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Misha Larkins [42]
2 years ago
11

A ferris Wheel has a radius of 65 feet. What is the circumference of the wheel?​

Mathematics
1 answer:
MAXImum [283]2 years ago
7 0

Answer:

63 in.3 that's what I got so I hope it's right

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Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
Which shape could not be a cross section for this cube?
brilliants [131]

Answer:

C) Octagon

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If there are five different breads, eight meats, five cheeses, and five special sauces, how many different sandwiches are possib
Papessa [141]

Answer:

There are 1000 different sandwiches possible.

Step-by-step explanation:

The number of breads available is, 5.

The number of meats available is, 8.

The number of cheese available is, 5.

The number of special sauces available is, 5.

Assuming that a person is allowed 1 selection of each category.

The possible number of sandwiches that can be made is:

=5\times8\times5\times5\\=1000

Thus, there are 1000 different sandwiches possible.

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3 years ago
In Your Own Words: Is the sum of two integers positive, negative, or zero? How can you tell?
ivolga24 [154]

by 2 integers do you mean the same numbers just one negative and one whole?

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Ordered pairs are ordered as (x,y) What is the constant of proportionality
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I dont k n o w w w

s o r r y
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