Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Which of the following piecewise functions represents charges based on Andrew's cell phone plan?

Answers

Answer 1

Answer:

Answer:

$f(x)=\left\{\begin{array}{l}19,\ \ x\le 300\n \n19+0.39(x-300),\ \ x>300\end{array}\right.$

Step-by-step explanation:

Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute.

Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan.

If $x\le 300,$ then $f(x)=19.$

If $x>300,$ then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore

$f(x)=19+0.39(x-300).$

Hence,

$f(x)=\left\{\begin{array}{l}19,\ \ x\le 300\n \n19+0.39(x-300),\ \ x>300\end{array}\right.$

Answer 2

Answer:

Answer:

19, x≤ 300

19+.39(x-300), x>300

Step-by-step explanation:

I just did this quiz

Related Questions

If f(x) = 8 - 5x, find f(3) *
What is the domain of the relation? {(−4.5, 0), (−3, 9), (0.9, 0), (4, −7.8), (4, 0), (17, 3)} {0.9, 4, 17} {−7.8, 0, 3, 9} {−4.5, −3, 0.9, 4, 17} {−4.5, −3}
there are only 7 days left until the launch of our new product and we only have 668.00 left in our promotion budget .we need to spend 85.00 on the last day .can you please calculate how many dollars a day we can spend on the remaining days?
Someone help me please
One half of the birds at the pet store are yellow. Tara buys one of the yellow birds. Then one third of the birds at the store are yellow. How many yellow birds were at the pet store before Tara bought one? Explain

A company’s sales of garden tractors increased about 106% from 2007 to 2008. Th e number of tractors sold in 2007 was
347. How many tractors were sold in 2008?

Answers

Answer:

715 garden tractors.

Step-by-step explanation:

We have been given that a company’s sales of garden tractors increased about 106% from 2007 to 2008. The number of tractors sold in 2007 was 347.

So the number of tractors sold during 2008 will be 347 plus 106% of 347.

$\text{Number of tractors sold during 2008}=\text{Number of tractors sold in year 2007+ Increase in number of tractors in 2008}$

$\text{Number of tractors sold during 2008}=347+((106)/(100)* 347)$

$\text{Number of tractors sold during 2008}=347+(1.06* 347)$

$\text{Number of tractors sold during 2008}=347+367.82$

$\text{Number of tractors sold during 2008}=714.82\approx 715$

Therefore, 715 garden tractors were sold in 2008.

Write these expressions in exponential form. Example: 12 to the power of 2 x 12 to the power of 6= 12 to the power of 2 +61. 11 to the power of 16 x 11 to the power of 1=

2. a to the power of 6 x a to the power of 8 =

3. (-2) to the power of 12 x (-2) to the power of 1=

4. 1.1 to the power of 7 x 1.1 to the power of 9 =

5. 3 to the power of 4 x 5 to the power of 2 =

Answers

Step-by-step explanation:

1. 11 to the power of 16 x 11 to the power of 1

$11^(16)*11^1=11^(16+1)=11^{17$

2. a to the power of 6 x a to the power of 8

$a^6*a^8=a^(6+8)=a^(14)$

3. (-2) to the power of 12 x (-2) to the power of 1

$(-2)^(12)*(-2)^1=(-2)^(12+1)=(-2)^(13)$

4. 1.1 to the power of 7 x 1.1 to the power of 9

$1.1^7*1.1^9=1.1^(7+9)=1.1^(16)$

5. 3 to the power of 4 x 5 to the power of 2

Assumed it is both 3 or 5, we take 3

$3^4*3^2=3^(4+2)=3^6$

The diameter of the Starbucks venti(large) lid is 3.3 inches. The tall(small) gas a diameter of 2.6 inches. What is the difference in the circumference of the two cups?

Answers

Answer:

0.7π ≈ 2.2 inches

Step-by-step explanation:

The circumference is computed from ...

C = πd

Then the difference in circumferences for two different diameters is ...

$C_2-C_1=\pi d_2-\pi d_1 = \pi(d_2-d_1)\n\n=\pi(3.3-2.6)=0.7\pi \quad\text{inches}$

0.7π ≈ 2.2

The difference in circumference of the two lids is about 2.2 inches.

Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th. His checkbook shows a balance of $87.37 as of March 20. The bank returned all the cancelled checks but two. One check was for $5.00 and the other was for $13.25. How much did Carlos deposit in his account between the March 15 and the March 20? A. $125.87
B. $11.22
C. $162.37
D. $48.87

Answers

The answer is D. $48.87. — $56.75 - $5.00 - $13.25 = $38.50$87.37 - $38.50 = $48.87Carlos deposited $48.87.

Answer:The answer is D. $48.87. — $56.75 - $5.00 - $13.25 = $38.50 $87.37 - $38.50 = $48.87 Carlos deposited $48.87.

Step-by-step explanation:

How do you convert 0.125 into a ratio

Answers

Start by writing the ratio of:

0.125/1 (since a number divided by 1 is itself)

Then multiply the numerator and denominator by 10, 100, or 1000, etc. until the numerator becomes an integer: (in this case multiplying by 1000 does the trick)

(0.125*1000)/(1*1000)
125/1000

Now simplify by dividing by common factors. For this problem, 5 is a common factor of both the numerator and denominator:

(125/5)/(1000/5)
25/200

Do this again with another common factor if possible. For this problem, 25 is another common factor:

(25/25)/(200/25)
1/8

Now there are no more common factors between the numerator and denominator. When this is the case, the fraction can be considered to have been simplified:

Answer is: 1/8

Answer:

Start by writing the ratio of:

0.125/1 (since a number divided by 1 is itself)

Then multiply the numerator and denominator by 10, 100, or 1000, etc. until the numerator becomes an integer: (in this case multiplying by 1000 does the trick)

(0.125*1000)/(1*1000)

125/1000

Now simplify by dividing by common factors. For this problem, 5 is a common factor of both the numerator and denominator:

(125/5)/(1000/5)

25/200

Do this again with another common factor if possible. For this problem, 25 is another common factor:

(25/25)/(200/25)

1/8

Now there are no more common factors between the numerator and denominator. When this is the case, the fraction can be considered to have been simplified:

Answer is: 1/8

Step-by-step explanation:

Circle the division problem that does not belong with the other three. Explain.Write one that does belong 621/6 384/3 719/7 514/5

Answers

Answer:

384/3

Step-by-step explanation:

^^Is the only one that equals a whole number the rest have decimals

Other Questions

Factor completely 2x2 + 28x + 96.

The circular ring of the fountain has a radius of 9 feet. what is the area of the ring?a. 4.5 square feetb. 28.26 square feetc. 63.61 square feetd. 254.34 square feet

Solve it by substitution method:- 5x - 6y=-9 and 3x + 4y= 25

Prove that the value of the expression(3^5-3^4)(3^3+3^2) is divisible by 24