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2. Suppose that the terms on the above loan are changed so that the rate is stil

ID: 2787944 • Letter: 2

Question

2. Suppose that the terms on the above loan are changed so that the rate is still 6%, but the loan was made June 1, 2011 and to be repaid September 31, 2012. How much will you need to pay back on 9/31/12?
3. What was the original principal for an 8% simple interest bank account that holds $4340 after 3 years ?
4. A $650 loan is to be repaid in 4 years with an interest rate of 8% compounded yearly. What total amount will be due in 4 years?
4b. The interest is the difference between your principal (borrowed) and how much you paid altogether. How much interest will you pay? (be careful: it’s NOT i=Prt)
5. Repeat Problem #4, with the interest compounded monthly. What total amount will be due in 4 years? 5b.. How much of this is interest? Suppose that the terms on the above loan are changed so that the rate is still 6%, but the loan was made June 1, 2011 and to be repaid September 31, 2012. How much will you need to pay back on 9/31/12 2. 3. what was the original principal for an 8% simple interest bank account that holds $4340 after 3 years? AS650 loan i will be due in 4 years? s to be repaid in 4 years with an interest rate of 8% compounded yearly, what total amount 4 4b. The interest is the difference between your principal (borrowed) and how much you paid altogether. How much interest will you pay? (be careful: it's NOT i-Prt) 5, Repeat Problem #4, with the interest compounded monthly, what total amount will be due in 4 years? 5b.. How much of this is interest?

Explanation / Answer

(3) Amount = principal [1 + interest* time]

$4340 = principal [1 + 0.08 * 3]

   $4340 = principal * 1.24

   $4340 / 1.24 = principal

principal = $3500

(4)     Amount = principal [1 + interest/ number of compounding]number of compounding * time

   Amount = 650 [1 + 0.08/ 1]1*4   

Amount = 650 [1.08]4

Amount = 650 * 1.36049

Amount = $884.32

(4b) Total interest amount = Total amount - principal amount

           = $884.32 - $650

      = $234.32

(5) Amount = principal [1 + interest/ number of compounding]number of compounding * time

  Amount = 650 [1 + 0.08/12]12 * 4   

  Amount = 650 [1 + 0.00667]48      

  Amount = 650 [1.00667]48      

  Amount = 650* 1.37588

  Amount = $894.32

(5b) Total interest amount = Total amount - principal amount

           =  $894.32 - $650

      =  $244.32

     

  

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