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In 1999,the student enrollment at a college was 10% more than it was in 1998. If the enrollment was 29700 in 2000, which was 8% more than 1999. Find the enrollment in 1998

Respuesta :

abiolaraymond1995

Answer:

25000

Step-by-step explanation:

Let enrollment be represented by E.

E(1999) = [tex]\frac{10}{100}*E(1998) +E(1998)[/tex]

E(1999)=1.1E(1998)   ............................equation 1

E(2000)= 0.08E(1999)+E(1999)

E(2000)=1.08E(1999)

enrollment in 2000, E(2000) is 29700.

29700 = 1.08E(1999)

E(1999) =29700/1.08

E(1999) =27500

from equation 1;

E(1999)=1.1E(1998)

27500 = 1.1E(1998)

E(1998) =27500/1.1

E(1998) = 25000

Enrollment in 1998 = 25000