David borrowed $120,000 for his business to be repaid in six equal annual installment. the lender charges 6.5 percent interest on the amount of the loan balance that is outstanding at the beginning of each year. the interest component in the amount of the annual installment will be the smallest at the end of:

Interest will be the smallest at the sixth instalment which is $859.2033.

Step-by-step explanation:

Amount borrowed: $120,000

Instalments: 6

Amount paid each year: 120,000/6 = $20,000

Interest: 6.5%

Formula to calculate each instalment = yearly instalment+(amount borrowed * interest)

Formula to calculate outstanding amount = Amount borrowed - previous instalment

First instalment: 20,000 + (120,000 x 6.5%) = $ 27,800

Outstanding amount = 120,000-27800 = $112,200

Second instalment: 20,000 + (112,200 x 6.5%) = $27,293

Outstanding amount = 112,200-27,293 = $84,907

Third instalment: 20,000 + (84,907 x 6.5%) = $25,518.955

Outstanding amount = 84,907-25518.955 = $59,389

Fourth instalment: 20,000 + (59,388.045 x 6.5%) = $23,860.223

Outstanding amount = 59,388.045-23,860.223 = $35527.822

Fifth instalment: 20,000 + (35,527.822 x 6.5%) = $22309.30843

Outstanding amount: 35,527.822-22309.30843 = $13218.51357

Sixth instalment: 20,000 + (13218.51357 x 6.5%) = $20,859.2033

Interest will be the smallest at the sixth instalment which is $859.2033.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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i pretty sure it is