Answer:
94 years
Step-by-step explanation:
We can approach the solution using the compound interest equation

Given data
P= $40,000
A= $120,000
r= 1.25%= 1.25/100= 0.0125
substituting and solving for t we have

dividing both sides by 40,000 we have

dividing both sides by 0.005 we have

The expected value of health care without insurance is $437.25.
The expected value of health care with insurance is $1,636.40.
<h3>What are the expected values?</h3>
The expected values can be determined by multiplying the respective probabilities by its associated costs.
The expected value of health care without insurance = (1 x 0) + (0.32 x 1050) + (0.45 x $225) = $437.25.
The expected value of health care with insurance = (1 x 1580) + (0.32 x 75) + (0.45 x $72) = $1,636.40.
To learn more about multiplication, please check: brainly.com/question/13814687
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Your middle finger and index/pointer.
Unusual notation. I won't fuss with it.
a. We have isosceles PRT, so angle RPT = angle RTP.
By the definition of angle bisector, angle MTP = angle MTF, and angle MPT = angle MPU.
We have m angle RTP = m angle MTF + m angle MTP = 2 m angle MTP
Similarly, m angle RPT = 2 m angle MPT
2 m angle MTP = 2 m angle MPT
angle MPT = angle MPT
That's the first part.
b. That makes MPT isosceles.
c. 2x+124=180
2x = 56
x = 28 degrees
MTP = 28 degrees
d. We have angle RPT=angle RTP=56 so PRT=180-2(56)=68 degrees
PUT = 180 - UTP - UPT = 180 - 28 - 56 = 96 degrees
Bad drawing, PUT looks acute.
angle PRT = 68 degrees, angle PUT = 96 degrees