The daily cost C (in dollars) for manufacturer to produce x electronic video components is given by C (x) = 1000 ln (3 √ 4 x 2 − 500)
If the manufacturer is currently producing 60 each day, by how much can the cost be expected to change if the production is increased by one component each day to 61 components each day?

Jack did 3/5 of all problems on his weekend homework before sunday. on sunday he solved 1/3 of what was left and the last 4 problems. how many problems were assigned for the weekend?

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?

What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3