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George’s parents are saving for his college fund. they put $5,000 into an interest bearing account with a compound interest rate of 5.5%. george’s parents want to determine what the balance of his college fund account will be after 15 years. using the formula a = p (1 r) superscript t, which is the correct substitution for the formula? a = 5,000 (1 0.055) superscript 15 a = 5,000 (1 0.055) 15 a = 5,000 (1 0.015) superscript 5.5 a = (5,000 0.055) 1 superscript 15

User Clearlight
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2 Answers

21 votes
21 votes

Answer:

A

Explanation:

edge 2022 :)

User Arkir
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so hmmm is compound interest, now, we'll be assuming the compounding period is per year, or annually, so it happens once per year.


~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+(r)/(n)\right)^(nt) \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 5.5\%\to (5.5)/(100)\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &15 \end{cases} \\\\\\ A=5000\left(1+(0.055)/(1)\right)^(1\cdot 15)\implies A=5000(1.055)^(15)

User Laszlo Korte
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