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Readme [11.4K]
3 years ago
6

Stephanie earned 8 points for every book she read over the summer. The equation y = 8x represents Stephanie's points based on th

e number of books she read.
Use the table and equation to complete the statements and find the number of books Stephanie read.

1. Stephanie earned 72 points. Did she read fewer than 2 books, between 2 and 5 books, between 5 and 6 books, or more than 7 books? Explain how you know.


2. The equation y = 8x gives the points, y, earned by reading x books.

Use this equation to find the number of books Stephanie read to earn 72 points. Show your work.

(here are the tables)(plz answer both and dont be greedy as * and say i d k and get pts!)

Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0

Answer: multiply 8 on all x number of books read

Step-by-step explanation:

1 is 8 because 8 × 1 is 8

2 is 16 because 8 × 2 is 16

3 is 24 because 8 × 3 is 24

4 is 32 because 8 × 4 is 32

5 is 40 because 8 × 5 is 40

6 is 48 because 8 × 6 is 48

7 is 56 because 8 × 7 is 56

8 is 64 because 8 × 8 is 64

9 is 72 because 8 × 9 is 72

10 is 80 because 8 × 10 is 80

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andre [41]

Answer:

Step-by-step explanation:

1. no-has decimal

2. yes, simplifies to -2

3. yes

4. yes

5. no-2.1

8 0
3 years ago
If Betty makes monthly deposits at the end of each month in an account that earns 8% interest compounded monthly,
Svetlanka [38]

9514 1404 393

Answer:

  (a) $254.08

  (b) $767.34

  (c) $12,449.36

Step-by-step explanation:

These questions are best answered by a financial calculator or app. Such are available for your phone or tablet. A spreadsheet also has built-in functions for making these calculations.

(a) FV = $40,000, i = 8% per year, n = 9 years (108 months), compounding 12 times per year. The monthly deposit needs to be $254.08.

__

(b) Payment = $254.08, n = 3 months, i = 8%/year, compounding 12 times per year. FV = $767.34.

__

(c) The sum of 108 payments of $254.08 is ...

  108 × $254.08 = $27,440.64

The interest earned is enough to bring the account value to $40,000, so is ...

  $40,000 -27,440.64 = $12,559.36

_____

<em>Additional comment</em>

The amount $254.08 is rounded down to the nearest cent, so the balance after 9 years will be $39,999.70, which is $0.30 short of $40,000. We used $40,000 as the final account balance, so overestimated the interest by $0.30.

There may be additional small changes in the values if you round interest to the nearest cent each month the way a financial institution would. It is hard to tell in these problems how accurate you're intended to be in your calculations.

4 0
3 years ago
PLZ HELP!!!!<br> I will mark u the brainyest!!!answer only 1-4 questions!!
marishachu [46]
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3 years ago
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Answer:

(2a, 2b)

Step-by-step explanation:

(0, 2b)

(2a, 0)

(2a, 2b)

I racked my brain for that.

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3 years ago
A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

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y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

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Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

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64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

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Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0
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