The college’s van used for student club activities was in an accident. the deductible on the policy is $200. and the damages were $ 2,953.96. what was the amount the insurance paid the body shop?

The amount the insurance paid = $2753.96

Step-by-step explanation:

Given,

Deductible on policy = $200

Total damage cost = $2953.96

The amount the insurance paid = $2953.96 - $200

The amount the insurance paid = $2753.96

Percentage amount paid by the insurance = (2753.96 / 2953.96 )× 100

Percentage amount paid by the insurance = 93.259%

Population decay where rate of decay is proportional to the population present

Step-by-step explanation:

Given that

Here N (t) represents the population or amount of bacteria present at time t.

N0 represents the initial population or N(0)

Since e has negative exponent, there is population decay and not expansion.

l, the coefficient of t in the exponent of e is the factor which represents the rate of decay

Whenever decay is proportional to the population present at that time, we get this equation.

N'=-lN

Separate the variables and integrate to get