Big Ideas Math: Modeling Real Life, Grade 7
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6. Simple Interest
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Exercise 29 Page 270

Use the simple interest formula I=Prt, where I is the interest, P the principal, r the annual interest rate, and t the time in years.

$ 6700.80

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If we borrow money from a bank, we pay the bank interest for the use of their money. Similarly, if we open a savings account, the bank deposits extra money on this account as interest. To calculate the interest I, we use the simple interest formula. I= P r t, where... I& = Interest P& = Principal r& = Annual interest rate t& = Time (in years) We know that we take a loan of $4800 with an annual interest rate of 9.9 %. We want to calculate the amount we pay for the loan after 4 years. Keep in mind that 9.9 % is written in decimal form as 0.099. P= 4800, r= 0.099, t= 4 To calculate the interest, we will substitute these values into the simple interest formula and evaluate the right-hand side.
I=Prt
I= 4800( 0.099)( 4)
I=475.2(4)
I=1900.8
After 4 years, the interest accrued is $1900.80. The total amount we pay for the loan is the sum of the loan and the accrued interest. $ 4800+ $ 1900.80=$ 6700.80 The amount we pay after 4 years is $ 6700.80.