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Bingel [31]
3 years ago
8

Katie just got her drivers license

Mathematics
2 answers:
Advocard [28]3 years ago
6 0

Step-by-step explanation:

Congratulations!!!!

Yakvenalex [24]3 years ago
4 0

Answer:

Congratulations! Hope that she can drive around now!

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Given a term in a geometric sequence and the common ratio, find the explicit formula, a11=5120 ans r=-2
sweet-ann [11.9K]

Answer:

U_n=5(-2)^{n-1}

Step-by-step explanation:

Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:

U_n=ar^{n-1}

If the eleventh term, a_{11}=5120

and the common ratio, r=-2.

Then:

5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5

The explicit formula for the sequence is:

U_n=5(-2)^{n-1}

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\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]


\bf \qquad 
\begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array}&
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &200\\
r=rate\to 7\%\to \frac{7}{100}\to &0.07\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, four quarters}
\end{array}\to &4\\

t=years\to &12
\end{cases}
\\\\\\
A=200\left[ \cfrac{\left( 1+\frac{0.07}{4} \right)^{4\cdot 12}-1}{\frac{0.07}{4}} \right]
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What is 9.78 rounded to the nearest tenth?
Zarrin [17]
Since the number before the number in the tenth place (7) is greater than 5 (8), you will be rounding up. So your answer is 9.80
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4 years ago
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What is expanded form for 218,375 in multiplication
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200,000+10,000+8,000+300+70+5
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