The table below. shows last year's gross income, standard
deduction, and number of exemptions for four different
workers.
number of exemptions at
$3650 each
gross
income
esther $45,788
frank $47,612
macy $41,967
penny $52,785
standard
deduction
$5700
$8350
$5700
$8350
assuming that each worker used the standard deduction and
that none of the workers had any additional adjustments,
which worker had the lowest taxable income last year?
o a. frank
o b: esther
ос. масу
o d. penny

In the diagram below, tan θ = sqrt 3. what is the value of m?

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

(50 ) mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.