Question

hi! i need help understanding how to do this problem. Could you also explain what an intermediate value is?

Answer 1

`s\:=12000\left((\left(\left(1+(0.06)/(2)\right)^(16)-1\right))/((0.06)/(2))\right)\:`
`(\left(1+(0.06)/(2)\right)^(16)-1)/((0.06)/(2))=(\left(\left(1+(0.06)/(2)\right)^(16)-1\right)\cdot\:2)/(0.06)`
`\left(1+(0.06)/(2)\right)^(16)=\text{ }((1\cdot\:2)/(2)+(0.06)/(2))^(16)=\left((2.06)/(2)\right)^(16)=(105166.04119)/(65536)`
`s=12000\cdot(2\cdot(39630.04119)/(65536))/(0.06)`
`s=(951120988.62667)/(3932.16)\quad\left(\mathrm{Decimal}:\quad s=241882.57563\right)`

The "intermediate values" in this question means that when performing all calculation you should not round any values of the intermediate steps.

The answer is s=241882.57563 = 241883