You save $15000. you place one third in a savings account earning 4.6% apr compounded annually. you then invest one quarter of the remaining balance in a 3 year u. s treasury bond earning 5.2 apr compounded annually and the rest in a stock plan. your stock plan increases in value 3% the first year decrease 8%in value the second year and increases 6% in value in the third year. what are the balances for each account by the end of the third year and the total gain in your original saved amount

Given initial savings are 15,000 dollars.

It says to place one-third in an account with 4.6% APR compounded annually. So we invest $5,000 in this account.

Amount after 3 years = 15000(1+0.046)³ = 17,166.68 dollars.

Remaining Balance = 15,000 - 5,000 = 10,000 dollars.

It says to place one-quarter of the remaining balance into 3-year bond with 5.2% APR compounded annually. So we invest $2,500 in this bond.

Bond's value after 3 years = 2500(1+0.052)³ = 2,910.63 dollars.

Remaining Balance = 10,000 - 2,500 = 7,500 dollars.

It says to invest rest in a stock that increases in value 3% the first year; decrease 8% in value the second year; and increases 6% in value in the third year.

Stock's value after 3 years = 7500×(103%)×(92%)×(106%) = 7500 x 1.03 x 0.92 x 1.06 = 7,533.42 dollars.

Total amount after 3 years = Saving Account + Bond value + Stock value = 17,166.68 + 2,910.63 + 7,533.42 = 27,610.73 dollars.

Total Gain in the original savings = 27,610.73 - 15,000 = 12,610.73 dollars

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.

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x=0.8898305 is the answer to that equation