Mary invests £12000 in a savings account.
The account pays 1.5% compound interest per year.
Work out the value of her investment after 2 years.

Answer:

-3-7

Step-by-step explanation:

-3-7=10

Answer:

-3 - 7.

Step-by-step explanation:

-3 - 7 = -10.

Answer:

Option (i)

Step-by-step explanation:

{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.

Answer:

C

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given x = 12, y = 144

We can see that y is 12 times the value of x, thus

(a)

y = 12x

(b)

when x = 7, then

y = 12 × 7 = 84

Answer: x=14

Step-by-step explanation: The total is 180 degrees. The right angle is 90, the given angle is 76, so x is 14.

Answer:

Step-by-step explanation:

3/4 t = 2/3

Multiply both sides of the equation by 4/3

4/3 * 3/4 t = 4/3 * 2/3

Reduce the numbers with G.C.F 4

1/3 * 3t = 4/3 * 2/3

Reduce the numbers with G.C.F 3

t = 4/3 * 2/3

Multiply the fractions

t = 8/9

Hope this helps...

Good luck on your assignment...

Answer:

[tex]t= \frac{8}{9} \\ [/tex]

Step-by-step explanation:

[tex]3/4t=2/3 \\ \frac{3}{4} t = \frac{2}{3} \\ cross - multiply \\ 3t \times 3 = 4 \times 2[/tex]

[tex]9t = 8 \\ divide \: both \: sides \\ of \: the \: equation \: by \: 9 \\ \frac{9t}{9} = \frac{8}{9} [/tex]

[tex]t = \frac{8}{9} [/tex]

Answer:

Answer is option a) 4:5

Step-by-step explanation:

[tex]the \: ratio \: \frac{4}{5} can \: \\ also \: be \: written \: as \: 4 : 5[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

Hello!

~~~~~~~~~~~~~~~~~`

Profit % = (Profit/C.P)*100

= (1000/8000)*100

= 12.5%

Step-by-step explanation:

Cp of 1000glass =8000

100were broken =8000-800=7200

now there were 900 glass tumblers left he sold at rs10 each =9000

there for sp is bigger than cp

P in rs =9000-8000=1000

Hope this helped you! Brainliest would nice..!

☆_________________❤︎________________☆

Answer:

a) Each friend gets 12 sweets

b) There is 1 sweet left

Step-by-step explanation:

When you divide 49 by 4 you will get 12 with a remainder 1.

49 ÷ 4 = 12 R1

The remainder is the left over while the total result is how much each friend gets.

Answer:

A) 12

B) 1

Step-by-step explanation:

49 cannot be divided equally among the 4 friends but 48 can be divided.

A) So,

48/4 = 12 sweets

Each friend gets 12 sweets

B) 1 sweet is left

Answer:

-7/4 =x

Step-by-step explanation:

x-2(x+3) = 4(2x+3) -(x+4)

Distribute

x -2x -6 =8x+12 -x -4

Combine like terms

-x-6 = 7x +8

Add x to teach side

-x-6 +x = 7x+x+8

-6 = 8x+8

Subtract 8 from each side

-6-8 =8x+8-8

-14 = 8x

Divide by 8

-14/8 = 8x/8

-7/4 =x

Answer:

Step-by-step explanation:

[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]

Answer:

90 degrees

Step-by-step explanation:

Answer:

you didn't specify much!

So I am saying they are 45° each and that make the sum of both 90°

Step-by-step explanation:

According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,

Answer:

Answer is below

Step-by-step explanation:

The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.

Answer:

1.  A. No

2. A. Yes

Step-by-step explanation:

1. B.   Because the numbers to the left of 7 are smaller than the numbers to the right of 7 on the number line.

2. B. Because to the right side has more numbers than the left side so amber is correct

Answer:

x ≠ 1.

Step-by-step explanation:

In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.

x - 1 = 0

x = 1

That means that the domain of the function is x ≠ 1.

Hope this helps!

The value of domain is,

⇒ {- ∞, ∞} - {1}

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ y = 3 / (x - 1)

Now, We can find the domain as;

Here, The function is,

⇒ y = 3 / (x - 1)

Hence, Domain is,

⇒ {- ∞, ∞} - {1}

Thus, The value of domain is,

⇒ {- ∞, ∞} - {1}

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

RU is a diameter, so the two equations make half a circle which is 180 degrees.

24x+5 + 10x+5 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34

X= 5

RS= UV

RS = 10x +5

Replace x with 5

RS = 10(5) + 5 = 55

Answers:

X = 5

RS = 55

Answer:

D) 28+32

Step-by-step explanation:

Well, if you solve the equation in the question, you derive 60.

So, solve all of the equations in the answer, and you find that the last answer choice is the only one that equals 60.

Hope this helped.

Answer:

28 + 32

Step-by-step explanation:

4(7 + 8)= 4*7+4*8= 28+32= 60

Last option is correct

Answer:

C and D.

Step-by-step explanation:

I am guessing that he wants to find if 2 is a rational number by comparing it to  the fraction [tex]\frac{\sqrt {2}}{1}[/tex]

There are a couple of reasons why Mark is not correct:

1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.

2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.

So, C and D would be correct.

NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.

Answer:

Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.​

Step-by-step explanation:

This is the correct answer

brainliest pls

Answer:25

Step-by-step explanation:

Get monkeyd

Answer:

?=3

Step-by-step explanation:

a= 3/5 b - 7

Answer:

the number that should be in the green box is 3

Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..

7 less than three fifths of b is a gives 3/5b-7=a

Answer:

About 8595 students

Step-by-step explanation:

If approximately 9/20 of the students are male, multiplying this by the total number of students enrolled will give a good approximation of the total number of enrolled males. 9/20 * 19100=8595. Hope this helps!

Answer:

8595

Step-by-step explanation:

9/11 is the ratio of male to female

9/20 of students are male and 11/20 are female

If total number is 19100,

then male= 19100*9/20= 8595

Answer:

0

Step-by-step explanation:

If we factor out √5a from the numerator we have √5a * (√4 - √9 + √1) / √5a. √5a cancels out so we are left with √4 - √9 + √1 which equals 2 -  3 + 1 = 0.

Answer:

588 units^2

Step-by-step explanation:

To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.

This is 3.5 multiplied by their original measures:

Length = 3.5 x 8 = 28

Width = 3.5 x 6 = 21

Now, area =. LxW = 588 units^2

Hope this helps

Answer:

588 units squared

Step-by-step explanation:

We have a rectangle that has dimensions 8 units by 6 units.

From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:

new length = 8 * 3.5 = 28 units

new width = 6 * 3.5 = 21 units

Given this, we can now calculate the area.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width.

Here, the length is l = 28 and the width is w = 21. Plug these in:

A = lw

A = 28 * 21 = 588

The answer is thus 588 units squared.

~ an aesthetics lover

Answer:

  y = 2x +10

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:

  m = -1/(-1/2) = 2

Using the above point-slope form equation, we can write the equation of line t as ...

  y -4 = 2(x -(-3))

  y = 2x +6 +4 . . . . add 4, simplify

  y = 2x +10 . . . . equation of line t

Answer:

0.7

if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root

Hope this helps

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

0.49 = 49/100

√(49/100)

√49/√100

7/10

= 0.7

Answer:

The correct option is;

pH = 4.1

Step-by-step explanation:

The given information are;

The hydrogen ion [H⁺] concentration in tomato juice = [tex]10 ^{-4.1}[/tex]

The pH of a solution = -㏒{H⁺] =  -㏒( [tex]10 ^{-4.1}[/tex]) = -(-4.1) × ㏒(10) = 4.1

The pH of the of the tomato juice = 4.1

The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.

Answer:

17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Side T = t

Side V = 14

Side U = 11

The value of t can be obtained by using cosine rule as show below:

t² = u² + v² – 2uv cosT

t² = 11² + 14² – 2×11×14 cos 87°

t² = 121 + 196 – 308 × Cos 87°

t² = 300.88

Take the square root of both side

t = √300.88

t = 17.3

Therefore, the value of t is 17.3

Answer:

6A) i) 5 and 3 product is 15

ii) (-5) and (-3) product is 15

6B. The product of 5·i and 3·i is -15

6C. When two or more real factors are multiplied and they have the same sign, the product is positive

Step-by-step explanation:

6A. To examples that support Francisco's statement are;

Given the factors that have the same sign;

i) 5 and 3 both positive

ii) (-5) and (-3) both negative

The products of each of the two factors are therefore;

5 × 3 = 15 (Positive product)

(-5) × (-3) = 15 (Positive product)

6B. An example that refutes Francisco's claim is the product of two imaginary numbers 5·i and 3·i where i = √(-1) as follows;

5·i × 3·i = 15·i² = 15×i×i = 15 × √(-1) ×√(-1) = 15×(√(-1))² = 15 × (-1) = -15

Therefore;

5·i × 3·i = -15 which is a negative number and therefore refutes Francisco's claim

6C. Francisco could rewrite his statement as follows;

When two or more real factors are multiplied and they have the same sign, the product is positive

To make it always true.

Answer:

[tex]\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }[/tex]

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

[tex]f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)[/tex]

So we can say that

[tex]a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}[/tex]

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

[tex](x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab[/tex]

and we can notice that

[tex]a^2+b^2=(a+b)^2-2ab[/tex] so

[tex](x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab[/tex]

it comes

[tex]x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}[/tex]

multiply by 3

[tex]3x^2-20x+2*16+5=3x^2-20x+37[/tex]

Answer: ŷ = 0.96185X + 3.55949

Step-by-step explanation:

From the plot provided : our points are;

(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)

According to relation:

Y = mx +c

Using the online linear regression calculator

ŷ = 0.96185X + 3.55949

The gradient or slope (m) = 0.96185

m = (y2 - y1) / (x2 - x1)

Answer:

Area = 4.5 cm²

Step-by-step explanation:

Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]

Where Base = 3 cm, Height = 3 cm

So,

Area = 1/2 (3*3)

Area = 9/2

Area = 4.5 cm²