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mars1129 [50]
3 years ago
10

Derivative Applications: Exercise "Speed and instantaneous acceleration"

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

Refer to the attachment

Used formula

\\ \sf\longmapsto \dfrac{d}{dx}x^ndx=nx^{n-1}

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Find how long it takes a $ 900.00 investment to earn $ 120.00 in interest if it is invested at 6% compounded annually.
atroni [7]
So, we know the earned interest is 120, and we know the original deposited amount is 900 bucks, so, the accumulated amount will then be 900 + 120 or 1020 bucks.

\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$1020\\
P=\textit{original amount deposited}\to &\$900\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years
\end{cases}

\bf 1020=900\left(1+\frac{0.06}{1}\right)^{1\cdot  t}\implies \cfrac{1020}{900}=(1.06)^t\implies \cfrac{102}{90}=(1.06)^t
\\\\\\
log\left(\frac{102}{90}  \right)=log(1.06^t)\implies log\left(\frac{102}{90}  \right)=t\cdot  log(1.06)
\\\\\\
\cfrac{log\left(\frac{102}{90}  \right)}{log(1.06)}=t\implies 20.92 \approx t
7 0
4 years ago
The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks
mojhsa [17]
The correct answer is 1/3f +36 = 85.  You can figure this out by reading this "<span>The number of State Parks in California is <u>36 more than one third the number of State Parks in Florida</u>" and writing it as an equation.  

85 = <u>1/3f + 36</u></span>
7 0
3 years ago
What is the mean and median of this data set 10,7,6,3,44,8,4,2
Orlov [11]

Answer:

mean: 10.5 med: 6.5

Step-by-step explanation:

used calculatorrrr

median-middle number

mean- add all values and divide the number of values which is 8

6 0
4 years ago
If a certain factory produces 24 Pepsi bottles of one liter capacity each in 12 minutes,
vaieri [72.5K]

Answer:

It produces 120 bottles in one hour.

Step-by-step explanation:

This question can be solved by proportions.

24 Pepsi bottles of one liter capacity each in 12 minutes

24/12 = 2 bottles per minute.

How many Pepsi bottles does it produce in one hour?​

One hour has 60 minutes. So

60*2 = 120

It produces 120 bottles in one hour.

5 0
3 years ago
Please help this due today
Lelechka [254]

Answer:

A

Step-by-step explanation:

just add all of them and divide it by six.

8 0
3 years ago
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