If Lamont withdraws $2,750 monthly, he will be <u>66 years old</u> (after 134.326 months) when the money runs out.
<h3>How is the number of monthly withdrawals calculated?</h3>
We can calculate the number of monthly withdrawals using an online finance calculator.
It determines the number of periods it will take for the investment to be exhausted, given an interest rate of 3.8%.
I/Y (Interest per year) = 3.8%
PV (Present Value) = $300,500
PMT (Periodic Payment) = $-2750
FV (Future Value) = $0
<u>Results</u>:
N = 134.326 months
Years = 11 years (134.326/12)
Age at FV = $0 is 66 years (55 + 11)
Sum of all periodic payments = $-369,397.09 (134.326 x $-2,750)
Total Interest = $68,897.09
Thus, making a monthly withdrawal of $2,750 will exhaust the investment when Lamont turns <u>66</u>.
Learn more about periodic withdrawals and payments at brainly.com/question/13031679
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Answer:
It will take 1 hour and 12 minutes for the two trains to be 192 miles apart
Step-by-step explanation:
The total distance between the two trains is the distance traveled by both trains. The distance traveled by the eastbound train is 85 mph * elapsed time and the distance traveled by the westbound train is 75 * elapsed time.
The combined formula is distance traveled = speed of first train * elapsed time + speed of second train * elapsed time.
Since the elapsed time is equal for both trains then the formula is modified as distance traveled = (speed of first train + speed of second train) * elapsed time.
Solving for the elapsed time
distance traveled = (speed of first train + speed of second train) * elapsed time
192 miles = (85mph + 75 mph) * elapsed time
192 miles = 160 mph * elapsed time
elapsed time = 192 miles / 160 mph
elapsed time = 1.2 hours
elapsed time = 1 hour and 12 minutes
It will take 1 hour and 12 minutes for the two trains to be 192 miles apart.
Answer:
x=28
Step-by-step explanation:
180-42=138 since a triangle adds up to 180
2x+10+3x-12=138 then combine like terms
5x-2=138 add 2 to both sides
5x=140 divide each side by 5
x=28
First off, the formula for finding the volume of a cylinder is: V=pi × radius² × height
So, because the diameter is 8 inches, to find radius, we just divide by 2 so R=8÷2=4. The radius is 4 inches.
Then because it said that the height is 3 times the radius, 3×4=12. The height is 12 inches.
Now, we can plug in our information and use the formula to find the volume (V=pi × r² × h) :
V= 3.14×4²×12
=3.14×16×12
=608.88 cubic cm ( it can also be written 608.88 cm³)
And there you have the volume. (If this is wrong, then I apologize. I'm pretty sure it's correct tho. If it is wrong, I'll be happy to try to solve it again for you.)
Answer:
Step-by-step explanation:
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