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?

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

180°

step-by-step explanation:

sum of equilateral triangle=180°

< n=60°

< m=120°°[angle supplementary of equilateral angle]

< m+< r+< x=360°(sum of exterior angle of triangle)