All categories

3 years ago

Malacolm buys a caravan for £12000. it depreciates by 31% per year. how much is it in 7 years?

Mathematics

2 answers:

KatRina [158]3 years ago

4 0

12000x0.69 to the power of 7
Hope this helps

nikklg [1K]3 years ago

3 0

This is exponential decay of the form:

F=Ir^t, F=final amount, I=initial amount, r=rate, t=time, in this case:

F=12000(1-31/100)^t

F=12000(0.69)^t so after 7 years...

F=12000(0.69)^7

F=£893.56

You might be interested in

Graph of a dashed line with the points (0, 1) and (1, –2) plotted. The region containing the origin is not shaded.

Nitella [24]

If the origin is not shaded the answer is C

5 0

4 years ago

465,321;456,321;456,231. Order from least to <br> greatest

Svetradugi [14.3K]

456,231. 456,321. 465,321

7 0

3 years ago

israel started to solve a radical equation in this way: square root of x plus 6 − 4 = x square root of x plus 6 − 4 4 = x 4 squa

agasfer [191]

Lets solve our radical equation $\sqrt{x+6}-4=x$ step by step.

Step 1 add 4 to both sides of the equation:

$\sqrt{x+6} -4+4=x +4$

$\sqrt{x} +6=x+4$

Step 2 square both sides of the equation:

$\sqrt{x+6} =x+4$

$\sqrt{x+6}^2 =(x+4)^2$

$x+6=(x+4)^2$

Step 3 expand the binomial in the right hand side:

$x+6=x^2+8x+16$

Step 4 simplify the expression:

$0=x^2+8x-x+16-6$

$x^2+7x+10=0$

Step 5 factor the expression:

$(x+2)(x+5)=0$

Step 6 solve for each factor:

$x+2=0$ or $x+5=0$

$x=-2$ or $x=-5$

Now we are going to check both solutions in the original equation to prove if they are valid:

For $x=-2$

$\sqrt{x+6}-4=x$

$\sqrt{-2+6}-4=-2$

$\sqrt{4}-4=-2$

$2-4=-2$

$-2=-2$

The solution $x=2$ is a valid solution of the rational equation $\sqrt{x+6}-4=x$ .

For $x=-5$

$\sqrt{x+6}-4=x$

$\sqrt{-5+6}-4=-5$

$\sqrt{1}-4=-5$

$1-4=-5$

$-3\neq -5$

Since -3 is not equal to -5, the solution $x=-5$ is not a valid solution of the rational equation $\sqrt{x+6}-4=x$ ; therefore, $x=-5$ is an extraneous solution of the equation.

We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.

An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.

8 0

3 years ago

I NEED HELP PLEASE! :)<br> thanks!

Galina-37 [17]

Since BA is half of YX, the scale factor is 2.

Find the values of the other line segments.

BA = 11

BC = 44/2 = 22

AC = 32 / 2 = 16

Find the perimeter.

p = 11 + 22 + 16

p = 33 + 16

p = 49

Therefore, the answer is 49.

Best of Luck!

4 0

4 years ago

Which of the following represents the reflexive property of length? Question 6 options: A) m∠A = m∠A B) If AB = CD, then CD = AB

poizon [28]

Answer:

D) AB = AB

Step-by-step explanation:

The reflexive property states that a value is equal to itself: x = x.

The reflexive property of length states that a length is equal to itself:

AB = AB

A) and C) are wrong. They represent the reflexive property of angles.

B) is wrong. It represents the symmetric property of length.

8 0

4 years ago