The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $300
i = 0.02 x $300
i = $6

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{8\sqrt{10}}{4\sqrt{2}} \)
\( \frac{8}{4} \) \( \sqrt{\frac{10}{2}} \)
2 \( \sqrt{5} \)

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-4x^7}{3x^4} \)
\( \frac{-4}{3} \) x^{(7 - 4)}
-1\(\frac{1}{3}\)x³

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

3,178,000 in scientific notation is 3.178 x 10⁶

If the tiger has consumed 45 pounds of food in 9 days that's \( \frac{45}{9} \) = 5 pounds of food per day. The tiger needs to consume 70 - 45 = 25 more pounds of food to reach 70 pounds total. At 5 pounds of food per day that's \( \frac{25}{5} \) = 5 more days.