At what rate of interest would a sum of money becomes one and half in 10 year ?

Answers

Answer 1
Shortcut trick

Let the Principle be 100.

P = 100, then A = 200 and SI will be 200 - 100 = 100

YES = 100 in 10 years

Rate = 100/10 = 10%.

∴ The interest rate is 10%.

The traditional method is:

Given:

Time period = 10 years

Formula used:

SI = (P × R × T)/100

A = P + SI

Where P = main amount, R = rate, T = time, SI = primary interest

Calculations:

Monetary amount 2P

YES = 2P - P

⇒ P = (P × R × 10)/100

⇒ 1 = R/10

⇒ R = 10%

∴ The interest rate is 10%


Related Questions

x-2=-3x + 14 find x please

Answers

Answer:

x = 4

Step-by-step explanation:

x -2 = -3x + 14  Add 3xs to both sides of the equation

4x - 2 = 14  Add 2 to both sides of the equation

4x = 16 Divide both sides by 4

x = 4

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[tex]\textsf{The given problem instructs us to simplify for the variable x.}[/tex]

[tex]\textsf{\textbf{The first step is to add 2 to both sides:}}[/tex]

[tex].\qquad\leadsto\sf{x=-3x+\textbf{16}}[/tex]

[tex]\textbf{The next step is to add 3x to both sides:}[/tex]

[tex].\qquad\leadsto\sf{4x=\textbf{16}}[/tex]

[tex]\textsf{\textbf{The final step is to divide both sides by 4:}}[/tex]

[tex].\qquad\leadsto\sf{x=4}[/tex]

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The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side.

9 ≤ x ≤ 18
18 ≤ x ≤ 33
36 ≤ x ≤ 42
45 ≤ x ≤ 60

Answers

The solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33

How to write and solve a compound inequality to show the possible lengths of the third side?

The given parameters are

Range = 45 to 60 inches

Sides = 9, 18 and x

The sum of the three sides is

Sum = 9 + 18 + x

Evaluate

Sum = 27 + x

Recall that

Range = 47 to 60 inches

So, we have

45 ≤ 27 + x ≤  60

Subtract through by 27

So, we have

18 ≤ x ≤ 33

Hence, the solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33

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a cube has side length of 8 inches. select all the values that represent the cubes volume in cubic inches. (6.ee.a.1)

Answers

Answer:

8 . 8 . 8

Step-by-step explanation:

Right answer

Can someone help me with my work that is due tomarrow

Answers

Sure, where is the problem, what grade and what is the work?

ill give brainly and 10 points

Answers

Answer:

the last one

Step-by-step explanation:

Trains on two different routes stop at the same train station.
Trains on one route stop there every 9 minutes and trains on the other
route stop there every 6 minutes.
Trains on both routes stop at the train station at midday. How many minutes
later will it be when trains on both routes next stop there at the same time ?

Answers

The time when the two trains on both routes next stop there at the same time is ; 18 minutes

How to find the L.C.M?

The LCM which means Lowest Common Multiple of two or more numbers is defined as the smallest number among all common multiples of the provided numbers.

Now, we are told that Trains on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes.

Now, to get the time when the two trains on both routes next stop there at the same time, we will find the L.C.M of both times to get;

Factorization of 6 = 2 * 3

Factorization of 9 = 3 * 3

Thus, the L.C.M = 2 * 3 * 3 = 18 minutes

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X/2<5c
Solve inequalities

Answers

The solution to the given inequality is x < 10c

Solving inequality

Inequality are expression that are not separated by an equal sign. Given the inequality expression

x/2<5c

We are to determine the value of x from the inequality as shown;

Given

X/2<5c

Multiply both sides buy 2 to have:

X/2(2)<5c(2)

x < 5(2c)
x < 10c

Hence the solution to the given inequality is x < 10c

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solving compound inequality (x>-4)^(x>2)

Answers

Answer:  There is no solution.

There are 25000 fans in a stadium watching
a game. A hotdog vendor sells $5006.5 worth
of hotdogs at $1.70 each.
What was the ratio of the hot dogs sold to
the number of fans?
Answer in units of hotdogs/fan.

Answers

Answer:5000 : 589

Step-by-step explanation: If A Hotdog Vendor Sells $5006.5 You would need do divide it by how much the hot dogs cost (1.70) 5006.5 divided by 1.70= 2945. So There are 2945 hot dogs and 25000 fans, which simplified would be 5000 fans : 589 hotdogs

HELP ME OUT PLEASE!!!!

What measurement is represented on the x-axis and what unit is it measured in?​

Answers

The measurement that is represented on the x-axis is Time and the unit it is measured in is hours

Measurements

From the question, we are to determine the measurement that is represented on the x-axis

On a cartesian plane, the x -axis is the horizontal line and the y-axis is the vertical line

In the given diagram,

The measurement that is shown on the x-axis (horizontal axis) is Time. It is measured in hours

and

The measurement that is shown on the y-axis (vertical axis) is Distance. the distance is measured in miles

Hence, the measurement that is represented on the x-axis is Time and the unit it is measured in is hours

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The circumference of a circle is 188.4 ft. What is the area?
*explain in words*

Answers

Answer:

A≈2824.57ft²

Step-by-step explanation:

Area=πr2

Circumference=2r

A=C²=188.42≈2824.56734ft²

   4π    4·π

NO LINKS!!

Tell whether you can conclude that each is true based on the figure. Explain your reasoning. ​

Answers

Answer:

  T, T, F, F, T, T, T

Step-by-step explanation:

You want to know if various descriptions of the given figure are true.

a. CA ≅ FA

True. They are marked congruent by the hash marks on the diagram.

b. C, A, F are collinear

True. Line CF is shown as going through point A

c. ∠CAD≅∠EAF

False. ∠EAF is congruent to ∠CAB (vertical angles), and ∠CAB is complementary to ∠CAD. There are no markings to indicate these complementary angles are congruent.

d. BA≅AE

False. There are no markings to indicate these segments are congruent.

e. CF, BE, AD intersect at point A

True. Point A is shown as being on all of these lines and segments.

f. ∠BAC and ∠CAD are complementary

True. Ray AC splits right angle BAD, so these angles have a sum of 90°.

g. ∠DAE is a right angle

True. Whenever a segment (AD) meets a line (BE) at right angles, both angles formed are right angles.

A piece of plywood 24 inches wide is cut into strips 2 ½ inches wide. How many strips of this width can be cut? Strips.

Answers

Answer:

9 Strips

Step-by-step explanation:

24 / 2.5 = 24 ÷ [tex]\frac{5}{2}[/tex] = [tex]\frac{24}{1}[/tex] x  [tex]\frac{2}{5}[/tex] = [tex]\frac{48}{5}[/tex] = 9.6

This is rounded down to 9.

The given steps for constructing a line tangent to circle O that passes through point P outside the circle are listed out of order.

Arrange the steps in the correct sequence.

A. From M, set the compass width to MO.

B. Draw a line from the center, O, to a given point P.

C. Draw the tangent line from P to N.

D. Make an arc that intersects the circle to create point N.

E. Construct the perpendicular bisector of segment OP to find the midpoint, M.​

Answers

Solution : ADEBC

Arc: The length of any arc is s = r θ , where is the length of the arc, is the radius, and is the measure of the angle in radians. Use the fact that is equal to to convert between degrees and radians. A subtended arc is the part of the circle in between the two rays that make the central angle.

Arc length formula is used to calculate the measure of the distance along the curved line making up the arc (a segment of a circle). In simple words, the distance that runs through the curved line of the circle making up the arc is known as the arc length. It should be noted that the arc length is longer than the straight line distance between its endpoints.

the perpendicular bisector of the segment :

A perpendicular bisector can be defined as a line segment that bisects another line segment at 90 degrees. In other words, a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.

A. From M, set the compass width to MO.

D. Make an arc that intersects the circle to create point N.

E. Construct the perpendicular bisector of segment OP to find the midpoint, M.​

B. Draw a line from the center, O, to a given point P.

C. Draw the tangent line from P to N

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Solve the following equation. x/6 + 2 = 8Then place the correct number in the box provided.

Answers

Answer:

x = 36

Step-by-step explanation:

Solve the following equation. x/6 + 2 = 8Then place the correct number in the box provided.

x/6 + 2 = 8

x/6 = 6

x = 6 * 6

x = 36

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

check

36/6 + 2 = 8

6 + 2 = 8

8 = 8

the answer is good

Answer:36

Step-by-step explanation:

subtract 2 from both sides to isolate x.You then get x/6=6.36/6=6

Consider the graph given above. Add a new edge so the resulting graph has an Euler path (without repeating an existing edge). ______

Use Fleury's Algorithm to find an Euler path through the graph using this new edge by listing the vertices in the order visited. _______

Answers

Use Fleury's Algorithm to find an Euler path through the graph using this new edge by listing the vertices in the order visited is;  G-H-L-K-G-J-I-G

How to find Euler's Path?

A quick examination of the given graph tells us that two of the seven vertices (G, I) have an odd number of edges while the other five (F, H, J, K, L) have an even number. Since every vertex must have an even number of attached edges for us to possibly construct an Eulerian circuit, our first step is necessary to add an edge connecting G to I.

A somewhat easy way to now construct an Eulerian circuit would be to take our original graph (i.e. without the G-I edge) and find an Eulerian path from D to H, then end by taking our added D-H edge back to D.

The way to find Fleury's Algorithm, is that;

1) Start with classifying the vertices of the given graph as odd and even. If there are 0 or 2 odd vertices, then continue with the algorithm.

2) Begin with any one of the odd vertices, if they exist, otherwise arbitrarily choose a vertex as the starting point.

3) Travel every edge exactly once such that the bridges in the graph are travelled at the end.

4) Stop when all the edges are travelled.

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63÷16 is
1. 3
2. 4
3. 3 R 15
4. 3 R 5

Answers

Answer:

3

Step-by-step explanation:

63 ÷ 16= 3.9375 or 3 R 15

Not really much I can show a working off but this is the best I can do for now

3 r 15 because if you divide 48 by 16 you get 3 but if you divide 63 by 16 you will get 3.93 so if you break it down the leftover is 15

Which is not an equation of the line going through (6, 7) and (2,-1)?
A.y+1=2(x-2)
OB. y-7-2(x-6)
OC. y-1-2(x+2)
D. y=2x-5

Answers

The equation of the line that do not pass through (6, 7)(2, -1) is y - 1 = 2(x + 2)

How to express equation of a line?

The equation of a line can be express in different form. example includes slope intercept form and point slope form.

Let's express the equation in slope intercept form.

y = mx + b

where

m = slopeb = y-intercept

Therefore,

(6, 7)(2, - 1)

m = -1 - 7 / 2 - 6

m = -8 / - 4

m = 2

Therefore, using (6, 7)

y = 2x + b

7 = 2(6) + b

b = 7 - 12

b = - 5

Hence,

y = 2x - 5

Therefore, in point slope form using (6, 7) and (2, -1)

y - y₁ = m(x - x₁)

y - 7 = 2(x - 6)

using (2, -1)

y + 1 = 2(x - 2)

Therefore, the equation of the line that do not pass through (6, 7)(2, -1) is y - 1 = 2(x + 2)

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15 greater than y is at least 150

Answers

Answer.
y ≥135 or
y is at least 135
Step-by-step explanation:
Fifteen greater than y is at least 150
• y + 15 ≥ 150
• y + 15 - 15 ≥ 150 - 15
• y≥135

Which means: y is at least 135

what is the first of four consecutive numbers if their sum is 2006

Answers

762/3=254... therefore, 762-254=508

So your fourth integer is 508

STORY:
Fred and Barney are best
friends. Fred is 188 centimeters
tall, and Barney is 157 centimeters
tall. When Barney wears his special hat
it adds 44 centimeters to his height. When Barney wears his special hat , How much taller is he than Fred?

Answers

Answer:

13

Step-by-step explanation:

1.) Add up 157 + 44

2.) Subtract the sum of 157 + 44 by 188

What is the inverse of conditional w > ~v?

Answers

Answer: (v,∞)

Step-by-step explanation: Please mark as brainliest

The equation 23+0.15p=c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. Use the equation and a table to find the weight of an appliance that costs ​$41 to deliver.

Answers

The weight of the appliance is 120 pounds.

What is equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given:

 23+0.15p=c

where the cost c in dollars that a store charges to deliver an appliance that weighs p pounds.

Now for c= 41

23 + 0.15p= 41

0.15p= 41-23

0.15p= 18

p= 18/0.15

p=120 pounds

Hence, the weight of an appliance is 120 pounds

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0.64 + 4/25 simplified

Answers

0.8

4/25=0.16
0.64+0.16=0.8

Answer: The answer is 1.44



Step-by-step explanation:

0.64 + 4/5...

1.) Convert your fraction to a decimal by
dividing 5 into 4, this will give you 0.8.

2.)
Add 0.64 and 0.8 together. (Make sure you line the decimals up)
It should look like this : 0.64
                                      +0.80
                                        ____

3.) After you add them together, it
equals out to 1.44

I want to plant 45 sunflower plants and 63 tomato plants in my garden. If I put the same number of plants in each row, with only one type of plant in each row, what is the greatest number of plants I can put in one row?​

Answers

Answer:

the most you can do is put 15 of particular plant in a row because if you take the 60 / 15 you get four and if you take 45 / 15 and you get three so then you could have three rows of sunflowers and four rows of tomatoes of 15 big brain

50 Points
PLEASE SOLVE THIS :)

Answers

Length of AB = 0.32

Here it is given that the length of BC = 2, and ∡ABC = 50°

The trigonometry formula is

cos Ф = base / hypotenuse

sin Ф = height / hypotenuse

cos 50° = 0.64

Here cos 50° = BC/ AB

Here we have to find the value of AB.

So we have

0.64 = 2/ AB

AB = 0.64/2

     = 0.32

Therefore the length of AB is 0.32.

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Write each of the following numbers correct to 3 significant figures.
a) 37412
b) 84563
c) 261.42
d) 0.3684
e) 0.002615
f) 0.0025713

Answers

A) Rounding up 37412 to  3 Significant figures gives; 37400

B)  Rounding up 84563 to  3 Significant figures gives; 84600

C) Rounding up 261.42 to  3 Significant figures gives; 261.00

D) Rounding up 0.3684 to  3 Significant figures gives; 0.368

E) Rounding up 0.002615 to  3 Significant figures gives; 0.00262

F) Rounding up 0.0025713 to  3 Significant figures gives; 0.00257

How to approximate to 3 significant figures?

3 Significant figures simply means 3 number of non-zero positive integers or whole numbers/ Thus;

A) Rounding up 37412 to  3 Significant figures gives; 37400

B)  Rounding up 84563 to  3 Significant figures gives; 84600

C) Rounding up 261.42 to  3 Significant figures gives; 261.00

D) Rounding up 0.3684 to  3 Significant figures gives; 0.368

E) Rounding up 0.002615 to  3 Significant figures gives; 0.00262

F) Rounding up 0.0025713 to  3 Significant figures gives; 0.00257

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Solve for c.
P=a+5+c

Answers

Answer:

c = P - a - b

Step-by-step explanation:

We are basically trying to get "c" by itself.  If we ask ourselves what is with the "c" that we need to get rid of in order to have "c" by itself, we have a positive "a" and a "plus 5".  To get rid of the positive "a" we subtract "a" from both sides. That leaves

P - a = 5 + c

To get rid of the "plus 5" we subtract 5 from both sides. That leaves

P - a - 5 = c

Using the quadratic formula, solve 0 = 2x² - 10x + 7
Give each of your answers to 2 d.p.

Answers

Answer:

[tex] \sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11} [/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

0=2x²−10x+7

Step 1: Subtract 2x^2-10x+7 from both sides.

0−(2x²−10x+7)=2x²−10x+7−(2x²−10x+7)

−2x²+10x−7=0

For this equation: a=-2, b=10, c=-7

−2x²+10x+−7=0

Step 2: Use quadratic formula with a=-2, b=10, c=-7.

[tex] \sf \: x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

[tex] \sf \: x = \frac{ - (10)± \sqrt{ {10}^{2} - 4( - 2)( - 7) } }{2( - 2)} [/tex]

[tex] \sf \: x = \frac{ - 10 ± \sqrt{44} }{ - 4} [/tex]

[tex] \sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11} [/tex]

Last week, Abdul drove 211 miles. This week, he drove d miles. Using d, write an expression for the total number of miles he drove in the two weeks.

Answers

The total numbers of miles drove by abdul in two weeks in terms of k is: k+211 miles

The total number of miles that Abdul drove in two weeks will be the sum of the miles that he drove in week 1 + week 2

If he drove 211 miles one week, plus "d" miles the second week,

Let's call the total number of miles driven in two weeks k.

The sum of both weeks will be the total number of miles Abdul drove in two weeks should be as follows.

Given

no of miles drove in last week is 211 miles.

no of miles drove in current week is d miles.

So the total number of miles drove by Abdul in two weeks are:

Total no of miles drove in two weeks is 211+d miles.

Hence,

The total numbers of miles drove by abdul in two weeks in terms of k is: k+211 miles

Then we can express the total as k = 211 + b.

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