If the simple interest on a certain sum of money for 3 years is three-tenth of the sum,then find the rate of interest per annum

Answers

Answer 1

9514 1404 393

Answer:

  10%

Step-by-step explanation:

We assume the "sum" being referred to in both cases is the principal amount invested. The simple interest formula tells you ...

  I = Prt . . . . . . interest on P invested at annual rate r for t years

We have ...

I = 0.3Pt = 3

Filling in these values, we get ...

  0.3P = Pr(3)

  0.1 = r . . . . . . . . divide by 3P

The interest rate is 0.1×100% = 10% per year.


Related Questions

Hey can anyone help me with this problem please and thank you !

Answers

Answer:

x = 16

Step-by-step explanation:

6x + 3 = 7x -19

3 + 19 = 7x - 6x

22 = x

so

=6x + 3

=6× 22 +3

=135°

then

=7x - 19

=7 × 22 -19

=135°

Answer:

(6x+3)=(7x-19)

-x+3=-19

-x=-22

x=22

Step-by-step explanation:

please
solve (-3/5)(-2/9)

Answers

Answer: 2/15

Step-by-step explanation:

(-3/5)(-2/9)

(-1/5)(-2/3)

(2/15)

Find the measure of angle x. 70

Answers

Answer:

Can you show me a ss of the question

Step-by-step explanation:

Thx

HELP PLEASE!!! I WILL
GIVE BRAINLIEST

Answers

Answer:

i think is is 3

Step-by-step explanation:

What is the product of 1 2/3 and - 3 1/2

Answers

Step-by-step explanation:

1 2/3 can be written as 5/3 and -3 1/2 can be written as -7/2

now,

5/3×-7/2

5 × (-7) / 3 × 2

-35/6 ans.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

-62

Step-by-step explanation:

12/3 * -31/2

12÷3 =4/1

4/1*-31/2

4÷2=2

-31*2=-62

the perimeter of a rectangle is 302 the length is 131 more times than the width find the length and width ​

Answers

Answer:

1.300

Step-by-step explanation:

The length and the width get multiplied and your answer would be 1.300

After three games of golf, the leader's score of -15 was posted. (Assume that the golfer had
the same outcome for each game.) What was the leader's posted score after the first game?

Answers

Yes I know the answer it is 30 and 31

Find a value for x that will make each of the following equations true. 2. x+8=21 b. 8-32=55 c. 3x=54 d. x/5=10 all I need help with is c​

Answers

Answer:

C. x = 18

Step-by-step explanation:

3x = 54

First, you try to get x by itself.

To do that, you divide both sides by 3

It looks like this:

3x/3 = 54/3

And it ends up being:

x = 18

Answer:

x + 8 =21; x = 21 -8; x= 13

3x = 54; x =54/3;x= 18

x/5 = 10;x= 10× 5;x= 50

how do solve this ??????​

Answers

Answer:

500 por 6

Step-by-step explanation:

espero que te ayuder

please help me solve b,c,d asap i need it in 10 min!!!

Answers

x/3 - 5 is the answer

Answer:

These answer are written in standard form

Step-by-step explanation:

D. The sum of four and twice a number = 2x+4

C. Seven more than three times a number, all multiplied by itself = 3x+7

B. Nine less than a number, all divided by three = [tex]\frac{n-9}{3}[/tex]

I’ll give BRAINLIEST I need the equations and coordinates to graph

Answers

Answer:

y=2/3x+-3    (3,-1) and (0,-3)

Step-by-step explanation:

This is correct because your slope is 2/3 and y-intercept is -3 and the is the equation.  (3,-1) and (0,-3) are the cooridnates.

What is the midpoint of the x-intercepts of
f(x) = (x – 2)(x – 4)?

(–3,0)
(–1,0)
(1,0)
(3,0)

Answers

Given :

f(x) = (x-2)(x-4)

To find :-

The midpoint of x intercepts .

Answer :-

Given function :-

f(x) = (x-2)(x-4)

On equating with 0 ,

(x-2)(x-4) = 0 x = 2,4

Hence it cuts x axis on (2,0) and (4,0) .

Using midpoint formula ,

M = (2+4/2 , 0+0/2) M = (6/2,0/2) M = (3,0)

Answer:

(3,0)

Step-by-step explanation:

The answer above is correct.

Padma cycles 3 1/4 miles. Josh cycles 7/2 miles. How far have they cycled in total? Give your answer as a mixed number. show your working.

Answers

Answer: 6 3/4 miles

Explanation: turn 3 1/4 into an improper fraction makeing it 13/4 multiply both 7 and 2 by 2 makeing 7/2 into 14/4 add the two together 13/4+14/4= 27/4 then simplify down to 6 3/4

They cycled in total 6 3/4 miles.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Padma cycles 3 1/4 miles.

And, Josh cycles 7/2 miles.

Now,

Since, Padma cycles 3 1/4 miles. Josh cycles 7/2 miles.

Hence, The total cycled by both = 3 1/4 + 7/2

                                                  = 13/4 + 7/2

                                                  = 13/4 + 14/4

                                                  = (13 + 14) / 4

                                                  = 27/4

                                                  = 6 3/4 miles

Thus, They cycled in total 6 3/4 miles.

Learn more about the fraction visit:

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PLEASE HELP!!! I"M STUCK ON THIS PROBLEM


Find the number of ordered pairs (m,n) which satisfy the system

4(m - n) &= 7(1 - n),
3/2n= 4-2m.

If there are infinitely many such pairs, enter the word infinite.

Answers

Answer:  0

There are no solutions to this system.

==========================================================

Explanation:

Let's simplify and rearrange terms for the first equation. The goal is to get it into the form Am+Bn = C, where A,B,C are constants.

4(m-n) = 7(1-n)

4m-4n = 7-7n

4m-4n+7n = 7

4m+3n = 7

Let's do the same for the second equation

(3/2)n = 4 - 2m

3n = 2(4-2m)

3n = 8 - 4m

4m+3n = 8

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

The result of each simplification is that we ended up with 4m+3n on the left hand side for each equation. The only difference is that we got 7 for the first equation and 8 for the next one.

This is a contradiction because 4m+3n can only equal one number at a time for any given (m,n) pair. It's like saying z = 7 and z = 8 at the same time, where z = 4m+3n. But z can only equal one value at a time.

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

In summary, the given system leads to a contradiction and the system is inconsistent. This means that there are no solutions. There are 0 ordered pairs (m,n) that make both original equations to be true.

The correct answer is there is exactly one ordered pair ([tex]m = \dfrac{73}{56}[/tex] , [tex]n = \dfrac{13}{14}[/tex] ) that satisfies the given system of equations.

Given

[tex]4(m - n) = 7(1 - n)[/tex]

[tex]\dfrac{3}{2} n = 4 - 2m[/tex]

First, simplify the second equation:

[tex]\dfrac{3}{2} n +2m = 4[/tex]

Now,  solve this equation for n:

[tex]n = (4 - 2m) * \dfrac{2}{3}[/tex]

[tex]n = \dfrac{(8 - 4m)}{3}[/tex]

Now, substitute this value of n into the equation [tex]4(m - n) = 7(1 - n)[/tex] :

[tex]4(m - \dfrac{(8 - 4m)}{3}) = 7(1 - \dfrac{(8 - 4m)}{3}[/tex]

[tex]m = \dfrac{73}{56}[/tex]

From the value of m, substitute it back into the equation for n:

[tex]n = \dfrac{(8 - 4m)} { 3}[/tex]

[tex]n = \dfrac{13}{14}[/tex]

The solution is one ordered pair  [tex]m = \dfrac{73}{56}[/tex]  and  [tex]n = \dfrac{13}{14}[/tex].

Learn more about System of equations here:

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please answer this efwefrwgrehreherh

Answers

Answer:

2.8n.8n.8n.8n

option no. 4

The last option is the correct answer:

2 • 8n • 8n • 8n • 8n

Decomposing (8n)^4 into “8n • 8n • 8n • 8n” reflects the Power-to-Power Rule of exponents, (ab)^m = a^m • b^m.

The exponent, 4, doesn’t apply to 2 because it is outside the parenthesis.

Please mark my answers as the Brainliest if you find this explanation helpful :)

State the number of possible real zeros and turning points of f(x) = x7 – 6x6 + 8x5. Then determine all of the real zeros by factoring.



=

Answers

Answer:

steps below

Step-by-step explanation:

f(x) = x⁷ – 6x⁶ + 8x⁵

f'(x) = 7x⁶ - 36x⁵ + 40x⁴

      = x⁴ (7x² - 36x + 40)   ... (1)

Critical point (x,y): x = 0  ,  x = (36 ± √(-36)²-4*7*40) / (2*7) = (18±2√11) / 7

x = 0   or   x = 3.5    or    x = 1.6

plug into (1): y = 0   ,  y = -394.3  ,    y = 10.1

extreme : maximum (1.6 , 10.1)       minimum (3.5 , -394.3)  ... turning points

x⁷ – 6x⁶ + 8x⁵ = x⁵ (x² - 6x + 8) = x⁵ (x-2) (x-4) =0

real zeros: x = 0,   x=2,    x=4

Write the equation of the vertical line that goes through the point
(3, 4).

Answers

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The equation of a vertical line is ...

  x = constant

If you want the line to go through a point with an x-coordinate of 3, then the constant must be 3.

  x = 3 . . . . . . .vertical line through (3, 4)

Use the figure below to answer both parts to Question 3. In the figure shown, l1 ∥ l2. If m∠8=105°, determine the measures of the two indicated angles.
Question 3a: What is the measure of m∠1?
Question 3b: What is the measure of m∠6?

Answers

Answer:

49

131

Step-by-step explanation:

work out the percentage change when a price of £70 is decreased to £49 ​

Answers

Answer:

30% decrease in price

Step-by-step explanation:

Since 70-49=21, we know that the price decreased by 30 pounds. The formula to find a percentage decrease is that you should then divide the original number(70) by 21(that equals 0.3!) 0.3 as a percentage would then be 30%, so the answer is there is a 30% decrease in price.

Tickles has received 20% of his IV fluids from her 250mL bag, how many mLs has she received?

Please show work!

Answers

Answer:

50 mL

Step-by-step explanation:

<33

Answer:

50mL

Step-by-step explanation:

20% = 1/5

1/5 of 250 is 50

Therefore, she received 50mL of IV fluids.

Hope this helped!

which expression represents the phrase “one third the sum of 12 and a number”?

Answers

Answer:

ignore this

Step-by-step explanation:

5-7=21

My Little Sister needed help with this little math problem. I’m bad at math , can someone help

Answers

Answer:

what's the math question?

Step-by-step explanation:

which number has one digit that represents then times the value of the digit to its right? a. 246,147
b. 327,449

Answers

9514 1404 393

Answer:

  b. 327,449

Step-by-step explanation:

Adjacent digits have values related by a factor of 10 if they are the same digit.

  327,449

is the number that has two adjacent digits the same.

The triangle will be rotated 90 degrees counterclockwise about the origin. what will be the coordinates of the imagine point Q

Answers

Answer:

the points for Q would be (-1,-1)

Step-by-step explanation:

oh i hope im right im sorry if wrong

Help help please please

Answers

Answer:

[tex]a = \sqrt{63} [/tex]

HELPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Zuri: -10x + 125, Cara: 10x+125, Julio: 125x + 10

Step-by-step explanation:

Zuri starts with 125 dollars, and spending 10 dollars per month, means a subtraction of $10 per month.  So, after x months, the subtraction = -10x = -10 + -10 + ... + -10, x times.  Thus, f(x) = 125 + (- 10x) = 125 - 10x = -10x + 125.

Cara starts with 125 coins, and collecting 10 coins per year, means an addition of 10 coins per year.  So, after x years, the addition = 10x = 10 + 10 + ... + 10, x times.  Thus, f(x) = 125 + 10x = 10x + 125.

Julio starts with $10, and earning $125 per week, means an addition of $125 per week.  So, after x weeks, the addition = 125x = 125 + 125 + ... + 125, x times.  Thus, f(x) = 10 + 125x  = 125x + 10.  

11. Juan paid $25.75 on a loan. Then he
borrowed $12.00. He now owes $19.80.
How much did he owe before making the
payment and borrowing the $12.00?
$

Answers

He owned 33.55 dollars

Martin is selling chocolate bars for a fundraiser. His goal is to sell 500 chocolate bars to win the top prize. He can sell 11 per hour by standing in front of the local grocery store. He already sold 258, and he uses the equation 11x+258=500 to find out how many more hours he needs to sell for.

Solve for x.


Answers

Answer:

X=22

Step-by-step explanation:

258 ÷ 11 = 23.454 repeating. 22 = X is the closest answer to 23. High chance it is 22.

Which region represents the solution to the given system of inequalities? Y<-1/2x Y>2x+3

Answers

Answer:

Equation 2:y\geq 2x+3y≥2x+3

We will make the table.

x : -2 0 2

y : -1 3 7

Test Point: (0,4)

Can someone answer this?

Answers

Start with each variable unit;
x^2: 4x^2 + 2x^2 = 6x^2
x: -4x + 5x = x
Non-Variables: 10 - 8 = 2
Answer: 6x^2 + x + 2
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