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spin [16.1K]
3 years ago
8

State whether each percent of change is a percent increase or a percent decrease. Then find the percent of increase or decrease

. Round to the nearest whole percent
Original : 324 people
New: 549 people
Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

Step-by-step explanation:

the answer is 1778.49

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A beacon is flashing on top of a 50 foot tower. A 6 foot tall man walks constantly away from the tower at 5 feet/sec. At the ins
Viefleur [7K]

Answer:\frac{253}{44}

Step-by-step explanation:

ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.

Similar triangles so we can do \frac{50}{x+y}  = \frac{6}{y}.

Solve for it we get 44y = 6x

Differentiate relative to time t, we get 44y' = 6x'.

change in x (x') is equal to 5. And we get the answer y' = \frac{33}{44}.

the \frac{33}{44} ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.

7 0
2 years ago
A farmer wants to fence a rectangular area of 72 square feet next to a river. Find the length and width of the rectangle which u
Arlecino [84]

Answer:

  • 12 ft parallel to the river
  • 6 ft perpendicular to the river

Step-by-step explanation:

The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.

72 = W(2W)

36 = W²

6 = W . . . . . . the width perpendicular to the river

12 = 2W . . . .  the length parallel to the river

_____

<em>Development of this relation</em>

Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...

  A = xy = x(T -x)/2

Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...

 x = (0 +T)/2 = T/2

The corresponding area width (y) is ...

  y = (T -T/2)/2 = T/4

Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.

8 0
3 years ago
A grocery store offers a 10% discount on your entire purchase when you spend more than $50. You have $117 to spend on groceries
astra-53 [7]

Answer:

a≤80

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Five years ago, John's age was half of the age he will be in 8 years. How old is he now?
notka56 [123]
J-5=0.5J+8
J=0.5J+13
0.5J=13
J=26
8 0
2 years ago
Read 2 more answers
Construct parallel gram ABCD in which AB=8cm,BC=5.3cm and ABC=60​
cupoosta [38]

Answer:

first construct the base of 5.3 cm(bc)

make an angle of 60° in B [ use protactor or compass]

then construct the AB of 8 cm

now measure AD 5.3 cm

join D and C

6 0
3 years ago
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