The value of danielle's investments is modeled by the equation V (t)=3t^2+70t+100

where t represents the number of months after she made her initial investment. jeffrey has no money invested in stocks, but he deposits the same amount every month into a savings account that he opened at the same time as danielle. his savings account balance can be modeled by the equation V (t)=50t+275

after how many months will the value of danielle's investment be equal to jeffery's savings account?

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

At the "no mutants allowed" country farm, every sheep has 4 legs, every chicken has two legs, and all animals have only 1 head. asked to count how many sheep and chicken are in the fields, a farm boy reports back that there are 140 feet and 50 heads. how many sheep and chicken are there? there are sheep and chicken at the farm.

Carly stated, “all pairs of rectangles are dilations.” which pair of rectangles would prove that carly’s statement is incorrect?