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IrinaVladis [17]
3 years ago
8

Help me figure out how to simplify this please:

Mathematics
1 answer:
-BARSIC- [3]3 years ago
5 0
Think of it this way: 
8^3 means you have 3 times 8 multiplied together (8*8*8) 
Now this block is raised to the power of 7, so there are 7 blocks of 8*8*8 multiplied together. 
How many 8s do we have? 7 blocks of 3s, 7*3=21
Thus n=21
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Jace purchases a new motorcycle for $8000. The bike depreciates 12% every year.
Alex777 [14]

Answer:

We know that the original price of the bike was $8,000.

After one year, the price of the bike decays a 12%, then the new price of the bike is:

P(1) = $8,000*( 1 - 12%/100%) = $8,000*(1 - 0.12)

After another year, the price again decays a 12%, the new price will be:

P(2) = $8,000*(1 - 0.12)*(1 - 12%/100%) = $8,000*(1 - 0.12)*(1 - 0.12) = $8,000*(1 - 0.12)^2

We already can see the pattern here, after t years, the price of the bike will be:

P(t) = $8,000*(1 - 0.12)^t

With this equation, we can find the price of the bike after 5 years, where we only need to replace t by 5

We will get:

P(5) = $8,000*(1 - 0.12)^5 = $4,221.9

The price of the bike after 5 years is  $4,221.9.

Now we want two equations to represent this, so we need another.

This is kinda trivial, because there is only one equation that represents this, so we only can rewrite our equation in another form.

We could say that the price of the bike after t years is:

P(t) = $8,000*(0.88)^t

or something like:

P(t) = $7040*(0.88)^(t - 1)

Where i multiplied the initial value by 0.88, and then reduced the exponent by one.

3 0
2 years ago
Can you guys help? Another question about writing out an equation of the line shown in the graph
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Answer:

Step-by-step explanation:

4 0
3 years ago
An item costs n dollars. If the price of the item increases by 25%, the new price can be represented by the expression n + 0.25n
Schach [20]

D.

Explanation

I saw this answer in a different question today.

Moreover, 1n + 0.25n = 1.25n

4 0
2 years ago
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The sum of seven times a number, and 9, is equal to six times the number. What's the algebraic expression?
S_A_V [24]
7n+9=6n
9=-n
n=-9
..............
4 0
3 years ago
Helppppppppp i need an answer to this<br> math problem <br> attached file below
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The graphs of f and g intersect at x = 1, not x = -1.

g(x) is greater than f(x) for x < 1.

g(x) cannot be less than 1, as the graph flattens out at y = 1.

Based on the information given by the graph, the answer is "As the value of x increases, the value of g(x) will eventually exceed the value of f(x)".
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