A person places $686 in an investment account earning an annual rate of 3.8%, compounded continuously. Using the formula V = Pe^
1 answer:
Answer:
V = $1213.03
Step-by-step explanation:
We can determine the amount of money after 15 years with the given formula:
(1)
Where:
V: is the value of the account in t years =?
P: is the principal initially invested = $686
r: is the rate of interest = 3.8% = 3.8/100 = 0.038
t: is the time = 15 years
By substituting the above values into equation (1) we have:
Therefore, the amount of money is $1213.03.
I hope it helps you!
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Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.