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icang [17]
2 years ago
8

a leaf hangs from a branch 12 feet in the air. it falls to the ground at a rate of 0.25 feet per second. which graph could repre

sent the leafs height in feet as a function of time, in seconds, after leaving the branch

Mathematics
1 answer:
Kipish [7]2 years ago
7 0
For this case we have an equation of the form:
 h (t) = (1/2) * (a) * (t ^ 2) + v0 * t + h0

 Where,
 h0: initial height
 v0: initial speed
 a: acceleration
 Substituting values we have:
 h (t) = (1/2) * (- 32) * (t ^ 2) + 0.25 * t + 12

 Rewriting we have:
 h (t) = -16t ^ 2 + 0.25 * t + 12

 Note: see attached image
 Answer:
 
h (t) = -16t ^ 2 + 0.25 * t + 12

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Answer:

  1.   CI = P (1 + \frac{r}{100} )^ n - P

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      n is number of years

   2. a. Semi annually - four times in a year

       b. Monthly           -  two times in a year

       c.  annually          -  once in a year

Step-by-step explanation:

1.  Money is said to be lent at compound interest , when the interest has become due at certain fixed period say, one year, half year, etc.., is given not paid to money lender, but is added to sum lent . The amount thus obtained become principal for next month and this process repeat until last period .

i.e CI = Final period - Initial period

or CI = A - P

or CI = P(1+ \frac{r}{100}) ^n - P

2. (a) Semi annually

        A = P (1 + \frac{r}{4 * 100} )^ n × 4

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   (c)  Annually

       A = P (1 + \frac{r}{100} ) ^ n

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3 years ago
What is the answer to this problem −12/5+13/6+−3 2/3
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2 years ago
The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the
babunello [35]

Answer:

The dimensions of the rectangle = 60ft by 107ft

Where 60 ft = Width of the playing field

107ft = Length of the playing field

Step-by-step explanation:

A playing field is Rectangular is shape, hence,

The formula for Perimeter of a rectangle = 2(L + W)

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L = 47 + W

W = W

Hence we input these values in the formula and we have:

334 = 2(47 + W + W)

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334 = 94 + 4W

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240 = 4W

W = 240/4

W = 60

There fore, the width of this playing field = 60 ft

The length of this rectangle is calculated as:

47 + W

47 + 60

= 107 ft

The length of this playing field = 107ft

Therefore the dimensions of the rectangle = 60ft by 107ft

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2 years ago
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ikadub [295]
I hope this helps you



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Step-by-step explanation:

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