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vampirchik [111]
2 years ago
11

After the price of petroleum oil went up by 10%, a consumer reduced his oil consumption by the same percent. By what percent wou

ld his petroleum bill be changed? THE ANSWER IS NOT 10%.
Mathematics
1 answer:
IgorLugansk [536]2 years ago
7 0
Let's assign some random values to it, and say 1 unit of petroleum costs 100 bitcoins, because we all know bitcoins are the best currency :P

If the price goes up by 10%, it is now 100*1.1 = 110bitcoins for 1 unit.

However he's only getting 0.9 units now, so multiplying 110 by 0.9 gives us 99 bitcoins. His petroleum bill used to be 100 (which is why I picked 100 as it's easier), and now it is 99. Therefore his petroleum bill has reduced by 1%
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1. Which formula defines the sequence f(1)=2, f(2)= 6, f(3)= 10, f(4)= 14, f(5)= 18?
Natasha_Volkova [10]

Answer:

f(n) =4 + f(n-1) \\for\ n>2

Step-by-step explanation:

Given

f(1)=2\\ f(2)= 6\\ f(3)= 10\\ f(4)= 14\\ f(5)= 18

Required

Determine the formula

First, we need to solve common difference (d)

d = f(n) - f(n-1)

Take n as 2

d = f(2) - f(2-1)

d = 6 - 2

d = 4

Represent each function as a sum of the previous

f(1) = 2

f(2) = 2 + 4 = f(1) + 4

f(3) = 6 + 4 = f(2) + 4

f(4) = 10 + 4 = f(3) + 4

f(5) = 14 + 4 = f(4) + 4

Represent the function as f(n)

f(n) =f(n-1) + 4

Reorder

f(n) =4 + f(n-1) \\for\ n>2

7 0
2 years ago
Solve for<br> a. 7a-2b = 5a b
Nookie1986 [14]

For this case we have the following expression:

7a-2b = 5ab

From here, we must clear the value of a.

We then have the following steps:

Place the terms that depend on a on the same side of the equation:

7a - 5ab = 2b

Do common factor "a":

a (7 - 5b) = 2b

Clear the value of "a" by dividing the factor within the parenthesis:

a =\frac{2b}{7-5b}

Answer:

The clear expression for "a" is given by:

a =\frac{2b}{7-5b}

8 0
1 year ago
Read 2 more answers
3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from p
Marrrta [24]

Answer:

The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer

Step-by-step explanation:

* <em>Lets explain the meaning of the vertical angles</em>

- Vertical angles are the angles opposite to each other when two lines

  are intersected

- The vertical angle are equal in measures

- <em>Look to attached figure which represents the lines </em>

∵ Line TW intersects line SV at R

∴ ∠ WRV and ∠ SRT are vertical angle

∴ <u><em>∠ WRS and ∠ VRT</em></u> are vertical angle

∵ RU is between the rays of angle VRW

∴ RU intersects the lines TW and SV at R

∴ No vertical angles between RU and the other two lines because

  it intersects them its endpoint R

* <em>Now lets look to the answer to chose the right one</em>

- ∠ WRU and ∠ SRT are not vertical angles

- <em><u>∠ WRS and ∠ VRT are vertical angles </u></em>

- ∠ VRU and ∠ TRS are not vertical angles

- ∠ VRT and ∠ SRT are not vertical angles

4 0
1 year ago
Read 2 more answers
The parabola y=x^2y=x 2 y, equals, x, start superscript, 2, end superscript is reflected across the xxx-axis and then scaled ver
kramer

ANSWER

The equation of the new parabola is

y =  - 5 {x}^{2}

EXPLANATION

The given parabola has equation:

y =  {x}^{2}

If this parabola is reflected in the x-axis, its equation becomes :

y =  -  {x}^{2}

When this parabola is scaled vertically by a factor of 5, the equation becomes,

y =  - 5 {x}^{2}

5 0
2 years ago
An iPhone costs £699 in London, €799 in Paris and $1,099 in New York. Using £1 = €1.13 and £1 = $1.37, state the lowest price of
Alex787 [66]

Answer:

£699 in London

£902.87 in Paris

£1505.63 in New York

The lowest price of the iPhone is £699 in London.

3 0
1 year ago
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