Step-by-step explanation:
step 1. let's call the balance A, the initial amount P, the yearly rate r, the number of compounds yearly n, and the time t.
step 2. A = P(1 + r/n)^(nt) (compounding equation)
step 3. A = 8500(1 + .0178/12)^((12)(10))
step 4. A = 8500(1.00148334)^120
step 5. A = $10,154.68.
In order to calculate this, you need to solve :
x 100 %
= 0.2 / 9.87 x 100 %
= 2.02 %
Hope this helps
Step-by-step explanation:
since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be
side < 1 + 2 = 3
so,
side < 3
for a lower limit let's go through the cases
1 < 2 + side (is always true)
2 < 1 + side
1 < side (side must be larger than 1)
and again
side < 1 + 2 = 3
side < 3
so the full restriction for the third side is
1 < side < 3
We can write the question as a mathematical formula as follows:
1000 * 0.08 = m * 0.05 + c * 0.2
1000 = m + c
where m are pints of milk and c are pints of cream
So solving the first equation with m = 1000 - c
1000*0.08 = (1000-c)*0.05 + c*0.2
80 = 50 - 0.05c + 0.2c
80-50 = (0.2-0.05)*c
30 = 0.15*c
c = 30/0.15
c = 200
m = 1000-200 = 800
So the dairy needs 800 pints of milk and 200 pints of cream
