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BartSMP [9]
3 years ago
15

20 POINTS HELPPPPP

Mathematics
2 answers:
Olenka [21]3 years ago
4 0

D. 1 is the answer on edg

kiruha [24]3 years ago
3 0

For this case we have the following expression:

\frac {216 ^ {n-2}} {(\frac {1} {36}) ^ {3n}} = 216

We multiply both sides by: (\frac {1} {36}) ^ {3n}

216 ^ {n-2} = 216 * (\frac {1} {36}) ^ {3n}

We divide both sides by 216:

\frac {216 ^ {n-2}} {216} = (\frac {1} {36}) ^ {3n}

To divide powers of the same base, we place the same base and subtract the exponents:

216 ^ {n-2-1} = (\frac {1} {36}) ^ {3n}\\216 ^ {n-3} = (\frac {1} {36}) ^ {3n}

Rewriting:

(6 ^ 3) ^ {n-3} = (\frac {1} {6 ^ 2}) ^ {3n}\\6 ^ {3n-9} = \frac {1} {6 ^ {6n}}\\6^{ 3n-9} * 6^{ 6n} = 1

To multiply powers of the same base, we place the same base and add the exponents:

6^{ 3n-9 + 6n} = 1\\6^{ 9n-9} = 1

We know that any number raised to zero is 1, a ^ 0 = 1.

So, for equality to be true:

9n-9 = 0\\9n = 9\\n = \frac {9} {9}\\n = 1

Answer:

n = 1

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Evgen [1.6K]
<span>The equation for that is

A = P * [ 1 + (r/n) ] ^(nt)

A = amount of money accumulated after n years, including interest.
P = principal amount (the initial amount you borrow or deposit)
r = annual rate of interest (as a decimal)
n = number of times the interest is compounded per year
t = number of years the amount is deposited or borrowed for.

In this question, P = 9700 , r = 0.034, n = 4 , t = 1
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<span>A = 9700 * [ 1 + (0.034 / 4) ] ^ (4 * 1)

= 9700 * ( 1 + 0.0085 )^4

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6 0
4 years ago
Read 2 more answers
Find the domain and range of this relation? (Assume there are arrows at both ends of the relation.)
Radda [10]

Answer:

Domain: ( -∞ , ∞ )
Range: ( -∞ , 4 ]

Step-by-step explanation:

Hi there!

The domain tells us the possible x-values of a function. Because there are arrows at the end of each side, it means the graph is travelling infinitely to both the left and the right side. This means the the domain is all real numbers, meaning that for any value of x, there is a real value for y.

( -∞ , ∞ )

The range tells us the possible y-values of a function. Both sides of the graph are travelling infinitely downwards, starting from 4.

( -∞ , 4 ]

I hope this helps!

5 0
2 years ago
Please help me with this
Anni [7]
Sub in the numbers for x

6 0
3 years ago
Evaluate 20x y given that x=15 and y= 10.​
Gnoma [55]

Answer:

3000

Step-by-step explanation:

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Montano1993 [528]

Answer: You did not have An = sign in the equation so ??

Step-by-step explanation:

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Group like terms and combine

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6 0
4 years ago
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