Howard must decide if he will purchase discount points for his mortgage. Two discount points which cost 2% of the mortgage amount will result in a 0.5% decrease in the interest rate. The terms of the mortgage are shown below.

Howard's Mortgage $423,000 30 year fixed 4.5% annual rate 2 discount points M $2,143 28 5% annual rate 0 discount points M = $2.270 76

Howard plans to stay in his house for about five years. Should Howard purchase the two discount points? Explain your reasoning.

answer: a clock

step-by-step explanation:

the answer is d. (1.2, -4.7) on edgn

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8496 cars

step-by-step explanation:

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: