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Alchen [17]
2 years ago
8

Simplify the following (1/2)^-3

Mathematics
1 answer:
gogolik [260]2 years ago
7 0

Answer:

  • 8

====================

Use properties:

  • a^{bc} = (a^b)^c
  • a^{-1} = 1/a\\

Simplify in steps:

  • (\cfrac{1}{2})^{-3} =                              
  • (\cfrac{1}{2})^{-1*3} =                        
  • ((\cfrac{1}{2})^{-1})^3 =                    
  • 2^3=
  • 8

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Two brothers, Mark and Charles, each inherit $31000. Mark invests his inheritance in a savings account with an annual return of
Nutka1998 [239]

Answer:

$1,085

Step-by-step explanation:

Data provided in the question:

Amount inherited and invested i.e principle = $31,000

Annual return for Mark on savings account = 2.9% = 0.029

Annual return for Charles on CD = 6.4% = 0.064

Now,

The Interest earned by Mark in 1 year = principle × Rate × Time

= $31,000 × 0.029 × 1

= $899

The Interest earned by Charles in 1 year = principle × Rate × Time

= $31,000 × 0.064 × 1

= $1,984

Therefore,

More Money that Charles have than Mark = $1,984 - $899

= $1,085

7 0
4 years ago
Mary purchased 3 yards of fabric from a roll containing
Serggg [28]

Answer:

42

Step-by-step explanation:

If Mark purchased 3 yards there would be 509 yards left, divide that by 12 and you get 42.416 yards reamaing, or 42 full 12 yard fabrics.

7 0
3 years ago
What is the cube root of 57 R cubed
Studentka2010 [4]
Approximately 3.849 is the cube root of 57 cube root.
8 0
3 years ago
F(x)=3x2+2x−3 <br><br> g(x)=2x+4
Yakvenalex [24]

Answer:

A: 6

B: 16

C: 2

D: -12

Step-by-step explanation:

They are asking you to multiply the equations:

(3x^2 + 2x - 3)(2x + 4)

Distribute and you should get:

6x^3 + 16x^2 + 2x - 12

The Coefficients A,B,C, and D are 6, 16, 2, and -12.

3 0
3 years ago
What is 1/400 equal to in a percentage
finlep [7]

Basically the line (/) means divide so basically 1 divided by 400 but we need a percentage so 1/400 = 0.0025 which will be 0.25%

Hope this helps this is as much as I can really explain it.

7 0
3 years ago
Read 2 more answers
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