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In what time will 5120 amount to 7290 at 12 1/2% per annum compounded annually?

Answers

Answer 1

Answer:

The time will be "3 years".

Step-by-step explanation:

The given values are:

Principle,

P = 5120

Amount,

A = 7290

Rate,

r = 12.5

Time,

n = ?

As we know,

⇒  [tex]A = P[1+\frac{r}{100} ]n[/tex]

On substituting the values, we get

⇒  [tex]7290=5120[1+\frac{12.5}{100} ]n[/tex]

On applying cross-multiplication, we get

⇒  [tex]\frac{7290}{5120}=[1+\frac{125}{100}\times 100 ]n[/tex]

⇒  [tex]\frac{9}{8}\times 3=[8+\frac{1}{8} ]n[/tex]

⇒  [tex]n = 3 \ years[/tex]    


Related Questions

determine the domain of the following graph

Answers

Answer:

[-5, 10) or you can write [tex]-5\le x < 10[/tex]

Step-by-step explanation:

The domain is the set of all values of x used in the function. Scan across the graph from left to right (much as you do when reading). The first point you find on the graph has an x-coordinate 5 (see the solid dot?). Then, as you continue reading across the graph, there are values of x used until you get to 10. The dot at x = 10 is open, not filled in. That indicates that the number x = 10 is NOT used by the function.

So the domain is all real numbers greater than or equal to -5 and less than 10.

[-5, 10) is called interval notation; a square bracket means the value next to it IS used by the function, a parenthesis means the value next to it is NOT used.

what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction

Answers

Answer: The answer is A

Step-by-step explanation:

A/4x+B/x+7

The correct form of the partial fraction decomposition for the given expression is Option A

What is Partial Fraction Decomposition ?

Partial Fraction Decomposition is the method of simplifying rational expressions.

The expression given is

[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]

Applying Partial Decomposition

[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]

It can be written as

[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]

Therefore Option A is the answer.

To know more about Partial Factor Decomposition

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Find the area!

- please help!

Answers

Answer:

25 x 20 = 500

half of 25 = 12.5

12.5^2

156.25 x 3.14 = 490.625

490.625 divided by 2 = 245.3125

245.3125 + 500 = 745.3125 cm2 is your answer.

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!

Answers

Answer:

3/4

Step-by-step explanation:

1/2 +1/4 = 2/4 +1/4 = 3/4

Answer:

I'm sorry someone answer before I could

I need help finding what the answer for m

Answers

Answer:

7A. x = 6

7B. m∠ABC = 135°

Step-by-step explanation:

7A. I forget what the rule is called specifically, but the opposite angle is always congruent. So, you simply end up solving for x when you set the equation to equal 45.

7B. Use the supplementary rule, which basically states that two angles on a flat plane, when adjacent, equal 180°. So, 180 - 45 = 135.

God, my terminology is awful, but that's besides the point.

plz help will mark brainlist

Answers

Answer:

1. 1/7

2. 1/4

Step-by-step explanation:

maths

can someone help me I will give you a brainliest

Answers

2√3+6√2

hope this helps :D

Answer:

Step-by-step explanation:

2√3+6√2

Ferdinand is playing golf. He hits a shot off the tee box that
has a height modeled by the function h(t) = –16t2 + 80t,
where h(t) is the height of the ball, in feet, and t is the time
in seconds it has been in the air. The graph that models
the golf ball's height over time is shown below.

When does the ball reach its maximum height?

What is the maximum height of the ball?

Answers

Answer:

Maximum height of the ball = 100 m

Time to reach the maximum height = 2.5 seconds

Step-by-step explanation:

Function that models the height h(t) of the ball and time 't',

h(t) = -16t² + 80t

Convert this equation into vertex form,

h(t) = -16(t²- 5t)

     = -16[t² - 2(2.5t) + (2.5)² - (2.5)²]

     = -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²

     = -16(t - 2.5)² + 16(6.25)

     = -16(t - 2.5)² + 100

By comparing this equation with,

g(t) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the given parabola will be → (2.5, 100)

Therefore, maximum height of the ball = 100 m

Time taken by the ball to reach the maximum height = 2.5 seconds

I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly

Answers

Answer:

The circumference of the yellow circle is [tex]9\pi[/tex] or [tex]28.27cm^2[/tex] approximately, the circumference of the blue circle is [tex]6\pi[/tex] or [tex]18.85m^2[/tex] approximately, the circumference of the green circle is [tex]80\pi[/tex] or [tex]251.33mm^2[/tex] approximately, the circumference of the red circle is [tex]5\pi[/tex] or [tex]15.71cm^2[/tex] approximately, and the circumference of the pink circle is [tex]7\pi[/tex] or [tex]21.99cm^2[/tex] approximately.

Step-by-step explanation:

To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by [tex]\pi[/tex]. In this case, the circumferences of the yellow circle are [tex]9\pi[/tex] or approximately [tex]28.27cm^2[/tex], the circumference of the blue circle is [tex]6\pi[/tex] or approximately [tex]18.85m^2[/tex], the circumference of the green circle is [tex]80\pi[/tex] or approximately [tex]251.33mm^2[/tex], the circumference of the red circle is [tex]5\pi[/tex] or approximately [tex]15.71cm^2[/tex], and the circumference of the pink circle is [tex]7\pi[/tex] or approximately [tex]21.99cm^2[/tex].

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\f0\fs32 \cf2 \expnd0\expndtw0\kerning0
\outl0\strokewidth0 \strokec2 }

Answers

Answer:

What are we meant to do?

can someone please help me

Answers

Answer:

Step-by-step explanation:

When the x coordinate is positive, which way do you move on the coordinate plane?

Answers

Answer:

to the right

Step-by-step explanation:

Answer:

Right.

Step-by-step explanation:

When the x coordinate is positive, you move right on the coordinate plane.

For reference, here are the other directions.

When the x coordinate is negative, you move left on the coordinate plane.

When the y coordinate is positive, you move up on the coordinate plane.

When the y coordinate is negative, you move down on the coordinate plane.

Solve for x.

One side = 10
Another side = 9
One side = x
(It's a right triangle.)

Answers

Answer:

x = 4.3588989435406

I hope it's helps you

A relation R={(4,3)(5,4)(6,5)}then write its inverse

Answers

Answer:

R'={(3,4)(4,5)(5,6)}

Step-by-step explanation:

R={(4,3)(5,4)(6,5)}

R'={(3,4)(4,5)(5,6)}

Help!!! I need this asap!

Answers

Answer:

x= 14.8

Step-by-step explanation:

√12²+8²= 4√13

56.3= sin-¹(12/4√13)

tan56.3= 21.6/4√13

x+8= √21.6²+4√13²

x= 14.8

Jeremy bought a $60 pair of sneakers on sale for 15% off. Then, he used a coupon that gave him an additional 10% off. Can Jeremy find the cost of the sneakers by adding the percents? Justify your answer:

-by finding 25% off of $60, and

-by finding 15% off of $60, and then subtracting 10% from that cost.


Use the drop-down menus to complete your explanation.

---------------------------------------------------------------------------------------

Jeremy cannot/ can find the cost by adding the percents.

.

25% off of $60 is equal to $45.00/35.00/25.00/45.90

.

15% off of $60, then subtracting 10% from that cost is equal to 35.00/25.00/38.25/45.90...

.

The two total costs are equal/not equal



can someone help me solve this question pls?

Answers

Answer:

No, Jeremy can not find the cost of the sneakers by adding the percents, you have to math one sale discount at a time.

The answer is $45.90.

Step-by-step explanation:

You have to multiply $60 by 15%, getting $9. Subtract 9 from 60 and get the first discount price: $51. Then you will multiply 51 by `10% and get 5.1, subtract 5.1 from 51 and get your final sale price of $45.90. If you added the percents together you would get an incorrect value of $45. Close but not the correct answer.

A graph shows time (weeks) labeled 2 to 8 on the horizontal axis and height (inches) on the vertical axis. A line of orange dots increases from 0 to 9 weeks starting at 2 on the vertical axis. The graph shows the recorded heights of a plant in a soil experiment. Which statements describe the plant height function? Check all that apply. The function is linear. The function is quadratic. The height increases at a constant rate of change. The ratio of height and number of weeks is constant. There is no relationship between height and number of weeks.

Answers

Answer:

A.) The function is linear.

C.) The height increases at a constant rate of change.E

Step-by-step explanation:

Edge 2022

The function is linear and the height increases at a constant rate of change are the correct statements of the given graph.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Based on the description, it seems that the function is linear because the graph shows a line of dots that increases at a constant rate from 0 to 9 weeks.

Therefore, the following statements apply:

The function is linear.

The height increases at a constant rate of change.

Linear functions are those functions whose graph goes in a straight line. This function has one independent variable and one dependent variable.

The height increases at a constant rate of change. We can see as the time is increasing the height is increasing. We can determine this by slope of graph.

Hence, the function is linear and the height increases at a constant rate of change are the correct statements of the given graph.

To learn more on Graph click:

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Represent 0.533 (only the last 3 is bar number) into a rational number

Answers

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 3 placed after the decimal point.

let x = 0.5333.. ( multiply both sides by 10 and 100 )

10x = 5.333... → (1)

100x = 53.333... → (2)

Subtract (1) from (2) tus eliminating the repeating 3

90x = 48 ( divide both sides by 90 )

x = [tex]\frac{48}{90}[/tex] = [tex]\frac{8}{15}[/tex]

Answer:

IT IS 8/15

Step-by-step explanation: Divide and multiply the fraction from 100 to tens

find the volume of the figure. (3.14 as pi)

Answers

Answer:

84

Step-by-step explanation:

7x3x4

,,,,,,,,,,,,,,,,

Answer:

84 in^3

v=length x width x height

Why do u need pi in this, there are no circle or sphere or cone, or whatever

hope that answers your question

good luck and stay safe

Step-by-step explanation:

A square photograph has a side length of x + 8. It is
surrounded by a frame that is 2 inches wide all the way
around. Write a simplified expression for the area of
just the picture frame.

Answers

Answer:

(x + 10)^2

Step-by-step explanation:

*It helps to draw a diagram for these types of questions

Side length of photograph: x + 8

Width of frame: 2 in.

Area of a square: s^2

A = ((x + 8) + 2)^2

= (x + 10)^2

Therefore the area of the photograph with the frame is (x + 10)^2

Answer:

8(x + 10) or 8x + 80

Step-by-step explanation:

Area of the picture:

(x + 8)²

Side of the photograph with the frame:

(x + 8) + 2*2 = x + 12

Area of the frame:

(x + 12)² - (x + 8)² = (x + 12 + x + 8)(x + 12 - x - 8) = (2x + 20)(4) = 8(x + 10)

or

8x + 80

Due tonight.. *no links*

Answers

Answer:

49°

Step-by-step explanation:

106 + 135 + 70 + x = 360

311 + x = 360

x = 49°

49 degrees is the answer

Please help me I’m stuck

Answers

Answer:

[tex] {x}^{2} = {(13 - 6)}^{2} + {9}^{2} = {7 }^{2} + {9}^{2} \\ = 130 \\ x = \sqrt{130} = 11.4[/tex]

There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?

Answers

Answer:

120

Step-by-step explanation:

10 x 20 = 200

thus 6 x 20 is 120

The parent function y = -2x^2+5 is translated down 12 units and left 8 units. What is the new equation in vertex form?

Answers

Answer:

y=-2(x+8)²-7

Step-by-step explanation:

Given: y=-2x²+5

After transformations: y=-2(x+8)²-7

Vertex would be (h,k) -> (-8,-7) instead of (0,5)

Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars?

Answers

Answer:

average temperatures on mars, then you get the hottest temperatures...

Step-by-step explanation:

HELP ASAP!!!!
What is the volume of the following cylinder in cubic feet?



35.325 ft3
5,086.8 ft3
61,041.6 ft3
47.1 ft3

Answers

Answer:

35.325

Step-by-step explanation:

I got it right on Oddyseyware

Answer:

35.325

Step-by-step explanation:

its right on odyssey hope this help :]

whats bigger a street or a track

Answers

Answer:

Most likely a street

Step-by-step explanation:

depends on how big the track is

anyone know questions 9 and 10

Answers

Answer:

8.j     9.b   10.f    11.a

Step-by-step explanation:

you welcome

9. Constants are the value that stays the same and cannot be changed, other words, it does not contain a variable.
In the equation, 15 does not have a variable.

Solution: B. 15

10. Perimeter is all the side lengths combined; add them all up.
(4x - 10) + (2x + 6) + 5x
Combine the like terms
11x - 4 units

Solution: H. (11x-4) units

PLEASEEE HELP I WILL GIVE U BRAIN THING IF ITS CORRECT

Answers

Answer: OHH i think they want you to guess when they say 'estimate' and then for the second one you would put the right answer which is 8.75 meters i believe

Step-by-step explanation: I hope this is right. sorry

Find the mean of the following numbers.

64, 82, 74, 60

Answers

Answer:

70

Step-by-step explanation:

Simple math Add the numbers and devide by the number of numbers

(64+82+74+60)/4

Answer: 70

Step-by-step explanation:

To find the mean you add the numbers up then divide by how many numbers there are so when you add them up you get 280 and then divide that by 4 which is 70. hope this helps! :')

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