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The required value of the boat at the end of 2015 is $38,525.76.

Given that,
The value of a boat depreciates by 16% each year. at the end of 2012, the value of the boat is £65000 3 years work out the value of the boat at the end of 2015 is to be determined.

The function which is in format f(x) = aˣ , where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Let the total cost after x years be y,
According to the question,
As the price is depreciating at a rate of 16% each year the relation formed is exponential relation,
y = 65000(1 - 0.16)ˣ
Substitute x = 3 for the year 2015
y = 65000(0.86)³
y = $38,525.76

Thus, the required value of the boat at the end of 2015 is $38,525.76.

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Answer:

60%

Step-by-step explanation:

he gave away 2/5 which is 40%. 100%-40% is 60%

Answer:

Step-by-step explanation:

Left over chocolate = 3/5

Percentage = [tex]\frac{3}{5}*100=3*20 =[/tex] 60%

Answer:

E = number of Ella's stories

A = number of Anna's stories

E = A + 8

if A = 10, then

E = 10 + 8

E = 18

The answer is x = -5/6

And in decimal form it would be, -0.8333333

Answer:

21 savage

Step-by-step explanation:

Answer:

5.75

Step-by-step explanation:

Because 23 divided by 4=5.75

Duh

Each friend moved 4.6 pounds of dirt.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Jasmine and her 4 friends moved a total of 23 pounds of dirt, so to find out how much dirt each friend moved, you can divide the total amount of dirt by the number of friends.

To do this, you can use the following formula:

Amount of dirt per friend = Total amount of dirt / Number of friends

Substituting the given values, you get:

Amount of dirt per friend = 23 pounds / 5 friends

Simplifying this expression, you get:

Amount of dirt per friend = 4.6 pounds per friend

Therefore,

Each friend moved 4.6 pounds of dirt.

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Answer:

B

Step-by-step explanation:

B is correct. Only positive equation with y int at 2

Answer:

b

Step-by-step explanation:

What is the graph for y=2x+2?

There are 2 ways to do this problem. The easier method is to set x as two random numbers, and find y for both of the situations. Then, you will find that, for example,

When x = 0, y = 2 and when x = -1, y = 0. The only graph that has these two points is b, so that is the answer.

However, there is a more reliable way to do this.

First, let's go over what slope is. Slope is the "m" in y=mx+b and can be found by doing "rise over run". In other words, it represents how steep the line is/how fast it rises. If there is a negative slope, the graph moves down, like in c or d. If there is a positive slope, the line moves up, like in a or b.

We need to find a graph that has a slope of two (for every x, y rises by 2 [like if x=1, y=2, or when x=2, y=4, etc.). This only leaves option b as an answer.

Answer:

Ok, suppose that we have two fractions with the same denominator but different numerator, let's write them as:

a/b and c/b

We can write these two as:

a*(1/b) and c*(1/b)

Now if we want to add these, we get:

a*(1/b) + c*(1/b)

Now we can take the common factor (1/b), and write the sum as:

(a + c)*(1/b)

now we can rewrite this as:

(a + c)/b

then we got:

a/b + c/b = (a + c)/b

We can directly compare the numerators because we can think on the same denominator as a common factor.

Answer:

-3,-2,1

Step-by-step explanation:

its what x is when y=0

Answer:

in triangle PON

relationship between perpendicular and hypotenuse is given by sin angle

sinx°=p/h=19/49=

x°=sin-¹(19/49)=22.81=23°

yeah you are right.

Missing Part:

The initial fee for a taxi ride is $2.60.  Each mile traveled in a taxi costs an additional $2.50.

Answer:

[tex]2.60 + 2.50x > 12[/tex]

[tex]x >3.76[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2.60[/tex]

[tex]Rate = 2.50[/tex] per mile

Required

Miles traveled for more than $12

First, we represent the given parameters as an equation.

Represent miles with x and cost with y

So:

[tex]y = Initial + Rate * x[/tex]

[tex]y = 2.60 + 2.50 * x[/tex]

[tex]y = 2.60 + 2.50 x[/tex]

In Ian case, the distance traveled is more than $12.

This is represented as:

[tex]2.60 + 2.50x > y[/tex]

Substitute 12 for y

[tex]2.60 + 2.50x > 12[/tex]

Make 2.50x the subject

[tex]2.50x > 12 - 2.60[/tex]

[tex]2.50x > 9.40[/tex]

Make x the subject

[tex]x >9.40/2.50[/tex]

[tex]x >3.76[/tex]

Answer:

- 1

Step-by-step explanation:

Substitute a = - 1 into the expression, that is

(- 1)³ - 2(- 1)² + 3(- 1) + 5

= - 1 - 2(1) - 3 + 5

= - 1 - 2 - 3 + 5

= - 6 + 5

= - 1

Answer:

=(-1)³-2(-1)²+3(-1)+5

=-1-2(1)+3(-1)+5

=-1-2+3+5

=-3+8

=5

Answer:

length = 4x

width = 3x

perimeter = 56 m

also, perimeter = 2 (length + width)      [from formula]

therefore, 2(4x + 3x) = 56m

2(7x) = 56m

14x = 56m

x = 56/14 m

x = 4m

Answer:

Step-by-step explanation:

Length : width = 4 : 3

Length = 4x

Width = 3x

Perimeter of rectangle = 56 m

2*(length +width ) = 56

2*(4x + 3x) = 56

2*(7x)         = 56

           14x = 56

Divide both sides by 14

               x = 56/14

              x  = 4

Length = 4x = 4*4 = 16 m

Width = 3x = 4*3 = 12 m

Answer:

40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 [tex]\frac{1}{2}[/tex] cm

width  =  2 [tex]\frac{1}{2}[/tex] cm

height  =  2 [tex]\frac{1}{2}[/tex] cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm x 2 [tex]\frac{1}{2}[/tex] cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

Volume = [tex]\frac{13}{2}[/tex] x  [tex]\frac{5}{2}[/tex] x  [tex]\frac{5}{2}[/tex]

When you multiply everything together you should get [tex]\frac{325}{8}[/tex].

As a mixed number, that would be 40 [tex]\frac{5}{8}[/tex] [tex]cm^{3}[/tex].

Answer:

I think the answer is 105

Answer:

Parallelogram, Rhombus, Rectangle

Step-by-step explanation:

they are the quadrilaterals that have both pairs of opposite sides parallel meaning that they don't meet and are equal

Answer:

x = 23°

Step-by-step explanation:

x + 67° + 90 = 180°

x + 157° = 180°

x = 23°

Applying the exterior angle theorem, the value of x in the diagram given is: x = 23.

Given:

Based on the exterior angle theorem of a triangle, we will have the following:

x + 90 = 113 (exterior angle theorem)

x + 90 - 90 = 113 - 90

x = 23

Thus, applying the exterior angle theorem, the value of x in the diagram given is: x = 23.

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: 60

Step-by-step explanation:10 x 6 = 60 ( Also, 6x6x6x6x6x6x6x6x6x6 = 60

Answer:

the volume is 1cm

Step-by-step explanation:

multiply all three fractions by using the equation V=WLH

Answer:

56.70

Step-by-step explanation:

Answer:

[tex]p^{4} s^{5} y^{-7} z^{-1}[/tex]

Step-by-step explanation:

[tex]\frac{1}{y^{7} } = y^{-7}[/tex]

[tex]\frac{1}{z} = z^{-1}[/tex]

Answer:

-14x + 5y - 3

Step-by-step explanation:

well -4x-5(2x-y)-3y (Distributed)

       -4x -10 x + 5y - 3

Than you collect like terms, like subtract 4 and 10 (negative so basically addition)

than you get

-14x + 5y - 3

Answer:

26

Step-by-step explanation:

if YZ bisects VW then VX = XW

if VX = 26 then XW = 26 also

Answer:

6x or 6(x)

Step-by-step explanation:

6 bracket (x) is a form of saying multiplication