Anne has $5000 in her savings account and decides to leave there for three years. After one year the account increases by 10%, the following year it decreases by 5% and in the third year it increases by 15%. How much is in the account after three years?

Answer:

The equation is: y = 15·x

Step-by-step explanation:

It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.

Consider the table below.

                    Number of Hours:       1          3          6          10

Number of Bicycles Produced:      15        45        90       150

Compute the ratio of number of bicycles produced and number of hours for every data above as follows:

[tex]\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1[/tex]

The ratio of the number of bicycles produced and number of hours is same for every data value.

Thus, the relationship between the number of bicycles produced and number of hours is proportional.

The equation for the relationship is:

y = 15·x

y = number of bicycles produced

x = number of hours

Answer:

10

Step-by-step explanation:

4 x 1 / 2

Reduce the numbers with the greatest common factor 2

5 x 2 = 10

Answer:

C = L + P

C = £38

Step-by-step explanation:

Given that :

Cost (C) is given by :

Sum of fixed line rental (L) ; price (P) of calls made.

Hence,

Cost formula;

C = L + P

Cost if the line rental is £10 and the price of calls made is £28.

C = L + P

If L = £10 ; P = £28

C = £10 + £28

C = £38

Answer:

There are infinite numbers between -2 and -3

Step-by-step explanation:

First off these numbers:

-2.1 or this number as any equivilant fraction.

-2.2 or this number as any equivilant fraction

-2.3 or this number as any equivilant fraction

-2.4 or this number as any equivilant fraction

-2.5 or this number as any equivilant fraction

-2.6 or this number as any equivilant fraction

-2.7 or this number as any equivilant fraction

-2.8 or this number as any equivilant fraction

-2.9 or this number as any equivilant fraction

any numbers that are reepeating like : -2.3333333333.....

and any numbers that end and don't go on forever without a single repeating number. -2.485485485485485485485485..... is not rationally repeating. -2.444444444444 is rational.

Answer:

b>-7

Step-by-step explanation:

put an empty circle above -7

Then draw a line from the start of the circle to the right

Hope I helped! :)

Answer:

[tex]\frac{V}{\pi r^{2} }[/tex] = h

Step-by-step explanation:

Lets try and get everything we can away from h.

V = [tex]\pi[/tex][tex]r^{2} h[/tex]

Divide [tex]\pi[/tex][tex]r^{2}[/tex] from both sides of the equation.

Now we end up with:

[tex]\frac{V}{\pi r^{2} }[/tex] = h

Answer:

Step-by-step explanation:        divide by 5

         5   |875

           5 |175

           5 |35

          5    |7

5/5=0

Answer:

1/8 of a cup.

Step-by-step explanation:

That would be 1/6 of 3/4

= 1/6 * 3/4

= 1*3 / (6*4)

= 3/24

= 1/8.

Answer:

(2x - 7)

Step-by-step explanation:

Answer:

x<16

Step-by-step explanation:

Answer:

m = -1/3

Step-by-step explanation:

m= rise over run

2-4                1

____    =   -  __

9-3                3

Answer:

-1/3  is the slope

Step-by-step explanation:

I attached an image below to show you how i did this. I hope this helps :)

The approximate distance between points (-7,2) and (11,-5) is

=√[11-(-7)]²+[(-5-2)]²

=√(18)²+(-7)²

=√324+49

=√373

Answer:

$420

Step-by-step explanation:

The wholesale price is $300 and the markup is 40% of that, or

0.40($300) = $120

and so the selling price is $300 + $120 = $420

An easier way to calculate this is to multiply $300 by (1.00 + 0.40), or (1.40), which again comes out to $420.

Answer:

$420!

Step-by-step explanation:

Answer:

so the exterior angle 152 is made from the interior angle being subtracted from 180. we can also subtract 152 from 180 to find the interior angle. 180-152=28  the inside of a triangle is a total of 180 degrees so 110+28=138 180-138=42 degrees. 42 degrees is the final interior angle and the missing and the missing exterior angle is congruent to the 42 degree angle. So the missing exterior angle is 42 degrees

Step-by-step explanation:

The picture attached has work and the answer! :)

Answer:

The answer is A 40 cars

Step-by-step explanation:

We can see by dividing 30 by 45 you get 0.66667 repeating. If you then multiply 0.66667 by 60 (There are 60 minutes in an hour) You get 40.02. This rounds down to 40. Please mark me brainliest, and have a tremendous day!

Answer:

-16n-41

Step-by-step explanation:

Answer: 10 feet by 4feet

Step-by-step explanation:

From the question, we are informed that Naoko is building a small art shed in the backyard and that she created a blueprint of the floor plan with a scale of 1⁄4 in. to 1 ft. This means that 1 inch will be to 4 feet.

Since the art space has dimensions of 2 1/2 in. by 1 in. This will be:

= (2 1/2 × 4) by (1 × 4)

= 10 feet by 4 feet

The dimensions of her art shed in feet are 10 feet by 4 feet.

Answer:

Step-by-step explanation:

We are expected to solve for the diagonal of a rectangular shape.

given that the length, l=72in

width, w=64in

we can apply the Pythagoras theorem to solve for the diagonal since it corresponds to the hypotenuse of the rectangle

note: we are to leave 2-inches on all sides for the edging of the TV

l=72-2= 70 in

w=64-2=62

diag=√l^2+w^2

diag=√70^2+62^2

diag=√4900+3844

diag=√8744

diag=93.50 in

to the nearest tenth, it is 94in

Answer:

Step-by-step explanation:

Answer:

Length   Length   Length   Length

1.41  1.41  1.41  1.41

2.24  2.24  2.24  2.24

3  3  3  3

Step-by-step explanation:

.

Answer:

Slope = - 2

Step-by-step explanation:

Given equation is,

y= - 2x

If x=1, y= -2.

If x=2, y= - 4

Take such few points and plot the graph (1, - 2), (2, - 4)........

Draw a straight line through the points.

For slope, compare the equation with slope intercept form, y=mx + c

Here, c=0 and m=-2

Hope this helps!!

Answer:

The branch of medicine dealing with the ear, nose, and throat. Also known as otolaryngology. ETYMOLOGY: ... Either that, or it's from Greek oto- (ear) + rhino- (nose) + laryngo- (larynx) + -logy (study).

Step-by-step explanation:

Answer:

I think to find the answer you would have to subtract the KL area from 75 and you might need to set up a proportion.

Have fun!

Answer:

7/2

Step-by-step explanation:

2x=12-5....collectible like terms

2x=7

x=7/2...dividing both side by 2

Answer:

soln

we know that,

2x + 5 = 12

or, 2x = 12 - 5

or, 2x = 7

or, x = 7/2

x=7/2

Answer:69 mins

Step-by-step explanation:

Well 1 hour 9 mins and 14 sec

Answer:

3

Step-by-step explanation:

1926/9=214

1923+3=1926

Answer:

Step-by-step explanation:

perimeter=22

AB+BC+AC=22

8+5+AC=22

AC=22-13

AC=9

Apply the Pythagorean theorem:

AB²+AB²=AC²

8²+5²=64+25=89

AC²=9²=81

no it is not a right triangle because it failed the Pythagorean theorem

Answer:

24 pieces

Step-by-step explanation:

Sydney bakes two pies, stephanie brings two more.

Together we have a total of four pies

each pie is cut into 6 pieces, meaning you should multiply the amount of times they cut it by the number of pies.

6 x 4 = 24

Answer:

1. [tex]v<\frac{3y-7}{2}[/tex]

2. [tex]m\leq \frac{6n}{7}[/tex]

Step-by-step explanation:

1. [tex]2v+8-8<3y+1-8[/tex]

[tex]2v<3y-7[/tex]

[tex]\frac{2v}{2} <\frac{3y}{2} -\frac{7}{2}[/tex]

[tex]v<\frac{3y-7}{2}[/tex]

2. [tex]-7m-16+16\geq -2(7+3n)-2+16\\[/tex]

[tex]-7m\geq -6n\\[/tex]

[tex]7m\geq 6n\\[/tex]

[tex]\frac{7m}{7} \leq \frac{6n}{7}[/tex]

[tex]m\leq \frac{6n}{7}[/tex]

Answer:

here the answer! There is the  proof it's right. :)

Step-by-step explanation:

Answer:

1/3 = 2/6

Step-by-step explanation

Edu correct