Assume that you have a balance of $4000 on your credit card and that you make no more charges. If your APR is 23.9% and each month you make only the minimum payment of 5% of your balance, then when is the first time that the balance would be less than $100?

The balance will be less than $100 after 44 months payment

Explanation:

In this question, we are asked to calculate the time at which the Balance on a credit card would be less than $100.

To calculate this, we proceed as follows;

The monthly Interest rate = 23.9%/12 = 1.99166667%

Balance after t months = Credit Card balance * [(1 + Monthly interest rate ) * (1- Minimum payment rate)]^t

The credit card balance is $4,000, and the minimum payment rate is 5%

We plug these values into the equation to get;

$4,000 * [(1+1.99166667%) * (1 - 5%)]^t

= $4000 *[1.0199166667 * 0.95]^t

= $4000 * (0.968920836)^t

Balance after t months < 100

$4,000 * (0.968920836)^t < 100

(0.968920836)^t < 0.025

t = 43.9 months = 44 months

answer: a. the kind of population living in your neighbourhood.

the census explorer data tool by the us census bureau allows the user to zoom in on any neighbourhood within the united states and find the kind of people residing in that by race and age.  

the tool needs to needs to be used twice – once in order to find what type of people reside in a neighbourhood, and then to see the age groups of the people in the same neighbourhood.