Mr. kelly pays $12,564 a year for rent. his rent is a constant amount each month. which equation represents the amount he pays her month if m=months and c=total rent paid for the year?

1047 m = c

Step-by-step explanation:

Given : Mr.kelly pays $12,564 a year for rent. His rent is a constant amount each month.

To Find:Which equation represents the amount he pays her month if m=months and c=total rent paid for the year?

Solution :

Since he pays for a year (12 months) =  $12,564

Since  His rent is a constant amount each month.

He pays for one month =

Thus the amount he pays per month $1047

If he pays for m months then the total amount(c) of rent for m months

⇒1047 m = c

Hence equation represents the amount he pays her month if m=months and c=total rent paid for the year: 1047 m = c

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204