A sum of money invested at the compound interest payable yearly has interest in
2 years and 4 years are Rs. 4,200 and Rs. 9282 respectively. Find the rate of
interest​

Answer:

x-1/x

Step-by-step explanation:

Answer:

4 = 256.

Step-by-step explanation:

The formula used in each equation is 4x = Y. So, 41 = 4, 42 = 16, 43 = 64, and 44 = 256.

Answer:

[tex]\huge\boxed{\sf 256}[/tex]

Step-by-step explanation:

The equation used for this unfinished equation is:

[tex]\sf 4^{x} = y\\\\Where \ x \ is \ L.H.S \ and \ y \ is \ R.H.S[/tex]

So,

If x = 1, y = 4

[tex]\sf 4^1 = 4[/tex]

If x = 4 , y = 256

[tex]\sf 4^4 = 256[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

1=-1/5 2=11/20 3=149/25

Step-by-step explanation:

I get it you have to put the number into your calculator then turn it into a fraction

hop this helps

-mercury

Answer:

11/20

Step-by-step explanation:

convert to a simplified fraction by placing the numbers to the right of the decimal over 100 then, reduce the fraction.

Answer:

23.25 MPH

Step-by-step explanation:

7 3/4 x 3 = 23.25

1/3 x 3 = 3/3 = 1

So for 1 hour she will ride 23.25 MPH :D

Answer:

23 1/4 miles

Step-by-step explanation:

(7 3/4)x3 will give us the answer as (1/3)x3 is 3/3, meaning that it is the full hour.

Answer:

A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

Hope this helped! :}

Answer:

A

Step-by-step explanation:

Substitution with X= 9 and you receive that only 9 works in both equation

Answer:

B. 36 C. 180 D. 240 E. 1,656

Step-by-step explanation:

Partial product is the multiplication of individual digit of a number in turn with each digit of the others where each digit maintains its place.

Using distributive property to multiply 24 × 69 to determine our partial products:

i.e.

24 × 69 = 24 × (60 + 9)

= (24 × 60) + (24 × 9)

= 60 (20 + 4) + 9(20 + 4)

So; we can have:

= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)

= 1200 + 240 + 180 + 36  

= 1656

Answer:

0

Step-by-step explanation:

0 to the power of anything is 0.

For example,

[tex]0^1 = 0\\0^2 = 0\\0^3 = 0\\\\[/tex]

Technically speaking 0^4 is just 0*0*0*0 and all that equals 0.

I hope this helps!!

If you have any questions feel free to ask!

- Kay :)

Answer:

#4 is option one 18 miles

Step-by-step explanation:

Answer:

-3

Explanation :

slope intercept form

y=mx+b

y= -3x+4

slope is also m

b is the y-intercept

Answer:

3:1 2:3 1:4 4:2

Step-by-step explanation:

I had the same one on my quiz

[tex]( {p}^{6} {q}^{ \frac{3}{2} } {)}^{ \frac{1}{3} } \\ = ( {p}^{6 \times \frac{1}{3} } ).( {q}^{ \frac{3}{2} \times \frac{1}{3} } ) \\ = ( {p}^{2} ).( {q}^{ \frac{1}{2} } ) \\ = {p}^{2} {q}^{ \frac{1}{2} } [/tex]

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

Answer:

Please find attached the required graph of the inequality, y  created using Microsoft Excel

Step-by-step explanation:

The inequality is presented as follows;

y > x² + 2·x - 8

We can graph the inequality using Microsoft Excel by generating the data points as follows;

x    [tex]{}[/tex]       y

-9    [tex]{}[/tex]      55

-8    [tex]{}[/tex]      40

-7    [tex]{}[/tex]      27

-6    [tex]{}[/tex]      16

-5    [tex]{}[/tex]      7

-4    [tex]{}[/tex]      0

-3    [tex]{}[/tex]      -5

-2    [tex]{}[/tex]      -8

-1    [tex]{}[/tex]      -9

0    [tex]{}[/tex]      -8

1    [tex]{}[/tex]       -5

2    [tex]{}[/tex]      0

3    [tex]{}[/tex]      7

4    [tex]{}[/tex]      16

5    [tex]{}[/tex]      27

6    [tex]{}[/tex]      40

7    [tex]{}[/tex]      55

8    [tex]{}[/tex]      72

9    [tex]{}[/tex]      91

The points are plotted and a dashed line is used to join the points to represent the > inequality symbol. The region above the graph of the inequality is then shaded.

Answer:

the amount increased by approximatley 12%

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

3.8x5=19 so 19 divided by 5 = 3.8

Answer:

Sin0= y/r

X= -4 and r= 9 (radius is also the hypotenuse)

In quadrant II y is positive

X^2 +y^2 = r^2

-4^2 + y^2 = 9^2

16 + y^2 = 81

Y^2 = 81-16

Y^2 = 65

Y= sqrt65

Sin0= sqrt65/9

Step-by-step explanation:

Step-by-step explanation:

D is the correct answer of this question ....

Answer:

D. 24/35

Step-by-step explanation:

Step one:

Given

Sample space

14 silver keys,

7 black keys,

10 copper keys, and

4 painted keys of various colors

Sample size= 14+7+10+4= 35

in probability "or" means that we need to add events.

Hence, the probability that the key that is drawn is silver

= 14/35

the probability that the key that is drawn is copper

=10/35

Step two:

The probability that the key that is drawn is silver or copper

14/35+10/35

=14+10/35

24/35

Answer:

a  ≤  b  +  5

a  +  b  ≥  40  

2.5 a  +  1.5 b  ≤  105

Step-by-step explanation:

Answer:

question 1 asks about the volume  and question 2 asks about the surface area.. I can't see all of question 3... soo I'll give  you the first two only

Step-by-step explanation:

this seems like it would be easier to figure out.. if we did the volume of the block that would fit around the odd shape of the foam soooo

the block would be 10 inches tall by 36 inches long by 20 inches in depth

use a calculator.. 10 x 36  x 20 = 7200 [tex]inches^{3}[/tex] is  the volume... of just a block that would fit perfectly over that foam structure.. now subtract the two pieces that are not part of the block.. the long rectangle and the triangle off the end.

the first one to subtract is a block that is 8  x 5 x 20= 800

the second piece to subtract is the triagle block that is 18 x 8  so the formula for the area of a triangle is 1/2 base * height = 1/2 (18*8)= 72

7200-800-72=[tex]inches^{3}[/tex]  is the total volume of the shape

the surface area is just add up each flat area of the shape

side = 36x10 - 8x5 - 1/2(8x20)

side = 240

5x20 + 8x20 + 5x20 + 10x20 + 20x20 + 2x20 +36x20 + 2(side)= 2200 [tex]inches^{2}[/tex]

Answer:

Rs 20000

Step-by-step explanation:

Let the sum is x.

The rate of interest, r=20%=0.2

Time, t=2 years.

Total amount after t years, [tex]A= x \left(1+\frac{r}{n}\right)^{tn}[/tex]

The value of n when compounded annually, n=1

So, the total amount,

[tex]A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2[/tex]

The compound interest when compounded annually,

[tex]I_1 =x(1.2)^2-x[/tex]

The value of n when compounded semi-annually, n=2

So, the total amount, [tex]A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4[/tex]

The compound interest when compounded semi-annually,

[tex]I_2 =x(1.1)^4-x[/tex]

As the difference between the annual and semi-annual compound interest on  x amount of money is Rs 482, so

[tex]I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\[/tex]

x=20000

Hence, the sum is Rs 20000.

Answer:

1 - i

Step-by-step explanation:

[tex] {i}^{19} + {i}^{20} \\ \\ = {i}^{18} .i + {i}^{20} \\ \\ = {( {i}^{2} )}^{9} .i + {( {i}^{2} )}^{10} \\ \\ = {( - 1)}^{9} .i + {( - 1)}^{10} \ \\ ( \because \: {i}^{2} = - 1) \\ \\ ( - 1).i + 1 \\ \\ = - i + 1 \\ \\ = 1 - i[/tex]

Answer:

6

Step-by-step explanation:

Think of the equation as 3/4 x 8/1.  Multiply across to get 24/4 which can be simplified to the number 6.

Answer:

bruh moment hdu2ebdd

Step-by-step explanation:

yqh1 badalamenti

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. But I would show you how to solve the problem.

Two events A and B are said to be independent if the occurrence of event A does not affect the occurrence of event B and vice versa. P(A and B) = P(A) * P(B).

Two events A and B are said to be mutually exclusive if event A and event B cannot occur at the same time. P(A and B) = 0.

Two events A and B are said to be complementary when event A occurs if and only if event B does not occur and vice versa.

Answer:

she took 13 classes that were worth 3 credits

Step-by-step explanation:

well we know that some of the classes are worth 3 and some are worth 4 and that all of these together = 59 so your first equation would be

3x+4y=59

x  would be the number of classes worth 3 credits and y would be the number of classes worth 4 credits.

then it says the total number of classes that they took was 18 so we know that

x + y =18.

you want to solve for the number of 3 credit classes so lets go ahead and get rid of the y values. SO you need you multiply the x+y equation by 4

4x+4y=72

then subtract 4x+4y=72  from 3x+4y=59 to get

-x = -13

and then x is a negative so you need to divide -1 from both sides and you get that she took 13 classes that were worth 3 credits.

12.5 x 64 /100  = 8

Therefore, 12.5% of 64 is 8 (or B).