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schepotkina [342]
3 years ago
15

A professional volleyball player can jump an average of 2.5 times higher than the average person. If an average person can jump

inches high, how high can the professional volleyball player jump?
a. 2x

b. 2.5x

c. 2.5(2x)

d. 10x
Mathematics
1 answer:
Eva8 [605]3 years ago
8 0
The answer is B, 2.5x
2.5 is the average of how many times higher they can jump and x is the average person
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Which property of exponents must be used first to solve this expression? (xy^2)^1/3
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(ab)n=anbn......................................

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Tia is investing $2500 that she would like to grow to $6000 in 10 years. At what annual interest rate, compounded quarterly, mus
Ghella [55]
\bf \qquad \textit{Compound Interest Earned Amount}\\
A=P\left(1+\frac{r}{n}\right)^{nt}

\\ \quad \\

\begin{cases}
A=\textit{current amount}\to &6,000\\
P=\textit{original amount deposited}\to &\$2,500\\
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n=\textit{times it compounds per year, quarterly}\to &4\\
t=years\to &10
\end{cases}
\\ \quad \\
meaning
\\ \quad \\

6,000=2,500\left(1+\frac{r}{4}\right)^{4\cdot 10}

solve for "r"

notice, the "r" value, goes in the equation as a decimal, so 5% is really 5/100 or 0.05 25% is 0.25 and so on

so... the "r" that you'll get, will be a decimal value, multiply that by 100, and you'll get the percentage notation of it

\bf 6,000=2,500\left(1+\frac{r}{4}\right)^{4\cdot 10}\implies\cfrac{6000}{2500}=\left(1+\frac{r}{4}\right)^{40}
\\ \quad \\
\cfrac{12}{5}=\left(1+\frac{r}{4}\right)^{40}\impliedby \textit{now, taking root }\sqrt[40]{\qquad }
\\ \quad \\
\sqrt[40]{\cfrac{12}{5}}=\sqrt[40]{\left(1+\frac{r}{4}\right)^{40}}\implies \sqrt[40]{\cfrac{12}{5}}=1+\cfrac{r}{4}
\\ \quad \\
\sqrt[40]{\cfrac{12}{5}}-1=\cfrac{r}{4}\implies 4\left( \sqrt[40]{\cfrac{12}{5}}-1 \right)=r \\ \quad \\

\bf 0.0885119586095070592=r\implies 0.0885\cdot 100\implies 8.85\%=r
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3 years ago
Help. will give brainliest. please hurry!!! <3
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Answer = 504 m2
Proof is below

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If point P partitions the segment<br> AB in a 1:2 ratio, where is point P located?
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If AP and PB are in a 1:2 ratio, it means that PB is twice AB.

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