Re: [計量] 請問一個圖表複利計算題
※ 引述《hankboy ( 身體健康)》之銘言:
: 有點看不太懂本題,也不知道運算方式,希望有大大協助,謝謝
: Hannah is planning on buying a jet ski. She will need to borrow some of the money. She created a chart to approximate the amount of her monthly payments. The approximate monthly payment is per $1,000 borrowed.
: ------------------------------------------------------------------------------
: Monthly payment per $1,000 borrowed for various annual rates and various numbers of payments.
: ----------------------------------------------------------------------------------------------
: Number of monthly payments
: Annualk interest rate 36 48 60
: ------------------------------------------------------------------------------
: 5% $28.87 $22.02 $17.77
: 8% $30.24 $23.31 $19.18
: 10% $31.17 $24.35 $20.14
: 12% $32.11 $26.24 $21.14
: ------------------------------------------------------------------------------
這題不用知道怎麼算利率,只要會查表即可
: 1.Hannah found a used jet ski she is thinking about purchasing. The list
: price is $7,495. She calculates that she will need to borrow $5,250.
: Approximately what would her monthly payment be if she borrowed the money for
: 48 months at an annual interest rate of 10%?
: (A) $105.74
: (B) $127.84
: (C) $163.64
: (D) $182.64
: (E) $216.38
: Ans:B
題目說要借5250元,48個月份的貸款,利率10%
表中查得48月份10%貸款每千元要付的利息為24.35
因此借5250元要還的利息為24.35*(5250/1000)=127.84
: 2.A local dealership is having a year clearance sale and is offering 5%
: annual interest on new jet ski loans for 36, 48 or 60 months. The maximum
: amount Hannah can budget for her monthly jet ski payment is $275. of the
: following loan amounts, which one is the maximum Hannah can borrow at 5%
: annual interest and stay within her budget?
: (A) $10,000
: (B) $13,000
: (C) $14,000
: (D) $15,000
: (E) $20,000
: Ans: D
題目求能貸得的最大金額,即為找利息最低者
5%利率中,以60月期利息最低,為17.77元
能貸得之最大金額為1000*(275/17.77)=15475
答案中小於該金額之最大值為15000
: 3. Another dealership is offering 3-year loans with an annual interest rate
: of 11%. hannah uses her chart to estimate the payment per $1,000 borrowed. Of
: the following, which is most likely the monthly payment per $1,000 borrowed?
: (A) $31,48
: (B) $31,64
: (C) $31,85
: (D) $32,00
: (E) $32.34
: Ans:B
此題要估計三年期,即36月期貸款,在利率11%之利息
可直接求10%利息31.17和12%利息32.11之平均為31.64元
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