A. equation: y = -3x - 2
B. y-intercept: -2
<em><u>Solution:</u></em>
Given that,
<em><u>Write the equation 12x = - 4y - 8 in slope-intercept form</u></em>
The slope intercept form is given as:
Where,
m is the slope and "c" is the y intercept
From given
Thus the slope intercept form is found
Comparing with y = mx + c ,
c = -2
Thus the y intercept is -2
Function 1:
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4
Function 2 derivative: -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒ x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13
Function 2 has the larger maximum.
To convert a fraction to a decimal , the solution is to divide the numerator by the denominator. Since its a mixed fraction, you already know what the 5/8 of the problem is (0.625). All you do it add the 4 to the decimal and it'll be 4.0625
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54.
Like this variation of the problem! :)
We calculate the future value of the 6 annual deposits of $1500 at 8%:
F=1500(1.08^6-1)/(0.08)=11003.89
Since the last payment is due on the day of withdrawal, he would have paid $1500 to get back $11003.89, i.e. with an excess of 1003.89.
Therefore his last payment is 1500-1003.89=$496.11
