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german
4 years ago
3

Penny drives a truck. The function p = 20h + 75 represents her daily pay, in dollars, for working h hours. She travels 60 miles

each hour. She also receives $0.10 for each bonus mile she drives. The function b = 60h × (0.10) represents the amount she earns for her bonus. Which function represents Penny's earnings, P, for driving h hours?
Mathematics
1 answer:
nadezda [96]4 years ago
8 0

Answer:

Penny's earning for driving h hours is represented by the function

P = 26h + 75

Step-by-step explanation:

- The function p = 20h + 75 represents her daily pay

- The function b = 60h × (0.10) represents the amount she earns for her bonus.

Penny's earnings is the addition of her daily pay and bonus.

It is represented by the function P.

P = (20h + 75) + 60h × 0.10

Simplifying this, we have

P = 20h + 75 + 6h

= 26h + 75

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If 27% of a number is 11.34, what is the number?
marishachu [46]
You times 11.34 by 27 the divide by 100 it should be 3.0618
4 0
3 years ago
Read 2 more answers
It takes Andrew 720720720 seconds to take a shower. He spends an additional 420420420 seconds eating breakfast. How many minutes
Brilliant_brown [7]

Answer: 19 minutes

Step-by-step explanation:

Here is the complete question:

takes Andrew 720 seconds to take a shower. He spends an additional 420 seconds eating breakfast.

How many minutes does it take Andrew to take a shower and eat breakfast?

From the question, we are told that Andrew spends 720 seconds to take a shower and also spends an additional 420 seconds eating breakfast. The total time spent by Andrew will be:

= 720 seconds + 420 seconds

= 1140 seconds

We will then convert 1140 seconds to minutes. We should note that 60 seconds = 1 minute. Therefore,

1140 seconds = 1140/60

= 19 minutes

Andrew uses 19 minutes to take a shower and eat breakfast.

7 0
4 years ago
Consider the parabola y = 5x − x2. (a) find the slope m of the tangent line to the parabola at the point (1, 4).
kkurt [141]
The tangent line to a curve is the one that coincides with the curve at a point and with the same derivative, that is, the same degree of variation.
 We have then:
 y = 5x-x²
 Deriving:
 y '= 5-2x
 In point (1, 4)
 The slope is:
 y (1) '= 5-2 * (1)
 y (1) '= 3
 The equation of the line will be:
 y-f (a) = f '(a) (x-a)
 We have then:
 y-4 = 3 (x-1)
 Rewriting:
 y = 3x-3 + 4
 y = 3x + 1
 Answer:
 the tangent line to the parabola at the point (1, 4) is
 y = 3x + 1
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7 0
4 years ago
A video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video
ankoles [38]
Answer:

24 video games

Step-by-step explanation:

Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.

We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54

To find the number of video-games that will cost same for both options, we will equate both expressions as:

4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54


Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.
3 0
3 years ago
Answer this answer correctly and you'll get 100 points + brainiest:
Serjik [45]

Answer:

B

Step-by-step explanation:

Part A:

3(m+54) = 381 shows that 54 is being added to m, the initial sum. Then it shows the sum of 54 + m being multiplied by 3 to get to the new balance of $381. This equation most accurately matches with the question.

Part B:

3(m-54) = 381.

You would first divide both sides by 3.

m - 54 = 127

You would now add 54 to both sides.

You now know m = 181.

5 0
3 years ago
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