Mr. nakamora wants to test the accuracy of an old balance in his classroom compared to a brand new balance that he knows is accurate. he weighs an objec on the old balance and finds it to have a mass of 15.6 grams. the same object weighs 15.9 grams on the brand-new balance. what is the percent error between the old and new balance?

Percentage error between the old and the new balance is 1.89 %

Explanation:

Mr. Nakamora weighs an object on the old balance and finds it to have a mass of 15.6 grams. The same object weighs 15.9 grams on the brand-new balance.

The weight of an object in old balance, w₁ = 15.6 g

The weight of an object in new balance, w₂ = 15.9 g

Percentage error between the old and new balance is given by :

or

Hence, this is the required solution.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.