A certain sum amounts to $2200 in 2 years to $2800 in 4 years at simple interest. Find the sum and the rate per cent per annum.

Answer: 206621

Step-by-step explanation:

563x367=206621, so 563x7=3941, 563x60=33780, and finally 563x300=168900. Add them all up, 3941 + 33780 + 168900 = 206621.

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Answer:

54 Miles Per Hour

Step-by-step explanation:

162/3

Answer:

4 ft

Step-by-step explanation:

Volume of a cube = [tex]x^{3}[/tex] (where x equals the side/edge length)

V = [tex]x^{3}[/tex]

64 = [tex]x^{3}[/tex]

64 divided by 3 = 4 ft

Answer:

You do not count the zero to the left of the decimal

Step-by-step explanation:

That zero is just a placeholder as there is nothing to the left of the decimal, you could also write the number as .000157

Your answer is correct, 0.000157 is 1.57x10^-4

Scientific notation is just expressing numbers in their exponential form. The power/exponent is found by counting how many times the decimal has moved to the right or the left.

Answer:

In deductive reasoning, if the given facts are true and you apply the correct logic, then the conclusion must be true.

Step-by-step explanation:

Answer:

All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.

Step-by-step explanation:

Answer:

(x-1)!

Step-by-step explanation:

lets say you want to sit x people around a table you would do x!. but since it doesn't count if you rotate the table you have to divide it by x, so the answer is x!/x = (x-1)!

Answer:

31%

Step-by-step explanation:

use the formula :

P(A&B) / P(B)

meaning :

probability that a student graduates while on fin aid / student on fin aid

= 1879/6101

=1879/6101 *100

= 30.798....

= 31%

Answer:

1:50 scale

Step-by-step explanation:

9.5m * 100 = 950cm

950/19 = 50

Answer:

Step-by-step explanation:

[tex]81-39\\\\\mathrm{Line\:up\:the\:numbers}\\\begin{matrix}\space\space&8&1\\ -&3&9\end{matrix}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}\\\begin{matrix}\space\space&8&\textbf{1}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\\\mathrm{Borrow\:}1\mathrm{\:from\:}8\mathrm{.\:\:The\:remainder\:is\:}7\\[/tex][tex]\begin{matrix}\space\space&\textbf{7}&10\\ \space\space&\textbf{\linethrough{8}}&1\\ -&\textbf{3}&9\end{matrix}\\\\\mathrm{Add\:}1\mathrm{\:ten\:to\:}1:\quad \:10+1=11\\\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:11-9=2\\[/tex]

[tex]\frac{\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{2}\end{matrix}}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:7-3=4\\\\\frac{\begin{matrix}\space\space&\textbf{7}&11\\ \space\space&\textbf{\linethrough{8}}&\linethrough{1}\\ -&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\textbf{4}&2\end{matrix}}[/tex]

Answer:

4

Step-by-step explanation:

after paying for 4 movies he's spent more than how much he would pay at the other one for downloading 4 movies

Answer:

4x^2-9

Step-by-step explanation:

i just took the quiz

This is about greatest Common factor (G.C.F) thus Option C and Option D does not have a greatest common factor.

The Greatest common factor between 2 or more numbers is simply the greatest factor that is common to all the numbers.

Option A; 2x² -18

Factors of 2 are 1, 2

Factors or 18 are; 1, 2, 3, 6, 9, 18

In this option we can see that 2 is the only common factor between all the numbers.

Thus, the GCF = 2 So this has a GCF

Option B: 3x² + 12x + 6

Factors of 3 are 1, 3

Factors of 6 are 1, 3. 6

Factors or 12 are; 1, 2, 3, 4, 6, 12

The highest common factor is 3 Thus, this has GCF.

Option C; 4x² - 9

The factors of 9 are; 1, 3, 9

The factors of 4 are; 1, 2, 4

Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.

Option D; 6x² +  2x² + 5x

The factors of 9 are; 1, 3, 9

The factors of 4 are; 1, 2, 4

Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.

To Read more about the concept at;

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Answer:

D

Step-by-step explanation:

It's D on Enginuity

The graph of the function in the coordinate plane is f(x) = –5x – 19.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

As per the given diagram:

The x intercept of the line = -ve

The y intercept of the line = -ve

For f(x) = 3x - 11

x intercept = +ve

y intercept = -ve

Hence, not possible

For f(x) = -4x + 12

x intercept = +ve

y intercept = +ve

Hence, not possible

For f(x) = 4x + 13

x intercept = -ve

y intercept = +ve

Hence, not possible

For f(x) = -5x - 19

x intercept = -ve

y intercept = -ve

Hence, possible

The function plotted on the coordinate plane is f(x) = –5x – 19.

To learn more on Graphs, click:

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Answer:

I'm fairly sure its 4.93 grams.

Step-by-step explanation:

you take the origional water of 45.1ml and the new 52.3ml, and find the difference, which in this case is 7.2ml.

the density formula is D=M/V

D= Density

M=Mass

V=Volume

so it would be

D= 35.49/7.2

which is 4.93.

again this is just from what I remember of science class.

Answer: 4.93g/cm^3

Step-by-step explanation:

Formula for Density: D = mass / volume

We know that the mass of the unknown object is 35.49g

Mass = 35.49g

To find the volume

Initial water level: 45.1 mL

Final water level: 52.3mL

52.3cm^3 - 45.1cm^3 = 7.2cm^3

Volume = 7.2cm^3

Density = 35.49g/7.2^3

Density =

Answer:

6

Step-by-step explanation:

Note the rules for signs directly next to each other:  

If there is two positive signs, the result will be positive.

If there is one positive and one negative sign, the result will be negative.

If there is two negative signs, the result will be positive.

In this case, there is a positive and a negative sign. You are, therefore, subtracting 10 with 4:

10 + (-4) = 10 - 4 = 6

6 is your answer.

~

Answer: A) 23

Step-by-step explanation:

3^2 + ( 6 - 2 ) ⋅ 4 -6/3

3^2 + 4 ⋅ 4 -6/3

9 + 4 ⋅ 4 -6/3

9 + 16 -6/3

25 - 6/3

75/3 -6/3 = 69/3

69/3 = 23

Answer:

23

Step-by-step explanation:

3^2 + (6 - 2) x 4 - 6/3

3^2 + 4 x 4 - 6/3

9 + 16 - 6/3

25 - 6/3

6/3 = 2

25 - 2 = 23

Answer: 7

Step-by-step explanation: For the first figure, 7 + 3 = 10, so the perimeter would be 10 + 10 + 7 + 7, which equals Perimeter = 34. For the other figure, 7 - 4 = 3, so 3 + 14 + 14 + 3 = 34, also. Hope this helps!

The answer is B.

In order for this chart to be true, each x and y pair must be proportional to the other ones. (in other words, each row of x and y should increase the same amount as the other ones.)

look at the first row. we can write this as 3/5 (x over y). then look at the third and fourth row. 6/10 = 3/5, and 9/15 = 3/5, so the pairs are proportional.

Answer:

 75°C = 5h

Step-by-step explanation :

1. Make sure your mind is fresh and that you understand each step before reading

2. 24 hours is equal to  360°C

3.  so now lets break up the hours. We can do this by choosing a simple degree that was given in the diagram. For example "Watching tv".

Tip : when choosing one of the degrees , ( i mean one of the choices like watching tv, playing and sleeping) , try choosing the simplest one , which has a simple number and a multiple of 360.

so now you want to know how many hours is 60 equal to .

= 360 ÷ 60 = 60   (this is to make sure the number is a multiple and will not be a decimal )

= 24 ÷ 6 = 4

this means Ali spend 4 hours watching tv

and by doubling that you get                    60°C = 4h

the amount of time he slept                     120°C = 8h

and you keep playing with the numbers like that

so for playing                                                

                                                                   60°C = 4h

                                             divide by 4    15°C =  1h

                                           × by 5             75°C = 5h

this means ali spends 5h playing , 8h sleeping, 4h watching tv and 7 h studding

Answer:

C. is the correct option

C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3

and x = - 14

Step-by-step explanation:

8 ^ (x + 3) = 2 ^ (2x - 5)

Here is how the student solved the equation

8 ^ (x + 3) = 2 ^ (2x - 5)

8 ^ (x + 3) = 2 ^ (2x - 5)

(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)

2 ^ (3x + 3) = 2 ^ (2x - 5) -----  This is where the student made the error.

The student did not distribute 3 in * (2 ^ 3) ^ (x + 3).

This is how to solve the equation

8 ^ (x + 3) = 2 ^ (2x - 5)

8 ^ (x + 3) = 2 ^ (2x - 5)

(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)

Then, we will 3 distribute in  (2 ^ 3) ^ (x + 3), so that we get

2 ^ (3x +9) = 2 ^ (2x -5)

Since the bases on both sides of the equation are equal, we can equate the powers so that we get

(3x +9) = (2x -5)

Then we will collect like terms

3x - 2x = -5 -9

∴ x = -14

This solution could be better written in this format

[tex]8^{x+3} = 2^{2x-5} \\2^{3} ^{(x+3)} = 2^{2x-5}\\2^{(3x+9)} = 2^{2x-5}\\{(3x+9)} = {2x-5} \\3x-2x= -5-9\\x = -14[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{k = - 9}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \text{ - 126 = 14k}}[/tex]

[tex] \text{step \: 1 \: : Intercambia los lados de la ecuación}[/tex]

[tex] \hookrightarrow{ \sf{14k = - 126}}[/tex]

[tex] \text{step \: 2 : Divide ambos lados por 14}[/tex]

[tex] \hookrightarrow{ \sf{ \frac{14k}{14} = \frac{ - 126}{14}}} [/tex]

[tex] \text{step \: 3 \: : Calcular}[/tex]

[tex] \hookrightarrow{ \sf{k = - 9}}[/tex]

[tex] \text{el valor de k es - 9}[/tex]

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

Translation in English:

Step 1 : Swap the sides of the equation

Step 2 : Divide both sides by 14

Step 3 : Calculate

[tex] \sf{Hope \: i \: helped ! }[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \sf{TheAnimeGirl}[/tex]

j = 13

7×j = 91

j = 91 : 7

j = 13

Answer:

2000+ (2000× .04x)

Step-by-step explanation:

2000 people plus the percent that it grows, found by multiplying .04 (4%) by the original number. the x is the number of years

Answer:

A would be the anwser

Step-by-step explanation:

Answer:  A. 72.07

Step-by-step explanation: Plato

Step-by-step explanation:

In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.

We know that the sum of angles of a triangle is equal to 180 degrees. It means that,

x+x+x=180

3x=180

x=60°

Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60°  angles. Hence, △ABC is an equilateral triangle

Answer:

13ab

Step-by-step explanation:

5ab+9ab = 14ab. 14ab-1ab=13ab.

Good luck

Answer:

Step-by-step explanation:

f(-3) = 3(-3)^3 + 5 = 3(-27) + 5 = -81 + 5 = -76

g(4) = -4(4) - 1 = -16 - 1 = -17