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Vlada [557]
2 years ago
5

The carousel in st Augustine park has a diameter of 36 ft each ride last 3 minutes and the speed of the carousel is 3.8 revoluti

ons per minute what is the maximum distance riders travel in one full ride round to the nearest hundred
Mathematics
1 answer:
mars1129 [50]2 years ago
3 0

Answer:

1289.31 feet

Step-by-step explanation:

One full ride has 3 minutes of duration, and the speed of the carousel is 3.8 revolutions per minute, therefore one full ride takes 3.8*3 = 11.4 revolutions.

If the diameter of the carousel is 36 feet, its circunference is pi*36 feet long.

In each revolution of the carousel, it travels the length of its circunference, that is, pi*36 feet.

If one full ride has 11.4 revolutions, the total distance travelled by the rider is 11.4 * pi * 36 = 1289.31 feet

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If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what
Furkat [3]

Answer:

$229673.215

Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

Formula : A=P(1+r)^t

A_1=42000(1+0.03)^1

A_1=43260

A_2=42000(1+0.03)^2

A_2=44557.8                  

A_3=42000(1+0.03)^3

A_3=45894.534                

A_4=42000(1+0.03)^4

A_4=47271.370                

A_5=42000(1+0.03)^4

A_5=48689.511            

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is  $229673.215

5 0
1 year ago
at an amusement park, Robin bought a t-shirt for $8 and 5 ticket for ride. she spent a total of $23. How much did each ticket co
Elanso [62]

Each ticket cost $3

8+5x=23

5x=15

x=3

3 0
2 years ago
Read 2 more answers
At a track meet, the longest shot put throw by a boy is 25 feet and 8 inches. The longest shot put throw by a girl is 19 feet an
MAVERICK [17]
Its 6 feet and 5 inches 
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2 years ago
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He price of a visit to the dentist is calculated according to the formula 50+100n50+100n50, plus, 100, n where nnn is the number
weqwewe [10]
50(1+2)
(-1/2,0)
(0,50)
6 0
2 years ago
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The solution to a quadric equation are x=2 and x=7. If k is a nonzero constant which of the following must be equal to the quadr
nikklg [1K]

Answer:

The quadratic equation form is x² - 9 x + 14  = 0            

Step-by-step explanation:

Given in the question as ,

The solution of quadratic equation are x = 2   and x = 7

The constant K is a non-zero number

Now , let the quadratic equation be , ax² + bx + c = 0

And  sum of roots = \frac{ - b}{a}

       product of roots = \frac{c}{a}

So, 2 + 7 = \frac{ - b}{a}

Or, 2 × 7 =  \frac{c}{a}

I.e \frac{ - b}{a}  = 9     ,     \frac{c}{a} = 14

Or,  b =  - 9 a           And c = 14 a

Put this value of b and c in standard form of quadratic equation

I.e ax² + bx + c = 0

Or, ax² - 9 ax + 14 a = 0

Or , a ( x² - 9 x + 14 ) = 0  

∴ a = 0   And  x² - 9 x + 14 = 0

Hence ,  The quadratic equation form is x² - 9 x + 14  = 0      Answer

7 0
1 year ago
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