If your salary is $40,000 and you recieve 3% increase at the end of every year, what is the total amount in dollars you will earn over the 16 years that you work

So we are going to start out with $40,000 so if she gets a %3 increase every year.

1: $40,000

2: $41,200

3: $42,436

4: $43,709.08

5: $45,020.3524

6: $46,370.96

7: $47,762.0918612

8: $49,194.954617

9: $50,670.8032555

10: $52,190.9273532

11: $53,756.6551738

12: $55,369.354829

13: $57,030.4354738

14: $58,741.3485381

15: $60,503.5889942

16: $62,318.696664 <===

So your Answer would be $62,318 (without any cents) If you need the cents i made a arrow on the One. Hope this helps :D

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step-by-step explanation:

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.