In 1774, a man loaned an army $444,671 in gold and supplies. Due to a disagreement over the method of repayment, he was never repaid, dying penniless. In 1982, his descendants sued the government over the 208-year-old debt. If they used an interest rate of 5% and daily compounding, how much money did the family demand in their suit? (Hint Use the compound interest formula with n= 360 and t=208 years.) 1 Click the icon to view some finance formulas. Choose the correct answer below, rounding to the nearest dollar. O A. $15,349,739,415 B. $14,601,174,484 O C. $16,136,681,359 OD. $13,889,115,023

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4