Arecently-installed machine earns the company revenue at acontinuous rate of 60,000t + 45,000 dollars per year during thefirst six months of operation and at the continuous rate of 75,000dollars per year after the first six months. the cost of themachine is $150,000, the interest rate is 7% per year, compoundedcontinuously, and t id time in years since the machine wasinstalled.(a) find the present value of the revenue earned by themachine during the first year of operation.(b) find how long it will take for the machine to pay foritself; that is, how long will it take for the present valueof the revenue to equal the cost of the machine?

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

x-3y=4

step-by-step e

5

step-by-step explanation: