Answer:
The expression that represents the price as a function of months is "gas(x) = 1.99*(1.06)^x" and after 14 months the price will be "gas(14) = 4.4992"
Step-by-step explanation:
Since it grows at a rate of 6% every month, then it starts as:
gas(0) = 1.99
On the first month:
gas(1) = gas(0)*(1.06)
On the second month:
gas(2) = gas(1)*1.06 = gas(0)*(1.06)*1.06 = gas(0)*(1.06)²
And so on. So the price growth can be modelled by the following expression:
gas(x) = gas(0)*(1.06)^x
Where x is the number of the month.
After 14 months the price will be:
gas(14) = 1.99*(1.06)^14 = 4.4992
Answer:
c ≤ -14/17
Step-by-step explanation:
-32c+12 ≤-66c-16
-32c+12-12 ≤-66c-12-12
-32c ≤-66c-28
-32c+66c ≤-66c-28 +66c
34c ≤-28
34c/34 ≤-28/34
Answer:
Hey guys! I got it wrong from the other answer so here is the actual one:
c≤= -14/17
Good luck everyone! :)
The prime number between 30 and 40 is 31.
To find the prime number between 30 and 40, we need to check each number in the range and determine if it is a prime number. A prime number is a positive integer greater than 1 that has no positive divisors other than 1 and itself.
Let's check the numbers between 30 and 40 one by one:
31: 31 is a prime number since it has no divisors other than 1 and 31.
32: 32 is not a prime number as it is divisible by 2 and 16.
33: 33 is not a prime number as it is divisible by 3 and 11.
34: 34 is not a prime number as it is divisible by 2 and 17.
35: 35 is not a prime number as it is divisible by 5 and 7.
36: 36 is not a prime number as it is divisible by 2, 3, 4, 6, 9, and 18.
37: 37 is a prime number since it has no divisors other than 1 and 37.
38: 38 is not a prime number as it is divisible by 2 and 19.
39: 39 is not a prime number as it is divisible by 3 and 13.
From the above analysis, we find that the prime number between 30 and 40 is 31.
To know more about prime number:
#SPJ6
2. 1.3,1 1/3, 1.34 __________
3. 2.07,2 7/10,2.67, -2.67 _____________________
−4p+(−6p)
Answer:
- 10p
Step-by-step explanation:
We know that,
( - ) × ( - ) = ( + )
( - ) × ( + ) = ( - )
( + ) × ( + ) = ( + )
Accordingly, let us solve the above expression.
- 4p + ( - 6p )
Solve the brackets.
- 4p - 6p
Combine like terms.
- 10p
Answer: - 10p
Step-by-step explanation A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.
Answer:
reflection over the x-axis and a vertical compression by a factor of 8
Step-by-step explanation:
The parent function is given as
The transformed graph has equation:
The factor of 8, indicates a vertical stretch.
The negative sign indicates a reflection in the x-axis.
Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.
Answer: shrunk vertically over the y axis
Step-by-step explanation: