x +20 \\\\\text{If}~ x +4 ~ \text{is a factor of g(x) then,}~ \\\\g(-4)=0\\\\\implies 8(-4)^5 +a(-4)^4+5(-4) +20 = 0\\\\\implies 256a -8192 = 0\\\\\implies a = \dfrac{8192}{256} = 32[/tex]

what should be the rate of interest to earn an 45000 as interest wale rupees 50000 easy in investment for 6 year​

Answers

Answer:

5

Step-by-step explanation:

Choose the correct graph of the function y=-1/2√x+3+2

Answers

Find y intercept

[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{x+3}+2[/tex]

[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{0+3}+2[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{-\sqrt{3}}{2}+2[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{4-\sqrt{3}}{2}[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{4-1.732}{2}[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{2.368}{2}[/tex]

[tex]\\ \rm\rightarrowtail y=1.184[/tex]

y intercept=(0,1.2)

Option A

Vhat is the probability of flipping a coin 11 times and getting heads 3 times?
Found your answer to the nearest tenth of a percent.

Answers

Answer:

the answer should be 21 if it's there if I'm wrong let me know

Find the perimeter and area of the following triangle.

Answers

Answer:

perimeter=21 area=12

Step-by-step explanation:

perimeter- 5+6+10=21

area- b x h x 1/2

6x4/2

24/2

12

26.95 divided by -5 1/2. can someone show me how to do it please?

Answers

Answer:

-4.9

Step-by-step explanation:

Since the number 26.95 has two decimal places, it can be turned into a whole number with a denominator having two zeroes; 100

        2695

         100

Then change -5 1/2 into an improper fraction; = -5 × 2 + 1

                                                                                    2

                                           = -11/2

2695 ÷ ( -11 )

 100         2

  Reciprocate (put denominator as numerator and vice-versa ) the equation after the ÷ sign. After doing so, the ÷ sign changes to × sign.

Hence:   2695 × ( 2 )

                 100      -11

Then, cross multiply.

2695 ÷ ( -11 )   =  -245

          100 ÷ 2              50

     -245 ÷ 50

         = -4.9

 

Answer: its -4.9

Step-by-step explanation:

The sphere below has a radius of 25 cm.
O
25 cm
Work out the volume of the sphere.
Give your answer correct to 1 decimal place.
Volume of sphere= tr3
cm3

Answers

Answer:

65449.8 cm3

Step-by-step explanation:

We start with the volume formula for a sphere: 4/3 πr3

We start with subbing in 25 to r, then we cube 25, which is equal to 15625.

We multiply 4/3 and pi. And lastly we multiply what we got by 15625 and either round the answer or fphaving fixed your calculator.

which of the following are polynomials

Answers

Answer:

I think so Option D is the correct answer

When 58,511 is divided by 21, the quotient is 2,786 R ___.

Numerical Answers Expected!

Answer for Blank

Answers

If you take the answer, 2786 and multiple by 21

You get 58,506

Which if you subtract from 58,511 you would get 5

Which is r

A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the
sphere which has a circumference of 489.84 yd. What is the surface area of the sphere? Use 3.14
for
The surface area of the sphere is about yd?.
(Type an integer or decimal rounded to the nearest hundredth as needed.)

Answers

Answer:

76,400

Step-by-step explanation:

I think this is right, not sure though.

Surface area of sphere:

[tex]4\pi \times r {}^{2} [/tex]

Circumference :

[tex]2(\pi \times r)[/tex]

489.84 = 2 × 3.14 × r

2 × 3.14 = 6.28

489.84 = 6.28 × r

radius = 489.84 ÷ 6.28

R =78

Surface Area = 4 × 3.14 × (78)^2

Surface area = 76,415.04

= 76,400

An athlete runs in a straight line along a flat surface. He starts from rest and for 20 seconds accelerate at a constant
rate. In this first 20 seconds he covers a distance of 100m. For the next 10 seconds he runs at a constant speed and
then decelerates at a constant rate for 5 seconds until he stops.
a) What is the total distance that he ran?
[5]
Another athlete runs along the same track, starting from rest and she accelerates at the same rate as her friend. She
however only accelerates for 10 seconds before running at a constant speed.

Answers

Answer:

probably 200

Step-by-step explanation:

or something like that

if you answer this question you will get 30 points

Answers

Answer:

2 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

1+1 is 2

What is 1/3 of 9/5 cookies?

Answers

Answer:

9/15 (0.6)

Step-by-step explanation:

(9/5) x(1/3)= 9/15

Answer:

32\15

Step-by-step explanation

a land mass is roughly in the shape of a rectangle whose perimeter is 1200 miles the width is 120 miles less than the length find the length and the width



PLEASE HELP ASAP!!! IM STUCK ON THIS

Answers

Answer:

Length: 360. Width: 240.

Step-by-step explanation:

360 * 2 = 720

240 * 2 = 480

720 + 480 = 1,200

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