To help with her retirement savings, Rita has decided to invest. Assuming an interest rate of \( 3.46 \% \) compounded daily, how much would she have to invest to have \( \$ 117,300 \) after 17 years? Do not round any intermediate computations, and round your final answer to the nearest dollar. If necessary, refer to the list of financial formulas. Assume there are 365 days in each year.

The function \( f(x)=2 x^{3}-36 x^{2}+210 x+10 \) has one local minimum and one local maximum. Use a graph of the function to estimate these local extrema. This function has a local minimum at \( x=\square \) with output value and a local maximum at \( x=\square \) with output value

25. Walter van die volgende is 'n drieterm wanneer dit vereenvoudig word? A \( 2 x^{2}-x^{2}+0 \) B \( 3 x^{2}+2-x^{2} \) C \( x+3 x^{2}+2-4 x \) D \( 2 x^{0}+3+x+2 \)

Suppose that an object is dropped from a height of \( h \) meters and hits the ground with a velocity of \( v \) meters per second. Then \( v=\sqrt{19.6 h} \). If an object hits the ground with a velocity of 21.4 meters per second, from what height was it dropped? Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth.

A certain loan program offers an interest rate of \( 4 \% \), compounded continuously. Assuming no payments are made, how much would be owed after six years on a loan of \( \$ 1900 \) ? Do not round any intermediate computations, and round your answer to the nearest cent. If necessary, refer to the list of financial formulas.

The function \( f \) is defined below. \[ f(x)=\frac{x+8}{x^{2}-81} \] Find all values of \( x \) that are NOT in the domain of \( f \). If there is more than one value, separate them with commas.