On your first day of work you get 1 dollar on your second day you get 4 dollars on your third day you get 9 dollars on your fourth day you get 16 dollars. It continues for 30 days an then you receive a completion bonus of 500,000

Step-by-step explanation:

How do you find a function for this story?

On your first day of work, you get $1. On your second day of work, you get $4. On your third day of work, you get $9. On your fourth day of work, you get $16. It continues this way for 30 days and then once you’ve completed the 30 days you receive a completion bonus of $500000.

No. of days Amount earned

1 1

2 4

3 9

4 16

. .

. .

. .

30 500,000

To find a function to the story

Let

No. of days = d

Amount earned = A

When,

d=1, A=1

d=2, A=4

d=3, A=9

d=4, A=16

It can be seen that amount earned is a square of the number of days

Therefore,

The function for the story is:

A=d^2

When d=30

A=30^2

=30*30

=900

Adding the total earnings for 30 days=$500,000

That is

1+4+9+16+25+36+49+64+81+100+121+144+169+196+225+256+289+324+361+400+441+484+529+576+625+676+729+784+841+900=500000

w'x is 0.

hope it

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.