A firm purchases a machinery for Nu. 800000 by making a down payment of Nu. 150000 and remainder in equal installment of Nu. 150000 for six years. What is the rate of interest to the firm? ​

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?

2f(x)= x+3 if 4 < x < 8 2x if x 28 2

Renee hiked for 6 3/4 miles. after resting, renee hiked back along the same route for 5 1/4 miles. how many more miles does renee need to hike to return to the place where she started? represent your answer as a simplified mixed number, if necessary.