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Pani-rosa [81]
3 years ago
15

Lloyd deposited $14300 into a savings account, and he didn't make any deposits or withdrawals for a year. If, after interest was

paid for the year, Lloyd's new balance was $14880.58, what was the APY of the savings account?
Mathematics
2 answers:
Minchanka [31]3 years ago
8 0

Answer:

4.06%

Step-by-step explanation:

To solve for the APY of Lloyd, we use the formula:

R=\dfrac{I}{Pt}

Since we don't know what the Interest earned is yet, we simply solve for the difference of the new balance and the old balance.

Interest Earned = $14880.58 - $14300

Interest Earned = $580.58

Now let's break down the values we have.

P = 14300

I = 580.58

t = 1

Now let's plug it into our formula.

R=\dfrac{580.58}{14300*1}

R=\dfrac{580.58}{14300}

R=0.0406or 4.06%

guajiro [1.7K]3 years ago
3 0

Answer:

4.06%

Step-by-step explanation:

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\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
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