How many years will it take an initial investment of $25,000 to triple to $75,000 at an annual rate of 7% compounded continuously

Step-by-step explanation:

Given

--- P

--- A

--- R

Required

Determine the time (t)

Using continuous growth formula:

We have

Convert rate to decimal

Substitute values for A, P and r

Divide both sides by 25000

Rewrite the exponential function as logarithmic, we have:

Reorder

Divide both sides by 0.07

Hence, the time is approximately 15.7 years

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

step-by-step explanation: