Tim has just inherited £1000 and he decides not to invest it but rather to spend 10% of the remaining money each month. each month tim's saving thus reduce by a factor of 0.9 calculate, to the nearest integer, the amount remaining (in e) after 20 months. you may find it useful to first devise a formula for the amount remaining after n months. enter your answer, to the nearest integer and without units, in the box below.

£ 121.57

Step-by-step explanation:

As given in question,

Total amount inherited by Tim = £1000

He spends each month = 10 % of remaining money

savings reduced each month = 0.9 of remaining amount

So, the amount of money after one month = 0.9 x £1000

 amount of money remained after 2 months = 0.9 x 0.9 x £1000

amount of money remained after 3 months = 0.9 x 0.9 x 0.9 x £1000

Hence, the amount of money remained after the n months can be given by,

Hence, amount of money remained after 20 months can be given by,

            = £ 121.57

So, the amount of money remained after 20 months will be £ 121.57.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

∠cbe and ∠deb are same-side interior angles.

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