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omeli [17]
3 years ago
12

2.

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0

Answer:

  • Part A: The price of fuel A is decreasing by 12% per month.

  • Part B: Fuel A recorded a greater percentage change in price over the previous month.

Explanation:

<u>Part A:</u>

The function     f(x)=2.27(0.88)^x     calculates the price of fuel A each month by multiplying the price of the month before by 0.88.

Month       price, f(x)

1                 2.27 (0.88) = 1.9976 ≈ 2.00

2                2.27(0.88)² = 1.59808 ≈ 1.60

3                2.27(0.88)³ = 1.46063 ≈ 1.46

Then, the price of fuel A is decreasing.

The percentage per month is (1 - 0.88) × 100 = 12%, i.e. the price decreasing by 12% per month.

<u>Part B.</u>

<u>Table:</u>

m       price, g(m)

1          3.44

2         3.30

3          3.17

4         3.04

To find if the function decreases with a constant ration divide each pair con consecutive prices:

  • ratio = 3.30 / 3. 44 = 0.959 ≈ 0.96
  • ratio = 3.17 / 3.30 = 0.960 ≈ 0.96
  • ratio = 3.04 / 3.17 = 0.959 ≈ 0.96

Thus, the price of fuel B is decreasing by (1 - 0.96) × 100 =4%.

Hence, the fuel A recorded a greater percentage change in price over the previous month.

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lara31 [8.8K]
I think it might be easier to understand if i change decimals to fractions, so lets start ;)
15.249=15\frac{249}{1000}
15.3=15.300=15\frac{300}{1000}
15.05=15.050=15\frac{50}{1000}
15.009=15\frac{9}{1000}
15.25=15.250=15\frac{250}{1000}

denominators are the same so now you only have to compare numerators (biger numerator = greater fraction)

so:

15\frac{9}{1000}

it means that:


15.009
4 0
2 years ago
Read 2 more answers
I’m so confused on how to do it
Monica [59]

Answer:

785.4

Step-by-step explanation:

The formula to find the surface area of a cylinder is

2* pi* radius* height + 2* pi* 2radius.

2( 3.14) (5) (20)= 628

2 (3.14* 5*5)= 157

628+ 157= 785.

8 0
3 years ago
In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based on the diagram, what is the value of x
ololo11 [35]
X would be 84 degrees, since its corresponding angle would be worth 84.
Hope this helped!
4 0
3 years ago
In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as
nika2105 [10]

Answer:

The value of the car in very nice condition is $28,500.

Step-by-step explanation:

Consider the provided information.

In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as a car in very nice condition.

The mixed fraction can be written as:

2 \frac{1}{4}=\frac{9}{4}

Let x is the value of car in very nice condition.

64,125 =\frac{9}{4}x

x=\frac{64,125\times 4}{9}

x=28,500

Hence, the value of the car in very nice condition is $28,500.

7 0
2 years ago
Answer both please, the topic is linear inequalities, and please explain it to me.
Bogdan [553]
<u>Question 1 solution:</u>
You have two unknowns here:

Let the Water current speed = W

Let Rita's average speed = R

We are given <em>two </em>situations, where we can form <em>two equations</em>, and therefore solve for the <em>two unknowns, W, R</em>:

Part 1)  W→ , R←(against current, upstream) 
If Rita is paddling at 2mi/hr against the current, this means that the current is trying to slow her down. If you look at the direction of the water, it is "opposing" Rita, it is "opposite", therefore, our equation must have a negative sign for water<span>:  

</span>R–W=2  - equation 1

Part 2)  W→ , R<span>→</span>(with current)
Therefore, R+W=3  - equation 2

From equation 1, W=R-2, 
Substitute into equation 2.
R+(R–2)=3
2R=5
R=5/2mi/hr

So when W=0 (still), R=5/2mi/hr

Finding the water speed using the same rearranging and substituting process:

1...               R=2+W
2...  (2+W)+W=3
                 2W=1
                   W=1/2mi/hr
 
7 0
3 years ago
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