2/3 of the students in class are male. If 18 of the students are male, how many students are in the class

The annual interest rate is 6.69%  for 3 years at compound interest.

What does the term "compound interest" mean?

[tex]A = P.( 1 + \frac{r}{n} )^{n.t}[/tex]

p = 5600

t = 3

I = 1200

n = 1

The interest  earned I is

I = [tex]P. ( 1 + \frac{r}{n} )^{n.t} - P[/tex]

1200 = [tex]5600 . ( 1 + \frac{r}{1} )^{1.3} - 5600[/tex]

[tex]1200 = 5600 .( 1 + r )^{3} - 5600[/tex]

[tex]\frac{1200}{5600} = ( 1 + r)^{3} - 1[/tex]

[tex]\frac{3}{14} = ( 1 + r )^{3} - 1\\[/tex]

[tex]\frac{17}{14} = ( 1 + r)^{3}[/tex]

Take the log base 10 of both sides

log17 - log14 = 3.log( 1 + r)

1.23045 - 1.14613 = 3.log( 1 + r)

3.log( 1 + r) = 0.084322

log( 1 + r) = 0.028107

1 + r = [tex]10^{0.28107}[/tex]

1 + r = 1.06686

r = 0.06686

The annual interest rate is 6.69%.

Learn more about compound interest

brainly.com/question/14295570

#SPJ9

Answer:

Using the horizontal line test, the one to one functions are those which do not intersect with the line more than one time

In the given graphs, the fourth graph represents the one - one fucntion.

Use the concept of graph of fucntion defined as:

Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.

The graph of a one-to-one function is a representation that shows each input value (x) uniquely paired with a corresponding output value (y), with no repetition or overlap in the mapping.
It passes both the vertical line test and horizontal line test, ensuring each input has a distinct output and vice versa.

In the fourth graph:

Apply the vertical line test and we get,

Each input has a distinct output.

Hence,

The fourth graph represents the one-one fucntion.

To learn more about graph of function visit:

https://brainly.com/question/12934295

#SPJ7

Answer:

Can be C or D

Step-by-step explanation:

Janice and her 4 friends means there are 5 people in total.

She will divide them and so beads will be left which means no remainder.

so we have to look for a number divisible by 5

480 and 240 both are divisible by 5

After dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​, we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.

We are given an expression:

( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​

We need to perform division of the algebraic expression:

                                  5 x² - 7 x + 4

             3 x² + x + 1 √15 x⁴ - 16 x³ + 10 x² + 8 x - 17

                                   15 x⁴ + 5 x³ + 5 x²

                                   ______________________

                                             - 21 x³ + 5 x² + 8 x - 17

                                             - 21 x³ - 7 x² - 7 x

                                   ______________________

                                                       12 x²  + 15 x - 17

                                                       12 x²  + 4 x + 4

                                   ______________________

                                                                   11 x - 21

                                   ______________________

Therefore, after dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​, we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.

Learn more about division here:

https://brainly.com/question/25289437

#SPJ9

answer: I think the result is 12

Step-by-step explanation:

c(b+a)-a=

2(3+6)-6=

6+12-6= 12

The correct option is d)10.01 kg​;       y + x = 10.01 kg.

When converting units, you are generally given one measure but instead asked to convert it to another.

For the given values in the question;

x = 10 g  and y = 10 kg

As, both the values are of mass.

For adding both values, the unit must be same.

So, convert the value of x in kg from g.

1 kg = 1000 g

Thus, 1 g = 1/1000 kg

10 g = 10/1000 kg

10 g = 0.01 kg

Now add both;

x + y = 0.01 + 10

x + y = 10.01 kg

Thus, the value of x + y is found as 10.01 kg.

To know more about unit conversion, here

https://brainly.com/question/13016491

#SPJ9

The correct question is-

a)10.1 kg

b)100.1 g

c)10.1 kg

d)10.01 kg​

If the total cost before tax was $11.5, then the cost of each bottle of juice j= $1.6 which can be found by the equation 5j + $3.50 = $11.50.

The cost of each bottle can be determined by using an algebraic expression.

An algebraic expression can be defined as the use of both numerals and letters in a mathematical equation.

To find the cost of each bottle, an algebraic expression can be given as,

Cost of a 5-pack of juice bottles + Cost of popcorn = Total cost before tax

5j + $3.50 = $11.50

Solving for j,

5j = 11.50 - 3.50

5j = 8

j = 8/5

j = $1.6

Hence, the cost of each bottle from a 5-pack of juice bottles is calculated to be $1.6

To learn more about algebraic expressions, click here:

https://brainly.com/question/4344214

#SPJ4

The coordinates are  A'(14, 3), B'(-6. 2) and C'(-8, 6)

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

given rule:

(x,y) -> (2x,y-3)

Also, we have

A(7,6), B(-3,5), and C(-4,9)

so, after applying the rule we have the coordinates

A'(14, 3)

B'(-6. 2)

C'(-8, 6)

Hence, the coordinates are A'(14, 3), B'(-6. 2) and C'(-8, 6)

Learn more about transformation here:

https://brainly.com/question/11990146

#SPJ1

The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

Firstly, refer to the image attached for the complete question.

Now,

Given: The value of the digit in the hundreds place in 653,841 is: 800

Now, the following cases arise for the given options:

Value of digit in the thousands place = 8000

=> 1/10 the value of the digit =  [tex]\frac{1}{10}(8000) = 800[/tex]

Value of digit in the thousands place = 9000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(9000) = 900[/tex]

Value of digit in the thousands place = 4000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(4000) = 400[/tex]

Value of digit in the thousands place = 7000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(7000) = 700[/tex]

Out of all the options, as shown above, only Option A satisfies the given condition.

Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

To learn more about number system, refer to the link: https://brainly.com/question/17200227

#SPJ4

Answer: seven continents

Step-by-step explanation:

Asia, Africa, North America, South America, Antarctica, Europe, and Australia

7+(-1) = -3

Steps of adding 7+(-10) using number line are as following:

1) Draw a number line by ranging from -10 to +10.

2) Point out 7 on the number line.

3) Because -10 is added to 7 on the number line, please move 10 numbers left to 7 on the number line. We always go left in addition of a negative number on the number line.

4) The number we reach -3 on left side would be our final sum.

5) From the number we can clearly see that moving 10 number on left to 7, we get -3.

Note: We are moving left because of negative sign in front of 10.

to know more about number line visit:

brainly.com/question/11135636

#SPJ9

Answer: y = 6.75x + 6

Step-by-step explanation:

Answer:

y=6.75x+6

Step-by-step explanation:

y=mx+b

we can find it by doing [tex]\frac{y^{2}-y^{1} }{x^{2} -x^{1} }[/tex]

I'm going to choose 2,19.5 and 5,39.75

[tex]\frac{39.75-19.5}{5-2}[/tex] we get [tex]\frac{20.25}{3}[/tex] simplified to 6.75

now we know that the slope is 6.75 we can find the y-intercept by plugging in one pair, I'm going to put the 2,19.5 in

19.5=(6.75)2+b then multiply 6.75 by 2

19.5=13.5+b then subtract 13.5 from both sides to remove the 13.5 on B to separate it

6=b so the y-intercept is 6

8. 1,1

9. 5,-5

10. 4, -3

11. 1536, 6144

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.

8. 1000, 100, 10,

In this sequence, each term is getting divided by 10,

So, next two terms are, 1, 1

9.  5, -5, 5, -5, ..

In this sequence, each term is alternating with a minus sign,

So, next two terms are 5, -5

10. 34, 27, 20, 13, ...

In this sequence, each term is i getting substracted by 7,

So, next two term  are 4, -3

11. 6, 24, 96, 384, ...

In this sequence each term is getting multiplied by 4,

So, next two terms are 1536 , 6144

To learn more about sequences and progressions, refer to https://brainly.com/question/24643676

#SPJ9

Answer:

5th - 13

6th - 20

7th - 27

8th - 34

Step-by-step explanation:

You add seven

What you have to do first is you have 5 owners correct? well you take anything they are sharing in the case it is delay/debt. so you divide $110 by 5 and you should get the amount $22. This means that each owner has to pay $22 to the delay.

Answer:

Alright

Ignore the 20, We have 5(x-2)
Brackets mean Multiplication

So, Multiply 5 with x and multiply 5 with 2

=> 20 = 5x - 10

Transpose the 20 to the other side

the twenty being transposed to the other side becomes Minus because it is in plus

And bring 5x in front of the =

=> 5x = 20 - 10
=> 5x = 10

So now we have 5x but we need x so transpose the 5 to the other side

by transposing the five becomes division because its in positive so

=> x = 10 ÷ 5

=> x = 2

Kaboom, All done!

  ΔRc = - 1.806  are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064.

What are examples of resistance?

GF  = ΔR/R /E

a)  Tensile strain E = 0.064

  so    ΔR   =  R . E  . G.F

                  = 100 × 0.064 × 2.10

       ΔRt = 13.44

b)  Compressive strain E = - 0. 0086

     ΔR =  R . E . G.F.

          = 100 ×  - 0.0086 × 2.10

     ΔRc = - 1.806

Learn more about resistances

brainly.com/question/11431009

#SPJ4

Answer: 7.6

Step-by-step explanation:

The probability value indicates that there is statistical significance in 0.015 option (b) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

The p-values are:

As we know,

Statistical significance is commonly defined as a probability value of 0.05 or even less. P-value can be used in replacement of or in additional to preset levels of confidence when testing the claim.

Thus, the probability value indicates that there is statistical significance in 0.015 option (b) is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ4

Answer:

6

Step-by-step explanation:

10⁰=1

9⁰=1

7⁰=1

5⁰=1

3⁰=1

1¹⁰⁰=1

so,

10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰=1+1+1+1+1+1=6

Answer:

6

Step-by-step explanation:

We are working with exponents

Any number to the power of 0 is 1

a^0 = 1

1 to a power is 1

10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰​

1 + 1 + 1 + 1 + 1 + 1

6

Answer:

9

Step-by-step explanation:

6 / 2(1+2)

6 / 2 (3)

6 / 2 * 3

3 * 3

9

⭐ Please consider brainliest! ⭐

The two numbers are found as 9 and 16.

For the given questions;

Let the first number be 'a'.

Let the second number be 'b'.

Then, first number is seven less than a second number.

a = b - 7

Now, 5 times the first is 13 more than twice the second.

5a = 2b + 13

Put the value of a in above equation;

5(b - 7) = 2b + 13

Simplifying;

5b - 35 = 2b + 13

3b = 48

b = 16 (second number)

a = b - 7

a = 16 - 7

a = 9 (first number)

Therefore, the two number are found as 9 and 16.

To know more about the linear equation in two variables, here

https://brainly.com/question/13951177

#SPJ9

The value of the expression |x-1| if x>1 without using absolute value notation is x-1.

The Absolute value of any number may be defined as the distance of the given number on a number line from the point of origin. The absolute value of any number x is given by |x|. The absolute value of any number will always give a positive value regardless of the sign of the number.

For example, the absolute value of |-2| is given by 2 and the absolute value of |2| is also given by 2. Here, in the question it is given that x>1.

=> x>1

=> x-1>0

Thus, if x-1>0 then the absolute value of the expression |x-1| is given by x-1 as x-1>0.

Learn more about Absolute value at:

brainly.com/question/28314741

#SPJ1

Answer:

4a.        [tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]

4b.        [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]

Step-by-step explanation:

The expression for problem (4a) is

[tex]\frac{x-1}{4x-2}-\frac{5-2x}{3-6x}[/tex]

Least Common Multiplier of the denominators. The easiest way to do this is to simply multiply the denominators together.

LCM of [tex]4x-2,\:and\;3-6x[/tex]

But first, let's simplify the two expressions by factoring

[tex]4x-2 = 2(2x-1)[/tex] and

[tex]3-6x = -3(1-2x) = 3(2x - 1)[/tex]

[tex]2(2x-1) -3(2x-1)[/tex]

Multiply the coefficients 2 and -3 to get -6 and find an expression that appears in both.

This gives LCM as [tex]6(2x-1)[/tex]

[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:6\left(2x-1\right)[/tex]

For [tex]\:\frac{x-1}{4x-2}[/tex] [tex]\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3[/tex] since [tex]3(2x-1) = 6x -1[/tex]

[tex]\frac{x-1}{4x-2}=\frac{\left(x-1\right)\cdot \:3}{\left(4x-2\right)\cdot \:3}=\frac{\left(x-1\right)\cdot \:3}{6\left(2x-1\right)}[/tex]

[tex]\mathrm{For}\:\frac{5-2x}{3-6x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:-2[/tex] since

[tex]-2(3-6x) = (-6 +12x) = -6(-1+12x) = -6 + 12x = 6(2x-1) = 12x - 6 = 6(2x-1)[/tex]  

We get

[tex]\frac{5-2x}{3-6x}=\frac{\left(5-2x\right)\left(-2\right)}{\left(3-6x\right)\left(-2\right)}=\frac{-2\left(5-2x\right)}{6\left(2x-1\right)}[/tex]

Since the denominators are the same, we can apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]

[tex]=\frac{\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)}{6\left(2x-1\right)}[/tex]

Numerator [tex]\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)=\left(x-1\right)\cdot \:3+2\left(5-2x\right)[/tex]  becomes

[tex]3\left(x-1\right)+2\left(5-2x\right)[/tex] = [tex]3x - 3 + 10x - 4x = -x + 7[/tex]

Therefore the expression result is

[tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]

Part (b)

Note that [tex]9x^2-1 = (3x+1)(3x-1) \textrm{using the property} (a+b)(a-b) = a^2-b^2[/tex]

So the LCM is [tex]=\left(3x+1\right)\left(3x-1\right)[/tex] = [tex](3x+1)(3x-1)[/tex]

[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\; (3x+1)(3x-1)[/tex]

Multiply the second term in the expression by [tex]3x+1[/tex] and subtract from the first term

==>  [tex]\frac{2x+3}{(3x+1)(3x-1)} - \frac{7(3x+1)}{(3x-1)(3x+1}[/tex]

==> [tex]\frac{2x+3}{9x^2-1} - \frac{7(3x+1)}{9x^2-1}[/tex]

==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]

==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]

==> [tex]\frac{2x+3-21x-7}{\left(3x+1\right)\left(3x-1\right)} \\[/tex]

==> [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]