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algol13
3 years ago
12

Matthew scored a total of 168 points this basket ball season. He scored 147 of those points in the regular season, and the rest

were scored in his only playoff game. What percent oh his total points did he score in the playoff game?
Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0

\frac{147}{168}  =  \frac{x}{100}
147×100=14700
168×x=168x
14700÷168=87.5
100-87.5=12.5
Your answer is 12.5 percent of it were earned during the playoffs. Hope I was helpful.
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Your bank account is sitting on $14,000. You started with a principal balance of $12,500. If the interest rate was 4.5% compound
Simora [160]

Answer:

t=2.5\ years  

Step-by-step explanation:

we know that

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A=P(e)^{rt}  

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substitute in the formula above   and solve for t

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Simplify

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ln(1.12)=(0.045t)ln(e)  

Remember that

ln(e)=1  

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How to solve <img src="https://tex.z-dn.net/?f=log_%7By%7D%285y%29%20%3D%202" id="TexFormula1" title="log_{y}(5y) = 2" alt="log_
Natalija [7]

Answer:

  y = 5

Step-by-step explanation:

Expand the logarithm:

\log_y{(5)}+\log_y{(y)}=2\\\\\dfrac{\log{(5)}}{\log{(y)}}+1=2 \quad\text{change of base formula}\\\\\dfrac{\log{(5)}}{\log{(y)}}=1 \quad\text{subtract 1}\\\\\log{(5)}=\log{(y)} \quad\text{multiply by log(y)}\\\\5=y \quad\text{take the anti-log}

_____

You can also take the antilog first:

  5y = y²

  y(y -5) = 0 . . . . . subtract 5y, factor

  y = 0 or 5 . . . . . y=0 is not a viable solution, so y=5.

5 0
3 years ago
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