请帮做一道数学题Of the following,whish is the greatest amount of money that aperson can borrow at an annual interest rate of 6.5 per cent if the loan andinterest are to be paid off at the end of one year with the money from acheck of $.1,600?(A) 2,460 (B) 1,704 (C) .1,520 (D) 1,500 (E) 1,040
问题描述：
请帮做一道数学题
Of the following,whish is the greatest amount of money that a
person can borrow at an annual interest rate of 6.5 per cent if the loan and
interest are to be paid off at the end of one year with the money from a
check of $.1,600?
(A) 2,460 (B) 1,704 (C) .1,520 (D) 1,500
(E) 1,040
答
By the end of 1 year, the person have to pay 1+6.5% = 1.065 of what he originally borrowed. This can't exceed 1600, so the greatest amount he can borrow is 1600÷1.065 ≈ 1502.35.
So (d) would be the closest answer.
答
b
答
As the loan and the interest to be paid at the end of one year,let the loan be xwhat we need to pay is x+6.5%x which should be equals or less than $1,600therefore 1.065x