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一道数学题,请解答,多谢! 10
Liam'sgoalistosave$20,000.Whatprincipalinvestedfor5yearsat6%perannum,compoundedsemi-a...
Liam's goal is to save $20,000. What principal invested for 5 years at 6% per annum, compounded semi-annually, then for the next 3 years at 6.5% per annum, compounded quarterly, achieves this goal in 8 years?
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liam想省20000元。前五年年利率6%,后三年年利率6.5%,问8年时间如何达到这个目标?
解:设需存款X元,
x(1+6%)^6(1+6.5%)^3=x+20000→x=28030.8=28031元
解:设需存款X元,
x(1+6%)^6(1+6.5%)^3=x+20000→x=28030.8=28031元
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providing principal is x
then in five and a half years, principal wil be x*(1+0.06)^5*(1+0.06/2)
in the next three and a quarter years, principal wil be x*(1+0.06)^5*(1+0.06/2)*(1+0.065)^3*(1+0.065/4)
then save x*(1+0.06)^5*(1+0.06/2)*(1+0.065)^3*(1+0.065/4)-x=20000
x=28,901
then in five and a half years, principal wil be x*(1+0.06)^5*(1+0.06/2)
in the next three and a quarter years, principal wil be x*(1+0.06)^5*(1+0.06/2)*(1+0.065)^3*(1+0.065/4)
then save x*(1+0.06)^5*(1+0.06/2)*(1+0.065)^3*(1+0.065/4)-x=20000
x=28,901
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楼上写的计息频率是错的,这里回答不方便,如果需要,直接点我,我帮你解答~
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