Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.
<em><u>Explanation</u></em>
Suppose, the amount of money at 6% interest is
As Paul has total $40000 to invest, so the amount of money at 10% interest will be: 
His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.
I hope this helps you
68,25=(9+12).h/2
2.68,25=21.h
136,5/21=h
h=6,5
Answer:
480 mm³
Step-by-step explanation:
The volume (V) of a pyramid is
V =
area of base × height, hence
V =
× 96 × 15 = 32 × 15 = 480
Answer:
144
Step-by-step explanation:
Answer:
The differential equation is 
Step-by-step explanation:
Differential equation for the rate of change in radiation level:
Radiation level is R.
Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.
Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:
