Simply Savings Bank offers a simple interest rate of 10% per year. Compound Capital Bank offers an interest rate of 8% per year compounded continuously. If Shakira plans to invest $200 for 5 years, which bank should she choose?

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

Step-by-step explanation:

A simple interest rate account yields a return that follows the formula below:

Where C is the invested money, r is the interest rate and t is the elapsed time in years.

While a compound interest rate account yields a return that follows the formula below:

Therefore for the Simply Saving Bank she'll earn:

While the Capital Bank she'll earn:

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

b, i believe, but not sure.