Parsons Bank offers two checking-account plans. The No Frills plan charges 35cents per check whereas the Simple Checking plan costs $ 6per month plus 15cents per check. For what number of checks per month will the Simple Checking plan cost less?

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For more than 35 checks the simple checking plan cost less.

Step-by-step explanation:

Let for x number of checks per month will the simple checking plan cost less.

Given,

In no frill checking plan,

Per month charges = $ 0,

Charges for per check = 40 cents = $ 0.40,

Thus, the cost for x checks in a month = 0 + 0.40x = 0.40x

In simple checking plan,

Per month charges = $ 7,

Charges for per check = 20 cents = $ 0.20,

Thus, the cost for x checks in a month = 7 + 0.20x

Hence, we can write,

0.40x > 7 + 0.20x

0.20x > 7

x > 35

Therefore, for more than 35 checks the simple checking plan cost less.

i'm sorry i don't know

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