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C
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\(\pi\)
e
\(\frac{a}{b}\)
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\(\sqrt{\,}\)
\(a^{b}\)
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\(\div\)
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ln
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sin
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tan
tan⁻¹
You invest \(\dollar\)2,000 in an account with compound interest that grows by \(5\pourcent\) each year. Let \(u_n\) be the total amount in the account after \(n\) years.
Part A: Write the Explicit Formula
To increase by \(5\pourcent\), we multiply by \(1.05\). The formula for the amount after \(n\) years is:
\(u_n =\)
\(\pi\)
\(e\)
\(x\)
\(n\)
\(u_n\)
\(f\)
\(i\)
\(\frac{a}{b}\)
\(\sqrt{\,}\)
\({a}^{b}\)
\(\ln{\,}\)
\(\log{\,}\)
!
\(C\)
7
8
9
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→
\(\sin{\,}\)
4
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(
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\(\cos{\,}\)
1
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3
\(\times\)
\(\div\)
\(\tan{\,}\)
C
0
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+
-
=
Part B: Calculate a Future Value
What will the balance be after 10 years? (Round to two decimal places)
\(u_{10} =\)
\(\pi\)
\(e\)
\(x\)
\(n\)
\(u_n\)
\(f\)
\(i\)
\(\frac{a}{b}\)
\(\sqrt{\,}\)
\({a}^{b}\)
\(\ln{\,}\)
\(\log{\,}\)
!
\(C\)
7
8
9
←
→
\(\sin{\,}\)
4
5
6
(
)
\(\cos{\,}\)
1
2
3
\(\times\)
\(\div\)
\(\tan{\,}\)
C
0
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=
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