MATHEMATICS COLLEGE

Find the percent change from a stock that was worth $230 and is now $287

Answers

Answer 1

Answer:

Answer:

24.78%

Step-by-step explanation:

Initial price = $230

Final price = $287

change in price = final price - initial price

= 287 - 230

= $57

Percent change

= (change in price / initial price) x 100%

= (57 / 230) x 100%

= 24.78%

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Simplify the following expression by using the distributive property 6(3a-4)

Answers

$\huge\boxed{\boxed{Hello\:there!}}$

The Distributive property states that

a(b+c)=ab+ac

Now, let's simplify:

6(3a-4)

18a-24

$\huge\bold{Hope\:it\:helps\;and\;good\;luck.}$

$\huge\rm{LoveLastsAllEternity :)$

Answer:

first you multiply 6 and 3a which equals 18a. Then you multiply 6 and 4 which equals 24. So in the end it should look like: 18a-24

In the figure, side AB is given by the expression (5x + 5)/(x + 3), and side BC is (3x + 9)/(2x - 4).The simplified expression for the area of rectangle ABCD is _______, and the restriction on x is ____.

Answers

Answer:

The simplified expression for the area of rectangle ABCD is $( 15(x + 1))/(2(x - 2))$ , and the restriction on x is x≠2 .

Step-by-step explanation:

Side AB = Width of rectangle = (5x + 5)/(x + 3)

Side BC = Length of rectangle = (3x + 9)/(2x - 4)

Area of Rectangle = Length * Width

Putting values:

$Area\,\,of\,\,rectangle =( (3x + 9))/((2x - 4)) * ((5x + 5))/((x + 3))$

Solving,

$Area\,\,of\,\,rectangle =( 3(x + 3))/((2x - 4)) * (5x + 5)/((x + 3)) \nArea\,\,of\,\,rectangle =( 3)/(2(x - 2)) * 5x + 5\nArea\,\,of\,\,rectangle =( 3(5x + 5))/(2x - 4)\nArea\,\,of\,\,rectangle =( 15x + 15)/(2x - 4)\nArea\,\,of\,\,rectangle =( 15(x + 1))/(2(x - 2))$

The restriction on x is that x ≠ 2, because if x =2 then denominator will be zero.

So, the answer is:

The simplified expression for the area of rectangle ABCD is $( 15(x + 1))/(2(x - 2))$ , and the restriction on x is x≠2 .

GUESS!147 - One digit is right but in the
wrong place
189 - One digit is right and in its
Place
964- Two digits are correct but both
are in the wrong place
523 - All digits are wrong
286 - One digit is right but in the
wrong place
What
are
the three numbers !

Answers

The three numbers are 6, 7 and 9

Explanation:

First of all exclude the numbers which aren't correct.

From the 4th data,We can conclude the digit 5, 2 and 3 are wrong.

Now,

147 - One digit is right but wrong placed
189 - One digit is right and placed correctly
964 - Two digits are correct but at wrong place
523 - All digits are wrong
286 - One digit is right but in the wrong place

We've to find the three digits :

From case 4: 5, 2 and 3 are wrong

So, remove 5, 2 and 3 from all the cases

The numbers are:

147 - One digit is right but wrong placed
189 - One digit is right and placed correctly
964 - Two digits are correct but at wrong place
_86 - one digit is right but in the wrong place

From 1st and 3rd we can say that: 4 is present in both the case but wrongly placed.

Now the digits become:

1_7 - One digit is right but wrong placed
189 - One digit is right and placed correctly
96_ - Two digits are correct but at wrong place
_86 - one digit is right but in the wrong place

From 3rd and 4th case we can say that: 9 and 6 are correct but wrongly placed, 8 is not the number and 6 is placed at first

So, the two numbers of a 3 digit number are 6 and 9

From 2nd, 3rd and 4th case, the position of 6 and 9 are:

6 _ 9

From 1st case, 7 is the digit but wrongly placed. So, the 3 digit number becomes:

6 7 9

Select each polynomial that is a perfect square.Question 5 options:

x2−10x−25

4x2−12x+9

9x2+12x+16

16x2+16x+1

Answers

Answer:

4x^2−12x+9

Step-by-step explanation:

The form of a perfect square trinomial is ...

(a +b)² = a² +2ab +b²

The first and last terms must be positive and perfect squares. The middle term must be twice the product of their roots (possibly with a minus sign).

x^2 -10x -25 . . . . -25 is not a positive perfect square

4x^2 -12x +9 . . . . 12x = 2√(4x^2·9) = 2·6x . . . . perfect square

9x^2 +12x +16 . . . 12x ≠ 2√(9x^2·16) = 2·12x

16x^2 +16x +1 . . . 16x ≠ 2√(16x^2·1) = 2·4x

The speed of light is about 1.9 x 10^5 miles per second. It takes about 500 seconds for light to travel from the Sun to Earth.What is the approximate distance between Earth and the Sun?
A 3.8 x 10^2 miles
B 9.5 x 10^6 miles
C 9.5 x 10^7 miles
D 95 x 10^7 miles