Find the sum to infinite of the series 1 + cos x +cos^2 x + cos^3 x..., where equals to 45 degree

Step-by-step explanation:

we can model the expression for the inequality as

given the flat rate is $3

let the additional mile be x

hence

3+0.05x<10

step two:

let us proceed to solve for x

3+0.05x<10

0.05x<10-3

0.05x<7

divide both sides by 0.05

x<7/0.05

x<140    

let us plug in 15 into the expression and see if the cost is under $10

3+0.05(15)<10

3+0.75<10

3.75<10

from the analysis, carl will have to take the taxi since cost is less than $10 i.e $3.75