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Viefleur [7K]
3 years ago
15

A pair of pants costs $80. If the sales tax is 8.25% how much is the sales tax? *

Mathematics
1 answer:
alexira [117]3 years ago
7 0

Answer:

Step-by-step explanation:

80 x 0.0825= sales tax

=6.6

= $6.60

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Look at picture <br>y=_<br><br>the height of the baseball after 5 seconds is ___ feet​
Wittaler [7]

Answer:

  • y = -2(x -3)² +24
  • 16 feet

Step-by-step explanation:

We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...

  y = a(x -3)² +b

Filling in the values from the first two table points, we get

  For (x, y) = (0, 6):

     6 = a(0 -3)² + b       ⇒   9a +b = 6

  For (x, y) = (2, 22):

     22 = a(2-3)² +b       ⇒   a +b = 22

Subtracting the second equation from the first gives ...

  (9a +b) -(a +b) = (6) -(22)

  8a = -16 . . . . . . collect terms

  a = -2 . . . . . . . . divide by 8

The second equation above tells us ...

  b = 22 -a = 22 -(-2) = 24

So, our equation for y is ...

  y = -2(x -3)² +24

__

The value of y for x=5 is ...

  y = -2(5 -3)² +24 = 16

The height of the ball after 5 seconds is 16 feet.

5 0
3 years ago
Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discha
mr Goodwill [35]

Answer:

Step-by-step explanation:

Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by

T(x) = 160-0.05x^2

a. [0, 10]

For x = 0

T(0) = 160 - 0.05 × 0^2

T(0) = 160

For x = 10

T(10) = 160 - 0.05 × 10^2

T(10) = 160 - 5 = 155

The average temperature

= (160 + 155)/2 = 157.5

b. [10, 40]

For x = 10

T(10) = 160 - 0.05 × 10^2

T(10) = 160 - 5 = 155

For x = 40

T(10) = 160 - 0.05 × 40^2

T(10) = 160 - 80 = 80

The average temperature

= (80 + 155)/2 = 117.5

c. [0, 40]

For x = 0

T(0) = 160 - 0.05 × 0^2

T(0) = 160

For x = 40

T(10) = 160 - 0.05 × 40^2

T(10) = 160 - 80 = 80

The average temperature

= (160 + 80)/2 = 120

6 0
3 years ago
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