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Deffense [45]
3 years ago
15

Mack the bug starts at (0,0) at noon and each minute moves one unit right or one unit up. He is trying to get to the point (5,7)

. However, at (2,3) there is a spider that will eat him if he goes through that point. In how many ways can Mack reach (5,7) ?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0
<span>This is a very nice counting question. Suggestion / Hint: Count how many ways he can get from (0,0) to (5,7) by going through the point (2,3). Then subtract that from ALL POSSIBLE ways he can get from (0,0) to (5,7). Hint for the hint: How many ways he can get from (0,0) to (5,7) by going through the point (2,3)? Well, that's the SUM of how many ways he can get from (0,0) to (2,3) and how many ways he get get from (2,3) to (5,7). Hope this helps! :)</span>
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Point w is located at (6,2) where is W after a 180 degrees counterclockwise rotation
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3 years ago
a local parts shop buys a machine that costs $500,000. its value depreciates exponentially each year by 10%. what is the machine
jeka94
Hello!

Answer:

$295.295

Explanation:

Of the statement, we have that the price of the machine decreased 10% every year exponentially, so in the first year it real value drops to 90% of the costs. For 5 years, It can be expressed and simplified by the following equation:

We can't use that the percent drop as a percent itself, so we are going to divide 90% by 100%, and it will give us an entire number.

\frac{90}{100}=0,9 \\ \\ Value=Costs.(0.9)^{years}


By substituting we have:

Value=500000.(0.9)^{5}

Value: $295.245


Have a nice day!



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