Answer:
a) $1056.33 b) 23 years
Step-by-step explanation:
a) 10000(1+1.85/100)^3=10565.33 (2d.p.)
b) let x be the no. of years
15000 = 10000(1+1.85/100)^x
1.5 = 1.0185^x
ln both sides
ln 1.5 = x ln 1.0185
x = ln 1.5/ln 1.0185
=22.11
=23 years (rounded up)
2.434 to 3 sigfigs = 2.43 .
Micheal has 40ft of fencing for the rectangular dog run. So the perimeter of the dog run is 40ft.
Perimeter=40ft
The perimeter of a rectangle is:
P=2l+2w
Since we know the length is 5 and the perimeter is 40, we can solve for the width.
P=2l+2w
40=2*(5)+2w
40=10+2w
subtract 10 from both sides
30=2w
divide both sides by 2
15=w
The width of the fence is 15feet.
Answer:
170
Step-by-step explanation:
Equations derived from given info.
Use some substitution now.
- P=2(E+40)
- J=E+40
- P+J+E=300
Substitute first and second equation into third.
- 2(E+40)+E+40+E=300
- 2E+80+E+40+E=300
- 4E+120=300
- 4E=180
- E=45
Emily has 45 stickers. But we want to know what Peter has.
Use P=2(E+40)
Peter has 170 stickers.
