Answer:
11 hrs
Step-by-step explanation:
12 - (1/3 + 1/8 + 1/12)
1/3 + 1/8 + 1/12 = (8+3+2)/24 = 13/24 (13 hrs of 24)
24 - 13 = 11 hrs
b) What is the common ratio of the geometric progression?
c) What will Jean-Claude's gnome be worth after 10 years?
d) It will take k years for the value of Jean-Claude's gnome to exceed £120,000. Find k.
Answer:
Step-by-step explanation:
a ) The worth of Jean-Claude's gnome after 1 year
= 80000 x 1.02
= £81600
b ) common ratio of geometric progression
= 81600 / 80000
= 1.02
c ) worth after 10 years
= 80000 x 1.02¹⁰
= 80000 x 1.21899
= £97519.55
d )
120000 = 80000 x
1.5 =
ln1.5 = k ln 1.02
k = ln 1.5 / ln 1.02
= .4054 / .0198
= 20.47 years .
prime nothing can go into that number
Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.
A.
All squares are rhombuses.
B.
All rectangles are parallelograms.
C.
All rhombuses are trapezoids.
D.
All 4-sided shapes have at least one pair of parallel sides.
b) (0,0)
c) (7,6)
d) (10,5)