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vovangra [49]
3 years ago
11

Using GEMS : groupings, exponents,

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

Answer:

7

Step-by-step explanation:

1) Simplify 5 - 4 to 1.

2² + 1 × 3

2) Simplify 2² to 4.

4 + 1 × 3

3) Simplify 1 × 3 to 3.

4 + 3

4) Simplify.

<h2><u><em>7</em></u></h2>
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How many years will it take $39,450 to double at an interest rate of 3.2%, continuously compounded? *
taurus [48]
Years = natural log (total / principal)  / rate
Years = ln (78,900 / 39,450) / .032
Years = ln (2) / .032
Years = 0.69314718056 / .032
Years = <span> <span> <span> 21.6608493925 </span> </span> </span>
And here's a calculator to check that answer:
http://www.1728.org/compint.htm


4 0
3 years ago
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PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

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24.39 is 9% of what number..........................
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Answer:

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If T: (x, y) → (x - 7, y + 2), then T -1: (x,y) → _____.
Natasha2012 [34]

Answer:

  D.  (x + 7, y - 2)

Step-by-step explanation:

To get back the original after translating left 7 and up 2, you must translate right 7 and down 2. The transformation of choice D does that.

7 0
3 years ago
Pls help me before I have another mental breakdown
Lyrx [107]

Answer:

a) fog(x) = (x-2)⁴ +4

b) (g o f) (x) = x⁴ + 2

c) hog(x) = \sqrt{x-2}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the function

f(x) = x⁴+4 , g(x) = x-2 , h(x) = √x

f o g (x) = f(g(x))

           = f(x-2)

         = (x-2)⁴ +4  (∵ f(x) = x⁴ +4))

fog(x) = (x-2)⁴ +4

<u><em>Step(ii):-</em></u>

(g o f) (x)  = g(f(x))

              = g(x⁴ +4)

             =  x⁴ +4 -2   ( ∵ g(x) = x-2)

            = x⁴ + 2

(g o f) (x) = x⁴ + 2

<u><em>Step(iii)</em></u>:-

hog(x) = h(g(x))

         = h(x-2)

         =  \sqrt{x-2}    

 hog(x) = \sqrt{x-2}

3 0
3 years ago
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