On mike's 1st birthday, a savings account is opened for him containing $10,000. on his 5th birthday the account has grown to $13,500 and $1,000 is added. on his 13th birthday, the account has grown to $17,000 and $2,000 is added. on his 16th birthday, he withdraws $5,000 to buy a car, leaving balance of $15,000. on his 18th birthday, his account contains $16,500, which he will use for college. no other deposits or withdrawals are made. calculate the time-weight ed rate of return over the 17-year period. (a) less than 0.05 (b) at least 0.05, but less than 0.30 (c) at least 0.30, but less than 0.55 (d) at least 0.55, but less than 0.80 (e) at least 0.80

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step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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step-by-step explanation: