Answer: Philip can earn back his initial investment in 12.4 years
Step-by-step explanation:
Amount Invested by Philips in period annuity = 800,000
Annual Percentage Rate (APR) = 5.2%
APR compounded monthly for a period of 20 years.
Amount to be received per annuity period = 800,000 * (((1+(0.052/12))^240)*(0.052/12))/(((1+0.052/12))^240)-1)
= 5368.43
Time taken ( in months ) by Philip to earn back his initial investment = 800,000/5368.43 = 149.02 months
Time taken ( in years ) by Philip to earn back his initial investment = 149.02/12 = 12.4 years
Hope it helps.
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Answer:
The estimate for the proportion of Americans over 33 who smoke is 0.28.
Step-by-step explanation:
Proportion of Americans over 33 who smoke.
Number who smoke divided by the size of the sample.
In this question:
Sample of 1267.
913 don't smoke, so 1267 - 913 = 354 smoke. Then

The estimate for the proportion of Americans over 33 who smoke is 0.28.
Answer: |81-x|<5
Step-by-step explanation:
Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.
Temperature in the enclosure should not vary by more than 5° F.
Let x= Temperature in the enclosure
Then, difference between average and current temperature should less the 5.
i.e. |81-x|<5 (required absolute value equation )
hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:
|81-x|<5
Answer:
y = -2x - 3
Step-by-step explanation: