Katy invests £200 000 in a savings account for 4 years. The account pays compound interest
at a rate of 1.5 % per annum.
Calculate the total amount of interest Katy will get at the end of 4 years

its c because i already did that and got it right

Answer:

36

Step-by-step explanation:

36/4 = 9 wish this helps!

Answer:

[tex]a_4 = -108[/tex]

Step-by-step explanation:

Given

[tex]a_n = -3a_{n-1}[/tex]

[tex]a_1 = 4[/tex]

Required

Find [tex]a_4[/tex]

[tex]a_4 = -3a_{4-1}[/tex]

[tex]a_4 = -3a_3[/tex]

We calculate for a3

[tex]a_3 = -3a_{3-1}[/tex]

[tex]a_3 = -3a_2[/tex]

Calculate for a2

[tex]a_2 = -3a_{2-1[/tex]

[tex]a_2 = -3a_1[/tex]

Substitute 4 for a1

[tex]a_2 = -3*4[/tex]

[tex]a_2 = -12[/tex]

Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]

[tex]a_3 = -3 * -12[/tex]

[tex]a_3 = 36[/tex]

Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]

[tex]a_4 = -3*36[/tex]

[tex]a_4 = -108[/tex]

Answer:

y = 5x + 7

Step-by-step explanation:

1. Substitue the numbers into their spots.

7 = 5(2)+b

2. Find b by simplifying

7 = 10 + b

-3 = b

3. Substitute it back in since parallel lines have the same slope.

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that [tex]p = 0.25[/tex]

Class of 18 students

This means that [tex]n = 18[/tex]

What would be the probability that at least 6 students drive themselves to school?

This is

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]

[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]

[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]

[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]

Closest option is B, just a small rounding difference.

Answer:

.........................................................................................................................................................................

Step-by-step explanation:

Answer:

Your answer is 2.5

Hope that this is helpful. Vote and like it

Answer:

Its b,c,d

Step-by-step explanation:

Answer: x intercept = 6

This is the location (6,0)

===============================================================

Explanation:

I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12

To find the x intercept, plug in y = 0 and solve for x

2x + 3y = 12

2x + 3(0) = 12

2x = 12

x = 12/2

x = 6

The boundary line 2x+3y = 12 crosses the x axis at x = 6.

We can say the x intercept is x = 6. This is the location (6,0).

Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.

Answer:

A) (0,2)

Step-by-step explanation:

The Y-Intercept is where the line on the coordinate plane meets the y axis which in this case is 2

Answer:

A. (0, 2)

Step-by-step explanation:

So first things first, you will want to either put the line on a graph by hand or, in a graphing calculator, I recommend DESMOS

the table is a set of coordinates so

(-4, -18) (-2.5, -10.5) (-.4, 0) (0, 2) (2, 12)

Then you'll put these coordinates into a graph and the point you see touching the y-line is your answer, (0, 2)

hope this helps!!

Answer: it's 1200

Step-by-step explanation: please give me brainliest

400x3=1200

60x20=1200

Given:

Base area of cone =20 m²

Volume of the cone = 160 m³

To find:

The height of the cone.

Solution:

We know that, the volume of a cone is

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the height of the cone.

Putting V=160 and B=20, we get

[tex]160=\dfrac{1}{3}(20)h[/tex]

[tex]480=20h[/tex]

[tex]\dfrac{480}{20}=h[/tex]

[tex]24=h[/tex]

Therefore, the height of the cone is 24 m.

i think part of this question is missing between “at the city zoo” and “of the zoo.”

but i think the answer could be a.

because if there are 4 different monkeys, and they all got 1/4 of space, it would be equal.

Answer:

a.) P(duel end in round 1 ) = 0.892

b.) P(duel ends in the 3rd round) = 0.010

c.) P(duel ends in a draw) = 0.418

Step-by-step explanation:

Let

P(A) - Probability that Student A will hit the green.

P(¬A) - Probability that Student A will miss the green.

P(B) - Probability that Student B will hit the green.

P(¬B) - Probability that Student B will miss the green.

Given,

P(A) = 0.55 , P(B) = 0.76

As we know that,

P(A) + P(¬A) = 1

⇒P(¬A) = 1 - P(A)

            = 1 - 0.55

            = 0.45

⇒P(¬A) = 0.45

And

P(B) + P(¬B) = 1

⇒P(¬B) = 1 - P(B)

            = 1 - 0.76

            = 0.24

⇒P(¬B) = 0.24

So, we get

P(A) = 0.55 , P(B) = 0.76

P(¬A) = 0.45, P(¬B) = 0.24

a.)

P(duel end in round 1 ) = P( both hit on green or only one hit on green )

                                     = P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ]

                                     = 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ]

                                     = 0.418 + [ 0.132 + 0.342 ]

                                     = 0.418 + [ 0.474 ]

                                     = 0.892

⇒P(duel end in round 1 ) = 0.892

b.)

P(duel ends in the 3rd round) = P( duel miss green in 1st round × duel miss green in 2nd round × both hit on green or only one hit on green in 3rd round )

                                                = [ P(¬A).P(¬B) ] × [ P(¬A).P(¬B) ] × { P(A).P(B) + [     P(A).P(¬B) + P(¬A).P(B) ] }

                                               = [ 0.45(0.24) ] ×  [ 0.45(0.24) ] × { 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ] }

                                               = [ 0.108 ] ×  [0.108] × { 0.418 + [ 0.132 + 0.342 ] }

                                               = 0.011664 × 0.892

                                               = 0.010404 ≈ 0.010

⇒P(duel ends in the 3rd round) = 0.010

c.)

P(duel ends in a draw) = P(both students' shots land on the green)

                                     = P(A).P(B)

                                     = 0.55(0.76)

                                     = 0.418

⇒P(duel ends in a draw) = 0.418

Answer:

9/25 or .36

Step-by-step explanation:

Answer:

PS = 116

Step-by-step explanation:

Given:

PR = 6x + 16

RS = 12x - 26

Required:

Find PS

Solution:

Since R is the midpoint of PS, therefore,

PR = RS

6x + 16 = 12x - 26

Collect like terms

6x - 12x = -16 - 26

-6x = -42

Divide both sides by -6

x = -42/-6

x = 7

✔️PS = PR + RS (segment addition postulate)

PS = 6x + 16 + 12x - 26

Plug in the value of x

PS = 6(7) + 16 + 12(7) - 26

PS = 42 + 16 + 84 - 26

PS = 116

Answer:

Bbc

Step-by-step explanation:

Answer:

can you take a better pick

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are your workings

4.87 x 7.23  simplify

Step 2

(4.87)(7.23)  Add brackets(Optional)

Then you multiply the two exponents to get 35.2101

Your answer would be 35.2101

Complete question :

Which inequality is true if p = 2.8?

3p < 10.2

13.6 ≤ 3.9p

5p > 17.1

8.5 ≥ 2.5p

Answer:

3p < 10.2

8.5 ≥ 2.5p

Step-by-step explanation:

To obtain the true expression, put p = 2.8 in all the options and choose the true inequality expression :

3(2.8) < 10.2

8.4 < 10.2 ( true)

13.6 ≤ 3.9p

13.6 ≤ 3.9(2.8)

13.6 ≤ 10.92 ( False)

5p > 17.1

5(2.8) > 17.1

14 > 17.1 ( False)

8.5 ≥ 2.5p

8.5 ≥ 2.5(2.8)

8.5 ≥ 7 (True)

Answer:

(-6, -3) (-3,-3) (-3,-6)

Step-by-step explanation:

Multiple all of the vertices by 1.5.

(-6, -3) (-3,-3) (-3,-6)

Hope I helped!

[enlargment will still be a triangle]

Answer:

f= -14

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

Answer:

square root of 81.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A is impossible. You cannot have both a right triangle and in the same triangle have an angle in it that is over 90 (that's the meaning of scalene)

B is sort of true, but only sort of. All scalene triangles have an angle over 90 and 2 acute angles.

C this is the answer to the question. It has 1 right angle and 2 equal sides. The two equal sides make it isosceles and the right angle is given.

D an acute triangle has three angles under 90 that add to 180. Not the right description.

A triangle with one right angle and two congruent sides is described as a "right isosceles triangle." (Option C)

Let's break down the terms:

1. Right Angle: A right angle is an angle that measures exactly 90 degrees.

2. Isosceles Triangle: An isosceles triangle is a triangle with at least two sides of equal length (congruent sides).

3. Right Isosceles Triangle: A right isosceles triangle is a special type of isosceles triangle where one of the angles is a right angle (90 degrees) and the other two angles are equal, each measuring 45 degrees.

In a right isosceles triangle, the two congruent sides are the legs of the right triangle, and the third side (opposite the right angle) is called the hypotenuse.

So, among the given options, the best description for a triangle with one right angle and two congruent sides is a "right isosceles triangle" (Option C).

To know more about right isosceles triangle, refer here:

https://brainly.com/question/30966657

#SPJ6

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

219/50 or 4.38

Step-by-step explanation:

divide

Answer: 53.0

Step-by-step explanation:

Then the diameter equals 53.0122774

The diameter of the sphere is 53.01 inch

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the diameter of the sphere be = d

The radius of the sphere be = r

The volume of the sphere is V = 78006 inch³

The Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation ,we get

( 4/3 ) πr³ = 78006 inch³

Now , Multiply by ( 3 / 4 ) on both sides , we get

πr³ = ( 78006 x 3 ) / 4

     = 58504.5 inch³

Divide by π on both sides , we get

r³ = 58504.5 / π

   = 18622.56 inch³

Taking cube roots on both sides , we get

r = 26.506 inch

So , the radius of the sphere is r = 26.506 inch

Now , the diameter of the sphere is d = 2 x r

                                                               = 2 x 26.506

                                                               = 53.01 inch

Hence , The diameter of the sphere is 53.01 inch

To learn more about sphere click :

https://brainly.com/question/27933834

#SPJ2

Answer:

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]

Step-by-step explanation:

I notice you have a dx at the end of the equation, this leads me to believe this is an integral. With no bounds of integration, I will solve for the indefinite integral. I will also interpret your equation as follows:

[tex]\int \:2+5x+\frac{1}{2}x^3dx[/tex]

Sum rule tells us:

[tex]\int \:2dx+\int \:5xdx+\int \frac{1}{2}x^3dx[/tex]

From this we get:

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}[/tex]

Don't forget to add the constant!

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]