You want to put some money into a simple interest account. it pays 5% interest annually for 4 years. you would like to earn $600 in interest. how much money do you need to put in?

We will use the formula for simple interest.

I = PRT

where I is interest, P is principal, R is rate of interest and T is time.

P = I / RT

P =  600 / 4 × 5%

We need to write 5% as a decimal fraction → 5/100 = 0.05

Therefore,

P = 600 / 4 × 0.05

P = 600 / 0.2

p = 3000

You would need to put in $ 3000  in order to earn a $ 600 interest after 4 years at the annual interest rate of 5%.

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:

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