Some banks now use continuous compounding of an amount invested. In this case, the equation that models the value of an initial investment of P dollars in t years at an annual interest rate of r is given by A = Pe^rt. Using this equation, find the value in 5 years of an investment of $2000 that earns 7% annual interest.

9514 1404 393

  $2838.14

Step-by-step explanation:

Fill in the values and do the arithmetic.

  A = 2000e^(0.07·5)

  A = 2000e^0.35 ≈ 2838.14

The value of the investment in 5 years will be $2838.14.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

rounding to the nearest thousandth would be 452,000