The present value at j12 of a $10,000 payment today, followed by 32 monthly payments of $5000 is $136,335.69. What is the present value of 33 monthly payments of $2000, first payment made today, if these payments earn the same interest rate, j12?

Lindsay is creating a bridge out of dried pasta and glue. in her plans, she sketches the graph to determine the lengths of the noodles, in centimeters, needed for the arch to increase the length of the bridge in 1 centimeter increments. which function did lindsay use to create her design? f(x) = (x – 5)2 + 8 f(x) = –(x + 5)2 + 8 f(x) = 0.5(x + 5)2 + 8 f(x) = –0.5(x – 5)2 + 8

What is the value of x? enter your answer in the box. x =

The table shown below gives the approximate enrollment at the university of michigan every fifty years. how many more students were enrolled at the university of michigan in 1950 than in 1900?