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question:Assuming a Swiss franc (CHF) annual interest rate of 8% and an expected appreciation of 6% against the US dollar, what is the effective financing rate for a US borrower when borrowing in Swiss francs?

answer:The effective financing rate can be calculated as follows: {eq}begin{align*} text{Effective financing rate} &= left( 1 + text{Interest rate in CHF} right) times left( 1 + left( text{Expected exchange rate change} right) right) - 1 &= left( 1 + 0.08 right) times left( 1 + left( -0.06 right) right) - 1 &= 1.08 times 0.94 - 1 &= 1.52% end{align*}{/eq} Hence, the correct answer is C. 1.52%.

question:Find all real solutions to the equation frac{log (x+9)}{log (7)}+frac{log (22 x+21)}{log (7)}=frac{log (2-10 x)}{log (7)}.

answer:Given equation: frac{log (x+9)}{log (7)}+frac{log (22 x+21)}{log (7)}=frac{log (2-10 x)}{log (7)} Simplify the equation by dividing both sides by log (7): frac{log (x+9)}{log (7)}+frac{log (22 x+21)}{log (7)}=frac{log (2-10 x)}{log (7)} Rightarrow log (x+9)+log (22 x+21)=log (2-10 x) Rightarrow log [(x+9)(22 x+21)]=log (2-10 x) Rightarrow (x+9)(22 x+21)=2-10 x Rightarrow 242 x^2+462 x+189=2-10 x Rightarrow 242 x^2+472 x+187=0 Rightarrow 121 x^2+236 x+93.5=0 Rightarrow (11 x+13)(11 x+7)=0 Rightarrow x=-frac{13}{11}, x=-frac{7}{11} However, x=-frac{13}{11} does not satisfy the original equation, so we discard it. Therefore, the only real solution is x=-frac{7}{11}. The answer is left{xto frac{1}{44} left(-229-sqrt{35985}right)right},left{xto frac{1}{44} left(-229+sqrt{35985}right)right}

question:Find the roots of the polynomial 3x^2 - frac{11x}{2} - 7.

answer:To find the roots of the polynomial, we can use the quadratic formula: x = frac{-b pm sqrt{b^2 - 4ac}}{2a} where a, b, and c are the coefficients of the polynomial. In this case, a = 3, b = -frac{11}{2}, and c = -7. Substituting these values into the quadratic formula, we get: x = frac{-left(-frac{11}{2}right) pm sqrt{left(-frac{11}{2}right)^2 - 4(3)(-7)}}{2(3)} Simplifying this expression, we get: x = frac{frac{11}{2} pm sqrt{frac{121}{4} + 84}}{6} x = frac{frac{11}{2} pm sqrt{frac{457}{4}}}{6} x = frac{frac{11}{2} pm frac{sqrt{457}}{2}}{6} x = frac{11 pm sqrt{457}}{12} Therefore, the roots of the polynomial are x = frac{1}{12} (11 - sqrt{457}) and x = frac{1}{12} (11 + sqrt{457}). The roots of the polynomial are x = frac{1}{12} (11 - sqrt{457}) and x = frac{1}{12} (11 + sqrt{457}).

question:What evolutionary mechanism results in the rapid diversification of a single ancestral species into multiple new forms, often exploiting newly available ecological niches?

answer:Adaptive radiation

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