Answer: $40
Step-by-step explanation:
The key formula to use for this problem is the simple interest formula, which is 
; where I is the interest earned, p is the principal (initial) amount, r is the interest rate, and t is the amount of time that passes.
Since we know that both investments have the same interest rate, we can use the information from the first part of the problem to solve for the interest rate. Using algebra, we can rearrange the simple interest formula to solve for the interest rate: 
. We know that our interest earned is $24 and our principal amount is $300. To make things easier, we'll also convert months to years, which is easy to do since we know that 12 months = 1 year. This gives us our value for the amount of time that passes. Now, all we have to do is plug in our values into the rearranged equation above.
We should now have: 
Now, to find the interest earned from the $500 investment, we just need to plug in our values from the second part of the problem, along with our calculated interest rate of 0.08, into the original formula of
This should result in 
Therefore, James will receive $40 on his $500 investment after 12 months.
6.5 is equal to 65/10 the reciprocal of that is 10/65=2/13
Answer:
34 minutes
Step-by-step explanation:
Given
Required
Number of minutes left to spend (x)
Since there's only 1 minute left to spend on every other call;
Time left = x * 1
Time left = x
The required can further be calculated using:
This gives:
Subtract 6 from both sides
<em>Hence, there are 34 minutes left to spend</em>
(C)
Step-by-step explanation:
The volume of the conical pile is given by
Taking the derivative of V with respect to time, we get
Since r is always equal to h, we can set
so that our expression for dV/dt becomes
Solving for dh/dt, we get
