Credit cards are not considered to be part in the m1 and m2
definition of money. Because the M1 definition of money revolves around money
which are in the hands of the public and written checks, while the M2
definition of money revolves around savings accounts, time deposits of under
$100,000, and balances in retail money market mutual funds. Which also includes
the M1 in the M2. While, the M3 definition of money refers to the balances in
institutional money funds, repurchase accountabilities dispensed by depository establishments,
and the Eurodollar. It also includes M1 and M2. Credit cards are not considered
to be in M1 and M2 definitions of money, since credit cards becomes part of the
money transaction only, during the payment of your credit card bill.
V=x(8-2x)(10-2x) or expanded
V=x(4x^2-36x+80)
V=4x^3-36x^2+80x
...
If you were to graph the above equation for V(x) you will see a maximum point where the "y" value is maximized, but be careful as V will increase without bound at values of x that are not part of the domain, ie, in this case x<8/2, x<4 to have any meaning...The proper domain of this function is:
x=(0,4), Mathematically finding this point quickly is by differentiating it with respect to x...
dV/dx=12x^2-72x+80, The maximum volume will occur when dV/dx=0 and the x value is within the correct domain...
12x^2-72x+80=0 (using the quadratic formula for ease)
x=(72±√1344)/24, and since x<4
x≈1.472in (to the nearest one thousandth of an inch)
<span><span>Corresponding angles are congruent (same measure)So in the figure above, the angle P=P', Q=Q', and R=R'.</span><span>Corresponding sides are all in the same proportionAbove, PQ is twice the length of P'Q'. Therefore, the other pairs of sides are also in that proportion. PR is twice P'R' and RQ is twice R'Q'.
so the value of x :
x / 110 = 21.6 / 72
solve for x
x = 33</span></span>
Step-by-step explanation:
Ryan had a head start of 10 meters.
