Diego wonders how much money he could save over 25 years if he puts $150 a year into an account with 4% interest per year compounded annually . He calculates the following , but thinks he must have something wrong, since he ended up with a very small amount of money : total amount = 150 * (1 - 0.04 ^ 25)/0.96 = 156.25 What did Diego forget in his calculation ? How much should his total amount be? Explain or show your reasoning

hreryryrranswer:

step-by-step explanation:

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