Given:
Principal amount = $2000
Rate of interest = 3.5% compounded quarterly.
Time = 6 years
To find:
The amount after 6 years.
Solution:
The formula for amount after compound interest is:

Where, P is principal, r is rate of interest in decimal, n is the number of time interest compounded in an year and t is the number of years.
The interest is compounded quarterly, so
.
Substituting
, we get




Approximate the value to the nearest hundredth.

The amount after 6 years us $2465.10. Therefore, the correct option is A.
Answer:
6) 7, 14, 28, 54 - geometric sequence
( multiplication with 2 )
7) 1000, 200, 40, 8 - geometric sequence
( division by 5 )
8) 7, 14, 21, 28 - Arithmetic sequence
( addition of 7 )
Answer:
He took 5 swimming classes.
Step-by-step explanation:
The problem states that the student paid a total of $56.25 for the classes and also the one-time registration fee. To find the number of classes, we should first subtract the one-time registration fee from the total.
$56.25 - $12.50 = $43.75
Now that we know he spent a total of $43.75 on the classes without the registration fee, we can divide that number by the cost of one class ($8.75) to calculate the total number of classes he took.
43.75 / 8.75 = 5
To write a line that is perpendicular you have flip the slope and change the sign so it would be -1/2, then you carry on like normal. So the answer is:
y-6= -1/2(x-9)
The answer is either to change the - 1 to 0, or to add + 1 to it next to the - 1.