Joel is considering putting a \( \$ 3100 \) laptop purchase on his credit card, which has an interest rate of \( 2.25 \% \) compounded monthly. How long will it take him to pay off the purchase if he makes monthly payments of \( \$ 25 \) ? Round your answer to the nearest tenth of a year.

Simplify the expression and write the answer with positive exponents only. \( \left(6 y^{4} b^{-7}\right)\left(3 y^{-5} b^{8}\right) \)

Fill in the blanks of the table that shows logarithmic growth base 6 . -

Write an equivalent logarithmic equation for the following exponential equations and solve for \( x \). Leave your answers in logarithmic form. a. \( 2^{5 x+1}=3 \) \( x=\square \) b. \( 5^{2 x+5}=4 \) \( x=\square \) c. \( 3^{3 x-5}=1 \) \( x=\square \)

Convert the measurement to the units specified. Round your answer to the nearest tenth. 4) 37 liters to gallons 5) 99 kilometers per hour to miles per hour? What about in miles per minute? 6) 2900 square yards to square meters

14. \( \int \frac{4 s}{\left(1-2 s^{2}\right)^{2}} d s=\frac{1}{1-2 s^{2}}+C \)