Respuesta :
We have the lease of a building is for 10 years with an annual rent of $48 000.
We first determine the 7.5% for the first 5 years, for that we add the cost of the rent for 5 years, that is:
[tex]5(48000)=240000[/tex]In 5 years the rent will be of $240 000, now we find the 7.5%:
[tex]c_5=\frac{240000\cdot7.5}{100}\Rightarrow c_5=18000[/tex]Her commision for the first 5 years is going to be of $18 000.
Now we determine the 5% for the next 3 years, for this we determine the rent for 3 years:
[tex]3(48000)=144000[/tex]The rent for 3 years adds $144 000, now we determine the 5%:
[tex]c_3=\frac{144000\cdot5}{100}\Rightarrow c_3=7200[/tex]From this we have that the commission for the next 3 years will be of $7200.
And finally, we determine the rent for the two remaining years:
[tex]2(48000)=96000[/tex]We have that the last two years the rent will be of $96000, now we determine the 3.5% of her commission during that time:
[tex]c_2=\frac{96000\cdot3.5}{100}\Rightarrow c_2=3360[/tex]From this we have her commission for the last two years will be of $3360.
Finally we add all of the values of the commissions she will get:
[tex]c_t=18000+7200+3360\Rightarrow c_t=28560[/tex]From this we have that the total commision money she will be getting during those 10 years will be $28 560.
