An exponential function can either represent a growth or decay.
- The price of fuel A is increasing.
- Fuel B recorded a greater percentage change in price
<u>Part A</u>
For fuel A, the exponential function is given as:
An exponential function is represented as:
Where b represents the rate.
By comparison
Since b (i.e. 1.04) is greater than 1, then the price of fuel A is increasing.
<u>Part B</u>
The table represents an exponential function.
The rate of fuel B is calculated by dividing the current price by the immediate previous price.
So, we have:
By comparison, 1.06 is greater than 1.04 (the rate of fuel A).
Hence, fuel B recorded a greater percentage change in price
Read more about exponential functions at:
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The equation for the area of a circle is A = PI x r^2
R = radius, which is half the diameter = 23/2 = 11.5
Area = 3.14 x 11.5^2
Area = 3.14 x 132.25
Area = 415.265 square cm.
Answer:
Gradient = Change in y / Change in x
Gradient = (-7-3) / (0-4)
Gradient = -10/-4
Gradient = 2.5
So the answer is 10/4, which is 2.5
The missing angle of the given triangle is 59°.
What is vertically opposite angles?
Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.
Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,
⇒ 49°+31°+x = 180°
⇒ 80° + x= 180°
⇒x= 180°-80°=100°
Then unknown angle in triangle 1 ia 100°.
Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,
In triangle 2 angle is 100° and 21°. Then missing angle is,
⇒ 100°+21°+missing angle =180°
⇒Missing angle = 180°-100°-21°
⇒Missing angle = 59°
Therefore the answer is 59°.
To learn more about Vertical angle ,
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Answer:
Step-by-step explanation:
<u>Sum of n terms formula:</u>
<u>Solving for n</u>
- 3480 = 1/2n(9 + 165)
- 3480 = 87n
- n = 3480/87
- n = 40
