The required function is:
Option 3:
Step-by-step explanation:
The initial value and rate is used to write exponential function
Here
Given
Initial value = 37
Rate = r = 5%
When the rate is 5%, the next year the quantity will be 1+0.05 = 1.05 time of the current quantity.
So,
The function can be written as:
For initial value, put t=0
Hence,
The required function is:
Option 3:
Keywords: Functions, exponential functions
Learn more about functions at:
#LearnwithBrainly
Answer:
7 and 13
Step-by-step explanation:
let the 2 numbers be x and y , x > y , then
x = y + 6 → (1)
(x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )
x + y = 4y - 8 ( subtract 4y from both sides )
x - 3y = - 8 → (2)
Substitute x = y + 6 into (2)
y + 6 - 3y = - 8
- 2y + 6 = - 8 ( subtract 6 from both sides )
- 2y = - 14 ( divide both sides by - 2 )
y = 7
Substitute y = 7 into (1)
x = 7 + 6 = 13
The 2 numbers are 7 and 13
we are given
BE=x
ED=x+10
AE=x+1
EC=x+3
we can see that two chords AC and BD are intersecting inside the circle
so, we can use property
now, we can plug values
now, we can multiply them
now, we can move all terms on left side
...............Answer