Find an equation of the plane passing through (0 comma negative 4 comma 1 )(0,−4,1) that is orthogonal to the planes 55xplus+33ynegative 5−5zequals=00 and negative 5−5xplus+44yplus+22zequals=99.

26x + 15y + 35*z = -25

Step-by-step explanation:

Given the planes:

5x + 3y -5z = 0

-5x + 4y + 2z = 9

First we have to find the cross product of the normal vectors of these planes:

<5, 3, -5> x <-5, 4, 2> = <3*2 - 4*(-5), -[5*2 - (-5)*(-5)], 5*4 - (-5)*3> =

<26, 15, 35>

Then substitute these and the point (0, -4, 1) into the standard plane equation:

ax + by + cz = d

26*0 + 15*(-4) + 35*1 = d

-25 = d

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%