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alina1380 [7]
3 years ago
6

Let g represent the minimum amount of money Jamie needs to earn to pay his bills. Jamie works part time at an accounting firm. H

e gets paid by the task: the more difficult the job, the more money he earns, Jamie needs to earn $875 to pay his bills. This week, he completed five tasks that aid $80, $75, $145, $250, and $80, respectively. Jamie has one more task to complete What is the minimum amount he needs to earn on his last task to pay his bills?
Mathematics
1 answer:
inessss [21]3 years ago
7 0

Jamie has earned $80 +75 +145 +250 +80 = $630 so far this week. He needs to earn an additional $875 -630 = $245 to pay his bills.

If Jamie only has one last task, he must earn $245 on that task to pay his bills this week.

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Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

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h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

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