An investment of \displaystyle PP dollars is compounded \displaystyle nn-times per year at a constant annual interest rate of \displaystyle r\%r%. The amount of money \displaystyle A(t)A(t) that you have after investing for \displaystyle tt years is given by the equation A(t) = P\left(1+\frac{r}{n}\right)^{nt}. A(t)=P(1+
n
r
​
)
nt
.

How much money would you have after 18 years if you invested $15,000 at an annual interest rate of 4% where the interest is compounded monthly? Round to the nearest dollar.

The ratio pv to nrt is plotted against pressure for ch4 at 0°c and 200°c. why does the curve for 0°c drop below the horizontal line for an ideal gas whereas the curve for 200°c does not?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

The graph below shows the height of a projectile t seconds after it is launched. if acceleration due to gravity is -16 ft/s2, which equation models the height of the projectile correctly?