Charlie invests £1200 at 3.5% per annum compound interest. Work out the value of Charlie's investment after 3 years.

Answer:

3, -x+3, first option

Step-by-step explanation:

just do them man

Answer:

(2,5)

Step-by-step explanation:

There you go.........

Answer:

[tex](2, 5)[/tex]

Step-by-step explanation:

[tex]y=2x+1[/tex]

[tex]x-y=-3[/tex]

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

[tex]x-2x-1=-3[/tex]

[tex]-x-1=-3[/tex]

[tex]-x=-3+1[/tex]

[tex]-x=-2[/tex]

[tex]x=2[/tex]

[tex]y=2x+1[/tex]

[tex]y=2(2)+1[/tex]

[tex]y=4+1[/tex]

[tex]y=5[/tex]

Answer:

D. 15x^2 + 8x - 12

Step-by-step explanation:

To solve this problem, simply expand the factorization and find the polynomial.

5x * 3x = 15x2

5x * -2 = -10x

6 * 3x = 18x

6 * -2 = -12

You are left with 15x2 - 10x +18x - 12, but you need to combine like terms, leaving you with the correct answer: 15x2 + 8x - 12.

Answer:

D.

Step-by-step explanation:

(5x+6)(3x-2)=5x*3x-5x*2+6*3x-6*2=15x^2-10x+18x-12=15x^2+8x-12

Answer:

Check Explanation.

Step-by-step explanation:

Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.

From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.

Total Area under the curve = ½×base×height

= ½ × (5-1) × 0.5 = 1 square unit

Area under the density curve where x is less than 4 is a trapezium.

Area of a trapezium = ½ (a+b) h

For the area under the density curve where x is less than 4,

a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3

Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit

In terms of the total area, Area under the density curve where x is less than 4 covers

(0.9375/1) × 100% = 93.75%

Hope this Helps!!!

Answer: the answer was not C the answer is A

Step-by-step explanation:

Answer:

100 N backward

Step-by-step explanation:

just did it:)

Answer:

sin23° can be written as x / 17 or 0.39. That means we can write x / 17 = 0.39 which gives us x = 6.63.

Answer:

I would think it is supplementary.

Step-by-step explanation:

If 2 angles equal 180 degrees, then they are supplementary.

Answer:

[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Step-by-step explanation:

Given

[tex]3(x + 3y + 2x - y)[/tex]

Required

Possible Equivalents

To start with; we need to simplify the expression in the bracket;

[tex]3(x + 3y + 2x - y)[/tex]

Collect like terms

[tex]3(x + 2x + 3y - y)[/tex]

[tex]3(3x +2y)[/tex]

At this point; we can conclude that [tex]3(3x +2y)[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Solving further, by expanding the bracket

[tex]3(3x +2y)[/tex]

[tex]3*3x +3*2y[/tex]

[tex]9x +6y[/tex]

At this point; we can also conclude that [tex]9x +6y[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Hence,

[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Answer:

It's (B) [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Hope this helped you!

Answer:

f^-1(8) = 3/2

Step-by-step explanation:

f(x) = 2x + 5

y = 2x + 5

x = 2y + 5

2y = x - 5

y = (x - 5)/2

f^-1(x) = (x - 5)/2

f^-1(8) = (8 - 5)/2

f^-1(8) = 3/2

Answer: D) "They indicate a channel," he said, "where there's none: giant rocks with razor edges crouch like a sea monster with wide-open jaws. They can crush a ship . . ."

Explanation: In this part of "The Most Dangerous Game" General Zaroff explains to Rainsford that he hunts humans in his island, and when Rainsford asks why men keep going to the island, the general lights a signal that indicates a channel where there is none, so when the ships were destroyed by the rocks, the sailors are forced to swim to the general's island, where they are hunted, this support the claim that The general does not play fair in his game.

Answer:

thank me later:)

Step-by-step explanation: To make a line paralle to another, the slope has to be the same such as the "m" in "y=mx+b" the y-intercept or "b" could be different. In this case, the slope is -7. So the question mark should be -7.

Answer:

The correct answer is

[tex]y = -7x -3[/tex]

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula [tex]y-y1= m (x-x1)[/tex] to find the line parallel to [tex]y= -7x+2[/tex]

[tex]y=-7x-3[/tex]

Hope this helps!

- Quinn <3

Answer:

I know that (A) is correct for the fisrt one.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

a + b - c

Let's solve for the first triangle.

1 + 3 - 4

4 - 4 = 0

Now for the second triangle.

2 + 5 - 6

7 - 6 = 1

Add 0 and 1.

0 + 1 = 1

Answer:

1

Step-by-step explanation:

1+3=4-4=0

2+5=7-6=1

0+1=1

Answer:

The circumference is 6908 miles.

Step-by-step explanation:

C=πd

C=π*2200

C=3.14*2200

C=6908

Option B is correct.

Answer:

b

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

First find the pattern. The pattern is you multiply the number before by -3.

Just start with x as the first number.

x, -3x, 9x, -27x, 81x, -243x, 729x, -2187x, 6561x, -19683x

Add them all up: -14762

Now multiply by -3:

44286

The required sum of the first 10 terms in the series is given as 44286. Option C is correct.

Given that,
The sum of the first 10 terms in the series: -3, 9, -27, 81... is to be determined.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

here,
For Geometric progression,
a = -3
r = 9/-3 = -3

The sum of the 10 terms of GP is given as,
S = a[rⁿ - 1] / [r - 1]
Substitute the value in the above equation,
S = -3[{-3}¹⁰ - 1]/[-3-1]
S = 3/4 [3¹⁰ - 1]
S = 44286

Thus, the required sum of the first 10 terms in the series is given as 44286. Option C is correct.

Learn more about geometric progression here: https://brainly.com/question/4853032

#SPJ2

Answer:

Hi, please provide a photo or options to pick from. I will answer then.

Step-by-step explanation:

Answer:

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

Required

2A - 4B

To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4

So, if

[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]

If

[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

then

[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

So; 2A - 4B becomes

[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Hence, 2A - 4B is equivalent to

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Answer:

116.18 m²

Step-by-step explanation:

r = 5 m

R = 5m + 2m = 7m

Ax = π·R²/4 - π·r²/4

= 49π/4 - 25π/4

= 24π/4

= 6π m²

A(shape) = π·R² - 2·Ax

= 49π - 2·6π

= 37π

= 37×3.14

= 116.18 m²

Answer:

-9

y= x + 3

2

2

Step-by-step explanation:

its simple just follow my steps

Answer:

Step-by-step explanation:

[tex]g^{-1} (-3)=7\\[/tex]

let h(x)=y

y=2x-3

flip x and y

x=2y-3

2y=x+3

[tex]y=\frac{1}{2}(x+3)\\or~h^{-1}(x)=\frac{1}{2}(x+3)\\(h^{-1} oh)(x)=h^{-1}(h(x))=h^{-1}(2x-3)=\frac{1}{2}(2x-3+3)=\frac{1}{2}(2x)=x\\(h^{-1}oh)(1)=1[/tex]

Answer:

6 and 2

Step-by-step explanation:

6+6=12

2+2=4

12+4=16

Answer:

0.58 is where the blue dot on the number line is

Answer:

The blue dot is at -0.58

Answer:

Step-1: the x-intercept and the y-intercept

2x - 4y = 6

For y = 0, we get the x-intercept.

2x - 4(0) = 6

2x = 6, and then divide by two on both sides.

Hence, the x-intercept is

For x = 0, we get the y-intercept.

2(0) - 4y = 6

-4y = 6, and then divide by -4 on both sides.

Hence, the y-intercept is y = -3/2 = ( 0, -3/2)

The graph of the inequality 2x - 4y > 6 is the same as y < 0.5x - 1.5

The inequality is given as:

2x - 4y > 6

Divide through by 2

x - 2y > 3

Subtract x from both sides

- 2y > -x + 3

Divide both sides by -2

y < 0.5x - 1.5

See attachment for the graph of the inequality 2x - 4y > 6

Read more about inequalities at:

https://brainly.com/question/11234618

Answer:

420 miles

Step-by-step explanation:

4*105=420 miles

for 1 inch is 105

for 4 inches=105*4=420

Answer:

4872 cm²

Step-by-step explanation:

12*(+9)*12*2+ 13*20+15*20+20*(5+9)= 4872 cm²

Answer:

5 faces

Step-by-step explanation:

Faces:

=> 1 rectangular face+4 triangular face = 5 faces

Answer:

a pyramid has has 5 Faces.

Step-by-step explanation:

The 4 Side Faces are Triangles. The Base is a Square. It has 5 Vertices

a net with a rectanguler base and 4 triangles will form a rectanguler pyramid