Simple and Compound Interest in ENEM Solved Questions

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Escola de Números com Thyago Araujo

Published on Sep 18, 2020
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Are you having trouble understanding or solving simple and compound interest questions? In this Math video lesson, you will learn how to solve simple interest questions and how to solve compound interest questions in ENEM. To download the PDF material to practice, click on the link below. This e-book contains 11 exercises on simple interest and compound interest. SUBSCRIBE TO THE CHANNEL AND LEAVE A LIKE to strengthen the list. Link to the list: https://thyagoaraujo.com/listas-de-qu... Study with me and succeed in Math. ONLINE MATHEMATICS PLATFORM: https://www.thyagoaraujo.com Follow us on social media: ► Instagram: / escoladenumeros ► Twitter: / escoladenumeros Solved questions from previous ENEM exams (ENEM-2018) A loan agreement provides that when an installment is paid in advance, an interest reduction will be granted according to the period of anticipation. In this case, the present value is paid, which is the value, at that moment, of an amount that should be paid on a future date. A present value P subject to compound interest at rate i, for a period of time n, produces a future value V determined by the formula: ????=????∙(????+????)^???? In a loan agreement with sixty fixed monthly installments, of R$820.00, at an interest rate of 1.32% per month, together with the thirtieth installment, another installment will be paid in advance, provided that the discount is greater than 25% of the installment value. Use 0.2877 as an approximation for In ln⁡(4/3) and 0.0131 as an approximation for ???????? (1.0132). The first installment that may be paid in advance along with the 30th is the a) 56th b) 55th c) 52nd d) 51st e) 45th (ENEM-2015) A couple takes out a mortgage for R$180,000.00, to be paid in 360 monthly installments, with an effective interest rate of 1% per month. The first installment is paid one month after the release of the funds and the monthly installment is R$500.00 plus interest of 1% on the outstanding balance (amount due before payment). Note that, with each payment, the outstanding balance is reduced by R$500.00 and consider that there are no overdue installments. Making the payment in this way, the amount, in reais, to be paid to the bank in the tenth installment is a) 2,075.00. b) 2,093.00. c) 2,138.00. d) 2,255.00. e) 2,300.00. (ENEM-2011) A young investor needs to choose which investment will bring him the greatest financial return on an investment of R$500.00. To do so, he researches the yield and the tax to be paid on two investments: savings and CDB (Bank Deposit Certificate). The information obtained is summarized in the table: For the young investor, at the end of one month, the most advantageous investment is a) savings, as it will total an amount of R$502.80. b) savings, as it will total an amount of R$500.56. c) CDB, as it will total an amount of R$504.38. d) CDB, as it will total an amount of R$504.21. e) CDB, as it will total an amount of R$500.87. (ENEM-2017) A loan was taken out at a monthly rate of i%, using compound interest, in eight fixed installments equal to P. The debtor has the possibility of paying off the debt early at any time, paying the current value of the installments still to be paid. After paying the 5th installment, he decides to pay off the debt when paying the 6th installment. The expression that corresponds to the total amount paid to pay off the loan is: (ENEM-2011) A person invested a certain amount in stocks. In the first month, he lost 30% of the total investment and, in the second month, he recovered 20% of what he had lost. After these two months, he decided to withdraw the amount of R$3,800.00 generated by the investment. The initial amount that this person invested in stocks corresponds to the value of a) R$4,222.22. b) R$4,523.80. c) R$5,000.00. d) R$ 13,300.00. e) R$ 17,100.00.

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