2.Gasoline costs $1.99 per gallon. The price per gallon increases an average of 6%per month. a.Write an exponential growth model b.What is the price per gallon of gasoline after of the price of a gallon of gasoline after 14 months? (dollars) as a function of x months.

Answers

Answer 1
Answer:

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


Related Questions

Add. Use models if needed. (4x – 4) + (–x + 2)
The ratio 18:24 in its simplest form
A bag contains 12 oranges, 8 nectarines, 7 red apples, and 3 green apples. One fruit is chosen without looking.Find P (any apple or nectarine). A. 33.3% B. 40% C. 60% D. 80%
On the spinner below, what is P(red or blue)? point)4. On the spinner below, what is P(not purple)? point
What is the simplified form of the expression 2 * [(1+14)*7]+6/0.5^3?

−32c+12≤−66c−16 plz answer ASAp and right. its my mastery challenge on khan

Answers

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! :)

Is 6in or 5ft <,>=, and also do you think you can help me out?

Answers

Ft. is a bigger unit, and because 6 in. is only 0.5 ft., 6 in.< 5 ft.
its 6in<5ft because 12in are in a foot

I am a prime number between 30 and 40 what number could I be?

Answers

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:

brainly.com/question/30210177


#SPJ6

you could be 31 and 37 are prime numbers nothing you multiply with a whole number will you get these numbers 

Write the numbers in order from least to greatest.1. 0.5,0.05, 5/8 __________

2. 1.3,1 1/3, 1.34 __________

3. 2.07,2 7/10,2.67, -2.67 _____________________

Answers

1. 0.05, 0.5, 5/8 
2. 1.3, 1 1/3, 1.34 
3. -2.67, 2.07, 2.67, 2 7/10 

to get the fractions into decimal numbers, you divide the top number by the bottom. So 5/8th = 0.625 as a decimal number. 

Combine like terms to simplify the expression.

−4p+(−6p)

Answers

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.

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?

Answers

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

f(x) = x

The transformed graph has equation:

g(x) =  - 8f(x)

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: