If you start with a principal amount of $150 and the simple interest rate is 3%. What will the interest amount be after three years? *

Step-by-step explanation:

Simple interest can be found using the following formula:

where p is the principal, i is the interest rate as a decimal, and t is the time.

The principal amount is $150. The interest rate is 3%. The time is 3 years.

Substitute the values into the formula.

Multiply.

The interest amount is $13.50

The total amount of money is $163.50. (principal + interest = 150.0 + 13.50 = 163.50)

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