Vince took out a \( \$ 500 \) loan to buy a new couch. He paid back the loan in 2 years and paid a total of \( \$ 570 \). What was the simple interest rate for his loan?

Evaluate the following expressions. Your answer must be an angle in radians and in the interval \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \) (a) \( \sin ^{-1}(1)=\square \) (b) \( \sin ^{-1}\left(-\frac{\sqrt{2}}{2}\right)=\square \) (c) \( \sin ^{-1}\left(-\frac{1}{2}\right)=\square \)

13. \( P \propto \sqrt{y} \) and \( P=77 \) when \( y=121 \). Find the law connecting \( P \) and \( y \). Find \( P \) when \( y=144 \). Also, find \( y \) when \( P=22 \). 14. \( O \) varies inversely as \( z \). If \( Q=7 \) when \( z=15 \), find

CCSS Use Math Tools The table shov of various marine and land animals. a. Which animal is about 10 times ligh right whale? b. About how many times heavier is tl than the African elephant? c. Estimate the combined weight of tl right whale, and white rhinoceros. combined weight in scientific nota standard form.

Calculeaza: \( \sqrt[4]{7^{3} 2^{2}} \cdot \sqrt[4]{7^{2} 2^{3}} ; \quad \sqrt{64 \sqrt[3]{8}} ; \sqrt[4]{7^{2}} \cdot \sqrt{28} ; \quad \frac{\sqrt[2]{2^{6}}}{\sqrt[2]{128}} ; \frac{\sqrt{128} \cdot \sqrt[3]{32}}{\sqrt{81} \cdot \sqrt[3]{64}} ; \)

\( 2 a^{2}+2 a+1 \) pon \( -2-2 a+2 a^{2} \)