Alex took out a 7/1 variable-rate mortgage for $140,000. The interest rate for the first period was fixed at 5.25%, and the loan was amortized over 30 years. At the end of the initial loan period, the interest rate was 6.75%, plus a 1.5% margin. What was Alex's monthly mortgage payment during the initial fixed-rate period?

Find the value of x for which the lines are parallel.

Emily is entering a bicycle race for charity. her mother pledges $0.90 for every 0.75 mile she bikes. if emily bikes 18 miles, how much will her mother donate?

Afactory buys 10% of its components from suppliers b and the rest from supplier c. it is known that 6% of the components it buys are faulty. of the components brought from suppliers a,9% are faulty and of the components bought from suppliers b, 3% are faulty. find the percentage of components bought from supplier c that are faulty.