Question

某醫(yī)院購買一臺(tái)醫(yī)療設(shè)備價(jià)格為a萬元,實(shí)行分期付款,每期付款數(shù)相同,每月為一期,如果按月利率8‰,每月復(fù)利一次,若6個(gè)月付清,共付x萬元,若12個(gè)月付清,共付y萬元,則x、y滿足(    )

A.x=y             B.x＜y                    C.x＞y             D.x≥y

Answer 1

B

解析:甲共付x=(1+8‰)⁶+(1+8‰)⁵+…+(1+8‰)

=×126×(1.008⁶-1)

≈1.028 4a(萬元);

乙共付y=(1+8‰)¹²+(1+8‰)¹¹+…+(1+8‰)

=×126×(1.008¹²-1)

≈1.053 6a(萬元).

∴x＜y.選B.