Calculate: 26.7* (1-(1+0.43)^{-5})/(0.43)+(3000)/((1+0.43)^5)

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  3. Calculate: 26.7* (1-(1+0.43)^{-5})/(0.43)+(3000)/((1+0.43)^5)

Expression: $26.7\times \frac{1-(1+0.43)^{-5}}{0.43}+\frac{3000}{(1+0.43)^{5}}$

$\frac{1-(1+0.43)^{-5}}{0.43}=\frac{0.83276…}{0.43}$

$=26.7\times \frac{0.83276…}{0.43}+\frac{3000}{(1+0.43)^{5}}$

Add the numbers: $ 1+0.43=1.43$

$=26.7\times \frac{0.83276…}{0.43}+\frac{3000}{1.43^{5}}$

$26.7\times \frac{0.83276…}{0.43}=51.70907…$

$=51.70907…$

$\frac{3000}{1.43^{5}}=501.69649…$

$=51.70907…+501.69649…$

Add the numbers: $ 51.70907…+501.69649…=553.40556…$

$=553.40556…$

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