The Rule of 72 is a shortcut method to find the number of years to double your investment. This is only an estimation. This can be done by dividing 72 by the annual interest rate.
However, you are given a nominal rate since it is compounded annually. Let's convert this by this equation:
annual rate = (1+i/m)^m - 1, where m is the number of periods in a year. Thus, m=2
annual rate = (1 + 0.065/2)^2 -1 = 6.61%
Applying Rule of 72,
72 ÷ 6.61% = 10.89
This is where I found a problem. The answer here just directly divided 72 by 6.5% which will equal to 11.1 years. This is not accurate, since the given interest is compounded semi-annually. That is not an annual interest rate.
Nevertheless, the answer is still close to letter A.) 11.1 years.
Answer:
7/15
Step-by-step explanation:
it right i think if not srry :)
Volume of cylinder = πr²h = π x 4² x 6 = 96π
volume of cone = 1/3πR²H = 1/3π x 8² x 12 = 256π
You can see that volume of cone is more than twice of volume of cylinder. So she is not correct
Answer:
790 for surface area
1800 for volume
Step-by-step explanation:
Answer:
-3/2
Step-by-step explanation:
the slope of a line is expressed as ratio y/x showing how many units y changes, when x changes a certain number of units.
so, going from A to B, x changes 4 units (from -3 to +1), and y changes 6 units (down, from +3 to -3). that makes the y change negative.
so, the slope is
-6/4 = -3/2
