- Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.

Answer:

I believe the answer would be the option that says: "An elephant walks with a speed of 15 steps a minute. How long was the elephant walking if she walked without stopping for 480 steps?"

Answer:

C. An elephant walks with a speed of 15 steps a minute. How long was the elephant walking if she walked without stopping for 480 steps?

Step-by-step explanation:

C yields the equation of [tex]15x=480[/tex], because 15 stands for steps/minute, 480 for steps, so [tex]x[/tex] must stand for minutes.

For your entertainment:

A gives [tex]x = 480 \cdot 15[/tex].

B gives [tex]x=32-15[/tex].

D gives [tex]x=480+15[/tex].

Answer:

125°

Step-by-step explanation:

By exterior angle theorem:

(3x - 70)° = 60° + x°

(3x - 70)° - x°= 60°

(3x - 70 - x)° = 60°

(2x - 70)° = 60°

2x - 70 = 60

2x = 60 + 70

2x = 130

x = 130/2

x = 65

(3x - 70)° = (3*65 - 70)° = (195 - 70)° = 125°

[tex] m\angle LKM = 125\degree [/tex]

Answer:

it is 10

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

g

Answer:

It's 7.3; 74!

Step-by-step explanation:

This was a lucky guess for me on my homework and it was correct sooooo.... I don't really have an explanation...

Definition: For vector [tex]v=<a,b>[/tex], the magnitude is defined as [tex]|v|=\sqrt{a^{2} +b^{2} }[/tex], and the direction of the vector is defined as [tex]tan^{-1}(\frac{b}{a} )[/tex].

Here, [tex]v=<2,7>[/tex].

Then, magnitude is:

[tex]|v|=\sqrt{2^{2}+7^{2} } \\|v|=\sqrt{4+49 } \\|v|=\sqrt{53} \\|v|=7.3[/tex]

The direction is:

[tex]tan^{-1}(\frac{7}{2} )=74^{o}[/tex].

So, the correct option is 7.3,74°.

For more information:

https://brainly.com/question/14942332

Answer:

i dont know if its right since i havent done trig in ages but

[tex]3 \sqrt{3} [/tex]

Step-by-step explanation:

tan(30)x9?

put the opposite angle inside the () since were doing toa which is tan(sin)=opposite/adj

so if we rearrange the formula to make opposite the subjects its

opposite=tan x adj

this is probably wrong so u might want to check with someone else

Answer:

           6, 7, 8 are correct

Step-by-step explanation:

[tex]XV=\dfrac{RS+TU}2\\\\\\44=\dfrac{30+TU}2\\\\44\cdot2=30+TU\\\\88-30=TU\\\\TU=58[/tex]

Answer:

simplified

Step-by-step explanation:

Answer: 1 -- that is, if they share no common factors other than 1

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

-3/8÷(-1/2)

-3/8÷-1/2

-3/8÷2/-1

-3×2/-8

-6/-8

-(-6/8)

-(-3/4)

3/4

Answer:

3/4

Step-by-step explanation:

my teacher just told me that answer a few seconds ago

Answer:

C) 12

Step-by-step explanation:

It is 6x2

Answer:

1.366km

Step-by-step explanation:

The height of the mountain is [tex]3.34Km[/tex]

A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.

Let us consider that H represent the height of mountain.

Angle of elevation at point A and C shown in the diagram.

Apply tan function in triangle CBP.

            [tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]

Apply tan function in triangle ABP.

           [tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]

Substituting the value of equation 2 into equation 1.

      [tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]

Hence, The height of the mountain is [tex]3.34Km[/tex]

Learn more about the right angle triangle here:

https://brainly.com/question/64787

Answer:

[tex]J = 370g[/tex]

Step-by-step explanation:

Given

Represent the weight of the Jar with J and the sugar with S

Initially, we have:

[tex]J + S = 850g[/tex]

After 2/3 of sugar is removed we have:

[tex]J + S -\frac{2}{3}S= 530g[/tex]

Required

Determine the weight of the jar

[tex]J + S = 850g[/tex] --- (1)

[tex]J + S -\frac{2}{3}S= 530g[/tex] --- (2)

Simplify (2)

[tex]J + S -\frac{2S}{3}= 530g[/tex]

Take LCM

[tex]J + \frac{3S - 2S}{3}= 530g[/tex]

[tex]J + \frac{S}{3}= 530g[/tex]

Make S the subject in (1)

[tex]J + S = 850g[/tex]

[tex]S = 850g - J[/tex]

Substitute 850g - J for S in [tex]J + \frac{S}{3}= 530g[/tex]

[tex]J + \frac{850g - J}{3}= 530g[/tex]

Multiply through by 3

[tex]3 * J + 3*\frac{850g - J}{3}= 530g * 3[/tex]

[tex]3J + 850g - J= 1590g[/tex]

Collect Like Terms

[tex]3J - J= 1590g-850g[/tex]

[tex]2J= 740g[/tex]

Make J the subject

[tex]J = \frac{1}{2} * 740g[/tex]

[tex]J = 370g[/tex]

The jar weighs 370g

Answer:

370

Step-by-step explanation:

Answer:

I believe the answer would be 20.

Step-by-step explanation:

28/7 = 4

5*4 = 20

Pls mark brainliest <3

0Answer: The answer is 20

Step-by-step explanation:

Answer:10

Step-by-step explanation:

Answer:

B. (10^1/3)³ = 10 ^(1/3×3) =10

Step-by-step explanation:

I took the test on FLVS

Answer:

B

Step-by-step explanation:

Answer:

the weight of 45 bushels is 1.22

Step-by-step explanation:

The computation is shown below:

As the soybeans has the conversion factor of 36.744

So the weight of 45 bushels be

= 45 ÷ 36.744

= 1.22

hence, the weight of 45 bushels is 1.22

Answer:

x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+3−2x=24

Step 1: Simplify both sides of the equation.

5x+3−2x=24

5x+3+−2x=24

(5x+−2x)+(3)=24(Combine Like Terms)

3x+3=24

3x+3=24

Step 2: Subtract 3 from both sides.

3x+3−3=24−3

3x=21

Step 3: Divide both sides by 3.

Answer: x=7

Step-by-step explanation:

Given

5x + 3 - 2x = 24

Subtract both sides by 3

5x + 3 - 3 - 2x = 24 - 3

5x - 2x = 21

Simplify

3x = 21

Divide both sides by 3

3x / 3 = 21 / 3

x=7

Hope this helps!!

Please let me know if you have any questions

Answer:

35.)   80

36.)   11

37.)   15

38.)   21

39.)   -9

40.)   -1

Step-by-step explanation:

In simplified terms the question is asking

35.)   g(f(-1)) =

         g(-9) = 80

36.)   f(g(2)) =

         f(3) = 11

37.)   g(f(0)) =

        g(-4) = 15

38.)   f(g(root6)) =

         f(5) = 21

39.)   f(g(0)) =

         f(-1) = -9

40.)   g(f(4/5)) =

         g(0) = -1

Answer:

x=$75

Step-by-step explanation:

Answer:

5 + 20x

Step-by-step explanation:

Hey! Hope this helps!

Have a nice day♥

Answer:

3.14159265359

Step-by-step explanation:

Hope this helps :)

Answer:

3.14

Step-by-step explanation:

Technically, pi is a an irrational number, meaning that its decimal form neither ends or repeats. But we always shorten it to 3.14.

Answer:

x = [tex]\sqrt{10}[/tex]

Step-by-step explanation:

The 2 right triangles and the outer right triangle are similar, then ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )

x² = 10 ( take the square root of both sides )

x = [tex]\sqrt{10}[/tex]

Answer:

√10

Step-by-step explanation:

taking the smallest triangle;

y as the hypotenuse, x as the adjacent side, 2 as the opposite side

then: y²=x²+2²

x²=y²-2²= y²-4

taking the other triangle;

z as the hypotenuse, x as the adjacent side, 5 as the opposite side

then: z²=x²+5²

x²=z²-5² = z²-25

take both equations,

x²= y²-4

x²= z²-25

y²-4= z²-25

y²= z²-25+4 = z²-21

taking the biggest triangle (whole triangle);

(5+2)= 7 as the hypotenuse, z as the adjacent side, y as the opposite side

then; 7²=z²+y²

z²+y²=7² =49

but y²= z²-21;

z²+y² =49

z²+ z²-21 =49

2z²-21=49

2z²=49+21= 70

z²= 70/2 = 35

take x²= z²-25

x²= 35-25 = 10

[tex]x = \sqrt{10} [/tex]

Answer:

10 m

Step-by-step explanation:

We are given that the relationship between intensity of sound and distance from the source is given by

Intensity (I)=[tex]\frac{k}{d^2}[/tex]

Where I=Intensity

d=Distance of sound from the source

If distance d=1m

Intensity, I=0.1[tex]w/m^2[/tex]

We have to find how close she can to the stage if vanessa does not want the sound intensity to be more than 0.001(w)/(m^(2)).

Using the formula

[tex]0.1=\frac{k}{1}[/tex]

[tex]k=0.1[/tex]

[tex]\frac{0.1}{d^2}\leq 0.001[/tex]

[tex]\frac{0.1}{0.001d^2}\leq 1[/tex]

[tex]\frac{0.1}{0.001}\leq d^2[/tex]

[tex]100\leq d^2[/tex]

[tex]10\leq d[/tex]

[tex]d=10 m[/tex]

Hence, she can sit 10 m away from the stage.

Answer:

58. cm^2.

Step-by-step explanation:

Area of parallelogram = 2 * area of triangle

= 2 * 29

=58.

Answer:

the answer for this problem would be 24 dollars.