The average salary (in thousands of dollars) at a certain company for the first ten years of its existence can be approximated by the model S = 0.2t2 + 2.1t + 32.5, 0 t 10. How many years did it take for the average salary to reach $41,000? Round the answer to the nearest hundredth of a year.

3.12years

Step-by-step explanation:

Given the average salary (in thousands of dollars) at a certain company for the first ten years of its existence approximated by the model

S = 0.2t² + 2.1t + 32.5,

To calculate the years it take for the average salary to reach $41,000, we will substitute s = 41000 and calculate for t

41 = 0.2t² + 2.1t + 32.5

Multiply through by 10

410 = 2t²+21t+325

2t²+21t+325 = 410

2t²+21t+325-410= 0

2t²+21t-85 = 0

On factorizing:

t = -21±√21²-4(2)(-85)/2(2)

t = -21±√441+680/4

t = -21±√1121/4

t = -21+33.48/4

t = 12.48/4

t = 3.12

Hence the number of years to average hundredth of a year is 3.12years

5.6%

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet