Write an exponential function to model each situation. Find each amount after the specified time.

14. A population of 1,236,000 grows 1.3% per year for 10 years.

15. A population of 752,000 decreases 1.4% per year for 18 years.

16. A new car that sells for $18,000 depreciates 25% each year for 4 years.

14. X = 1236000(1.013^t)

1,406,413.169 at t = 10

15. X = 752000 × (0.86^t)

49,795.48457 at t = 18

16. X = 18000 × 0.75^t

5,695.3125 at t = 4

Step-by-step explanation:

14.

X = 1236000 × (1 + 1.3%)^t

X = 1236000(1.013^t)

At t = 10,

X = 1236000 × 1.013¹⁰

= 1406413.169

15. 752000 × (1 - 1.4%)^t

X = 752000 × (0.86^t)

At t = 18

X = 752000 + 0.86¹⁸

= 49795.48457

16.

X = 18000 × (1 - 25%)^t

X = 18000 × 0.75^t

At t = 4

X = 18000 × 0.75⁴

X = 5695.3125

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.