Zeke deposited $300 into a savings account. the interest rate on the account is 3%, compounded continuously. to determine how long it will take to triple his money, zeke wrote the following equation, where t represents time, in years.
900=300e^0.03t
which equation is equivalent to the one zeke wrote?
ln900=ln(9t)
ln900=9t
ln3=0.03t
ln3=ln(0.03t)

answer: 12

step-by-step explanation:

because yes

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