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aalyn [17]
3 years ago
12

An employee put $5,000 in a retirement account that offers 9% interest compounded annually. The employee makes no additional dep

osits or withdrawals. How much interest will the employee have earned at the end of 5 years. Make sure to round your answer to the hundredths.
Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer:

$2,693.12 will the employee have eared at the end of 5 years.

Step-by-step explanation:

The formula of compound interest:

A=P(1+r)^n

I = A-P

A= The amount in the account after n years

P= Principal

r= rate of interest annually

n= time in years.

An employee put $5,000 in retirement account that offer 9% interest compounded annually.

Here P=$5,000, r=9%=0.09, n= 5 years

A=5,000(1+0.09)^5

   =$7,693.12

The interest = A-P

                   =$(7,693.12-5,000)

                   =$2,693.12

$2,693.12 will the employee have eared at the end of 5 years.

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<img src="https://tex.z-dn.net/?f=%20%5Chuge%5Cfbox%5Cgreen%7BQUESTION%7D%20" id="TexFormula1" title=" \huge\fbox\green{QUESTION
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\huge \fbox \orange{♧Answer♧}

\mathcal\blue{METHOD\:1}

\mathsf \purple{ - ( \frac{y}{x} )}

\mathsf \purple{ - ( \frac{ - 4}{5})}

\mathsf \purple{( \frac{4}{5} )}

\mathcal\blue{METHOD\:2}

\mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)}

\mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)}

\mathsf\purple{( \frac{4}{5})}

\mathcal\blue{METHOD\:3}

\mathsf\purple{m\:=\:rise\:÷\:run}

\mathsf\purple{m\:=\:( \frac{4}{5})}

\mathbb\pink{NOTE:}

  • The difference between the y-coordinates of the two points is called the rise.
  • The difference between the x-coordinates of the same two points is called the run.
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