asked 53.9k views
4 votes
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

asked
User Chayemor
by
7.1k points

2 Answers

5 votes

Answer:

A

Explanation:

edge 2022 :)

answered
User Bottleboot
by
8.5k points
13 votes

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)

answered
User Ivan Quintero
by
9.3k points
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