$5000 is invested at 6.75% continuously compounding. what is the time, in years, for the investment to double? answer to the nearest hundredths place. years

Use formula to calculate continuously compounded interest

where

P is the principal (initial) balance,

r is the rate of interest,

t is the time in years.

In your case, P=$5000, r=0.0675, A=$10000 (the amount of money should be doubled), then

Therefore, you need about 10.3 years for the investment to double. If you consider the whole years, then you need 11 years.

11 years  

step-by-step explanation:

options

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form