Colin invests £11180 into his bank account. He receives 5.4% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.

Step-by-step explanation:

13. f(x) = 6x; f(x) = -24

6x = -24

x = -4

14. g(x) = -10x; g(x) = 15

-10x = 15

x = -1.5

15. f(x) = 3x – 5; f(x) = 4

3x-5 =4

3x =9

x = 3

16. h(x) = 14 – 8x; h(x) = -2

14-8x=-2

-8x = -16

x = 2

Answer:

3,430

Step-by-step explanation:

because if you multiply 49 x70 you get the answer

Answer:

a) y = x*70

b) 3430 words

Step-by-step explanation:

b) y = x*70

y = 49*70

y = 3430

Answer:

A. 22

b. Yes. Because there are 23 woman and they are all under 18 and there are 22 males. In which we don't know if they are underage, but it doesn't really matter because there is one more girl in the room than boys. And all woman are underage so there for there are more underage students in the room.

Step-by-step explanation:

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Answer:

there would be 21.6 males. That doesn't work, so you'd have 21 or 22(probably 22)

yes, most of the students are minors. 52% percent at least are under 18 years. 52% is more than half, so that would make it so most are minors.

Step-by-step explanation:

Answer:

2a+2b+4

Step-by-step explanation:

(2a+2b+4)+(3a+8)+(5a+b)=10a+3b+12

Answer:

The perimeter of the triangle is [tex]10a + 3b + 12[/tex], while the two sides is [tex]3a + 8[/tex] and [tex]5a + b[/tex]. To find the missing side, subtract the two known sides from the known perimeter.

[tex](10a + 3b + 12) - (3a + 8) - (5a+b) = 2a+2b+4[/tex]

If we simplify this expression by taking out a factor of [tex]2[/tex], the final answer is: [tex]2a + 2b + 4 = 2(a + b + 2)[/tex].

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Step-by-step explanation:

See top.

Answer:

b.

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

a + b = -19

(a)(b) = 70

To solve this problem, isolate one variable in one of the two equations and then substitute it in.

So, a + b = -19

-> a = -19 - b

b(-19 - b) = 70

Distribute.

-19b - b^2 = 70

Move all to one side.

b^2 + 19b + 70 = 0

Factor. Find two numbers that multiply to 70, but add to 19.

(b + 5) (b + 14) = 0

Zero product rule.

b = -5, b = -14

Now, substitute the two answers for b back into the original equation for a.

a - 14 = -19

a = -5

a - 5 = -19

a = -14

So, the answers are b = -5, b = -14, a = -5, a = -14. Since you said that the smallest integer is the answer, the answer is -14.

The relation (0, 3) , (2, -3) , (1, 8) ,(2, 3) is a function. The domain is {0 , 1, 2}; Choice B

Definition:

Read more:

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Answer:

Step-by-step explanation: Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 57°. What is m∠D? can someone help plsss

If Triangle ABC is congruent to triangle DEF then measure of angle D is 48 degrees.

Given, Triangle ABC is congruent to triangle DEF.

Angle sum property of triangle: Sum of all the interior angles of the triangle is 180 degrees.

Congruent triangles: When two triangles are congruent they are similar in shape and coincide when superimposed.

Now in triangle ABC,

∠B = 90°

∠C = 42°

Apply angle sum property,

∠A + ∠B + ∠C = 180 degrees

∠A + 90° + 42° = 180°

∠A = 48°

When Triangle ABC is congruent to triangle DEF,

∠A = ∠D

∠B = ∠E

∠C = ∠F

Thus measure of angle D is equal to measure of angle A.

∴∠A = ∠D = 48°

Know more about congruent triangles, here:

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Answer:

the answer to that would be 9

Answer:

200/50=h

h=number of hours

Step-by-step explanation:

Maddie drove 200 miles at a speed of 50 miles per hour.

As we know

speed = miles/hours  

and to calculate we use the formula

Hour = miles/speed

So the equation that helps to find the number of hours she was driving =

h = 200/50

Equation will be h =  200/50

Answer:   StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction

Step-by-step explanation:

For constant speed, miles and hours are proportional. One possible equation is ...

_____

I personally like to put the unknown in the numerator, so the equation can be solved in one step. The equation above requires two steps: one to cross-multiply, and one to divide by 50.

I might write the equation as ...

 (? hours)/(200 mi) = (1 hour)/(50 mi) . . . . multiply by 200 mi to solve

Another way to write the equation is matching the ratios of times to corresponding miles:

 (? hours)/(1 hour) = (200 mi)/(50 mi)

This only requires simplification to solve it: ? = 4.

So it would be A.

Step-by-step explanation:

Hello,

Let us choose an element x of the Real Numbers. So x can either be positive or negative. So we have two case to study :

Case 1 : x is positive.

If x is positive, that is, x = 0, 1, 2, 3, ....

then the absolute value gives us the same number : |0| = 0

|1| = 1

|2|= 2

etc.

so the absolute value of x positive equals x : |x| = x

Case 2 : x is negative.

If x is negative, that is, x = - 1, - 2, -3, .....

then the absolue value gives us the opposite value : |-1| = - (-1) = 1

|-2| = -(-2) = 2

|-3| = -(-3) = 3

(Remember the product of two negative sign is a positive signe : -1 * -1 = +1)

And so we can join both cases as a piecewise function, writing :

|x| = [tex]\left \{ {{x=x if x\geq 0 } \atop {x= - x if x<0 }} \right.[/tex]

so x = x if x ≥ 0 and x = - x if x < 0

Finally the answer is : it depend on the function itself. If the function takes both positive and negative value, then the absolute value of the function will be written as a piecewise function. If the function takes only positive or negative value, then it won't be written as a piecewise function.

Answer:

Step-by-step explanation:

Cost of 4 DVDs = $36

Cost of 1 DVD =  36÷ 4  = $9

Cost of x DVD = 9 *x = 9x

y = 9x

1) y = 6

2) x = 3

3) y = - 2/3

4) x = - 6

So all we have to do is substitute the known 'variable' and solve for the unknown variable.

1)    2(-3) + 3y = 12

                 3y = 12 + 6

                  y = 6

2)    4y = (1/3)x - 5

    4(-1) = (1/3)x - 5

   (1/3)x = 5 - 4

        x = 3

3)       (x/3) - 2 = y

    (4/3) - (6/3) = y

                    y = (-2/3)

4)   2(x+1) = 5y

     2(x+1) = 5(-2)

    2x + 2 = - 10

          2x = -12

           x = -6

Answer:

m ∠ABC = 35°

Step-by-step explanation:

lines are parallel  and you have a pair of corresponding angles that are equal.

x = 3x - 70

-2x = -70

x = -70/-2

x = 35°

Answer:

-8

Step-by-step explanation:

Answer:

y = 0

Step-by-step explanation:

Parallel lines have equal slopes

Calculate the slopes of both lines and equate them

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 3 ) and (x₂, y₂ ) = (3, y )

m = [tex]\frac{y-(-3)}{3-1}[/tex] = [tex]\frac{y+3}{2}[/tex]

Repeat with (x₁, y₁ ) = (5, - 6 ) and (x₂, y₂ ) = (9, y )

m = [tex]\frac{y-(-6)}{9-5}[/tex] = [tex]\frac{y+6}{4}[/tex]

Equating the 2 expressions

[tex]\frac{y+3}{2}[/tex] = [tex]\frac{y+6}{4}[/tex] ( cross- multiply )

4(y + 3) = 2(y + 6) ← distribute parenthesis on both sides

4y + 12 = 2y + 12 ( subtract 2y from both sides )

2y + 12 = 12 ( subtract 12 from both sides )

2y = 0 , then

y = 0

Answer:

$5

Step-by-step explanation:

(5/6)*24=20

20-15=5

Answer

a) 3 to 8 b) 1 to 9 c) 8 to 6 (4 to 3 if simplified) d) 2/5

Step-by-step explanation:

These are all similar questions. You need to find the Greatest common divisor or factor that are composite integers multiplying to said fraction; in most simpler terms. Take a the GCF is 7, 21 is a multiple of 7 3x  exponentiating it then 56 8x. If you need further links I have apps and links that can explain it.

Answer:

Part of an ecosystem

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

x = # of boys, y = # of girls

x/3+y/4=16; mult. ea side by 12: 4x+3y=192 (1)

x+y=52; mult. ea side by 3: 3x+3y=156 (2)

(1)-(2)=x=36

Answer:

y = -2x

Step-by-step explanation:

When it is x is -5, y is double of x multiplied into -1.

Hence, it is y = -2x

We can take a couple examples,

i) When x = -5,

   y = -2(-5)

      = 10

ii) When x = -10,

     y = -2(-10)

        = 20

and so on.

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