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3 years ago

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Avery is going on vacation and she wants to spend 5/8 of her savings on the trip.Of that amount,she is going to spend 1/3 of tha

t on food.What fraction of her savings will be spent on food

1 answer:

Andrej [43]3 years ago

7 0

I think it's 7/24 of her savings will be spent on food.

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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\\
r=rate\to r\%\to \frac{r}{100}\to &0.0r\\
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 \\
$
$\bf 0.0885119586095070592=r\implies 0.0885\cdot 100\implies 8.85\%=r$

5 0

3 years ago

Please help me......due today

jok3333 [9.3K]

It’s D, C doesn’t make sense, but most definitely is A, if not B

8 0

3 years ago

at a local soccer game, 6/7 of the people were fans. one-half of those fans were wearing hats. what fraction of the people was w

Brut [27]

Answer: $\frac{3}{7}$

You simply need to multiply $\frac{6}{7}*\frac{1}{2}$ .
Multiply the numerators.
$6*1=6$
Multiply the denominators.
$7*2=14$
Simplify. $\frac{6}{14}*\frac{3}{7}$

7 0

3 years ago

How do you solve -x/6 > 3?

Lerok [7]

Answer:

Using Math.

Step-by-step explanation:

You solve it using math.

See, you should have been more specific with your question, maybe said "What is the answer" not "How do I solve".

But I guess I'll help you out bro

<em>Multiply</em> both sides by 6

that gives you -x>18

then <em>multiply</em> both sides by -1

which means you gotta <u>flip the sign</u>

so final answer is x<-18

4 0

3 years ago

How to rename the number 24 ten thousands?

kifflom [539]

Its 24,000 if the number goes to ten thousand's place..

5 0

3 years ago